基于混沌粒子群算法的结构可靠性优化设计

摘要

For the premature convergence problem of the particle swarm optimization (PSO), the chaos particle swarm optimization (CPSO) was adopted to the theory of structural reliability optimization.Dynamically contracted search fields, both of the PSO and the chaos optimization's search properties were brought into full play.Optimization model minimized structure weight was established to meet the requirement of structural system reliability, and the structural reliability optimal design method was presented on the basis of CPSO.The optimization method was used to optimize frame construction.The results show that using the structural reliability optimal design can get much better results than those by the PSO and the best vector method.This optimization method is easy to implement, and it has better stability,moreover, this method has better practical value and exploitation ability in engineering problem.%针对基本粒子群算法的早熟问题,充分运用混沌优化与粒子群优化的搜索特性,动态收缩搜索区域,将混沌粒子群算法应用到结构可靠性优化理论,建立结构系统可靠度约束下最小化结构质量的优化模型,提出基于混沌粒子群算法的结构可靠性优化设计方法.利用该优化方法进行框架结构优化设计.研究结果表明:运用所提出的可靠性优化设计所得结果显著优于运用基本粒子群算法和最佳矢量型算法所得结果;该方法易于实现,稳定性好,具有较好的工程实用价值和较强的开发能力.