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Journal articles on the topic 'Nonlinear Structural Dynamic'

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Author: Grafiati

Published: 14 March 2023

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1

Dou, Suguang, B. Scott Strachan, Steven W. Shaw, and Jakob S. Jensen. "Structural optimization for nonlinear dynamic response." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2051 (September 28, 2015): 20140408. http://dx.doi.org/10.1098/rsta.2014.0408.

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Much is known about the nonlinear resonant response of mechanical systems, but methods for the systematic design of structures that optimize aspects of these responses have received little attention. Progress in this area is particularly important in the area of micro-systems, where nonlinear resonant behaviour is being used for a variety of applications in sensing and signal conditioning. In this work, we describe a computational method that provides a systematic means for manipulating and optimizing features of nonlinear resonant responses of mechanical structures that are described by a single vibrating mode, or by a pair of internally resonant modes. The approach combines techniques from nonlinear dynamics, computational mechanics and optimization, and it allows one to relate the geometric and material properties of structural elements to terms in the normal form for a given resonance condition, thereby providing a means for tailoring its nonlinear response. The method is applied to the fundamental nonlinear resonance of a clamped–clamped beam and to the coupled mode response of a frame structure, and the results show that one can modify essential normal form coefficients by an order of magnitude by relatively simple changes in the shape of these elements. We expect the proposed approach, and its extensions, to be useful for the design of systems used for fundamental studies of nonlinear behaviour as well as for the development of commercial devices that exploit nonlinear behaviour.

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2

Karabutov, Nikolay. "Structural Identification of Nonlinear Dynamic Systems." International Journal of Intelligent Systems and Applications 7, no. 9 (September 8, 2015): 1–11. http://dx.doi.org/10.5815/ijisa.2015.09.01.

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3

Karabutov, N. N. "Structural Identiﬁability of Nonlinear Dynamic Systems." Mekhatronika, Avtomatizatsiya, Upravlenie 20, no. 4 (April 10, 2019): 195–205. http://dx.doi.org/10.17587/mau.20.195-205.

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Approach to the analysis of nonlinear dynamic systems structural identifiability (SI) under uncertainty is proposed. This approach has difference from methods applied to SI estimation of dynamic systems in the parametrical space. Structural identifiability is interpreted as of the structural identification possibility a system nonlinear part. We show that the input should synchronize the system for the SI problem solution. The S-synchronizability concept of a system is introduced. An unsynchronized input gives an insignificant framework which does not guarantee the structural identification problem solution. It results in structural not identifiability of a system. The subset of the synchronizing inputs on which systems are indiscernible is selected. The structural identifiability estimation method is based on the analysis of framework special class. The structural identifiability estimation method is proposed for systems with symmetric nonlinearities. The input parameter effect is studied on the possibility of the system SI estimation. It is showed that requirements of an excitation constancy to an input in adaptive systems and SI systems differ.

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4

Kashani, H., and A. S. Nobari. "Structural Nonlinearity Identification Using Perturbed Eigen Problem and ITD Modal Analysis Method." Applied Mechanics and Materials 232 (November 2012): 949–54. http://dx.doi.org/10.4028/www.scientific.net/amm.232.949.

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Identification of nonlinear behavior in structural dynamics has been considered here, in this paper. Time domain output data of system are directly used to identify system through Ibrahim Time Domain (ITD) modal analysis method and perturbed eigen problem. Cubic stiffness and Jenkins element, as case studies, are employed to qualify the identification method. Results are compared with Harmonic Balance (HB) estimation of nonlinear dynamic stiffness. Results of ITD based identification are in good agreement with the HB estimation, for stiffness parts of nonlinear dynamic stiffness but for damping parts of nonlinear dynamic stiffness, method needs some additional improvements which are under investigation.

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5

Yang, Min, Weiming Xiao, Erjing Han, Junjuan Zhao, Wenjiang Wang, and Yunan Liu. "Dynamic analysis of negative stiffness noise absorber with magnet." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 7 (February 1, 2023): 183–88. http://dx.doi.org/10.3397/in_2022_0031.

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In the paper, the negative stiffness membrane absorber with magnet has been taken as a nonlinear noise absorber. The dynamic characteristics of the nonlinear noise absorber have been studied by nonlinear dynamics theory and numerical simulation. The dynamic equations of the system were established under harmonic excitation. The slow flow equations of the system are derived by using complexification averaging method, and the nonlinear equations which describe the steady-state response are obtained. Bifurcation diagram, amplitude frequency diagram and phase diagram are used to study the nonlinear response of structures under different excitation conditions. The effects of excitation amplitude, excitation frequency, nonlinear term and structural parameters on the nonlinear dynamic characteristics and sound absorption characteristics of the structure are studied. The resulting equations are verified by comparing the results which respectively obtained from complexification-averaging method and Runge-Kutta method. It is helpful to optimize the structural parameters and further improve the sound absorption performance to study the variation of the sound absorption performance of magnet negative stiffness membrane absorber system with its structural parameters.

