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.
A new reliability analysis technique based on evidence theory that can efficiently 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.
出处
《力学学报》
EI
CSCD
北大核心
2013年第1期103-115,共13页
Chinese Journal of Theoretical and Applied Mechanics
基金
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)
霍英东教育基金会高等院校青年教师基金(131005)资助项目)~~
关键词
结构可靠性
证据理论
区间分析
认知不确定性
structural reliability, evidence theory, interval analysis, epistemic uncertainty
