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Journal articles on the topic 'Modele hysteresis'

Author: Grafiati

Published: 2 November 2024

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1

Meleshenko, Peter A., Akim V. Tolkachev, Mikhail E. Semenov, Alla V. Perova, Andrey I. Barsukov, and Alexander F. Klinskikh. "Discrete hysteretic sine-Gordon model: soliton versus hysteresis." MATEC Web of Conferences 241 (2018): 01027. http://dx.doi.org/10.1051/matecconf/201824101027.

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In this work we consider a nonlinear dynamical system which is a set of nonlinear oscillators coupled by springs with hysteretic blocks (hysteretic sine-Gordon model). The hysteretic nonlinearity is modeled using the phenomenological Bouc-Wen model). The wave processes (solitonic solutions) in such a system are investigated taking into account the hysteretic nature of the coupling.

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2

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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3

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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4

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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5

Meng, Ai Hua, Han Lin He, Min Kong, and Ming Fan Li. "The Hysteresis Model of Terfenol-D with Magneto-Stress Coupling." Applied Mechanics and Materials 121-126 (October 2011): 4820–25. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.4820.

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The output of Terfenol-D is nonlinear and hysteretic under the effect of magnetic field and prestress. The nonlinear constitutive relation between magnetostriction and magnetization with magneto-stress coupling was built in consideration of the magnetostriction saturation and the prestress correlation. Then, the hysteresis behavior of Terfenol-D was modeled based on the Jiles-Atherton model. The error of magnetostriction between simulations and experimental data is less than 6%. This result indicates that the model can adequately predict the nonlinear hysteresis and magneto-stress coupling character of Terfenol-D.

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6

Wang, Lin Xiang, Rong Liu, and Roderick Melnik. "Feedback Linearization of Hysteretic Thermoelastic Dynamics of Shape Memory Alloy Actuators with Phase Transformations." Advanced Materials Research 47-50 (June 2008): 69–72. http://dx.doi.org/10.4028/www.scientific.net/amr.47-50.69.

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In the current paper, a macroscopic differential model for the hysteretic dynamics in shape memory alloy actuators is constructed by using the modified Landau theory of the first order phase transformation. An intrinsic thermo-mechanical coupling is achieved by constructing the free energy as a function depends on both mechanical deformation and the material temperature. Both shape memory and pseudoelastic effects are modeled. The hysteretic dynamics is linearized by introducing another hysteresis loop via nonlinear feedback strategy, which cancels the original one.

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7

Du, Xiu Quan, Lin Xiang Wang, Zhi Feng Tang, and Fu Zai Lv. "Modeling the Rate Dependent Hysteretic Dynamics of Magnetostrictive Transducers." Applied Mechanics and Materials 529 (June 2014): 312–16. http://dx.doi.org/10.4028/www.scientific.net/amm.529.312.

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In the current paper, the rate dependent hysteretic dynamics of a magnetostrictive transducer is investigated by using a coupled nonlinear macroscopic differential model. The transducer is modeled as a one-dimensional magnetostrictive structure based on the Landau phenomenological theory of phase transition. The hysteresis loops and butterfly-shaped behaviors in the magnetic and mechanical fields are both successfully modeled with estimated model parameter values. The capability of the proposed model for capturing the driving rate dependency is illustrated by numerical experiments.

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8

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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9

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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10

Biolek, Zdeněk, Dalibor Biolek, Viera Biolková, and Zdeněk Kolka. "Extended Higher-Order Elements with Frequency-Doubled Parameters: The Hysteresis Loops Are Always of Type II." Sensors 23, no. 16 (August 15, 2023): 7179. http://dx.doi.org/10.3390/s23167179.

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Current MEMS (Micro Electro Mechanical Systems) can be modeled by state-dependent elements that exhibit hysteretic behavior. Examples include capacitors and inductors whose capacitances and inductances are dependent on the instantaneous state of the electromechanical system, resistors whose resistances exhibit temperature changes when the elements are actually heated, etc. Regardless of the physical background, such hysteresis manifestations can be studied uniformly in the broader framework of generic and extended higher-order elements, in which a classification of hysteretic loops into types I and II is established. The loop type is an important dynamical parameter of an element, having the potential to indicate, for example, its (in)volatility. Thus far, there is no reliable criterion to determine the type of steady loop from the defining relations of an element. This work reports on one special class of extended elements that produces type II loops under all circumstances. The paper presents hitherto unpublished connections between the frequency-doubling parameters of an element and the type of its hysteresis loop. The new findings are expressed by several theorems that allow the type of hysteresis to be inferred from the frequency behavior of the element parameter or state, and vice versa. These procedures are demonstrated with examples and verified by computer simulations.