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6

Davey, Keith, Muhammed Atar, Hamed Sadeghi, and Rooholamin Darvizeh. "The scaling of nonlinear structural dynamic systems." International Journal of Mechanical Sciences 206 (September 2021): 106631. http://dx.doi.org/10.1016/j.ijmecsci.2021.106631.

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7

Chen, Hua-Peng. "Nonlinear Perturbation Theory for Structural Dynamic Systems." AIAA Journal 43, no. 11 (November 2005): 2412–21. http://dx.doi.org/10.2514/1.15207.

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8

Karpel, Moti, Alexander Shousterman, Carlos Maderuelo, and Héctor Climent. "Dynamic Aeroservoelastic Response with Nonlinear Structural Elements." AIAA Journal 53, no. 11 (November 2015): 3233–39. http://dx.doi.org/10.2514/1.j053550.

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9

Ting, T., and I. U. Ojalvo. "Dynamic structural correlation via nonlinear programming techniques." Finite Elements in Analysis and Design 5, no. 3 (October 1989): 247–56. http://dx.doi.org/10.1016/0168-874x(89)90047-4.

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10

Ahmadi, Karim, Davood Asadi, and Farshad Pazooki. "Nonlinear L1 adaptive control of an airplane with structural damage." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 1 (September 14, 2017): 341–53. http://dx.doi.org/10.1177/0954410017730088.

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This paper investigates the design of a novel nonlinear L1 adaptive control architecture to stabilize and control an aircraft with structural damage. The airplane nonlinear model is developed considering center of gravity variation and aerodynamic changes due to damage. The new control strategy is applied by using nonlinear dynamic inversion as a baseline augmented with an L1 adaptive control strategy on NASA generic transport model in presence of un-modeled actuator dynamics, wing and vertical tail damage. The L1 adaptive controller with appropriate design of filter and gains is applied to accommodate uncertainty due to structural damage and un-modeled dynamics in the nonlinear dynamic inversion loop, and to meet desired performance requirements. The properties of the proposed nonlinear adaptive controller are investigated against a model reference adaptive control, a robust model reference adaptive control, and an adaptive sliding mode control strategy. The results clearly represent the excellent overall performance of the designed controller.

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11

Rezaiee-Pajand, M., and S. R. Sarafrazi. "Nonlinear dynamic structural analysis using dynamic relaxation with zero damping." Computers & Structures 89, no. 13-14 (July 2011): 1274–85. http://dx.doi.org/10.1016/j.compstruc.2011.04.005.

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12

Carminati, M., and S. Ricci. "Structural Damage Detection Using Nonlinear Vibrations." International Journal of Aerospace Engineering 2018 (September 25, 2018): 1–21. http://dx.doi.org/10.1155/2018/1901362.

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Nonlinear vibrations emerging from damaged structures are suitable indicators for detecting defects. When a crack arises, its behavior could be approximated like a bilinear stiffness. According to this scheme, typical nonlinear phenomena as the presence of superharmonics in the dynamic response and the variation of the oscillation frequency in time emerge. These physical consequences give the opportunity to study damage detection procedures with relevant improvements with respect to the typical strategies based on linear vibrations, such as high sensitivity to small damages, no need for an accurate comparison model, and behavior not influenced by environmental conditions. This paper presents a methodology, which aims at finding suitable nonlinear phenomena for the damage detection of three contact-type damages in a panel representing a typical aeronautical structural component. At first, structural simulations are executed using MSC Nastran models and reduced dynamic models in MATLAB in order to highlight relevant nonlinear behaviors. Then, proper experimental tests are developed in order to look for the nonlinear phenomena identified: presence of superharmonics in the dynamic response and nonlinear behavior of the lower frequency of vibration, computed using the CWT (continuous wavelet transform). The proposed approach exhibits the possibility to detect and localize contact-type damages present in a realistic assembled structure.

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13

Karabutov, N. N. "S-synchronization Structural Identiﬁability and Identiﬁcation of Nonlinear Dynamic Systems." Mekhatronika, Avtomatizatsiya, Upravlenie 21, no. 6 (June 4, 2020): 323–36. http://dx.doi.org/10.17587/mau.21.323-336.

