基于ICM方法的刚架拓扑优化  

Topological optimization of frame based on ICM method

作　　者：隋允康[1] 任旭春[2] 龙连春[1] 叶宝瑞[1] 

机构地区：[1]北京工业大学机电学院,北京100022 [2]清华大学力学系,北京100084

出　　处：《计算力学学报》2003年第3期286-289,共4页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10072005);北京市自然科学基金(3002002)资助项目.

摘　　要：将ICM(独立、连续、映射)优化方法应用于刚架结构,建立了以重量为目标函数、考虑多工况下应力和位移约束的刚架结构拓扑优化模型。借助于磨光函数和过滤函数,实现了离散变量和连续变量之间的相互转换。考虑多工况应力拓扑解之间、应力和位移约束下拓扑解之间的协调,得到了合理的结果。文中给出的刚架结构拓扑优化算例表明,刚架结构的拓扑结构不同于桁架或连续体。The ICM (Independent, Continuous and Mapping) method was applied to the frame structures. A topological optimization model for the frame structures under the multi-loading cases was established, which takes the weight as an objective function and is subjected to the stress and displacement constraints. By using the smooth function and the filter function, the discrete variables and the continuous variables were transformed conveniently. The synthesized coordination between the topological solutions with the stress and displacement constraints under the multi-loading cases was considered. Numerical results show that the optimized frame structures which are different from trusses are reasonable.

关 键 词：ICM方法 刚架结构 拓扑优化 独立-连续-映射优化方法 

分 类 号：TU337[建筑科学—结构工程]