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11

Nicoletti, Rodrigo, and Robert Liebich. "Analysis of long wind turbine blades with shape memory alloy wires in super-elastic phase." Journal of Intelligent Material Systems and Structures 29, no. 15 (July 5, 2018): 3108–23. http://dx.doi.org/10.1177/1045389x18783078.

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In this work, shape memory alloy wires are modeled and included in the model of a wind turbine blade, in order to numerically study their effect on blade vibrations under operating conditions. The blade is modeled using finite elements considering flapwise, edgewise, and torsional motion subjected to the effects of rotation and to a normal wind profile. The shape memory alloy wires are modeled in the super-elastic phase, thus presenting a hysteresis loop as a function of strain and ambient temperature. Such a hysteretic behavior of the shape memory alloy material adds damping to the structure that it is attached to. The numerical results show that inserting shape memory alloy wires in the wind turbine blade presents drawbacks, because the excitation level of the normal wind profile is not big enough for the blade to present significant strain. Hence, the hysteresis loops in the shape memory alloy material mounted on the blade have small areas which, consequently, reduce the amount of damping added to the blade. Besides, the added damping is restricted to the upper 30% of the blade (area of higher strain in the blade).

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12

Neshat, Sajjad S., and Gary A. Pope. "Three-Phase Relative Permeability and Capillary Pressure Models With Hysteresis and Compositional Consistency." SPE Journal 23, no. 06 (September 10, 2018): 2394–408. http://dx.doi.org/10.2118/191384-pa.

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Summary New coupled three-phase hysteretic relative permeability and capillary pressure models have been developed and tested for use in compositional reservoir simulators. The new formulation incorporates hysteresis and compositional consistency for both capillary pressure and relative permeability. This approach is completely unaffected by phase flipping and misidentification, which commonly occur in compositional simulations. Instead of using phase labels (gas/oil/solvent/aqueous) to define hysteretic relative permeability and capillary pressure parameters, the parameters are continuously interpolated between reference values using the Gibbs free energy (GFE) of each phase at each timestep. Models that are independent of phase labels have many advantages in terms of both numerical stability and physical consistency. The models integrate and unify relevant physical parameters, including hysteresis and trapping number, into one rigorous algorithm with a minimum number of parameters for application in numerical reservoir simulators. The robustness of the new models is demonstrated with simulations of the miscible water-alternating-gas (WAG) process and solvent stimulation to remove condensate and/or water blocks in both conventional and unconventional formations.

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13

Fovet, O., L. Ruiz, M. Hrachowitz, M. Faucheux, and C. Gascuel-Odoux. "Hydrological hysteresis and its value for assessing process consistency in catchment conceptual models." Hydrology and Earth System Sciences 19, no. 1 (January 7, 2015): 105–23. http://dx.doi.org/10.5194/hess-19-105-2015.

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Abstract. While most hydrological models reproduce the general flow dynamics, they frequently fail to adequately mimic system-internal processes. In particular, the relationship between storage and discharge, which often follows annual hysteretic patterns in shallow hard-rock aquifers, is rarely considered in modelling studies. One main reason is that catchment storage is difficult to measure, and another one is that objective functions are usually based on individual variables time series (e.g. the discharge). This reduces the ability of classical procedures to assess the relevance of the conceptual hypotheses associated with models. We analysed the annual hysteric patterns observed between stream flow and water storage both in the saturated and unsaturated zones of the hillslope and the riparian zone of a headwater catchment in French Brittany (Environmental Research Observatory ERO AgrHys (ORE AgrHys)). The saturated-zone storage was estimated using distributed shallow groundwater levels and the unsaturated-zone storage using several moisture profiles. All hysteretic loops were characterized by a hysteresis index. Four conceptual models, previously calibrated and evaluated for the same catchment, were assessed with respect to their ability to reproduce the hysteretic patterns. The observed relationship between stream flow and saturated, and unsaturated storages led us to identify four hydrological periods and emphasized a clearly distinct behaviour between riparian and hillslope groundwaters. Although all the tested models were able to produce an annual hysteresis loop between discharge and both saturated and unsaturated storage, the integration of a riparian component led to overall improved hysteretic signatures, even if some misrepresentation remained. Such a system-like approach is likely to improve model selection.