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An approach to the structural identifiability analysis of nonlinear dynamic systems under uncertainty is proposed. We have shown that S-synchronization is the necessary condition for the structural identifiability of a nonlinear system. Conditions are obtained for the design of a model which identifies the nonlinear part of the system. The method is proposed for the obtaining of a set which contains the information on the nonlinear part. A class of geometric frameworks which reflect the state of the system nonlinear part is introduced. Geometrical frameworks are defined on the synthesized set. The conditions are given for the structural indistinguishability of geometric frameworks on the set of S-synchronizing inputs. Local identifiability conditions are obtained for the nonlinear part. We are shown that a non-synchronizing input gives an insignificant geometric framework. This leads to a structural non-identifiability of the system nonlinear part. The method is proposed for the estimation of the structural identifiability the nonlinear part of the system. Conditions for parametric identifiability of the system linear part are obtained. We show that the structural identifiability is the basis for the structural identification of the system. The hierarchical immersion method is proposed for the estimation of nonlinear system structural parameters. The method is used for the structural identification of a system with Bouc-Wen hysteresis.

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14

Li, Wei, Zhaolin Chen, and Yujie Guo. "Model order reduction for structural nonlinear dynamic analysis based on Isogeometric analysis." Journal of Physics: Conference Series 2235, no. 1 (May 1, 2022): 012073. http://dx.doi.org/10.1088/1742-6596/2235/1/012073.

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Abstract Model order reduction approach generates lower dimensional approximations to the original system while preserving model’s essential information and computational accuracy. For nonlinear structural dynamic problems, where the stiffness matrix is configuration dependent, an iterative solution procedure is inevitable and a revisit to all the elements is essential for updating the stiffness matrix. In this paper, the nonlinear dynamics of the planar curved beams and 3D cylindrical shells are studied based on the isogeometric analysis and their model order reductions are investigated based on the proper orthogonal decomposition and discrete empirical interpolation method (POD-DEIM). Numerical results show that IGA-based POD-DEIM method significantly improves the computational efficiency of the nonlinear dynamic analysis of the beam and shell structures.

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15

Karabutov, Nikolay. "Structural Identifiability of Nonlinear Dynamic Systems under Uncertainty." International Journal of Intelligent Systems and Applications 12, no. 1 (February 8, 2020): 12–22. http://dx.doi.org/10.5815/ijisa.2020.01.02.

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16

Hall, E. K., and S. V. Hanagud. "Control of nonlinear structural dynamic systems - Chaotic vibrations." Journal of Guidance, Control, and Dynamics 16, no. 3 (May 1993): 470–76. http://dx.doi.org/10.2514/3.21033.

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17

Kordt, Michael, and Helmut Lusebrink. "Nonlinear order reduction of structural dynamic aircraft models." Aerospace Science and Technology 5, no. 1 (January 2001): 55–68. http://dx.doi.org/10.1016/s1270-9638(00)01086-5.

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18

Kitada, Yoshihiro. "Identification of Nonlinear Structural Dynamic Systems Using Wavelets." Journal of Engineering Mechanics 124, no. 10 (October 1998): 1059–66. http://dx.doi.org/10.1061/(asce)0733-9399(1998)124:10(1059).

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19

Idelsohn, Sergio R., and Alberto Cardona. "A reduction method for nonlinear structural dynamic analysis." Computer Methods in Applied Mechanics and Engineering 49, no. 3 (June 1985): 253–79. http://dx.doi.org/10.1016/0045-7825(85)90125-2.

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20

KITADA, Yoshihiro. "IDENTIFICATION OF NONLINEAR STRUCTURAL DYNAMIC SYSTEMS USING WAVELETS." Journal of Structural and Construction Engineering (Transactions of AIJ) 63, no. 504 (1998): 43–48. http://dx.doi.org/10.3130/aijs.63.43_1.

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21

Kelava, Augustin, and Holger Brandt. "A Nonlinear Dynamic Latent Class Structural Equation Model." Structural Equation Modeling: A Multidisciplinary Journal 26, no. 4 (January 24, 2019): 509–28. http://dx.doi.org/10.1080/10705511.2018.1555692.

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22

Kirsch, Uri, and Michael Bogomolni. "Nonlinear and dynamic structural analysis using combined approximations." Computers & Structures 85, no. 10 (May 2007): 566–78. http://dx.doi.org/10.1016/j.compstruc.2006.08.073.

