Journal articles on the topic 'Hysteresis'

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1

Farrokh, Mojtaba, Farzaneh Ghasemi, Mohammad Noori, Tianyu Wang, and Vasilis Sarhosis. "An Extreme Learning Machine for the Simulation of Different Hysteretic Behaviors." Applied Sciences 12, no. 23 (December 5, 2022): 12424. http://dx.doi.org/10.3390/app122312424.

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Hysteresis is a non−unique phenomenon known as a multi−valued mapping in different fields of science and engineering. Accurate identification of the hysteretic systems is a crucial step in hysteresis compensation and control. This study proposes a novel approach for simulating hysteresis with various features that combines the extreme learning machine (ELM) and least−squares support vector machine (LS−SVM). First, the hysteresis is converted into a single−valued mapping by deteriorating stop operators, a combination of stop and play hysteresis operators. Then, the converted mapping is learned by a LS−SVM model. This approach facilitates the training steps and provides more accurate results in contrast to the previous experimental studies. The proposed model is evaluated for several hystereses with various properties. These properties include rate−independent or rate−dependent, congruent or non-congruent, and symmetric or asymmetric problems. The results indicate the efficiency of the newly developed technique in terms of accuracy, computational cost, and convergence rate.
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2

Zhao, Xinlong, Shuai Shen, Liangcai Su, and Xiuxing Yin. "Elman neural network–based identification of rate-dependent hysteresis in piezoelectric actuators." Journal of Intelligent Material Systems and Structures 31, no. 7 (February 25, 2020): 980–89. http://dx.doi.org/10.1177/1045389x20905987.

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Rate-dependent hysteresis nonlinearity in piezoelectric actuators severely limits micro- and nanoscale system performance. It is necessary to establish a dynamic model to describe the full behavior of rate-dependent hysteresis. In this article, the Elman neural network–based hysteresis model is developed for piezoelectric actuators. An improved dynamic hysteretic operator is proposed to transform the multi-valued mapping of hysteresis into one-to-one mapping on a newly constructed expanded input space. Then, Elman neural network incorporated with the improved dynamic hysteretic operator is utilized to approximate the behavior of rate-dependent hysteresis. The combination of Elman neural network and the improved dynamic hysteretic operator can dually embody the dynamic property and is capable of fully extracting the characteristics of rate-dependent hysteresis. The experimental results are presented to illustrate the potential of the proposed modeling technique.
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3

Yi, Sicheng, Quan Zhang, Liang Xu, Tianhong Wang, and Long Li. "Experimental characterization and modular modeling of hystereses for smart material actuators." Smart Materials and Structures 30, no. 12 (November 12, 2021): 125025. http://dx.doi.org/10.1088/1361-665x/ac3435.

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Abstract In this article, we present a novel modular modeling approach to describe the hystereses for piezoelectric, magnetostrictive and shape memory alloy (SMA) actuators. For the above actuators, the output vs. input loops exhibit varying hystereses under the input signals of the different frequencies and amplitudes. To this end, the experimental characterization is conducted and hysteresis modeling approach is studied. Two characteristic indexes, i.e. loop relative width, loop asymmetry coefficients, are quantitatively analyzed according to the open-loop experiments for the three actuators. Based on the hysteresis phenomenon analyses, different submodels are selected to describe those phenomena. The Prandtl-Ishlinskii submodel is applied for symmetry rate-independent hysteresis identification; the arctangent-polynomial modified Prandtl-Ishlinskii submodel is proposed for asymmetry rate-independent hysteresis identification; infinite impulse response submodel is used for rate-dependent hysteresis identification. Those submodels are selected to construct a cascaded overall model to describe the hysteresis of piezoelectric, magnetostrictive, and SMA actuators. The hysteresis experimental identification results show that, with the proposed phenomenon-based hysteresis modular modeling approach, better performance can be obtained in terms of modeling accuracy and computation time than some other approaches.
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4

Filippini, Mattia, Piergiorgio Alotto, Gregor Glehn, and Kay Hameyer. "Magnetic transmission gear finite element simulation with iron pole hysteresis." Open Physics 16, no. 1 (April 18, 2018): 105–10. http://dx.doi.org/10.1515/phys-2018-0017.

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Abstract Ferromagnetic poles in a magnetic transmission gear require particular attention during their design process. Usually, during the numerical simulation of these devices the effects of hysteresis for loss estimation are neglected and considered only during post-processing calculations. Since the literature lacks hysteresis models, this paper adopts a homogenized hysteretic model able to include eddy current and hysteresis losses in 2D laminated materials for iron poles. In this article the results related to the hysteresis in a magnetic gear are presented and compared to the non-hysteretic approach.
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5

Jaafar, M. F., Faizal Mustapha, and Mazli Mustapha. "Dynamic Compression Simulation of Magnetorheological Elastomer Using Bouc-Wen Hysteretic Model." Materials Science Forum 1093 (July 21, 2023): 37–43. http://dx.doi.org/10.4028/p-kv4fhz.

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This paper explores the versatility of Bouc-Wen hysteresis model in simulating the dynamic behaviour of magnetorheological elastomer (MRE) material. Bouc-Wen model have been used in many field of science including modelling the hysteresis phenomenon happen in magnetic material, elastomer, base isolation of structures and many more. Introduced by the Robert Bouc, this nonlinear hysteretic model has been modified by many researchers to suit different applications. Compression testing of MRE material under high strain amplitude produces nonlinear hysteresis curve based on stress-strain data. Bouc-Wen hysteretic model has been found to be able to simulate the hysteresis curve of MRE material using parameter identification method within MATLAB Simulink.
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6

Banks, H. T., A. J. Kurdila, and G. Webb. "Identification of hysteretic control influence operators representing smart actuators part I: Formulation." Mathematical Problems in Engineering 3, no. 4 (1997): 287–328. http://dx.doi.org/10.1155/s1024123x97000586.

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A large class of emerging actuation devices and materials exhibit strong hysteresis characteristics during their routine operation. For example, when piezoceramic actuators are operated under the influence of strong electric fields, it is known that the resulting input–output behavior is hysteretic. Likewise, when shape memory alloys are resistively heated to induce phase transformations, the input–output response at the structural level is also known to be strongly hysteretic. This paper investigates the mathematical issues that arise in identifying a class of hysteresis operators that have been employed for modeling both piezoceramic actuation and shape memory alloy actuation. Specifically, the identification of a class of distributed hysteresis operators that arise in the control influence operator of a class of second order evolution equations is investigated. In Part I of this paper we introduce distributed,hysteretic control influence operators derived from smoothed Preisach operators and generalized hysteresis operators derived from results of Krasnoselskii and Pokrovskii. For these classes, the identification problem in which we seek to characterize the hysteretic control influence operator can be expressed as an ouput least square minimization over probability measures defined on a compact subset of a closed half-plane. In Part II of this paper, consistent and convergent approximation methods for identification of the measure characterizing the hysteresis are derived.
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7

Zakerzadeh, Mohammad R., and Hassan Sayyaadi. "Experimental comparison of some phenomenological hysteresis models in characterizing hysteresis behavior of shape memory alloy actuators." Journal of Intelligent Material Systems and Structures 23, no. 12 (June 1, 2012): 1287–309. http://dx.doi.org/10.1177/1045389x12448444.