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14

Sumarac, Dragoslav, Bojan Medjo, and Natasa Trisovic. "Hysteretic behavior modeling of elastoplastic materials." Theoretical and Applied Mechanics 35, no. 1-3 (2008): 287–304. http://dx.doi.org/10.2298/tam0803287s.

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In the present paper the Preisach model of hysteresis is applied to model cyclic behavior of elasto-plastic material. Rate of loading and viscous effects will not be considered. The problem of axial loading of rectangular cross section and cyclic bending of rectangular tube (box) will be studied in details. Hysteretic stress-strain loop for prescribed history of stress change is plotted for material modeled by series connection of three unite element. Also moment-curvature hysteretic loop is obtained for a prescribed curvature change of rectangular tube (box). One chapter of the paper is devoted to results obtained by FEM using Finite Element Code ABAQUS. All obtained results clearly show advantages of the Preisach model for describing cyclic behavior of elasto-plastic material.

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15

Fovet, O., L. Ruiz, M. Hrachowitz, M. Faucheux, and C. Gascuel-Odoux. "Hydrological hysteresis in catchments and its value for assessing process consistency in conceptual models." Hydrology and Earth System Sciences Discussions 11, no. 5 (May 28, 2014): 5663–707. http://dx.doi.org/10.5194/hessd-11-5663-2014.

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Abstract. While most hydrological models reproduce the general flow dynamics, they frequently fail to adequately mimic system internal processes. In particular, the relationship between storage and discharge, which often follows annual hysteretic patterns in shallow hard-rock aquifers, is rarely considered in modelling studies. One main reason is that catchment storage is difficult to measure and another one is that objective functions are usually based on individual variables time series (e.g. the discharge). This reduces the ability of classical procedures to assess the relevance of the conceptual hypotheses associated with models. We analyzed the annual hysteric patterns observed between stream flow and water storage both in the saturated and unsaturated zones of the hillslope and the riparian zone of a headwater catchment in French Brittany (ORE AgrHys). The saturated zone storage was estimated using distributed shallow groundwater levels and the unsaturated zone storage using several moisture profiles. All hysteretic loops were characterized by a hysteresis index. Four conceptual models, previously calibrated and evaluated for the same catchment, were assessed with respect to their ability to reproduce the hysteretic patterns. The observed relationship between stream flow, saturated, and unsaturated storages led to identify four hydrological periods and emphasized a clearly distinct behaviour between riparian and hillslope groundwaters. Although all the tested models were able to produce an annual hysteresis loop between discharge and both saturated and unsaturated storage, integration of a riparian component led to overall improved hysteretic signatures, even if some misrepresentation remained. Such systems-like approach is likely to improve model selection.

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16

Hassani, Vahid, Tegoeh Tjahjowidodo, and Albert D. Soetarto. "Modeling Hysteresis with Inertial-Dependent Prandtl-Ishlinskii Model in Wide-Band Frequency-Operated Piezoelectric Actuator." Smart Materials Research 2012 (January 24, 2012): 1–15. http://dx.doi.org/10.1155/2012/164062.

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One of the major problems occurring in many technical applications is the presence of the hysteretic behavior in sensors and actuators, which causes a nonlinear relationship between input and output variables in such devices. Since the nonlinear phenomenon of hysteresis degrades the performance of the piezoelectric materials and piezoelectric drive mechanisms, for example, in positioning control framework, it has to be characterized in order to mitigate the effect of the nonlinearity in the devices. This paper is aimed to characterize and model the hysteresis in typical piezoelectric actuators under load-free and preloaded circumstances incorporating the inertial effect of the system. For this purpose, the piezoelectric actuator is modeled as a mass-spring-damper system, which is expressed in terms of a stop operator as one of the essential yet efficient hysteresis operators in the Prandtl-Ishlinskii (PI) model. The reason of utilizing the stop operator in this study is for the sake of control purposes, as the stop operator plays as the inverse of the play operator in the PI model and can be used in a feed-forward controller scheme to suppress the effect of hysteresis in general control framework. The results reveal that this model exhibits better correspondence to the measurement output compared to that of the classical PI model.

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17

Dimian, M., P. Andrei, and M. Grayson. "Hybrid models of hysteresis for mixed hysteretic loops in heterogeneous magnetic materials." Journal of Applied Physics 115, no. 17 (May 7, 2014): 17D103. http://dx.doi.org/10.1063/1.4853295.