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23

Aschheim, Mark, Tjen Tjhin, Craig Comartin, Ron Hamburger, and Mehmet Inel. "The scaled nonlinear dynamic procedure." Engineering Structures 29, no. 7 (July 2007): 1422–41. http://dx.doi.org/10.1016/j.engstruct.2006.07.020.

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24

Dai, Yuting, Linpeng Wang, Chao Yang, and Xintan Zhang. "Dynamic Gust Load Analysis for Rotors." Shock and Vibration 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/5727028.

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Dynamic load of helicopter rotors due to gust directly affects the structural stress and flight performance for helicopters. Based on a large deflection beam theory, an aeroelastic model for isolated helicopter rotors in the time domain is constructed. The dynamic response and structural load for a rotor under the impulse gust and slope-shape gust are calculated, respectively. First, a nonlinear Euler beam model with 36 degrees-of-freedoms per element is applied to depict the structural dynamics for an isolated rotor. The generalized dynamic wake model and Leishman-Beddoes dynamic stall model are applied to calculate the nonlinear unsteady aerodynamic forces on rotors. Then, we transformed the differential aeroelastic governing equation to an algebraic one. Hence, the widely used Newton-Raphson iteration algorithm is employed to simulate the dynamic gust load. An isolated helicopter rotor with four blades is studied to validate the structural model and the aeroelastic model. The modal frequencies based on the Euler beam model agree well with published ones by CAMRAD. The flap deflection due to impulse gust with the speed of 2m/s increases twice to the one without gust. In this numerical example, results indicate that the bending moment at the blade root is alleviated due to elastic effect.

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25

Xu, Yanxin, Dongjian Zheng, Chenfei Shao, Sen Zheng, Hao Gu, and Huixiang Chen. "Real-Time Diagnosis of Structural Damage Based on NARX Neural Network with Dynamic Response." Mathematics 11, no. 6 (March 7, 2023): 1281. http://dx.doi.org/10.3390/math11061281.

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In order to improve the applicability of the time series model for structural damage diagnosis, this article proposed a real-time structural damage diagnosis method based on structural dynamic response and a recurrent neural network model. Starting from the transfer rate function of linear structure dynamic response, a generalized Auto-Regressive model with eXtra inputs (ARX) expression for a dynamic response under smooth excitation conditions was derived and extended to the case of nonlinear structure damage using a neural nonlinear ARX (NARX) network model. The method of NARX neural network construction and online parameter learning was studied to solve the definiteness of each factor in the network by applying unit input vectors to the model, and to construct diagnostic indices for structural nonlinear damage based on the Marxian distance (MD). Finally, the effectiveness of NARX damage diagnosis with neural network was verified by numerical arithmetic examples of stiffness loss in four-degree-of-freedom (4-DOF) nonlinear systems. The results showed that the NARX neural network can effectively describe the input-output relationship of the structural system under nonlinear damage. For dynamic neural networks, factor determination based on unit inputs has higher computational accuracy than that of the conventional method. The well-established MD damage index could effectively characterize the devolution of structural nonlinear damage.

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26

Knight, Norman F. "Nonlinear structural dynamic analysis using a modified modal method." AIAA Journal 23, no. 10 (October 1985): 1594–601. http://dx.doi.org/10.2514/3.9129.

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27

Baek, Seokheum, Hyunsu Kim, Deukyul Jang, Seungbeom Lee, Youngseok Kwon, Euidong Ro, and Changhoon Lee. "Structural Optimization for Nonlinear Dynamic Response of Solenoid Actuator." Transactions of the Korean Society of Automotive Engineers 21, no. 1 (January 1, 2013): 113–20. http://dx.doi.org/10.7467/ksae.2013.21.1.113.

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28

Jacob, B. P., and N. F. F. Ebecken. "Adaptive reduced integration method for nonlinear structural dynamic analysis." Computers & Structures 45, no. 2 (October 1992): 333–47. http://dx.doi.org/10.1016/0045-7949(92)90417-x.

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29

Kounadis, A. N. "Nonlinear dynamic buckling and stability of autonomous structural systems." International Journal of Mechanical Sciences 35, no. 8 (August 1993): 643–56. http://dx.doi.org/10.1016/0020-7403(93)90015-m.

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30

Mchedlishvili, N. P. "Structural Stability on Identification of Nonlinear Dynamic Control Object." IFAC Proceedings Volumes 22, no. 16 (October 1989): 157–59. http://dx.doi.org/10.1016/s1474-6670(17)53003-7.

