Two-parameter Optimization Design Point-based Reliability Analysis Algorithm for Structures with Mixed Uncertainty

被引：0
|
作者：
Qiu T. [1 ,2 ]
Zhang J. [1 ,2 ]
Qiu J. [1 ,3 ]
Wei J. [1 ,2 ]
You L. [1 ,2 ]
机构：
[1] School of Reliability and Systems Engineering, Beihang University, Beijing
[2] Science and Technology on Reliability and Environmental Engineering Laboratory, Beihang University, Beijing
[3] China Ordnance Industrial Standardization Research Institute, Beijing
来源：
Binggong Xuebao/Acta Armamentarii | 2019年 / 40卷 / 04期
关键词：
Adjusting parameter; Interval; Mixed uncertainty; Optimization design point; Sequence iteration; Structural reliability;
D O I：
10.3969/j.issn.1000-1093.2019.04.022
中图分类号：
学科分类号：
摘要：
A mixed reliability analysis algorithm based on two parameters is proposed for the mixed reliability problem of mechanical structure with random variables and interval variables. Interval variables make the reliability analysis problem become a double-loop optimization problem. In order to reduce the influence of double-loop optimization model on computational efficiency, it is decoupled into a high-efficiency sequence iterative model for probability and interval analysis. In order to optimize design point, two adjusting parameters are introduced to control the search step length and the search direction, respectively, in probability analysis, which ensures the convergence stability and the search efficiency. The interval analysis problem is transformed into a more solvable quadratic programming problem, and the gradient projection method is used to search for the interval optimum point. The analyzed results of two cases show that the relative error of maximun failure probability calculated by the proposed algorithm is within 5%, and the number of function calls can reach convergence within 1000 times compared with Monte Carlo sampling. When the performance function has a high degree of nonlinearity, the proposed algorithm also has high calculation accuracy, efficiency and convergence stability. © 2019, Editorial Board of Acta Armamentarii. All right reserved.
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页码：865 / 873
页数：8
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