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Among the phenomenological hysteresis models, the Preisach model, Krasnosel’skii–Pokrovskii model, and Prandtl–Ishlinskii model have found extensive applications for modeling hysteresis in shape memory alloys and other smart actuators. Since the mathematical complexity of the identification and inversion problem depends directly on the type of phenomenological hysteresis modeling method, choosing a proper phenomenological model among the mentioned models for modeling the hysteretic behavior of shape memory alloy actuators is a task of crucial importance. Moreover, the accuracy of the hysteresis modeling method in characterizing shape memory alloy hysteretic behavior consequently affects the whole compensator design task. In this article, the accuracy of the mentioned phenomenological models in characterizing and predicting the hysteretic behavior of shape memory alloy actuators is experimentally compared. It will be shown that although, unlike the Preisach and Krasnosel’skii–Pokrovskii models, the identification process of the Prandtl–Ishlinskii model is a time-consuming process, it leads to the best results when the outputs of these models are compared with the experimental data. Since the Prandtl–Ishlinskii model is also analytically invertible and can be easily implemented as a feed-forward controller for compensating the hysteretic nonlinearity behavior of shape memory alloy actuators, it seems to be the best model for modeling and compensating the hysteretic behavior of shape memory alloy actuators.
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8

Shi, Zhaoyao, Huiming Cheng, Bo Yu, and Haobin Li. "Loading Rate Dependence of Reducer Hysteresis and Its Influence on Lost Motion Test." Machines 10, no. 9 (September 2, 2022): 765. http://dx.doi.org/10.3390/machines10090765.

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The study of hysteresis can be traced back to the 19th century. The key characteristics of hysteresis are rate independence and rate dependence. A typical system with hysteresis characteristics is the reducer. In the industrial sector, the hysteresis phenomenon of a reducer is often illustrated by the lost motion, which is always consistent with the rate independence by default. In the paper, a hysteretic model of reducer considering geometric errors is established. Theoretically, the hysteretic characteristics of the reducer are found to mostly maintain the rate dependence rather than the rate independence. The loading rate will lead to a change in the hysteretic characteristics of the reducer, thereby affecting the lost motion test and the design of the reducer. Through further experimental research, it is verified that the dependence of the loading rate will have an impact on the results of the lost motion test, and different gear materials have different effects on the dependence of the loading rate.
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9

Yu, Y., Z. Xiao, N. G. Naganathan, and R. V. Dukkipati. "Dynamic Preisach modelling of hysteresis for the piezoceramic actuator system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 215, no. 5 (May 1, 2001): 511–21. http://dx.doi.org/10.1243/0954406011520913.

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A rate-dependent hysteresis property is a common phenomenon in various hysteretic systems including the piezoceramic material system. The dynamic Preisach model is needed to describe the rate-dependent hysteresis. This paper proposes a new dynamic Preisach model by introducing the dependence of the Preisach function on the input variation rate. An input variation rate function was introduced to adjust the relationship of hysteresis loop to the input variation rate for different hysteresis systems. A detailed numerical implementation procedure is also presented. Experiments were conducted to study the hysteresis behaviour of the piezoceramic actuator system and to verify the proposed model.
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10

Tan, Yonghong, and Xinlong Zhao. "NEURAL MODELING AND CONTROL OF DYNAMIC SYSTEMS WITH HYSTERESIS." Transactions of the Canadian Society for Mechanical Engineering 31, no. 1 (March 2007): 127–41. http://dx.doi.org/10.1139/tcsme-2007-0008.

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A hysteretic operator is proposed to set up an expanded input space so as to transform the multi-valued mapping of hysteresis to a one-to-one mapping so that the neural networks can be applied to model of the behavior of hysteresis. Based on the proposed neural modeling strategy for hysteresis, a pseudo control scheme is developed to handle the control of nonlinear dynamic systems with hysteresis. A neural estimator is constructed to predict the system residual so that it avoids constructing the inverse model of hysteresis. Thus, the control strategy can be used for the case where the output of hysteresis is unmeasurable directly. Then, the corresponding adaptive control strategy is presented. The application of the novel modeling approach to hysteresis in a piezoelectric actuator is illustrated. Then a numerical example of using the proposed control strategy for a nonlinear system with hysteresis is presented.
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11

Awrejcewicz, J., and L. Dzyubak. "Modeling, chaotic behavior, and control of dissipation properties of hysteretic systems." Mathematical Problems in Engineering 2006 (2006): 1–21. http://dx.doi.org/10.1155/mpe/2006/94929.

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In the present work, hysteresis is simulated by means of internal variables. Analytical models of different types of hysteresis loops enable reproduction of major and minor loops and provide good agreement with experimental data. Using an effective algorithm based on the analysis of wandering trajectories, an evolution of chaotic behavior regions of oscillators with hysteresis is presented in various parametric planes. A substantial influence of a hysteretic dissipation value on the form and location of these regions and also restraining and generating effects of the hysteretic dissipation on chaos occurrence are shown. It was demonstrated that for fixed parameters, which govern the shape of a hysteresis loop, the extent of pinch of this loop could be controlled by means of the amplitude and frequency of external periodic excitation.
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12

Jang, Gab Chul, and Kyong Ho Chang. "A Rate-Dependent Hysteresis Model for Structural Steel (SM490) Considering the Coupled Effect of Strain Rate Hardening and Temperature Rise." Materials Science Forum 580-582 (June 2008): 581–84. http://dx.doi.org/10.4028/www.scientific.net/msf.580-582.581.

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In steel structures, the mechanical characteristics and the hysteretic behavior during dynamic behavior is different to those during static deformation. This is due to the coupled effect of strain rate hardening and temperature rise. To predict hysteretic behavior of steel structures under dynamic/cyclic loading such as earthquake, it is therefore necessary to develop a rate-dependent hysteresis model which can accurately describe the static-dynamic mechanical characteristics considered the coupled effect of strain rate hardening and temperature rise as well as the hysteretic behavior. In this paper, to develop a rate-dependent hysteresis model of SM490(structural steel according to Korean standard), the monotonic and cyclic loading tests were performed for strain rate. Based on the test results, the rate-dependent hysteresis model of SM490 was formulated and with the material parameters used, the model was derived. The validity and the accuracy of the developed model were verified by comparing between the analyses and the experiments. The comparison results show that the rate-dependent hysteresis model of SM490 developed by the authors can accurately predict the static-dynamic hysteretic behavior of steel structures under cyclic loading.
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13

Bagagiolo, Fabio, and Marta Zoppello. "Hysteresis and controllability of affine driftless systems: some case studies." Mathematical Modelling of Natural Phenomena 15 (2020): 55. http://dx.doi.org/10.1051/mmnp/2020023.

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We investigate the controllability of some kinds of driftless affine systems where hysteresis effects are taken into account, both in the realization of the control and in the state evolution. In particular we consider two cases: the one when hysteresis is represented by the so-called play operator, and the one when it is represented by a so-called delayed relay. In the first case we prove that, under some hypotheses, whenever the corresponding non-hysteretic system is controllable, then we can also, at least approximately, control the hysteretic one. This is obtained by some suitably constructed approximations for the inputs in the hysteresis operator. In the second case we prove controllability for a generic hysteretic delayed switching system. Finally, we investigate some possible connections between the two cases.
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14

Yaniv, Yael, Raphael Sivan, and Amir Landesberg. "Analysis of hystereses in force length and force calcium relations." American Journal of Physiology-Heart and Circulatory Physiology 288, no. 1 (January 2005): H389—H399. http://dx.doi.org/10.1152/ajpheart.00722.2003.

