自由曲面形状和拓扑联合优化研究  

Combined shape and topology optimization of free-form structure

作　　者：马腾[1] 赵兴忠[1,2] 高博青[1] 吴慧[3] 

机构地区：[1]浙江大学空间结构研究中心,浙江杭州310058 [2]中国中元国际工程有限公司,北京100089 [3]浙江财经大学城乡规划与管理学院,浙江杭州310018

出　　处：《浙江大学学报（工学版）》2015年第10期1946-1951,共6页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金面上项目(51378457);高等学校博士学科点专项科研基金资助项目(20120101110023);浙江省自然科学基金资助项目(Y15E08004)

摘　　要：为了得到形状与拓扑这两大因素共同影响下的自由曲面形状和拓扑的最优解,以结构鲁棒性为优化目标,将自由曲面的形状和拓扑同时作为优化的变量,采用差分演化算法进行优化求解,实现了全局最优的曲面形状和网格拓扑.算例表明,与形状和拓扑优二者分开优化相比,优化得到的该结构鲁棒性更高,结构力学性能更优,求得的曲面形状和网格拓扑能够有效地抵抗所对应的荷载,体现结构的主要传力路径.Shape and topology of free-form grid structures were simultaneously considered in order to reach the global optimum shapes and topologies.Optimum structural robustness was set to be the objective while parameters to define the structural shape and topology were taken as design variables.A differential evolution algorithm was used to solve the combined optimization problem.Global optimum shapes and topologies of free-form structures were obtained.The obtained results were compared with those achieved by optimizing solely shape or topology.Results showed that more robust structures with better mechanical properties were obtained,which implied the superiority of the method.The optimized structures were more efficient in carrying the load,and the resulted shape and topology clearly revealed the main force transferring paths.

关 键 词：自由曲面结构 形状和拓扑 鲁棒性 联合优化 

分 类 号：TU393[建筑科学—结构工程]