First-passage failure of preisach hysteretic systems

Acta Mechanica Solida Sinica ◽

10.1016/s0894-9166(14)60056-2 ◽

2014 ◽

Vol 27 (5) ◽

pp. 477-485 ◽

Author(s):

Ming Xu ◽

Xiaoling Jin ◽

Yong Wang ◽

Zhilong Huang

Keyword(s):

First Passage ◽

Hysteretic Systems ◽

First Passage Failure

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First-passage failure of Duhem hysteretic systems

Acta Mechanica ◽

10.1007/s00707-012-0679-z ◽

2012 ◽

Vol 223 (9) ◽

pp. 1959-1970 ◽

Author(s):

Ming Xu ◽

Xiao-Ling Jin ◽

Zhi-Long Huang

Keyword(s):

First Passage ◽

Hysteretic Systems ◽

First Passage Failure

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Stationary response and first-passage failure of hysteretic systems under random excitations of Poisson white noise and its filtered processes

Procedia Engineering ◽

10.1016/j.proeng.2012.01.1163 ◽

2012 ◽

Vol 31 ◽

pp. 1200-1205 ◽

Author(s):

Yan Zeng ◽

Gang Li

Keyword(s):

White Noise ◽

First Passage ◽

Poisson White Noise ◽

Stationary Response ◽

Hysteretic Systems ◽

First Passage Failure

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Stochastic optimal control for first-passage failure of nonlinear oscillators with multi-degrees-of-freedom

Journal of Shanghai Jiaotong University (Science) ◽

10.1007/s12204-013-1428-8 ◽

2013 ◽

Vol 18 (5) ◽

pp. 577-582

Author(s):

Yang-yan Gao ◽

Yong-jun WU

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Degrees Of Freedom ◽

Nonlinear Oscillators ◽

First Passage ◽

First Passage Failure

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HIGH-ACCURATE EVALUATION OF FIRST PASSAGE FAILURE PROBABILITIES FOR STATIONARILY RANDOMLY EXCITED STRUCTURES

Proceedings of the Japan Society of Civil Engineers ◽

10.2208/jscej1969.1983.332_11 ◽

1983 ◽

Vol 1983 (332) ◽

pp. 11-23

Author(s):

Sadao KOMATSU ◽

Takahiro NAKAYAMA

Keyword(s):

First Passage ◽

Accurate Evaluation ◽

First Passage Failure ◽

Failure Probabilities

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First-passage failure of quasi-non-integrable-Hamiltonian systems

International Journal of Non-Linear Mechanics ◽

10.1016/s0020-7462(00)00006-8 ◽

2001 ◽

Vol 36 (2) ◽

pp. 209-220 ◽

Author(s):

C.B. Gan ◽

W.Q. Zhu

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

First Passage ◽

First Passage Failure

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First-passage failure of linear oscillator with non-classical inelastic impact

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.09.036 ◽

2018 ◽

Vol 54 ◽

pp. 284-297 ◽

Author(s):

Ming Xu

Keyword(s):

Linear Oscillator ◽

First Passage ◽

Inelastic Impact ◽

First Passage Failure

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First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping

Acta Mechanica ◽

10.1007/s00707-011-0533-8 ◽

2011 ◽

Vol 222 (3-4) ◽

pp. 245-260 ◽

Author(s):

Lincong Chen ◽

Qingqu Zhuang ◽

Weiqiu Zhu

Keyword(s):

Fractional Derivative ◽

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

First Passage ◽

First Passage Failure ◽

Fractional Derivative Damping

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Break-out of dynamic balance of nonlinear ecosystems using first passage failure theory

Nonlinear Dynamics ◽

10.1007/s11071-015-1951-2 ◽

2015 ◽

Vol 80 (3) ◽

pp. 1403-1411 ◽

Author(s):

S. L. Wang ◽

X. L. Jin ◽

Z. L. Huang ◽

G. Q. Cai

Keyword(s):

Dynamic Balance ◽

First Passage ◽

Failure Theory ◽

First Passage Failure

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First-passage failure of quasi linear systems subject to multi-time-delayed feedback control and wide-band random excitation

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2008.04.002 ◽

2009 ◽

Vol 24 (2) ◽

pp. 144-150 ◽

Author(s):

X.P. Li ◽

Z.H. Liu ◽

W.Q. Zhu

Keyword(s):

Feedback Control ◽

Linear Systems ◽

Wide Band ◽

Random Excitation ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

First Passage ◽

First Passage Failure ◽

Time Delayed Feedback

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First-Passage Time for Oscillators With Nonlinear Damping

Journal of Applied Mechanics ◽

10.1115/1.3424223 ◽

1978 ◽

Vol 45 (1) ◽

pp. 175-180 ◽

Author(s):

J. B. Roberts

Keyword(s):

First Passage Time ◽

Digital Simulation ◽

Planck Equation ◽

Passage Time ◽

Nonlinear Damping ◽

First Passage ◽

One Dimensional ◽

Fokker Planck Equation ◽

First Passage Failure ◽

A simple numerical scheme is proposed for computing the probability of first passage failure, P(T), in an interval O-T, for oscillators with nonlinear damping. The method depends on the fact that, when the damping is light, the amplitude envelope, A(t), can be accurately approximated as a one-dimensional Markov process. Hence, estimates of P(T) are found, for both single and double-sided barriers, by solving the Fokker-Planck equation for A(t) with an appropriate absorbing barrier. The numerical solution of the Fokker-Planck equation is greatly simplified by using a discrete time random walk analog of A(t), with appropriate statistical properties. Results obtained by this method are compared with corresponding digital simulation estimates, in typical cases.

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