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Analysis of the hystereses in the force-length relationship at constant Ca2+ concentration and in the force-calcium relationship at constant sarcomere length (SL) provides insight into the mechanisms that control cross-bridge (XB) recruitment. The hystereses are related here to two mechanisms that regulate the number of strong XBs: the cooperativity, whereby the number of strong XBs determines calcium affinity, and the mechanical feedback, whereby the shortening velocity determines the duration for which the XBs are in the strong state. The study simulates the phenomena and defines the role of these feedbacks. The model that couples calcium kinetics with XB cycling was built on Simulink software (Matlab). Counterclockwise (CCW) hysteresis, wherein the force response lags behind the SL oscillations, at a constant calcium level, is obtained in the force-length plane when neglecting the mechanical feedback and accounting only for the cooperativity mechanism. Conversely, the force response precedes the SL oscillations, yielding a clockwise (CW) hysteresis when only the mechanical feedback is allowed to exist. In agreement with experimental observations, either CW or CCW hysteresis is obtained when both feedbacks coexist: CCW hystereses are obtained at low frequencies (<3 Hz), and the direction is reversed to CW at higher frequencies (>3 Hz). The cooperativity dominates at low frequencies and allows the muscle to adapt XB recruitment to slow changes in the loading conditions. The changeover frequency from CCW to CW hysteresis defines the velocity limit above which the muscle absorbs rather than generates energy. The hysteresis in the force-calcium relation is conveniently explained by the same cooperativity mechanism. We propose that a single cooperativity mechanism that depends on the number of strong XBs can explain the hystereses in the force-length as well as in the force-calcium relationships.
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15

Elhaj, Murtada. "A Review on Fundamentals and Capturing Petroleum Fluid Hysteresis Through Experiments." International Journal of Petroleum Technology 10 (September 7, 2023): 39–52. http://dx.doi.org/10.15377/2409-787x.2023.10.4.

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Hysteresis is proven to have a significant role in petroleum fluids and other disciplines for better understanding and evaluation. This shows a need to be explicit about precisely what is meant by the word "hysteresis." For a long time, the term hysteresis has been used and has attracted the attention of most researchers and investigators. Despite its common usage, hysteresis is used in different disciplines to mean different things. Thus, hysteresis has many definitions depending on the book or paper's area of interest. While various definitions of the term 'hysteresis' have been suggested, this paper will focus on the definition in the oil and gas industry. Hysteretic impacts petroleum fluids either positively or negatively. Therefore, accurately estimating fluid properties curves is vital in evaluating hydrocarbon recovery processes. This paper addresses and discusses a comprehensive review of the hysteresis of different petroleum fluid properties and their applications. This paper reviews many fluid properties of hysteresis and investigates them experimentally. Numerous laboratory studies in hysteresis are present in the literature and critically reviewed and highlighted in this research. This paper aims to review the experimental processes of fluid hysteresis extensively. To satisfy this aim, this paper offers insights into and explanations for experiments that have been used in fluid hysteresis. The outcomes highlight some missing concepts of the existing models and experimental processes for fluid hysteresis. Furthermore, this paper tracks the current development of hysteresis and gives insight into the future trends in the application of hysteresis.
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16

Wang, Tianyu, Mohammad Noori, Wael A. Altabey, Mojtaba Farrokh, and Ramin Ghiasi. "Parameter identification and dynamic response analysis of a modified Prandtl–Ishlinskii asymmetric hysteresis model via least-mean square algorithm and particle swarm optimization." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 235, no. 12 (October 7, 2021): 2639–53. http://dx.doi.org/10.1177/14644207211006840.

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Hysteresis is a nonlinear phenomenon observed in the dynamic response behavior of numerous structural systems under high intensity cyclic or random loading, as well as in numerous mechanical and electromagnetic systems. For several decades, hysteretic response analysis of structural systems has been widely studied and numerous hysteresis models have been proposed and utilized in order to reproduce and better understand the complex hysteretically degrading behavior of structural systems. An important area of research in this regard has been the parameter identification of hysteretic systems. In this paper, we propose a modified Prandtl–Ishlinskii model to simulate the asymmetric hysteresis, which is the complex behavior in structural systems. In addition, a new approach based on particle swarm optimization and least-mean square algorithm is utilized for parameter identification of this hysteresis model. Finally, the model is applied in structural dynamic response analysis of a base isolated structural model under seismic load.
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17

Ktena, A., D. I. Fotiadis, and C. V. Massalas. "Hysteresis Modelling in Ferromagnetic Composites." Advanced Composites Letters 13, no. 1 (January 2004): 096369350401300. http://dx.doi.org/10.1177/096369350401300109.

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The class of models presented here, targeting the modelling of hysteresis processes in the magnetic and elastic properties of ferromagnetic composites, is based on the Preisach formalism. The 1D and 2D formulations are equipped with a set of five different local hysteresis operators, to address different hysteretic responses. The resulting algorithms are efficient enough to be used as core models in simulations or real-time control. The types of hysteretic responses discussed and modeled include the magnetization vs. magnetic field response, M(H), the deformation vs. temperature response, x(T), and the deformation vs. field response, λ(H), also known as magnetostriction.
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18

Wang, Hong. "Hysteresis Properties of Corroded High Strength Steel." E3S Web of Conferences 248 (2021): 01024. http://dx.doi.org/10.1051/e3sconf/202124801024.

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In order to study the effects of corrosion damage on the hysteresis properties of high strength steel (HSS), dry-wet cycle corrosion tests were conducted on Q690D steel to obtain 6 batches of corroded specimens, and cyclic loading tests were performed on them to analyse the degradation law of hysteresis curve, skeleton curve and hysteretic energy, and then establish the hysteresis constitutive model of corroded HSS steel. Results indicated that although the hysteresis curves of corroded specimens are still smooth and full, corrosion damage would result in the continuous decrease of peak stress, and lead to the linear reduction of hysteresis energy. Besides, the cyclic hardening coefficient K’ and cyclic hardening index n’ of HSS would also decrease linearly with corrosion degree. Based on these experimental results, a new hysteresis constitutive model for corroded HSS steel was proposed, and its validity was verified.
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19

Meng, Ai Hua, Ming Fan Li, Han Lin He, and Hua Wei Ji. "Dynamic Coupling Hysteresis Model for Giant Magnetostrictive Materials." Advanced Materials Research 311-313 (August 2011): 2262–68. http://dx.doi.org/10.4028/www.scientific.net/amr.311-313.2262.

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The giant magnetostrictive material (GMM) in dynamic magnetic field has nonlinear and hysteretic characters. Based on the nonlinear constitutive model of the material, the quasi-static hysteresis model with magneto-elastic coupling was built on the Jiles-Atherton model. Considering the eddy current and anomalous losses, the hysteresis model was modified, and the dynamic coupling hysteresis model was established on the basis. Compared with the experimental data, the areas of hysteresis curves increased with frequency, and the maximum magnetostriction strain of the curves increased with prestress. The model agreed well with the experiments within the range of 500Hz.
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20

Dowrick, D. J. "Hysteresis loops for timber structures." Bulletin of the New Zealand Society for Earthquake Engineering 19, no. 2 (June 30, 1986): 143–52. http://dx.doi.org/10.5459/bnzsee.19.2.143-152.

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This paper reviews experimentally determined hysteresis loops for timber structures, including moment-resisting joints with (i) steel and (ii) plywood side plates, (iii) shear walls clad with various materials, and (iv) push-pull tests on various connection details. The paper compares bending and push-pull hysteresis loops for nailed steel side-plate joints. An attempt is made to classify the above hysteretic behaviour for analytical purposes, and the available computer models are reviewed for applicability to these hysteresis shapes.
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21

Rafraf, Samia, Lamia Guellouz, Houda Guiras, and Rachida Bouhlila. "Quantification of hysteresis effects on a soil subjected to drying and wetting cycles." International Agrophysics 30, no. 4 (October 1, 2016): 493–99. http://dx.doi.org/10.1515/intag-2016-0020.

