Dynamic reliability of high-dimensional stochastic systems involving parametric uncertainties and nonstationary stochastic excitations

Abstract

Engineering structures and systems involving parametric uncertainties and nonstationary stochastic excitations are widely encountered in engineering fields. However, the response analysis and reliability evaluation of such systems in high dimension has been long time great challenges due to the coupling of nonlinearity and randomness. In the present lecture, a physically-driven probability density evolution method (PDEM) will be outlined. In particular, the dimension-reduced probability density evolution equation (DR-PDEE) has been established for high-dimensional nonlinear systems with or without parametric uncertainties, subjected to either additive or multiplicative excitations, being path-continuous or path-discontinuous. Besides, to quantifying the uncertainty of structural parameters full probabilistically, a new model for multi-variable random fields with between-variable nonlinear correlations was also developed and incorporated. The approach could then be applied to reliability evaluation of real-world large complex structures subjected to disastrous dynamic actions. Problems to be further studied will also be discussed.

Bio

Jianbing Chen is currently University Distinguished Professor of Tongji University in the College of Civil Engineering. He specializes in the area of damage and failure analysis of complex structures, uncertainty quantification, stochastic mechanics, reliability and optimization of engineering structures and systems. Dr. Chen published 4 books and over 210 peer-reviewed journal papers, including the book titled “Stochastic Dynamics of Structures” published by John Wiley & Sons in 2009. He received the National Natural Science Award of China (2016), the 2017 IASSAR Early Achievement Award, the National Science Fund for Distinguished Young Scholars (2017), and the Humbodlt Research Award in 2023. He serves as the Chairman of the Executive Board of the International Association for Structural Safety and Reliability (IASSAR), member of Board of Directors of the International Civil Engineering Risk and Reliability Association (CERRA), the reporter of WP1 and Board member of the International Joint Committee on Structural Safety (JCSS), and the Vice President of the Chinese Soceity for Vibration Engineering, and as associate editors or editorial board members of the international journals including Structure and Infrastructure Engineering, Structural Safety, Probabilistic Engineering Mechanics, Reliability Engineering and System Safety, etc. Dr. Chen has been invited to give invited/keynote lectures for more than 30 times on international/national conferences.