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18

Awrejcewicz, Jan, and Larisa Dzyubak. "Hysteresis modelling and chaos prediction in one- and two-DOF hysteretic models." Archive of Applied Mechanics 77, no. 5 (December 19, 2006): 261–79. http://dx.doi.org/10.1007/s00419-006-0101-1.

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19

Marszalek, Wieslaw. "Self-Crossing Memristive Pinched Hystereses in Autonomous Implicit Models." Journal of Circuits, Systems and Computers 28, no. 08 (July 2019): 1950139. http://dx.doi.org/10.1142/s0218126619501391.

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This paper shows that autonomous implicit ODEs (based on planar lemniscates) are interesting models, yielding pinched self-crossing hystereses that are intrinsic features of all memristive elements in nanoscale electronics. Each model has a folded saddle that allows for an oscillating trajectory to traverse different sides of singularity. The models considered in this paper are autonomous and therefore different from typical input–state–output models considered thus far. The models preserve the usual properties of memristive elements. For example, the area enclosed by the pinched hystereses decreases with the increased frequency of oscillations. The same-time instant zero-crossing property is also satisfied provided that certain conditions are met. Another novel aspect of this paper is the fact that the autonomous models are based on various planar lemniscates (of Gerono, Devil and Bernoulli) which can be nonlinearly transformed to model pinched hystereses of various shapes. The proposed models are differentiable and the use of the sign and absolute value terms, typical in modeling of memristive elements, is avoided. Several simulation results are included and two simple analog circuits having the pinched hysteretic characteristics of mem-inductors and mem-capacitors are proposed.

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Pham, Hung Q., Delwyn G. Fredlund, and S. Lee Barbour. "A study of hysteresis models for soil-water characteristic curves." Canadian Geotechnical Journal 42, no. 6 (December 1, 2005): 1548–68. http://dx.doi.org/10.1139/t05-071.

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A review of hysteresis models for soil-water characteristic curves is presented. The models can be categorized into two groups: (i) domain models (or physically based models) and (ii) empirical models. Some models are capable of predicting scanning curves, while other models are capable of predicting the boundary wetting curve and the boundary drying curve. A comparison of the ability of five selected models to predict the boundary wetting curve showed that the Feng and Fredlund model with enhancements by Pham, Fredlund, and Barbour appears to be the most appropriate model for engineering practice. Another comparison among five physically based models for predicting scanning curves showed that the Mualem model-II gives the best overall prediction of scanning curves. The study showed that taking the effect of pore blockage into account does not always give a better prediction of hysteretic soil-water characteristic curves. A scaling method for estimating the initial drying curve, the boundary wetting curve, and the boundary drying curve is also presented in the paper.Key words: soil-water characteristic curve, hysteresis model, comparison, boundary curve, scanning curve, unsaturated soils.

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21

I.M., Bedritsky, Bazarov L.Kh., Zhuraeva K.K., and Mirasadov M.Zh. "COMPARISON OF MODELS OF MAGNETIZATION CURVES AND HYSTERESIS LOOPS ACCORDING TO THE GILES-ATHERTON MODEL FOR SOFT MAGNETIC AMORPHOUS ALLOYS." International Journal of Advance Scientific Research 03, no. 02 (February 1, 2023): 38–52. http://dx.doi.org/10.37547/ijasr-03-02-06.

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The subject of research in the article is ferromagnetic soft magnetic amorphous materials and alloys, which are used in power sources of automated control systems, and in vehicle electrical installations. The aim of the work is an objective comparison of two magnetization models for soft magnetic amorphous alloys - the main magnetization curve using approximation functions and the Giles-Atherton hysteresis loop model. In the study, the least squares method was used to optimize the main magnetization curve and the Giles-Atherton hysteresis loop optimization method with the aim of its maximum coincidence with the experimentally obtained loop. Experimental and reference data for common types of magnetically soft amorphous alloys were used for modeling. As a criterion of model accuracy for both modeling methods, the relative error in determining the magnetic induction value was chosen, and the experimental value obtained from the real hysteresis loop of a magnetically soft amorphous alloy was taken as its exact value, and the approximate value was taken from calculations of the magnetic induction value using the methods of approximating the magnetization curve and simulation of the hysteresis loop using the Giles-Atherton method. As a result of the research, it was revealed that both models of magnetization of magnetically soft amorphous materials give simulation results similar in accuracy. The obtained results of the study can be used to select an appropriate magnetization model for the mathematical description of ferromagnetic devices using magnetically soft amorphous metals and alloys. The final conclusion about the advantages of a particular model can only be made on the basis of the ultimate goals of the analysis.

