基于减基法的结构静态极值响应快速计算方法

摘要

针对参数化结构系统的响应极值问题，提出了一种适用于快速分析结构静态响应极值的计算方法。该方法在有限元模型基础上，利用减基法原理建立减缩的优化模型，并结合遗传算法快速、准确地获取结构在测点处的静态响应极值，同时，为了更贴近工程应用，在建立优化模型和设计优化步骤时，考虑了求解多测点情况下的最大静态响应极值。算例分析和结果比较，表明该方法在保证响应极值求解精度的同时，具有极大的时效性。%A suitable method based on the reduced basis conception,is proposed for efficiently analyzing and computing the structural static extreme response.In this method,the finite element model is estab-lished firstly,and then the reduced basis method and genetic algorithm are used together to construct a reduced optimization model,which could rapidly obtain the structural static extreme response at single-observation point.To further improve engineering application of this method,the largest extreme dis-placement response under multi-observation-point situation is taken into consideration in development of the optimization model and procedure.The examples in this paper demonstrate the high accuracy and efficiency of this method.