First-passage probability estimation of high-dimensional nonlinear stochastic dynamic systems by a fractional moments-based mixture distribution approach

Author:

Ding Chen,Dang ChaoORCID,Valdebenito Marcos A.ORCID,Faes Matthias G.R.ORCID,Broggi MatteoORCID,Beer MichaelORCID

Funder

Agenția Națională pentru Cercetare și Dezvoltare

Fondo Nacional de Desarrollo Científico y Tecnológico

China Scholarship Council

Horizon 2020

Agencia Nacional de Investigación y Desarrollo

Horizon 2020 Framework Programme

European Innovation Council

Publisher

Elsevier BV

Subject

Computer Science Applications,Mechanical Engineering,Aerospace Engineering,Civil and Structural Engineering,Signal Processing,Control and Systems Engineering

Reference49 articles.

1. The Fokker-Planck Equation: Methods of Solution and Applications;Risken,1989

2. First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation;Lyu;Probab. Eng. Mech.,2021

3. Mathematical analysis of random noise;Rice;Bell Syst. Tech. J.,1945

4. Monte Carlo methods for estimating the extreme response of dynamical systems;Naess;J. Eng. Mech.,2008

5. An approximation of the first passage probability of systems under nonstationary random excitation;He;Appl. Math. Mech.,2009

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