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.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
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.
