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Stochastic dynamic responses and reliability analysis of nonlinear system based on K-L decomposition and TVD finite difference method

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Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability

Published online on

Abstract

Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, Volume 240, Issue 2, Page 599-624, April 2026.
Aiming at the problems of long computation time and complex probability density evolution rate of dynamic stochastic reliability solving methods for nonlinear dynamic systems, a finite difference method based on Karhunen-Loève (K-L) decomposition and ...