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31

Yang, Yuan-Sen, Weichung Wang, and Jia-Zhang Lin. "Direct-Iterative Hybrid Solution in Nonlinear Dynamic Structural Analysis." Computer-Aided Civil and Infrastructure Engineering 32, no. 5 (March 23, 2017): 397–411. http://dx.doi.org/10.1111/mice.12259.

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32

Kim, Yong-Il, and Gyung-Jin Park. "Nonlinear dynamic response structural optimization using equivalent static loads." Computer Methods in Applied Mechanics and Engineering 199, no. 9-12 (January 2010): 660–76. http://dx.doi.org/10.1016/j.cma.2009.10.014.

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33

Moon, F. C., and E. H. Dowell. "Structural Dynamics." Applied Mechanics Reviews 38, no. 10 (October 1, 1985): 1287–89. http://dx.doi.org/10.1115/1.3143694.

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While much of the linear theory of structural dynamics has been codified in numerous computer software, important problems remain such as inverse methods (modal synthesis or system identification) and optimization problems. Nonlinear problems, however, are a fertile ground for new research, especially those involving large deformations (e.g., crash simulation) and material nonlinearities. Structure interaction problems will continue to be a fruitful area of research including fluid-structure dynamics and interaction with acoustic noise, thermal fields, soils, and electromagnetic forces. For example, new knowledge about unsteady flows around bluff bodies is needed to make significant progress with dynamic interaction problems with bridge and building structures in unsteady winds. A new field which shows great promise for application is the theory of feedback control of flexible structures. Advances in this area could pay off in near-space engineering and robotics. The training of new researchers with backgrounds in both structural dynamics and control theory and experience is a high priority for the control-structure field, however.

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34

Xue, Yaodong, Yongfeng Cheng, Zhubing Zhu, Sheng Li, Zhenlin Liu, Hulun Guo, and Shujun Zhang. "Study on Seismic Performance of Porcelain Pillar Electrical Equipment Based on Nonlinear Dynamic Theory." Advances in Civil Engineering 2021 (February 6, 2021): 1–17. http://dx.doi.org/10.1155/2021/8816322.

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In order to consider the influence of nonlinear characteristics of porcelain pillar electrical equipment on the dynamic response under seismic excitation, a theoretical analysis method of nonlinear dynamics was raised to define the nonlinear parameter of the flange connection and establish a dynamic model of porcelain pillar electrical equipment. The theoretical analysis and the test results have a good degree of fitting, which verifies the correctness of the dynamic model and reveals the nonlinear seismic response law of the porcelain pillar equipment. According to the results, both the nonlinear calculation results of the displacement at the top end of the porcelain pillar and the stress at the bottom end of the porcelain pillar are smaller than the results in the linear calculation. The difference between them increases gradually with the increase of seismic excitation. The differences in displacement and stress at a seismic excitation of 0.5 g are 14.58% and 23.25%, respectively. When the nonlinear parameter increases to a certain value, the impact of maximum stress on the bottom of the porcelain pillar is very small and the change is not obvious. The research provides a theoretical reference for the seismic design of pillar electrical equipment.

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35

Kodkin, Vladimir L., Aleksandr Sergeevich Anikin, and Aleksandr Aleksandrovich Baldenkov. "Structural correction of nonlinear dynamics of frequency-controlled induction motor drives." International Journal of Power Electronics and Drive Systems (IJPEDS) 11, no. 1 (March 1, 2020): 220. http://dx.doi.org/10.11591/ijpeds.v11.i1.pp220-227.

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<span>Frequency analysis of processes in the frequency-controlled induction motor drive s, as in automatic control systems with dynamic non-linearities, are presented in this paper. For the first time, dynamic formulas of transfer functions of a torque driver in an induction motor with frequency control, taking into account the slip and frequency of the stator voltage, are proposed. Methods for constructing families of frequency characteristics of such electromechanical systems with “frozen” but different values of the frequency of the stator voltage and slip are described. The frequency characteristics corresponding to these transfer functions are constructed in the Simulink application of the MatLab software. Based on results of the analysis the structural correction methods that improve the dynamics of such nonlinear systems are proposed. The nonlinear transfer functions obtained in this work made it possible to substantiate structural solutions that linearize frequency-controlled electric drives and significantly increase their efficiency. This paper is an example of how the initial complicated (but more accurate) interpretation of nonlinearity allowed us to find a new best solution to the problem of controlling a complex dynamic object.</span>

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36

Zhang, Jinyue, Lei Shi, Tianhao Liu, De Zhou, and Weibin Wen. "Performance of a Three-Substep Time Integration Method on Structural Nonlinear Seismic Analysis." Mathematical Problems in Engineering 2021 (December 21, 2021): 1–20. http://dx.doi.org/10.1155/2021/6442260.