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Abstract A quantitative description of soil hysteretic response during drying-wetting cycles is required to improve prediction of the soil water retention model. The objective of the study is to quantify the degree of hysteresis, which is helpful to evaluate the precision of soil water flow calculation. A new procedure to quantify the degree of hysteresis is presented. The Arya-Paris model allows assessment of hysteresis effects from initial drying curves, dynamic contact angles, degree of hysteresis value, and maximum difference value between drying and subsequent wetting curves. The experimental results show that the degree of hysteresis varies with the particle size, bulk density, void ratio, initial water content, and contact angle of the soil. The new findings can be very useful in modelling soil water flows.
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22

Song, G., B. Conard, and S. K. R. Iyengar. "Damping Characterization Using Hysteresis on Static Nonrolling and Dynamic Rolling Behavior of Farm Tires4." Tire Science and Technology 36, no. 2 (June 1, 2008): 108–28. http://dx.doi.org/10.2346/1.2917754.

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Abstract This paper presents the characterization of damping behavior as characterized by hysteresis for farm equipment tires and time domain numerical simulation of off-road tire rolling using finite element techniques. The hysteretic behavior is characterized by the load-displacement curves from static nonrolling vertical loading tests. Using a highly simplified finite element model based solely on tire catalog information and general constructional information, a hysteresis material model is used to simulate the hysteretic load-displacement behavior of farm tires. By choosing appropriate parameters for the hysteresis model, the static nonrolling finite element analyses results correlate very well to the experimental results. The fitted hysteresis material model is then used to simulate the dynamic rolling of a tire dropping off a curb. The bouncing vertical acceleration is of great interest to off-road tires. First, implicit dynamics is used to simulate the rolling using the calibrated hysteresis model. Very good correlations between the simulation results and vehicle test results are obtained. For better off-road rolling performance, the hysteresis model is recalibrated to reduce the vertical acceleration of the tire after the first bounce following the drop-off. The hysteresis model is replicated in explicit dynamics using an Abaqus/Explicit VUMAT subroutine to simulate the dynamic tire rolling behavior. By introducing additional damping and creep dissipation, the vertical acceleration is attenuated in excess of 50% after the first bounce following the drop-off to improve riding comfort. This hysteresis characterization has been shown to give good agreement with test data on nonrolling tests and dynamic drop-off tests. All modeling and solutions were performed using commercially available Abaqus software.
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23

Rączka, Waldemar, and Marek Sibielak. "Model of Shape Memory Alloy Actuator with the Usage of LSTM Neural Network." Materials 17, no. 13 (June 25, 2024): 3114. http://dx.doi.org/10.3390/ma17133114.

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Shape Memory Alloys (SMAs) are used to design actuators, which are one of the most fascinating applications of SMA. Usually, they are on-off actuators because, in the case of continuous actuators, the nonlinearity of their characteristics is the problem. The main problem, especially in control systems in these actuators, is a hysteretic loop. There are many models of hysteresis, but from a control theory point of view, they are not helpful. This study used an artificial neural network (ANN) to model the SMA actuator hysteresis. The ANN structure and training method are presented in the paper. Data were generated from the Preisach model for training. This approach allowed for quick and controllable data generation, making experiments thoroughly planned and repeatable. The advantage and disadvantage of this approach is the lack of disturbances. The paper’s main goal is to model an SMA actuator. Additionally, it explores whether and how an ANN can describe and model the hysteresis loop. A literature review shows that ANNs are used to model hysteresis, but to a limited extent; this means that the hysteresis loop was modelled with a hysteretic element.
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24

Nikitchenko, Maxim, and Alexei Koulakov. "Neural Integrator: A Sandpile Model." Neural Computation 20, no. 10 (October 2008): 2379–417. http://dx.doi.org/10.1162/neco.2008.12-06-416.

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We investigated a model for the neural integrator based on hysteretic units connected by positive feedback. Hysteresis is assumed to emerge from the intrinsic properties of the cells. We consider the recurrent networks containing either bistable or multistable neurons. We apply our analysis to the oculomotor velocity-to-position neural integrator that calculates eye positions using the inputs that carry information about eye angular velocity. By analyzing this system in the parameter space, we show the following. The direction of hysteresis in the neuronal response may be reversed for the system with recurrent connections compared to the case of unconnected neurons. Thus, for the NMDA receptor-based bistability, the firing rates after ON saccades may be higher than after OFF saccades for the same eye position. The reversal of hysteresis occurs in this model only when the size of hysteresis differs from neuron to neuron. We also relate the macroscopic leak time constant of the integrator to the rate of microscopic spontaneous noise-driven transitions in the hysteretic units. Finally, we investigate the conditions under which the hysteretic integrator may have no threshold for integration.
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Tao, Gaoliang, Ziyue Li, Lisheng Liu, Yangyang Chen, and Kai Gu. "Effects of Contact Angle on the Hysteresis Effect of Soil-Water Characteristic Curves during Dry-Wet Cycles." Advances in Civil Engineering 2021 (April 11, 2021): 1–11. http://dx.doi.org/10.1155/2021/6683859.

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The hysteresis characteristics of soil-water characteristic curves (SWCCs) under dry-wet cycling conditions are very important for understanding unsaturated soil properties, so it is crucial to propose an accurate and efficient method for predicting the hysteretic behaviors of SWCCs. To this end, this paper investigates the hysteresis characteristics of SWCCs in the full suction range of seven kinds of Hunan red clay with different initial dry densities by combination of the pressure plate method, the paper filter method, and the saturated salt solution method. It is found that there are, respectively, strong and weak hysteresis zones in the drying and wetting SWCCs under dry-wet cycling conditions. By combining this feature and based on the drying curve, the soil volume and contact angle changes during the drying and wetting processes are employed to predict the hysteretic behaviors of SWCCs. To verify the validity of the prediction method, the predicted curves of the samples with different initial dry densities are compared with the measured curves. The results show that in the strong hysteresis zone, the hysteresis characteristics of the drying and wetting SWCCs are mainly resulted from the changes in the soil pore structure; in the weak hysteresis zone, the hysteresis characteristics are mainly influenced by the changes in the receding and advancing contact angles corresponding to the drying and wetting processes. The Young–Laplace theory is used to transform the changes of contact angle during the drying and wetting processes into the proportional relationship k of matric suction, and the corresponding wetting curve is obtained by smoothing the drying curve. It is found that the prediction effect in the high suction part (the strong hysteresis zone) is better than that in the weak hysteresis zone, which confirms that the hysteresis effect of SWCCs in the high suction part is influenced by the contact angle. Our proposed method can greatly reduce the test period and has a significant practical application value, which provides a new idea for the prediction of SWCCs under dry-wet cycling conditions.
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Gołdasz, Janusz, Bogdan Sapinski, and Łukasz Jastrzębski. "Assessment of the Magnetic Hysteretic Behaviour of MR Dampers through Sensorless Measurements." Shock and Vibration 2018 (September 9, 2018): 1–21. http://dx.doi.org/10.1155/2018/3740208.

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Magnetorheological (MR) dampers are well-known devices based on smart fluids. The dampers exhibit nonlinear hysteretic behaviour which affects their performance in control systems. Hence, an effective control scheme must include a hysteresis compensator. The source of hysteresis in MR dampers is twofold. First, it is due to the compressibility and inertia of the fluid. Second, magnetic hysteresis is the inherent property of ferromagnetic materials that form the control circuit of the valve including MR fluid. While the former was studied extensively over the past years using various phenomenological models, the latter has attracted less attention. In this paper, we analyze the magnetic hysteretic behaviour of three different MR dampers by investigating their current-flux relationships. Two dampers operate in flow mode, whereas the third one is a shear-mode device (brake). The approach is demonstrated using a sensorless magnetic flux estimation technique. We reveal the response of the dampers when subjected to sinusoidal inputs across a wide range of operating conditions and excitation inputs. Our observations of the flux data showed that the hysteresis is influenced by both amplitude and the frequency of the excitation input. The procedure allows to analyze the magnetic hysteresis independently of other sources of hysteresis in MR dampers; on this basis, more effective damper models and control algorithms can be developed in the future.
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27

Belke, Ansgar. "Unemployment as a Target for Central Banks? The Case of Hysteresis." Credit and Capital Markets – Kredit und Kapital: Volume 51, Issue 4 51, no. 4 (December 1, 2018): 587–619. http://dx.doi.org/10.3790/ccm.51.4.587.

