A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method

•A unified framework of static/dynamic reliability analysis is established based on direct probability integral method (DPIM).•New formula to determine smoothing parameter of Dirac function is suggested.•Two DPIM-based approaches for dynamic reliability analysis are proposed.•Example of nonlinear dy...

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Bibliographic Details
Published in:	Mechanical systems and signal processing Vol. 158; p. 107783
Main Authors:	Chen, Guohai, Yang, Dixiong
Format:	Journal Article
Language:	English
Published:	Berlin Elsevier Ltd 01.09.2021 Elsevier BV
Subjects:	Adaptive smoothing of Dirac delta function Delta function Direct probability integral method Extreme values First passage dynamic reliability Integral equations Model updating Monte Carlo simulation Parameters Probability density functions Probability theory Random excitation Reliability analysis Reliability aspects Reliability engineering Sampling Smoothing Static and dynamic structures Stochastic models Structural reliability Reliability analysis First passage dynamic reliability Direct probability integral method Adaptive smoothing of Dirac delta function Static and dynamic structures
ISSN:	0888-3270, 1096-1216
Online Access:	Get full text
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