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In this work, a study of a three substeps’ implicit time integration method called the Wen method for nonlinear finite element analysis is conducted. The calculation procedure of the Wen method for nonlinear analysis is proposed. The basic algorithmic property analysis shows that the Wen method has good performance on numerical dissipation, amplitude decay, and period elongation. Three nonlinear dynamic problems are analyzed by the Wen method and other competitive methods. The result comparison indicates that the Wen method is feasible and efficient in the calculation of nonlinear dynamic problems. Theoretical analysis and numerical simulation illustrate that the Wen method has desirable solution accuracy and can be a good candidate for nonlinear dynamic problems.

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37

SALUKVADZE, MINDIA, and BESARION SHANSHIASHVILI. "IDENTIFICATION OF NONLINEAR CONTINUOUS DYNAMIC SYSTEMS WITH CLOSED CYCLE." International Journal of Information Technology & Decision Making 12, no. 02 (March 2013): 179–99. http://dx.doi.org/10.1142/s0219622013500089.

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Structural and parametric identification of nonlinear continuous dynamic systems with a closed cycle on a set of continuous block-oriented models with feedback is considered. The method of structural identification in the steady state based on the observation of the system's input and output variables at the input periodic influences is proposed. The solution of the parameter identification problems, which can be immediately connected with the structural identification problem, is carried out in the steady and transient states by the method of least squares. The structural and parametric identification algorithms are investigated by means of both theoretical analysis and computer modeling.

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38

Qi, Yong Sheng, Feng Hua Zhao, and Jun Wen Zhou. "Applications of Explicit FEA in Structural Static and Dynamic Analyses." Applied Mechanics and Materials 438-439 (October 2013): 1498–501. http://dx.doi.org/10.4028/www.scientific.net/amm.438-439.1498.

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Non-convergence often occurs in the solution of highly nonlinear problem by conventional implicit finite element method. As another choice, explicit method is sometimes used by researchers. Through 2 typical static and dynamic examples this paper verifies that explicit finite element method can provide the same exactness of calculation as the implicit method even in the situation that the duration of action exceeds the natural period of structure greatly. At the same time, compared with implicit method, explicit method possesses higher speed, more robust algorithm, and stronger nonlinear capability, so that explicit method can be applied in static and dynamic analysis of structures, especially in large deformation and highly nonlinear problem.

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39

Kruszka, Leopold, Yu S. Vorobiov, and N. Yu Ovcharova. "FEM Analysis of Cylindrical Structural Elements under Local Shock Loading." Applied Mechanics and Materials 566 (June 2014): 499–504. http://dx.doi.org/10.4028/www.scientific.net/amm.566.499.

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High rate deformations of structures cylindrical elements are considered 3D formulation. Elastic-plastic finite deformations and dynamic properties of material take into account. The problem become geometrically and physically nonlinear and finite element method is used. The numerical analyses of dynamics stress-strain state of real structures elements is executed.

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40

Wang, Peng, and Fengqi Si. "Dynamic Prediction of the Thermal Nonlinear Process Based on Deep Hybrid Neural Network." E3S Web of Conferences 162 (2020): 01007. http://dx.doi.org/10.1051/e3sconf/202016201007.

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Nonlinear system prediction plays an important role in the practical thermal process, and deep learning algorithm is now popular in nonlinear dynamic system modeling because of its powerful learning ability. In this paper, the dynamic artificial neural networks (DANNs), which can be divided into two different types with external dynamic characteristics and internal dynamic characteristics, are analyzed. The mathematical formulations of feedforward deep neural network (DNN), traditional recurrent neural network (RNN) and Long-Short Term Memory network (LSTM) models are given. Furthermore, the structure of deep Hybrid Neural Network (DHNN) is described. Finally, the applicability of the above models in the thermal nonlinear process with different structural features is discussed. Simulation experiments reveal that DANNs with internal dynamic characteristics more suitable for solving thermal nonlinear system modeling problems with unknown order, and DHNN based on LSTM model has performed much better in approximating the dynamics of the thermal process with state parameters.

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41

Xu, Bin, Bai-Chuan Deng, Jing Li, and Jia He. "Structural nonlinearity and mass identification with a nonparametric model using limited acceleration measurements." Advances in Structural Engineering 22, no. 4 (August 13, 2018): 1018–31. http://dx.doi.org/10.1177/1369433218792083.

