A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model

Xue, Guangming; Bai, Hongbai; Li, Tuo; Ren, Zhiying; Wu, Zhangbin

doi:10.1007/s11071-024-09394-1

Nonlinear Dyn

2024

DOI: 10.1007/s11071-024-09394-1

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A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model

Guangming Xue,

Hongbai Bai,

Tuo Li

et al.

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Cited by 3 publications

References 52 publications

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A new modeling methodology for frequency-dependent hysteresis from the perspective of phase lag and amplitude attenuation

Wu,

Xue,

Bai

et al. 2024

Nonlinear Dyn

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A new modeling methodology for frequency-dependent hysteresis from the perspective of phase lag and amplitude attenuation

Wu,

Xue,

Bai

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

An asymmetric hysteresis model for metal-rubber isolators under dynamic loading and its application to nonlinear vibration simulation

Du,

Wang,

Jin

et al. 2025

Journal of Sound and Vibration

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Numerical analysis of the frequency-dependent Jiles-Atherton hysteresis model using the example of Terfenol-D material

Zhang,

Xue

2024

MATH

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<p>The Jiles-Atherton model has been widely used in describing the hysteretic property of a magnetic material or device. However, the calculation errors are not so easily discovered. With a complex expression, the frequency-dependent Jiles-Atherton model should be solved numerically with appropriate settings. This paper proposes an effective solving method for this model and describes some necessary analysis built on the numerical results. In the numerical method proposed in this manuscript, the anhysteretic magnetization was calculated by the secant method, and the trapezoidal rule was utilized to form the implicit function, which can be calculated by the fixed-point iteration. Compared to the other common methods, the proposed one has a friendly expression and fast computation speed. The Terfenol-D material was taken as an example for the numerical analysis. The feasible region was determined and the commonly used approximation that neglects the term of the magnetic field when calculating the magnetic induction intensity was tested. At last, the required number of sampling points per period was reached to guarantee high precision from analyzing its influence on the computation precision. The proposed numerical method is helpful for high-precision solutions of the frequency-dependent Jiles-Atherton model. The results from the numerical analysis can also help users avoid some incorrect calculations when employing this hysteresis model.</p>

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A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model

Cited by 3 publications

References 52 publications

A new modeling methodology for frequency-dependent hysteresis from the perspective of phase lag and amplitude attenuation

A new modeling methodology for frequency-dependent hysteresis from the perspective of phase lag and amplitude attenuation

An asymmetric hysteresis model for metal-rubber isolators under dynamic loading and its application to nonlinear vibration simulation

Numerical analysis of the frequency-dependent Jiles-Atherton hysteresis model using the example of Terfenol-D material

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