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Abstract One of the most interesting questions for policymakers which have emerged from the financial crisis deals with the strength of links between the demand and supply sides of the economy. The traditional view that only cyclical policies influence the former, and structural policies the latter has been challenged in two ways: by the observation that long periods of weak demand can lead to rising structural unemployment and a permanently lower capital stock – the hysteresis effects; and by the claim that stronger demand fueled by monetary policy might be able to reverse such effects. However, the Blanchard and Summers type of hysteresis approach should not be taken one-to-one into recommendations for monetary policy. Merely referring to the hard form of “reverse hysteresis” and pressing for bold counter-cyclical monetary (and fiscal) policies to cope with hysteretic unemployment is neither necessary nor sufficient. Instead, subtler forms of hysteresis should be taken into account. They leave some room for monetary policy to maneuver, more complex way. If long-term unemployment is stagnating. Over the whole circle, even a contractionary monetary policy stance can be considered as an option. Taking hysteries as a starting point, the paper discusses policy complementarities of different kinds and ideology-driven politicial unemployment cycles. It also discusses the “two-handed approach” relying both monetary policy and structural reforms. Zusammenfassung Eine der interessantesten Fragen, mit der sich Politiker seit der der Finanzkrise konfrontiert sehen, betrifft die Stärke des Zusammenhangs zwischen der Nachfrage- und der Angebotsseite der Wirtschaft. Die klassische Ansicht, dass nur zyklische Politiken die erstere und ausschließlich Strukturpolitiken die zweite beeinflussen, wurde auf zweifache Weise in Frage gestellt. Erstens führten lange Phasen schwacher Nachfrage zu steigender struktureller Arbeitslosigkeit und einem dauerhaft niedrigeren Kapitalstock – die sogenannten Hysterese-Effekte. Zweitens zeigte sich, dass eine stärkere Nachfrage, beispielsweise durch die Geldpolitik, zu einer Umkehr dieser Effekte beitrug. Der Hysterese-Ansatz nach Blanchard und Summers sollte jedoch nicht wörtlich genommen und eins zu eins in Empfehlungen für die Geldpolitik aufgehen. Lediglich auf die harte Form der “umgekehrten Hysterese” zu verweisen und mutige antizyklische monetäre (und fiskalische) Maßnahmen zur Bewältigung der Hysterese-Arbeitslosigkeit zu fordern, ist weder notwendig noch hinreichend. Stattdessen sollten subtilere Formen der Hysterese berücksichtigt werden. Sie lassen in der Tat Spielraum für die Geldpolitik, aber auf etwas komplexere Weise. Falls die Langzeitarbeitslosigkeit stagniert, wäre sogar ein kontraktiver geldpolitischer Kurs optimal. Ausgehend vom Hysterese-Phänomen werden in diesem Beitrag Politik-Komplementaritäten unterschiedlicher Art sowie ideologiegesteuerte politische Zyklen der Arbeitslosigkeit untersucht. Darüber hinaus wird der „two-handed approach” erörtert, der die Geldpolitik und Strukturreformen strategisch kombiniert. JEL Classification: E24, E42, E52
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28

Niu, Yibo, Xiaoyi Jin, Zhikun He, and Panpan Meng. "Research on the linear driving characteristics of endoscopic continuous robot." Journal of Physics: Conference Series 2704, no. 1 (February 1, 2024): 012027. http://dx.doi.org/10.1088/1742-6596/2704/1/012027.

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Abstract Due to the way line drive, the continuous endoscope robot will have a certain lag in the process of movement, which will affect the accuracy and flexibility of the operation. In addition, the hysteresis and return difference caused by wire rope transmission will also increase the hysteresis effect of continuous robots. In this paper, the motion characteristics of the continuous endoscopic robot are analyzed, the hysteresis of the robot is modeled theoretically based on the Preisach model, and the effectiveness of the model is verified. Preisach hysteretic nonlinear hyperbola model predicts the bending changes under different positive and negative drives. The experimental results show that the maximum error between the model and the theoretical prediction is 3.18 degrees. The hysteresis model can predict the hysteresis characteristics of the continuous endoscope robot well.
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Ghafarirad, H., SM Rezaei, M. Zareinejad, and NA Mardi. "Charge-based hysteresis compensation in low impedance piezoelectric actuators by a modified Prandtl–Ishlinskii model." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 233, no. 1 (November 24, 2017): 83–93. http://dx.doi.org/10.1177/0954408917743391.

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Piezoelectric actuators are one of the most popular actuators in micro- and nano-applications. The main deficiency of these actuators is the hysteretic behavior. Hysteresis not only can destroy the positioning accuracy, but also may lead to instability. In previous researches, hysteresis in the mechanical domain (voltage–position) has been modeled and compensated by several approaches. The limiting condition has been position measurement by a high cost, fine resolution sensor. So, an alternative idea can be compensation in the electrical domain (voltage–charge). In fact, it can be demonstrated that hysteresis compensation in the electrical domain can simultaneously compensate the mechanical one. But, experimental results depict that voltage–charge relation may be time dependent due to low internal impedances. It would lead to “time-dependent hysteresis”. As a result, conventional models cannot be applied for hysteresis identification. In this paper, a modified time-dependent Prandtl–Ishlinskii model is proposed to identify the time-dependent hysteresis in low impedance actuators. Utilizing the proposed model, experimental results validate that the mechanical hysteresis would be appropriately compensated as a result of compensation in the electrical domain.
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30

Bobenko, Nadezhda, Valeriy Egorushkin, and Alexander Ponomarev. "Hysteresis in Heat Capacity of MWCNTs Caused by Interface Behavior." Nanomaterials 12, no. 18 (September 10, 2022): 3139. http://dx.doi.org/10.3390/nano12183139.

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The paper is concerned with the study of structural disorder as well as the emergence and causes of heat capacity hysteresis in multiwall carbon nanotubes. The investigation methods are X-ray diffraction analysis, Raman spectroscopy, transmission electron microscopy, and calorimetric tests: thermogravimetric analysis, differential scanning calorimetry, and the thermal relaxation method for heat capacity hysteresis. Multiwall carbon nanotubes are shown to be composed of one or several types of zigzag–armchair domains. The domain structure of nanotube samples is responsible for the generation of uniaxial elastic microstrains and viscoelastic bending strains at domain interfaces. The thermomechanical behavior of interfaces is the chief cause of temperature hysteresis of heat capacity. The number of hystereses corresponds to the number of domain types in the structure, and values of hysteresis are determined by the crystallite size, thermal conductivity, and normal temperature distribution of strain. The found mechanism of heat capacity hysteresis can be helpful in preventing jumps in thermal properties and managing thermal memory in multiwall carbon nanotubes.
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31

Tan, Yonghong, Ruili Dong, Hui Chen, and Hong He. "Neural network based identification of hysteresis in human meridian systems." International Journal of Applied Mathematics and Computer Science 22, no. 3 (September 1, 2012): 685–94. http://dx.doi.org/10.2478/v10006-012-0051-4.