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22

Krejčí, Pavel. "Vector hysteresis models." European Journal of Applied Mathematics 2, no. 3 (September 1991): 281–92. http://dx.doi.org/10.1017/s0956792500000541.

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Following Krasnoselskii & Pokrovskii (1983) we express the constitutive law for the Prandtl–Reuss elastoplastic model in terms of a hysteresis operator, and introduce the vector Ishlinskii model. We investigate some properties (continuity, energy inequalities, dependence on spatial variables) of these operators.

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23

Visintin, Augusto. "Models of hysteresis." Rendiconti del Seminario Matematico e Fisico di Milano 58, no. 1 (December 1988): 221–38. http://dx.doi.org/10.1007/bf02925243.

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Carboni, Biagio, Walter Lacarbonara, Patrick T. Brewick, and Sami F. Masri. "Dynamical response identification of a class of nonlinear hysteretic systems." Journal of Intelligent Material Systems and Structures 29, no. 13 (June 7, 2018): 2795–810. http://dx.doi.org/10.1177/1045389x18778792.

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The experimental dynamical response of three types of nonlinear hysteretic systems is identified employing phenomenological models togheter with the Differential Evolutionary algorithm. The mass–spring–damper system is characterized by hysteretic restoring forces provided by assemblies of shape memory and steel wire ropes subject to flexure or coupled states of tension and flexure. The energy dissipation due to phase transformations and inter-wire friction and the stretching-induced geometric nonlinearities give rise to different shapes of hysteresis cycles. The mechanical device subject to strong seismic excitations is investigated in its ultimate limit state whereby inelastic strains are induced in the steel wires together with a global nonsymmetric response of the system. The targeted dynamical characterization of the hysteretic oscillator up to its ultimate limit state has a special meaning when the device is employed in the field of vibration control. The dynamical response is identified exploiting the measurements of the oscillating mass relative displacement and inertia force that must be balanced, at each time instant, by the overall restoring forces provided by the mechanism. The restoring force is assumed to be the sum of different contributions such as a cubic nonsymmetric elastic force and a nonsymmetric hysteretic force modeled according to a modified version of the Bouc–Wen model. The parameters are identified minimizing the difference between the numerical and the experimental restoring force histories. High levels of accuracy are achieved in the identification with mean square errors lower than 2%.

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Krikelis, Konstantinos, Jin-Song Pei, Koos van Berkel, and Maarten Schoukens. "Identification of structured nonlinear state–space models for hysteretic systems using neural network hysteresis operators." Measurement 224 (January 2024): 113966. http://dx.doi.org/10.1016/j.measurement.2023.113966.

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26

Mayergoyz, I. "Mathematical models of hysteresis." IEEE Transactions on Magnetics 22, no. 5 (September 1986): 603–8. http://dx.doi.org/10.1109/tmag.1986.1064347.

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Mayergoyz, I. D. "Mathematical Models of Hysteresis." Physical Review Letters 56, no. 15 (April 14, 1986): 1518–21. http://dx.doi.org/10.1103/physrevlett.56.1518.

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28

Kopfová, J. "Hysteresis in biological models." Journal of Physics: Conference Series 55 (December 1, 2006): 130–34. http://dx.doi.org/10.1088/1742-6596/55/1/012.

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Macki, Jack W., Paolo Nistri, and Pietro Zecca. "Mathematical Models for Hysteresis." SIAM Review 35, no. 1 (March 1993): 94–123. http://dx.doi.org/10.1137/1035005.

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Wang, Lin Xiang, Ying Chen, and Wen Li Zhao. "Macroscopic Differential Model for Hysteresis and Butterfly-Shaped Behavior in Ferroelectric Materials." Advanced Materials Research 47-50 (June 2008): 65–68. http://dx.doi.org/10.4028/www.scientific.net/amr.47-50.65.

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In the current paper, a macroscopic differential model is constructed on the basis of the Landau theory of the first order phase transformation. Hysteresis loops and butterfly-shaped behaviors are modeled as a consequence of polarizations and orientation switchings. A non-convex free energy function is constructed to characterize different polarization orientations in the materials. Polarizations and orientation switchings are modeled by formulating the system state switching from one equilibrium state to another, as differential equations. The hysteresis loops and butterfly-shaped behaviors are successfully modeled. Comparison of the model results with the experimental counterpart is also presented.