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Structural nonlinearity identification is critical for post-event damage detection or condition evaluation of engineering structures after strong dynamic excitation such as earthquake where structural nonlinear behaviour should be considered. Structural nonlinear restoring force provides direct indicator describing structural damage initiation and development procedure. Considering the availability of structural dynamic response measurement and the difficulty in defining a parametric model for structural nonlinearity and in estimating structure mass accurately in practice, in this article, a time-domain structural nonlinear restoring force and mass identification approach for multi-degree-of-freedom structures under incomplete excitation using limited acceleration measurements but without using any parametric models of structural nonlinear restoring force is proposed. At first, a memory fading extended Kalman filter with a weighted globl iteration (MF-EKF-WGI) is used to identify the location of nonlinearities and then a Chebyshev polynomial nonparametric model is introduced to model the nonlinear restoring force. The unscented Kalman filter is used to identify the structural responses and the parameters of the Chebyshev polynomial to describe structural nonlinearity. Numerical and experimental studies with a four-storey frame model structure equipped with a magnetorheological damper, which is employed to mimic structural nonlinear behaviour, under impact excitations are carried out to validate the performance of the proposed approach using acceleration measurements at certain degrees of freedom. Numerical and experimental results show that the proposed approach is capable of identifying both structural nonlinear restoring force and mass with acceptable accuracy even with a very rough initial mass estimation. The proposed time-domain identification approach can be used to detect structural damage initiation and development process and to evaluate energy consumption quantitatively of engineering structures under dynamic loadings.

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42

SUHIR, E. "STRUCTURAL DYNAMICS OF ELECTRONIC SYSTEMS." Modern Physics Letters B 27, no. 07 (March 19, 2013): 1330004. http://dx.doi.org/10.1142/s0217984913300044.

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The published work on analytical ("mathematical") and computer-aided, primarily finite-element-analysis (FEA) based, predictive modeling of the dynamic response of electronic systems to shocks and vibrations is reviewed. While understanding the physics of and the ability to predict the response of an electronic structure to dynamic loading has been always of significant importance in military, avionic, aeronautic, automotive and maritime electronics, during the last decade this problem has become especially important also in commercial, and, particularly, in portable electronics in connection with accelerated testing of various surface mount technology (SMT) systems on the board level. The emphasis of the review is on the nonlinear shock-excited vibrations of flexible printed circuit boards (PCBs) experiencing shock loading applied to their support contours during drop tests. At the end of the review we provide, as a suitable and useful illustration, the exact solution to a highly nonlinear problem of the dynamic response of a "flexible-and-heavy" PCB to an impact load applied to its support contour during drop testing.

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Kim, Seung-Eock, and Huu-Tai Thai. "Nonlinear inelastic dynamic analysis of suspension bridges." Engineering Structures 32, no. 12 (December 2010): 3845–56. http://dx.doi.org/10.1016/j.engstruct.2010.08.027.

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Ganji, H. Doumiri, S. S. Ganji, D. D. Ganji, and F. Vaseghi. "Analysis of Nonlinear Structural Dynamics and Resonance in Trees." Shock and Vibration 19, no. 4 (2012): 609–17. http://dx.doi.org/10.1155/2012/702712.

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Wind and gravity both impact trees in storms, but wind loads greatly exceed gravity loads in most situations. Complex behavior of trees in windstorms is gradually turning into a controversial concern among ecological engineers. To better understand the effects of nonlinear behavior of trees, the dynamic forces on tree structures during periods of high winds have been examined as a mass-spring system. In fact, the simulated dynamic forces created by strong winds are studied in order to determine the responses of the trees to such dynamic loads. Many of such nonlinear differential equations are complicated to solve. Therefore, this paper focuses on an accurate and simple solution, Differential Transformation Method (DTM), to solve the derived equation. In this regard, the concept of differential transformation is briefly introduced. The approximate solution to this equation is calculated in the form of a series with easily computable terms. Then, the method has been employed to achieve an acceptable solution to the presented nonlinear differential equation. To verify the accuracy of the proposed method, the obtained results from DTM are compared with those from the numerical solution. The results reveal that this method gives successive approximations of high accuracy solution.

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Fang, Pan, Liming Dai, Yongjun Hou, Mingjun Du, and Wang Luyou. "The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System." Shock and Vibration 2019 (March 7, 2019): 1–9. http://dx.doi.org/10.1155/2019/3497410.

