Fatigue dynamic reliability and global sensitivity analysis of double random vibration system based on Kriging model

Abstract

ABSTRACT In this paper, the dynamic reliability and global sensitivity analysis method of double random vibration system is proposed, considering structure uncertainty and excitation uncertainty of complex mechanical and structural systems under random load. Based on the Miner criterion of fatigue failure of structures, the dynamic responses of structures under the condition of double random vibration are analyzed, and the dynamic reliability analysis method is established. Furthermore, the moment-independent global sensitivity index of random structures is proposed, which can quantitatively reflect the effects of random structure parameters on dynamic reliability under random excitation and provide reference for structure reliability optimization design. Based on the proposed dynamic reliability moment-independent global sensitivity analysis (GSA) index, this paper combines the computationally efficient active learning Kriging (ALK) method to establish the solving method. Finally, the rationality and correctness of the dynamic reliability GSA index and the ALK method proposed in this paper are illustrated by comparing the results with those gained by Monte Carlo simulation (MCS) method. The results prove that the GSA has significantly guided meaning and referenced value in the dynamic reliability design and optimization for the double random vibration system, especially for the engineering practice.