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First-passage failure of preisach hysteretic systems

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Abstract

The first-passage failure of a single-degree-of-freedom hysteretic system with non-local memory is investigated. The hysteretic behavior is described through a Preisach model with excitation selected as Gaussian white noise. First, the equivalent nonlinear non-hysteretic system with amplitude-dependent damping and stiffness coefficients is derived through generalized harmonic balance technique. Then, equivalent damping and stiffness coefficients are expressed as functions of system energy by using the relation of amplitude to system energy. The stochastic averaging of energy envelope is adopted to accept the averaged Itô stochastic differential equation with respect to system energy. The establishing and solving of the associated backward Kolmogorov equation yields the reliability function and probability density of first-passage time. The effects of system parameters on first-passage failure are investigated concisely and validated through Monte Carlo simulation.

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Authors and Affiliations

  1. Institute of Fluid Mechanics, China Jiliang University, 310018, Hangzhou, China

    Ming Xu

  2. Department of Engineering Mechanics, Zhejiang University, 310027, Hangzhou, China

    Xiaoling Jin, Yong Wang & Zhilong Huang

Authors
  1. Ming Xu
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  2. Xiaoling Jin
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  3. Yong Wang
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  4. Zhilong Huang
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Corresponding author

Correspondence to Yong Wang.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11025211, 11302064 and 11202181), Zhejiang Provincial Natural Science Foundation of China (No. LQ12A02001) and the special fund for the Doctoral Program of Higher Education of China (Nos. 20110101110050 and 20120101120171).

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Xu, M., Jin, X., Wang, Y. et al. First-passage failure of preisach hysteretic systems. Acta Mech. Solida Sin. 27, 477–485 (2014). https://doi.org/10.1016/S0894-9166(14)60056-2

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  • DOI: https://doi.org/10.1016/S0894-9166(14)60056-2

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