摘要
采用证据理论作为传统概率的替代方法处理不精确的数据信息,提出了基于证据理论的可靠性优化设计方法.该方法针对给定的失效概率许用值Pf,通过计算证据理论的不确定测度Pl(F),以Pl(F)<Pf作为可靠性约束条件的替代模型进行可靠性优化设计.为了降低基于证据理论不确定量化分析的计算成本,引入微分演化优化算法计算区间边界值.以典型桁架结构形状优化问题为例,验证了所提出方法的准确性和有效性.
A new method of reliability design optimization using the evidence theory was proposed. Ev- idence theory was presented as an alternative to the classical probability theory to handle the imprecise data situation. The plausibility measure PI（F） based on evidence theory, with PI（F）〈Pf for a preconcerted failure probability Pf, was used as a surrogate modal of reliability constraint in the reliability design opti- mization. In order to alleviate computational difficulties in the evidence theory based uncertainty quantifi- cation analysis, a differential evolution based interval optimization for computing bounds method was de- veloped. A typical truss structure shape optimization with epistemic uncertainties was investigated to dem- onstrate the accuracy and efficiency of the proposed method.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2014年第4期33-38,共6页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(51178337
50708076)
科技部国家重点实验室基础研究项目(SLDRCE11-B-01)
同济大学土木工程学院光华基金资助项目
关键词
证据理论
微分演化
可靠性优化设计
形状优化
evidence theory
differential evolution
reliability design optimization
shape optimization
