期刊
APPLIED MATHEMATICAL MODELLING
卷 76, 期 -, 页码 428-442出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.06.022
关键词
Structural reliability analysis; Three-term conjugate search direction; Conjugate first-order reliability method; Sufficient descent condition
资金
- University of Zabol [UOZ-GR-9618-1]
- National Natural Science Foundation of China [11672070]
- Sichuan Provincial Key Research and Development Program [2019YFG0348]
In this paper, a nonlinear conjugate structural first-order reliability method is proposed using three-term conjugate discrete map-based sensitivity analysis to enhance convergence properties as stable results and efficient computational burden of nonlinear reliability problems. The concept of finite-step length strategy is incorporated into this method to enhance the stability of the iterative formula for highly nonlinear limit state function, while three-term conjugate search direction combining with a finite-step size is utilized to enhance the efficiency of the sensitivity vector in the proposed iterative reliability formula. The proposed three-term discrete conjugate search direction is developed based on the sufficient descent condition to provide the stable results, theoretically. The efficiency and robustness of the proposed three-term conjugate formula are investigated through several nonlinear/complex structural examples and are compared with several modified existing iterative formulas. Comparative results illustrate that the three-term conjugate-based finite step length formula provides superior efficiency and robustness than other studied methods. (C) 2019 Elsevier Inc. All rights reserved.
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