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RAI, RENUKA, and HARJINDER SINGH. "HYSTERESIS STUDIES IN MAPS." Modern Physics Letters B 13, no. 06n07 (March 20, 1999): 181–92. http://dx.doi.org/10.1142/s0217984999000257.

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We define magnetization for a 1D bistable map driven by periodic and random forces. Numerical simulations are carried out to investigate the effect of drive amplitude and frequency and noise strength on the area of the hysteresis loop. We observe that for a given amplitude, the profile of the frequency plotted against the corresponding optimal noise for maximum synchronization, D max , can be modeled as an Arrhenius like behaviour.

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Song, Min-Ho, Hee-Sung Yoon, and Chang-Seop Koh. "Improved E&S Vector Hysteresis Model for the Precise Modeling of Vector Magnetic Properties of Electrical Steel Sheet." Transactions of The Korean Institute of Electrical Engineers 60, no. 9 (September 1, 2011): 1684–92. http://dx.doi.org/10.5370/kiee.2011.60.9.1684.

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Petrun, Martin, Simon Steentjes, Kay Hameyer, and Drago Dolinar. "Comparison of static hysteresis models subject to arbitrary magnetization waveforms." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 36, no. 3 (May 2, 2017): 774–90. http://dx.doi.org/10.1108/compel-09-2016-0424.

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Purpose This paper aims to compare different static history-independent hysteresis models (mathematical-, behavioural- and physical-based ones) and a history-dependent hysteresis model in terms of parameter identification effort and accuracy. Design/methodology/approach The discussed models were tested for distorted-excitation waveforms to explore their predictions of complex magnetization curves. Static hysteresis models were evaluated by comparing the calculated and measured major and minor static hysteresis loops. Findings The analysis shows that the resulting accuracy of the different hysteresis models is strongly dependent on the excitation waveform, i.e. smooth excitations, distorted flux waveforms, transients or steady-state regimes. Obtained results show significant differences between predictions of discussed static hysteresis models. Research limitations/implications The general aim was to identify the models on a very basic and limited set of measured data, i.e. if possible using only the measured major static loop of the material. The quasi-static major hysteresis loop was measured at Bmax = 1.5 T. Practical/implications The presented analysis allows selection of the most-suited hysteresis model for the sought-for application and appraisal of the individual limitations. Originality/value The presented analysis shows differences in intrinsic mechanisms to predict magnetization curves of the majority of the well-known static hysteresis models. The results are essential when selecting the most-suited hysteresis model for a specific application.

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Çam, Necda, and Ümit Akıncı. "Effect of the dipolar interaction on the dynamic hysteresis properties of 2D-nanodisks: out of plane driving field case." Physica Scripta 98, no. 12 (November 29, 2023): 125976. http://dx.doi.org/10.1088/1402-4896/ad0d98.

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Abstract We have systematically investigated the effect of dipolar interaction strength on the dynamical hysteresis behavior of the in-plane uniaxial anisotropic nanodisk system modeled by the classical Heisenberg model under the effect of the time-dependent external out-of-plane periodic magnetic field. Dynamical hysteresis loops, as well as hysteresis quantities (hysteresis loop area, coercive field, remanent magnetization), have been examined both in-plane and out-of-plane magnetization components by means of Monte Carlo simulation based on Metropolis Algorithm. Our simulation results suggest that the response of the in-plane and out-of-plane components of the magnetization have different hysteresis characteristics. For instance, while the out-of-plane component of the magnetization has ordinary dynamically disordered hysteresis curves, bowtie-shaped hysteresis loops have been obtained for the in-plane component of the magnetization. Disappeared dynamical order has been observed with the rising strength of the dipolar interaction.

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Rubežić, Vesna, Luka Lazović, and Ana Jovanović. "Parameter identification of Jiles–Atherton model using the chaotic optimization method." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 6 (November 5, 2018): 2067–80. http://dx.doi.org/10.1108/compel-11-2017-0496.

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Purpose The purpose of this paper is to propose a chaotic optimization method for identifying the parameters of the Jiles–Atherton (J-A) hysteresis model. Design/methodology/approach The J-A model has five parameters which are assigned with physical meaning and whose determination is demanding. To determine these parameters, the fitness function, which represents the difference between the measured and the modeled hysteresis loop, is formed. Optimal parameter values are the values that minimize the fitness function. Findings The parameters of J-A model for three magnetic materials are determined. The model with the optimal parameters is validated using measured data and comparison with particle swarm optimization algorithm, genetic algorithm, pattern search and simulated annealing algorithm. The results show that the proposed method provides better agreement between measured and modeled hysteresis loop than other methods used for comparison. The proposed method is also suitable for simultaneous optimization of multiple hysteresis loops. Originality/value Chaotic optimization method is implemented for the first time for J-A model parameter identification. Numerical comparisons with results obtained with other optimization algorithms demonstrate that this method is a suitable alternative in parameters identification of J-A hysteresis model. Furthermore, this method is easy to implement and set up.

