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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Veröffentlicht in:	Mechanical systems and signal processing 2021-09, Vol.158, p.107783, Article 107783
Hauptverfasser:	Chen, Guohai, Yang, Dixiong
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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