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Abstract Developing a model based digital human meridian system is one of the interesting ways of understanding and improving acupuncture treatment, safety analysis for acupuncture operation, doctor training, or treatment scheme evaluation. In accomplishing this task, how to construct a proper model to describe the behavior of human meridian systems is one of the very important issues. From experiments, it has been found that the hysteresis phenomenon occurs in the relations between stimulation input and the corresponding response of meridian systems. Therefore, the modeling of hysteresis in a human meridian system is an unavoidable task for the construction of model based digital human meridian systems. As hysteresis is a nonsmooth, nonlinear and dynamic system with a multi-valued mapping, the conventional identification method is difficult to be employed to model its behavior directly. In this paper, a neural network based identification method of hysteresis occurring in human meridian systems is presented. In this modeling scheme, an expanded input space is constructed to transform the multi-valued mapping of hysteresis into a one-to-one mapping. For this purpose, a modified hysteretic operator is proposed to handle the extremum-missing problem. Then, based on the constructed expanded input space with the modified hysteretic operator, the so-called Extreme Learning Machine (ELM) neural network is utilized to model hysteresis inherent in human meridian systems. As hysteresis in meridian system is a dynamic system, a dynamic ELMneural network is developed. In the proposed dynamic ELMneural network, the output state of each hidden neuron is fed back to its own input to describe the dynamic behavior of hysteresis. The training of the recurrent ELM neural network is based on the least-squares algorithm with QR decomposition.
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32

Bashir, Rashid, Jitendra Sharma, and Halina Stefaniak. "Effect of hysteresis of soil-water characteristic curves on infiltration under different climatic conditions." Canadian Geotechnical Journal 53, no. 2 (February 2016): 273–84. http://dx.doi.org/10.1139/cgj-2015-0004.

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This paper presents results of a numerical modelling exercise that investigates the effects of hysteresis of the soil-water characteristic curve (SWCC) on the infiltration characteristics of soils subjected to four different climatic conditions — from very dry to wet — within the Canadian province of Alberta. Multi-year climate datasets from four different natural regions and subregions of Alberta are compiled, classified, and applied as the soil–atmosphere boundary condition in one-dimensional finite element unsaturated flow models using Hydrus-1D software. Multi-year simulations are carried out with and without consideration of the SWCC hysteresis. Simulation results are analyzed in terms of water balance at the ground surface and temporal distribution and storage of water within the soil domain. It is demonstrated that hysteresis of the SWCC can significantly affect the prediction of flow, redistribution, and storage of water in the unsaturated zone. It is found that for soils that exhibit hysteretic SWCC, consideration of hysteresis in unsaturated flow modelling results in the prediction of lower infiltration and less movement of water through the soil. It is also found that the use of wetting parameters results in the prediction of increased infiltration and movement of water compared with the predictions using drying or hysteretic parameters. It is concluded that, for soils that exhibit a greater degree of SWCC hysteresis, it is important to measure both the drying and wetting branches of the SWCC accurately and that accurate simulation of hysteretic behaviour requires climate datasets at appropriate resolution. The results presented in this paper highlight the importance of considering SWCC hysteresis for a wide range of geotechnical problems, such as soil cover design, prediction of groundwater recharge, contaminant transport through unsaturated soils, soil erosion, slope stability, and swelling–shrinkage of expansive soils.
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Chen, Hui, Yong Hong Tan, Xing Peng Zhou, Ya Hong Zhang, and Rui Li Dong. "Modeling of Ultra-Precision Piezodriven Positioning System." Key Engineering Materials 562-565 (July 2013): 1504–9. http://dx.doi.org/10.4028/www.scientific.net/kem.562-565.1504.

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A neural network based approach for the identification of the rate-dependent hysteresis in the piezoelectric actuators is proposed in this article. In this method, a dynamic hysteresis operator for expanded input space is proposed to extract the change-tendency and rate-dependency of the dynamic hysteresis, the parameters of the hysteretic operator is identified using genetic algorithm. An expanded input space involving the original input variable and the new operator is constructed. Thus, based on the expanded input space, the neural networks can be utilized to approximate the behavior of the rate-dependent hysteresis. Furthermore, the dynamic performance of the model is improved because of the existence of dynamic operator. Finally, the method is used to the modeling of hysteresis in a piezoelectric actuator. The experimental results are presented to verify the effectiveness of the proposed approach.
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34

Jiang, Jing, Qing-Kai Han, Chao-Feng Li, Hong-Liang Yao, and Shu-Ying Liu. "Nonlinear Dynamics of a Vibratory Cone Crusher with Hysteretic Force and Clearances." Shock and Vibration 18, no. 1-2 (2011): 3–12. http://dx.doi.org/10.1155/2011/250161.

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Based on the analysis on crushing process and hysteresis of material layers, a hysteretic model with symmetrical clearances is presented. The mechanical model of two-degree of freedom with bilinear hysteresis and its dynamical equations of system are proposed. In order to further investigate the dynamic characteristics of the novel vibratory cone crusher, the system is also simplified into a dynamical system of single degree of freedom with a bilinear hysteretic component together with clearances. According to some nonlinear dynamic analysis tools such as bifurcation diagram, Lyapunov exponents, Poincare section, etc., different motion patterns of the system are discussed, including periodic, periodic doubling, chaos and other characteristics. These theoretical results will provide readers with deep understanding on the regular and complex dynamical behaviors of the vibratory cone crusher due to the hysteresis with clearances.
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Tan, Yonghong, Ruili Dong, Hui Chen, and Hong He. "Identification of Hysteresis in Human Meridian Systems Based on NARMAX Model." Journal of Applied Mathematics 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/451927.

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It has been found that the response of acupuncture point on the human meridian line exhibits nonlinear dynamic behavior when excitation of electroacupuncture is implemented on another meridian point. This nonlinear phenomenon is in fact a hysteretic phenomenon. In order to explore the characteristic of human meridian and finally find a way to improve the treatment of diseases via electro-acupuncture method, it is necessary to identify the model to describe the corresponding dynamic hysteretic phenomenon of human meridian systems stimulated by electric-acupuncture. In this paper, an identification method using nonlinear autoregressive and moving average model with exogenous input (NARMAX) is proposed to model the dynamic hysteresis in human meridian. As the hysteresis is a nonlinear system with multivalued mapping, the traditional NARMAX model is unavailable to it directly. Thus, an expanded input space is constructed to transform the multi-valued mapping of the hysteresis to a one-to-one mapping. Then, the identification method using NARMAX model on the constructed expanded input space is developed. Finally, the proposed method is applied to hysteresis modeling for human meridian systems.
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36

ITOH, MAKOTO, and LEON O. CHUA. "NONLINEAR OSCILLATORS WITH HYSTERETIC CHUA'S DIODES." International Journal of Bifurcation and Chaos 15, no. 05 (May 2005): 1709–35. http://dx.doi.org/10.1142/s0218127405012983.

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Chua's diode is widely used in nonlinear circuit analysis and modeling. In this paper, we propose canonical oscillator models having hysteretic Chua's diodes as their nonlinear elements. Many hysteresis oscillators can be classified into unified groups by using these models. We also present a method for deriving new hysteresis oscillators from known slow–fast (relaxation) oscillators.
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37

Folhento, Pedro, Manuel Braz-César, and Rui Barros. "Cyclic response of a reinforced concrete frame: Comparison of experimental results with different hysteretic models." AIMS Materials Science 8, no. 6 (2021): 917–31. http://dx.doi.org/10.3934/matersci.2021056.

