基于微粒群算法的区间模型非概率可靠性指标的计算

摘要

把工程实际中的不确定参数考虑为区间变量，研究基于微粒群算法的区间模型非概率可靠性指标的计算。利用非概率可靠性指标只存在于过标准化区间变量张成的空间顶点和原点的直线与功能函数的交点，建立基于微粒群算法的优化模型，并对目标函数进行改进，使其更利于优化计算。一系列数值算例和与以前方法的比较证明了该方法计算简便，结论较为精确，具有一定的可行性。%The uncertain parameters in engineering is considered as interval variables and the non‐probabi‐listic reliability index of interval model based on particle swarm optimization is studied .Based on the conclusions that the non‐probabilistic reliability index exists only in the line w hich through the vertex and the origin in the space extended by the standard interval variables and function ,establish the optimi‐zation model based on PSO and improve the objective function to make it more conducive to calculate . Through a series of numerical examples and comparison with previous methods ,the method is proved to be simple and accurate ,and it has a certain feasibility .