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Al Janaideh, Mohammad, and Pavel Krejčí. "Prandtl–Ishlinskii hysteresis models for complex time dependent hysteresis nonlinearities." Physica B: Condensed Matter 407, no. 9 (May 2012): 1365–67. http://dx.doi.org/10.1016/j.physb.2011.09.041.

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Mayergoyz, I. D. "Dynamic Preisach models of hysteresis." IEEE Transactions on Magnetics 24, no. 6 (1988): 2925–27. http://dx.doi.org/10.1109/20.92290.

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Della Torre, E. "Energy considerations in hysteresis models." IEEE Transactions on Magnetics 28, no. 5 (September 1992): 2608–10. http://dx.doi.org/10.1109/20.179572.

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Shtern, Vladimir. "Models of fold-related hysteresis." Physics of Fluids 30, no. 5 (May 2018): 054101. http://dx.doi.org/10.1063/1.5024930.

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Włodarski, Zdzisław, Jadwiga Włodarska, and Andrzej Brykalski. "Experimental verification of hysteresis models." Physica B: Condensed Matter 372, no. 1-2 (February 2006): 160–63. http://dx.doi.org/10.1016/j.physb.2005.10.039.

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Stancu, Alexandru, Cristian Pǎpuşoi, and Leonard Spînu. "Mixed-type models of hysteresis." Journal of Magnetism and Magnetic Materials 150, no. 1 (September 1995): 124–30. http://dx.doi.org/10.1016/0304-8853(95)00110-7.

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Mayergoyz, I. D. "Vector Preisach hysteresis models (invited)." Journal of Applied Physics 63, no. 8 (April 15, 1988): 2995–3000. http://dx.doi.org/10.1063/1.340926.

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Krejčı́, Pavel, and Jürgen Sprekels. "Phase-Field Models with Hysteresis." Journal of Mathematical Analysis and Applications 252, no. 1 (December 2000): 198–219. http://dx.doi.org/10.1006/jmaa.2000.6974.

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Yu, Jianqiang, Xiaomin Dong, Shuaishuai Sun, and Weihua Li. "Comparison of dynamic models based on backbone curve for rotary magneto-rheological damper." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 14 (June 11, 2019): 2732–40. http://dx.doi.org/10.1177/0954406219856392.

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To realize the accurate control of magneto-rheological system, the nonlinear dynamic model as the joint of damper and control strategy is worthy of being investigated. In this study, the modeling methods based on the backbone curve are proposed to portray the dynamic characteristics of magneto-rheological damper. The modeling methods contain the phase lag method and the hysteresis division method. Six novel algebraic models are deduced from the two methods and compared systematically. The parameters identification of models is conducted by the nonlinear least square method. The nonlinear least square optimization problem is solved by the Levenberg–Marquardt algorithm. The evaluation indexes including the root-mean-square error, mean deviation and computation time are calculated to evaluate the accuracy and feasibility of the novel models. Results show that the modeling methods and their models can describe the nonlinear hysteretic characteristics with feasibility and accuracy.

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Daniels, Bram, Timo Overboom, and Elena Lomonova. "Coupled statistical and dynamic loss prediction of high-permeability grain-oriented electrical steel." European Physical Journal Applied Physics 90, no. 1 (April 2020): 10901. http://dx.doi.org/10.1051/epjap/2020200018.

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Power transformer design requires to model the loss and hysteresis behavior of the laminated steel core, constructed out of high-permeability grain-oriented electrical steel. This work predicts the magnetic loss and hysteresis behavior in the rolling direction of three transformer grade steels, for magnetic flux densities up to and including 1.9 T, and frequencies up to and including 300 Hz. Material characterization parameters for the excess loss, obtained by statistical loss separation for sinusoidal concentric hysteresis loops, are applied in a hysteresis model and govern the dynamic field behavior. The modeled loss is compared and verified with measurement data obtained by an Epstein frame for each steel gauge.

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Pimenov, Alexander, and Dmitrii Rachinskii. "Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator." Mathematica Bohemica 139, no. 2 (2014): 285–98. http://dx.doi.org/10.21136/mb.2014.143855.