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The dynamic behavior of nonlinear systems can be concluded as chaos, periodicity, and the motion between chaos and periodicity; therefore, the key to study the nonlinear system is identifying dynamic behavior considering the different values of the system parameters. For the uncertainty of high-dimensional nonlinear dynamical systems, the methods for identifying the dynamics of nonlinear nonautonomous and autonomous systems are treated. In addition, the numerical methods are employed to determine the dynamic behavior and periodicity ratio of a typical hull system and Rössler dynamic system, respectively. The research findings will develop the evaluation method of dynamic characteristics for the high-dimensional nonlinear system.

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Habtour, Ed M., Daniel P. Cole, Christopher M. Kube, Todd C. Henry, Robert A. Haynes, Frank Gardea, Tomoko Sano, and Tiedo Tinga. "Structural state awareness through integration of global dynamic and local material behavior." Journal of Intelligent Material Systems and Structures 30, no. 9 (February 24, 2019): 1355–65. http://dx.doi.org/10.1177/1045389x19828489.

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Structural health monitoring and nondestructive inspection techniques typically assess the lifecycle and reliability of high-value aerospace, mechanical, and civil systems. Maintenance and inspection intervals are typically time-based and dependent on the structural health monitoring/nondestructive inspection technique to detect macroscale damage resulting from fatigue or environmental damage. The current work proposes an integrated materials-structures-dynamics approach for providing state awareness of structural health. The proposed approach shifts the conventional structural health monitoring/nondestructive inspection focus of searching for cracks to a health state awareness based on tracking changes in the energetics of the materials-structures-dynamics states. Energy variations are tracked in a cantilevered structure exposed to nonlinear harmonic oscillation, where the strain energy of the beam was derived and used to determine a health state index. Nanoindentation was used to probe the near-surface mechanical properties of the beam to characterize local material variations as a function of fatigue cycles. A nonlinear ultrasonic approach was considered in order to connect the local material behavior changes to the variations in the dynamic performance of the beam. The intent of the investigation was to connect the traditionally detached materials, structural, and dynamics approaches to structural health monitoring/nondestructive inspection, while providing a framework for enabling damage precursor detection.

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Xu, Xing Zhi, Ya Kui Gao, and Wei Guo Zhang. "Nonlinear Aeroelastic Analysis for a Rudder with a Hydraulic Booster." Advanced Materials Research 1014 (July 2014): 169–74. http://dx.doi.org/10.4028/www.scientific.net/amr.1014.169.

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Nonlinear aeroelastic characteristics of a rudder with a hydraulic booster are investigated, including the structural nonlinearity and dynamics of the hydraulic booster. The component mode substitution method is used to establish the nonlinear governing equations based on the fundamental dynamic equations of the hydraulic booster and rocker arm. Simulations are carried out when the control command is not zero and further analysis is conducted when the freeplay angle is changed. The results show that the effects of the actuator and the structural nonlinearity have a significant influence on the flutter characteristics. In the nonlinear condition, the phase and frequency of the control command have both an influence on the flutter characteristics.

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Yin, Shih-Hsun, and Bogdan I. Epureanu. "Structural health monitoring based on sensitivity vector fields and attractor morphing." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1846 (July 28, 2006): 2515–38. http://dx.doi.org/10.1098/rsta.2006.1838.

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The dynamic responses of a thermo-shielding panel forced by unsteady aerodynamic loads and a classical Duffing oscillator are investigated to detect structural damage. A nonlinear aeroelastic model is obtained for the panel by using third-order piston theory to model the unsteady supersonic flow, which interacts with the panel. To identify damage, we analyse the morphology (deformation and movement) of the attractor of the dynamics of the aeroelastic system and the Duffing oscillator. Damages of various locations, extents and levels are shown to be revealed by the attractor-based analysis. For the panel, the type of damage considered is a local reduction in the bending stiffness. For the Duffing oscillator, variations in the linear and nonlinear stiffnesses and damping are considered as damage. Present studies of such problems are based on linear theories. In contrast, the presented approach using nonlinear dynamics has the potential of enhancing accuracy and sensitivity of detection.

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Lülf, Fritz Adrian, Duc-Minh Tran, and Roger Ohayon. "Reduced bases for nonlinear structural dynamic systems: A comparative study." Journal of Sound and Vibration 332, no. 15 (July 2013): 3897–921. http://dx.doi.org/10.1016/j.jsv.2013.02.014.

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Soares, Delfim, and Georg Großeholz. "Nonlinear structural dynamic analysis by a stabilized central difference method." Engineering Structures 173 (October 2018): 383–92. http://dx.doi.org/10.1016/j.engstruct.2018.06.115.

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