一种基于证据理论的结构可靠性分析方法

姜潮; 张哲; 韩旭; 白影春

doi:10.6052/0459-1879-12-040

一种基于证据理论的结构可靠性分析方法

doi: 10.6052/0459-1879-12-040

汽车车身先进设计制造国家重点实验室, 湖南大学机械与运载工程学院, 长沙410082

基金项目: 国家自然科学基金(11172096); 国家重点基础研究发展计划(2010CB832700); 教育部新世纪优秀人才支持计划(NCET-11-0124) 和霍英东教育基金会高等院校青年教师基金(131005) 资助项目.

详细信息

通讯作者:
姜潮

中图分类号: TB114.3
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出版历程
- 收稿日期: 2012-02-16
- 修回日期: 2012-06-06
- 刊出日期: 2013-01-18

AN EVIDENCE-THEORY-BASED RELIABILITY ANALYSIS METHOD FOR UNCERTAIN STRUCTURES

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China

Funds: The project was supported by the National Natural Science Foundation of China (11172096), the National Basic Research Program (2010CB832705), the Program for New Century Excellent Talents in University (NCET-11-0124) and Fok Ying-Tong Education Foundation for Young Teachers in the higher Education Institutions of China (131005).

摘要

摘要: 提出了一种基于证据理论的结构可靠性高效求解方法. 通过构造优化问题求解极限状态方程的非概率可靠性指标及设计验算点, 并构造一辅助区域. 通过辅助区域显著减少需要进行极值分析的焦元个数, 并基于区间分析方法减少焦元上极限状态方程的计算次数, 从而有效降低计算成本. 数值算例及工程应用验证了该方法的有效性.
- 结构可靠性 /
- 证据理论 /
- 区间分析 /
- 认知不确定性
Abstract: A new reliability analysis technique based on evidence theory that can effciently reduce the computational cost is developed for uncertain structures. In this method, a design optimization is introduced to obtain the non-probability index and a design point, and an assistant area is constructed. Through the assistant area, it can markedly reduce the number of focal elements with extreme analysis. Moreover, the computation number of the limit-state function decreases with the help of interval analysis method. Numerical examples and engineering problems are used to demonstrate the effectiveness of the proposed method.
- structural reliability /
- evidence theory /
- interval analysis /
- epistemic uncertainty

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