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Nie, Zhuoyun, Chanjun Fu, Ruijuan Liu, Dongsheng Guo, and Yijing Ma. "Asymmetric Prandtl-Ishlinskii Hysteresis Model for Giant Magnetostrictive Actuator." Journal of Advanced Computational Intelligence and Intelligent Informatics 20, no. 2 (March 18, 2016): 223–30. http://dx.doi.org/10.20965/jaciii.2016.p0223.

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An asymmetric Prandtl–Ishlinskii (API) hysteresis model for a giant magnetostrictive actuator (GMA) is proposed in this paper. The classical Prandtl–Ishlinskii (PI) model is analyzed and divided into two parts: linear function and operator summation. To enhance model asymmetry, a polynomial function is used in the API model as the center curve of the hysteresis instead of the linear function. The remaining curve of the hysteresis is modeled by a new operator that provides some basic asymmetric hysteresis. In this manner, the proposed API model requires relatively less operators and fewer parameters to describe the asymmetric hysteresis behavior of the GMA. All parameters of the API model are identified by a standard least square method. Simulation results show that the API model is very successful in formulating an asymmetric hysteresis of the GMA. In addition, it provides better identification results compared with the classical PI model.

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Danilin, Alexander, Alexey Kurbatov, and Sergey Zhavoronok. "SIMULATION OF A MULTI-FREQUENCY STOCKBRIDGE VIBRATION DAMPER OSCILATIONS WITH ENERGY SCATTERING HYSTERESIS." International Journal for Computational Civil and Structural Engineering 16, no. 4 (December 28, 2020): 29–37. http://dx.doi.org/10.22337/2587-9618-2020-16-4-29-37.

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Spatial vibrations of a system containing a cable and a mass (solid body of arbitrary spatial configuration) are modeled. The problem is solved in a geometrically linear formulation, taking into account the hysteresis of energy scattering that is based on the kinematic equation. Identification of its parameters is carried out on the basis of experimental data on hysteresis loops of the limit cycle.

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Lund Frandsen, Henrik, and Staffan Svensson. "Implementation of sorption hysteresis in multi-Fickian moisture transport." Holzforschung 61, no. 6 (November 1, 2007): 693–701. http://dx.doi.org/10.1515/hf.2007.113.

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Abstract In the cellular structure of wood, bound-water diffusion and water-vapor diffusion interact via sorption in a complex moisture-transportation system. At low relative humidities, moisture transport may be modeled by a Fickian diffusion equation with a good approximation. At higher relative humidities, slow sorption and faster bound-water diffusion cause effects, which have been referred to as non-Fickian or anomalous, as they cannot be modeled by one Fickian diffusion equation. Previous research has demonstrated that a set of coupled diffusion equations, namely the multi-Fickian model, can represent this behavior. The multi-Fickian model describes the combined transport of bound water and vapor and their interaction through sorption. The bound-water concentration is also influenced by sorption hysteresis. In the worst case, sorption hysteresis may result in deviations of up to 30–35% in moisture content. Hence, for a precise moisture content computation, sorption hysteresis must be taken into account. The present paper explains the relation between sorption hysteresis and multi-Fickian moisture transport, and clarifies how models for the two phenomena are coupled. To illustrate the effects, a finite element simulation, which is based on the combined model, is presented.

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Wang, Anle, Yunong Zhou, and Martin H. Müser. "Modeling Adhesive Hysteresis." Lubricants 9, no. 2 (February 8, 2021): 17. http://dx.doi.org/10.3390/lubricants9020017.

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When an elastomer approaches or retracts from an adhesive indenter, the elastomer’s surface can suddenly become unstable and reshape itself quasi-discontinuously, e.g., when small-scale asperities jump into or snap out of contact. Such dynamics lead to a hysteresis between approach and retraction. In this study, we quantify numerically and analytically the ensuing unavoidable energy loss for rigid indenters with flat, Hertzian and randomly rough profiles. The range of adhesion turns out to be central, in particular during the rarely modeled approach to contact. For example, negligible traction on approach but quite noticeable adhesion for nominal plane contacts hinges on the use of short-range adhesion. Central attention is paid to the design of cohesive-zone models for the efficient simulation of dynamical processes. Our study includes a Griffith’s type analysis for the energy lost during fracture and regeneration of a flat interface. It reveals that the leading-order corrections of the energy loss are due to the finite-range adhesion scale at best, with the third root of the linear mesh size, while leading-order errors in the pull-off force disappear linearly.

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