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<abstract> <p>An accurate hysteresis model is fundamental to well capture the non-linearity phenomena occurring in structural and non-structural elements in building structures, that are usually made of reinforced concrete or steel materials. In this sense, this paper aims to numerically estimate through simplified non-linear analyses, the cyclic response of a reinforced concrete frame using different hysteretic models present in the literature. A commercial Finite Element Method package is used to carry out most of the simulations using polygonal hysteretic models and a fiber model, and additionally, a MATLAB script is developed to use a smooth hysteresis model. The experimental data is based on the experiments carried out in the Laboratório Nacional de Engenharia Civil, Portugal. The numerical outcomes are further compared with the experimental result to evaluate the accuracy of the simplified analysis based on the lumped plasticity or plastic hinge method for the reinforced concrete bare frame. Results show that the tetralinear Takeda's model fits closely the experimental hysteresis loops. The fiber model can well capture the hysteresis behavior, though it requires knowledge and expertise on parameter calibration. Sivaselvan and Reinhorn's smooth hysteresis model was able to satisfactorily reproduce the actual non-linear cyclic behavior of the RC frame structure in a global way.</p> </abstract>
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38

O’Kane, J. P., and D. Flynn. "Thresholds, switches and hysteresis in hydrology from the pedon to the catchment scale: a non-linear systems theory." Hydrology and Earth System Sciences 11, no. 1 (January 17, 2007): 443–59. http://dx.doi.org/10.5194/hess-11-443-2007.

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Abstract. Hysteresis is a rate-independent non-linearity that is expressed through thresholds, switches, and branches. Exceedance of a threshold, or the occurrence of a turning point in the input, switches the output onto a particular output branch. Rate-independent branching on a very large set of switches with non-local memory is the central concept in the new definition of hysteresis. Hysteretic loops are a special case. A self-consistent mathematical description of hydrological systems with hysteresis demands a new non-linear systems theory of adequate generality. The goal of this paper is to establish this and to show how this may be done. Two results are presented: a conceptual model for the hysteretic soil-moisture characteristic at the pedon scale and a hysteretic linear reservoir at the catchment scale. Both are based on the Preisach model. A result of particular significance is the demonstration that the independent domain model of the soil moisture characteristic due to Childs, Poulavassilis, Mualem and others, is equivalent to the Preisach hysteresis model of non-linear systems theory, a result reminiscent of the reduction of the theory of the unit hydrograph to linear systems theory in the 1950s. A significant reduction in the number of model parameters is also achieved. The new theory implies a change in modelling paradigm.
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39

Freydman A. L., Horoshiy I. N., and Kolkov M. I. "Ferroelectric hysteresis and magnetoelectric effect in orthorhombic Dy-=SUB=-1-x-=/SUB=-Ho-=SUB=-x-=/SUB=-MnO-=SUB=-3-=/SUB=- single crystals." Physics of the Solid State 64, no. 12 (2022): 1935. http://dx.doi.org/10.21883/pss.2022.12.54389.454.

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In Dy1-xHoxMnO3 single crystals with the orthorhombic space group Pbnm, ferroelectric hysteresis loops were measured for compositions with x=0 and 0.3. As the content of Ho3+ ions increases, the hysteresis loop narrows and for x=0.3 it no longer manifests itself. An analysis of the signal corresponding to the hysteretic behavior of a ferroelectric showed that even harmonics can be obtained only if the hysteresis loop is not symmetric about the abscissa axis. In view of the latter, the hypothesis that the second harmonic of the magnetoelectric effect is a consequence of the complex dependence of the polarization on time due to its hysteresis becomes doubtful. Measurements of the dependence of the inverse magnetoelectric effect on the amplitude of the applied electric field Delta M(E) showed that the first harmonic remains linear with respect to the electric field even in the electric field strength region where the domain structure of the ferroelectric is rearranged. Keywords: multiferroics, ferroelectricity, hysteresis.
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Li, Ai Guo, Jun Hai Zhao, and Er Gang Xiong. "Experimental Research on Size Effect of Magnetic Hysteresis Loop for Q235 Steel." Advanced Materials Research 690-693 (May 2013): 298–302. http://dx.doi.org/10.4028/www.scientific.net/amr.690-693.298.

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The magnetic hysteresis loop is a significant performance of ferromagnetic material. The different-size specimens were fabricated and studied on the basis of magnetomechanical coupling tests. The curve of relationship between model size and magnetization intensity is obtained and hysteretic curve is described in the different conditions. The results indicate that the influencing law is reflected based on size effect of model specimens and performance of magnetic hysteresis and magnetization intensity. The results indicate that the size of Q235 steel model specimens is considerably influential in the magnetic hysteresis loop and magnetization, which accounts for an evident size effect.
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41

Danilin, A. N., and A. D. Shalashilin. "Hysteresis Modelling of Mechanical Systems at Nonstationary Vibrations." Mathematical Problems in Engineering 2018 (2018): 1–15. http://dx.doi.org/10.1155/2018/7102796.

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This paper considers and reviews a number of known phenomenological models, used to describe hysteretic effects of various natures. Such models consider hysteresis system as a “black box” with experimentally known input and output, related via formal mathematical dependence to parameters obtained from the best fit to experimental data. In particular, we focus on the broadly used Bouc-Wen and similar phenomenological models. The current paper shows the conditions which the Bouc-Wen model must meet. An alternative mathematical model is suggested where the force and kinematic parameters are related by a first-order differential equation. In contrast to the Bouc-Wen model, the right hand side is a polynomial with two variables representing hysteresis trajectories in the process diagram. This approach ensures correct asymptotic approximation of the solution to the enclosing hysteresis cycle curves. The coefficients in the right side are also determined experimentally from the hysteresis cycle data during stable oscillations. The proposed approach allows us to describe hysteretic trajectory with an arbitrary starting point within the enclosed cycle using only one differential equation. The model is applied to the description of forced vibrations of a low-frequency pendulum damper.
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42

Zhao, Guifeng, Meng Zhang, Yaoliang Li, and Dawang Li. "The Hysteresis Performance and Restoring Force Model for Corroded Reinforced Concrete Frame Columns." Journal of Engineering 2016 (2016): 1–19. http://dx.doi.org/10.1155/2016/7615385.

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A numerical simulation of the hysteresis performance of corroded reinforced concrete (RC) frame columns was conducted. Moreover, the results obtained were compared with experimental data. On this basis, a degenerated three-linearity (D-TRI) restoring force model was established which could reflect the hysteresis performance of corroded RC frame columns through theoretical analysis and data fitting. Results indicated that the hysteretic bearing capacity of frame columns decreased significantly due to corrosion of the rebar. In view of the characteristics of the hysteresis curve, the plumpness of the hysteresis loop for frame columns decreased and shrinkage increased with increasing rebar corrosion. All these illustrated that the seismic energy dissipation performance of frame columns reduced but their brittleness increased. As for the features of the skeleton curve, the trends for corroded and noncorroded members were basically consistent and roughly corresponded to the features of a trilinear equivalent model. Thereby, the existing Clough hysteresis rule can be used to establish the restoring force model applicable to corroded RC frame columns based on that of the noncorroded RC members. The calculated skeleton curve and hysteresis curve of corroded RC frame columns using the D-TRI model are closer to the experimental results.
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43

Ferney, G. D., and S. L. Folkman. "Development of a Method for Characterizing Joint Stiffness, Deadband, and Hysteresis." Shock and Vibration 2, no. 4 (1995): 289–95. http://dx.doi.org/10.1155/1995/408520.

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This article documents the development of a procedure for characterizing the stiffness, deadband, and hysteretic behavior of struts with pinned joints. A test setup utilized procedures recommended by other authors. The test results included a calibration specimen with linear stiffness and near zero hysteretic behavior that identified the capabilities and limitations of the procedure. Tension/compression pull tests of the truss joints were conducted. The load vs. displacement curves showed stiffness, deadband, and hysteresis loops consistent with theory. Vibration damping was inferred from the hysteresis loops and compared with measured data from a three bay truss.
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44

König, Niklas, Yannik Carbon, Matthias Nienhaus, and Emanuele Grasso. "A Self-Sensing Method for Electromagnetic Actuators with Hysteresis Compensation." Energies 14, no. 20 (October 15, 2021): 6706. http://dx.doi.org/10.3390/en14206706.

