Aerospace structural reliability analysis method based on regular vine copula model with the asymmetric tail correlation

LIU, Xin; LAI, Hao; Wang, Xinyu; Song, Xueguan; LIU, Kai; WU, Shaowei; LI, Qiqi; WANG, Fang; ZHOU, Zhenhua

doi:10.1016/j.ast.2023.108670

Cited by 5 publications

(1 citation statement)

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“…Coordinate space conversion refers to converting random variables subject to various probability distributions into variables subject to a standard normal distribution by the Rosenblatt method [45]. Suppose the random variable follows the normal distribution with mean value and standard deviation value, then the random variable transformed by the Rosenblatt method is…”

Section: The Combination Of Intelligent Algorithmsmentioning

confidence: 99%

A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties

Yang,

Wang,

et al. 2023

Mathematics

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As engineering systems become increasingly complex, reliability-based design optimization (RBDO) has been extensively studied in recent years and has made great progress. In order to achieve better optimization results, the mathematical model used needs to consider a large number of uncertain factors. Especially when considering mixed uncertainty factors, the contradiction between the large computational cost and the efficiency of the optimization algorithm becomes increasingly fierce. How to quickly find the optimal most probable point (MPP) will be an important research direction of RBDO. To solve this problem, this paper constructs a new RBDO method framework by combining an improved particle swarm algorithm (PSO) with excellent global optimization capabilities and a decoupling strategy using a simulated annealing algorithm (SA). This study improves the efficiency of the RBDO solution by quickly solving MPP points and decoupling optimization strategies. At the same time, the accuracy of RBDO results is ensured by enhancing global optimization capabilities. Finally, this article illustrates the superiority and feasibility of this method through three calculation examples.

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Section: The Combination Of Intelligent Algorithmsmentioning

confidence: 99%