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Journal articles on the topic 'Modele hysteresis'

Author: Grafiati

Published: 2 November 2024

Last updated: 31 July 2025

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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 (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)

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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 (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 hysteresi

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4

Park, Jeong-Heum. "A Study on the Comparison of Simple Model and Zero-Hysteresis Model about Lithium-Ion Cell Simulation." Journal of the Korean Institute of Illuminating and Electrical Installation Engineers 38, no. 5 (2024): 391–96. http://dx.doi.org/10.5207/jieie.2024.38.5.391.

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5

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 (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 pre

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6

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 cha

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7

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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8

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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9

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 (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

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10

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 mode

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11

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 (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

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12

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 (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

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13

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 (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 i

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14

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 (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 con

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15

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 devot

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16

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 (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 conc

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17

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

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18

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 (2014): 17D103. http://dx.doi.org/10.1063/1.4853295.

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19

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

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20

Hagopian, Emmanuelle, Philipp Dechent, David Howey, and Charles W. Monroe. "Experimental Probing of Voltage Hysteresis to Inform Physics-Based Models." ECS Meeting Abstracts MA2025-01, no. 27 (2025): 1524. https://doi.org/10.1149/ma2025-01271524mtgabs.

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It is well known that lithium-iron-phosphate (LFP) cathodes exhibit significant voltage hysteresis when open-circuit voltage (OCV) is accessed via charge or discharge. This work focuses on the combined role of graphite and LFP in determining the hysteresis in LFP/graphite Li-ion battery cells. Since many control systems infer state-of-charge (SOC) from cell voltage, voltage hysteresis, which can range in the tens of millivolts for LFP/graphite, can incur large estimation errors. Battery management systems for LFP/graphite cells—already made more complicated by the large voltage plateau of the

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21

Marszalek, Wieslaw. "Self-Crossing Memristive Pinched Hystereses in Autonomous Implicit Models." Journal of Circuits, Systems and Computers 28, no. 08 (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 de

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22

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 (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 prac

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23

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 (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 co

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24

Krejčí, Pavel. "Vector hysteresis models." European Journal of Applied Mathematics 2, no. 3 (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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25

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

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26

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 (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 st

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27

B.A., Khudayarov, Turaev F.Z., and Shamsiddinov S.K. "DEVELOPMENT AND RESEARCH OF THE METHOD OF STATIC SYSTEMS IDENTIFICATION BY HYSTERESIS." Journal of Hydraulics and Environmental Engineering 1, no. 1 (2023): 1–35. https://doi.org/10.5281/zenodo.7795610.

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The paper considers methods for constructing and numerical realization of a hysteresis model for engineering systems. Mathematical models based on the analytical representation of the hysteresis characteristics of linear systems obtained by specifying piecewise linear signals at their input with different velocities of both signs on linear sections are proposed. For a more accurate description of the hysteresis characteristics of static systems that actually occur in practice, in a number of cases, differential equations of higher order are used, in particular, equations of the second order. T

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28

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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29

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

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30

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

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31

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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32

Macki, Jack W., Paolo Nistri, and Pietro Zecca. "Mathematical Models for Hysteresis." SIAM Review 35, no. 1 (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 a

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RAI, RENUKA, and HARJINDER SINGH. "HYSTERESIS STUDIES IN MAPS." Modern Physics Letters B 13, no. 06n07 (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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35

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 (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 (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 hyst

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37

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 (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 sugge

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38

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 (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 determin

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39

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

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40

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 (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

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41

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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42

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

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43

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

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44

Włodarski, Zdzisław, Jadwiga Włodarska, and Andrzej Brykalski. "Experimental verification of hysteresis models." Physica B: Condensed Matter 372, no. 1-2 (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 (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 (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 (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 (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

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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 (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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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 (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 param

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