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Self-sensing techniques are a commonly used approach for electromagnetic actuators since they allow the removal of position sensors. Thus, costs, space requirements, and system complexity of actuation systems can be reduced. A widely used parameter for self-sensing is the position-dependent incremental inductance. Nevertheless, this parameter is strongly affected by electromagnetic hysteresis, which reduces the performance of self-sensing. This work focuses on the design of a hysteresis-compensated self-sensing algorithm with low computational effort. In particular, the Integrator-Based Direct Inductance Measurement (IDIM) technique is used for the resource-efficient estimation of the incremental inductance. Since the incremental inductance exhibits a hysteresis with butterfly characteristics, it first needs to be transformed into a B-H curve-like hysteresis. Then, a modified Prandtl–Ishlinskii (MPI) approach is used for modeling this hysteretic behavior. By using a lumped magnetic circuit model, the hysteresis of the iron core can be separated from the air gap, thus allowing a hysteresis-compensated estimation of the position. Experimental studies performed on an industrial switching actuator show a significant decrease in the estimation error when the hysteresis model is considered. The chosen MPI model has a low model order and therefore allows a computationally lightweight implementation. Therefore, it is proven that the presented approach increases the accuracy of self-sensing on electromagnetic actuators with remarkable hysteresis while offering low computational effort which is an important aspect for the implementation of the technique in cost-critical applications.
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Qian, Fei, Zhen Wu Guo, Su An Xu, Gui Rong Wang, and Yun Tang Li. "Hysteresis Neural Network Modeling and Compensation of Piezoelectric Actuator." Applied Mechanics and Materials 635-637 (September 2014): 1426–30. http://dx.doi.org/10.4028/www.scientific.net/amm.635-637.1426.

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By studying on the nonlinear hysteresis characteristics of piezoelectric actuators,this paper proposes a neural network modeling method based on polynomial fitting algorithm and a compound control method for compensation of the hysteresis.Simulation shows that the fitting error of neural network model is 1.42%. According to the developed hysteretic model,PID and feed-forward control methods are applied to the system.The result is that the tracking relative error of control system is 1.59%,so the tracking precision of system is improved significantly.This indicates that the neural network model reflects the hysteresis characteristics of piezoelectric actuators accurately,and this control method is an effective compensation control for hysteresis in piezoelectric actuators.
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46

Garshelis, Ivan J., and Guillaume Crevecoeur. "A Simple Magnetostatic Sensing Method for Assessing the Local Hysteresis Properties in Ferromagnetic Sheet Materials." Journal of Sensors 2012 (2012): 1–7. http://dx.doi.org/10.1155/2012/870916.

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Global hysteretic properties of electrical steels can be measured using ring or strip samples, while the assessment of the local hysteretic properties is a much more difficult task since the measurement method needs to be very sensitive. This paper presents a new method wherein the intensity and spatial distribution of the magnetic field, arising from large gradients in the local magnetization, are measured. These large gradients are induced by the passage of a test sample through the steep gradient field of a small, proximate permanent magnet. Magnetic field measurements during both directions of motion provide information indicative of the hysteresis properties. We theoretically analyze these measurements and show experimentally that the measurements correlate well with all the significant aspects of conventional hysteresis loops. The results given in this paper are qualitative, and the method is both by its simplicity and its sensitivity to important hysteresis features a powerful means of magnetic nondestructive evaluation.
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Violano, Guido, and Luciano Afferrante. "Roughness-Induced Adhesive Hysteresis in Self-Affine Fractal Surfaces." Lubricants 9, no. 1 (January 7, 2021): 7. http://dx.doi.org/10.3390/lubricants9010007.

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It is known that in the presence of surface roughness, adhesion can lead to distinct paths of loading and unloading for the area–load and penetration–load relationships, thus causing hysteretic loss. Here, we investigate the effects that the surface roughness parameters have on such adhesive hysteresis loss. We focus on the frictionless normal contact between soft elastic bodies and, for this reason, we model adhesion according to Johnson, Kendall, and Roberts (JKR) theory. Hysteretic energy loss is found to increase linearly with the true area of contact, while the detachment force is negligibly influenced by the maximum applied load reached at the end of the loading phase. Moreover, for the micrometric roughness amplitude hrms considered in the present work, adhesion hysteresis is found to be affected by the shorter wavelengths of roughness. Specifically, hysteresis losses decrease with increasing fractal dimension and cut-off frequency of the roughness spectrum. However, we stress that a different behavior could occur in other ranges of roughness amplitude.
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48

Zhang, Ge, Baitao Sun, and Wen Bai. "Hysteretic Model for RC Columns Based on Effective Hysteretic Energy Dissipation with Positive and Negative Directions." Buildings 13, no. 5 (April 25, 2023): 1140. http://dx.doi.org/10.3390/buildings13051140.

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Accurately simulating the nonlinear response of reinforced concrete (RC) columns under cyclic loading is crucial in performance-based seismic design for building structures, especially regarding strength degradation. This paper presents the description, calibration and simulation of the hysteretic model for RC columns based on effective hysteretic energy dissipation with positive and negative directions. During the analysis of previous experimental data, the relationship between hysteresis energy dissipation, maximum displacement, and the effects of positive and negative loading directions on strength degradation has been summarized. The proposed method for determining the yield strength of the hysteresis loop is based on the farthest point method. Calibration of the hysteretic models’ existing RC columns’ experimental data demonstrates that the proposed model can simulate the main characteristics that influence deterioration.
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49

Wang, En Rong, Xiao Qing Ma, S. Rakhela, and C. Y. Su. "Modelling the hysteretic characteristics of a magnetorheological fluid damper." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 217, no. 7 (July 1, 2003): 537–50. http://dx.doi.org/10.1243/095440703322114924.

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A generalized model is proposed to characterize the biviscous hysteretic force characteristics of a magnetorheological (MR) fluid damper using symmetric and asymmetric sigmoid functions on the basis of a fundamental force generation mechanism, observed qualitative trends and measured data under a wide range of control and excitation conditions. Extensive laboratory measurements were performed to characterize the hysteretic force properties of an MR damper under a wide range of magnitudes of control current and excitation conditions (frequency and stroke). The global model is realized upon formulation and integration of component functions describing the preyield hysteresis, saturated hysteresis loop, linear rise and current-induced rise. The validity of the proposed model is demonstrated by comparing the simulation results with measured data in terms of hysteretic forcedisplacement and force-velocity characteristics under a wide range of test conditions. The results revealed reasonably good agreement between the measured data and model results, irrespective of the test conditions considered. The results of the study suggest that the proposed model could be effectively applied for characterizing the damper hysteresis and for development of an optimal controller for implementation in vehicular suspension applications.
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50

Richards, Timothy J., and Gareth P. Green. "Economic Hysteresis in Variety Selection." Journal of Agricultural and Applied Economics 35, no. 1 (April 2003): 1–14. http://dx.doi.org/10.1017/s1074070800005897.

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Investing in a new perennial crop variety involves an irreversible commitment of capital and generates an uncertain return stream. As a result, the decision to adopt a new variety includes a significant real option value. Waiting for returns to rise above this real option causes a delay in adoption because of economic hysteresis. This study tests for hysteresis in the adoption of wine grape varieties using a sample of district-level data from the state of California. The empirical results show a significant hysteretic effect in wine grape investment, which might be reduced by activities that smooth earnings over time.
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