西南交通大学学报2011，Vol.46Issue(5)：847-852,6.DOI:10.3969/j.issn.0258-2724.2011.05.023
粒子群算法在结构非概率可靠性优化中的应用
Application of Particle Swarm Optimization to Structural Non-probabilistic Reliability Optimization
摘要
Abstract
In order to solve the reliability optimization problem of uncertainty structures in actual engineering, an optimization model was established to minimize the structure mass with the constraints of its non-probabilistic reliability index and cross-sectional area. The non-probabilistic reliability index was derived using the convex model method for the probability set theory, and a method for structural non-probabilistic reliability optimization was proposed based on particle swarm optimization ( PSO ). The results of an application example show that the structure mass relative error between the uncertainty optimization method and the deterministic optimization method is barely 0. 009% , when deterministic optimization parameters take average value and the expected non-probabilistic reliability index is zero. The cross-sectional area and mass of the truss structure increase with an increase in the expected non-probabilistic reliability index. When the expected non-probabilistic reliability index is 1.5, the structure mass obtained by the proposed optimization method is decreased by 0. 323% compared with that by the gradient projection method.关键词
粒子群算法/凸模型/非概率可靠性优化/可靠性指标Key words
particle swarm optimization/ convex model/ non-probabilistic reliability optimization/ reliability index分类
建筑与水利引用本文复制引用
郑严,程文明,程跃,张则强..粒子群算法在结构非概率可靠性优化中的应用[J].西南交通大学学报,2011,46(5):847-852,6.基金项目
国家自然科学基金资助项目(51175442) （51175442）
中央高校基本科研业务费专项资金资助项目(2010ZT03) （2010ZT03）
