连续体结构拓扑优化探讨与应用  

Study and Application of Continuum Topology Optimization

作　　者：黄振晖[1] 马纪军[1] 杨玉森[2] 曾繁波[2] 陈秉智[2] 

机构地区：[1]中国北车集团唐山轨道客车有限责任公司,河北唐山063035 [2]大连交通大学交通运输工程学院,辽宁大连116028

出　　处：《大连交通大学学报》2013年第2期57-59,共3页Journal of Dalian Jiaotong University

基　　金：国家自然科学基金资助项目(11272070);国家科技支撑计划资助项目(2009BAG2A04-04);国际科技合作资助项目(2010DFB80050);铁道部科技计划资助项目(2011J013-E)

摘　　要：以连续体结构为研究对象,对拓扑优化的插值方法、求解算法等进行了简单的探讨,将变密度法和优化准则法成功的应用到连续体结构的拓扑优化设计中.应用变密度法建立结构的拓扑优化数学模型减少了设计变量的数量;采用最优化准则法进行求解提高了计算效率.最后计算并讨论了双工况梁和MBB梁的拓扑结构模拟,取得了较理想的拓扑结果,达到了增强刚度、减轻结构质量的目的.Taking the continuum structure as an example,the interpolation method is discussed for topology optimization and algorithm,and the density method is successfully applied in the topological optimization of the continuum structure as well as the ptimization criterion.The amount of the design variables is reduced with the application of the topological optimization model of structure established through the density method,and the computational efficiency is improved as the optimization criteria is taken for solution.Then,several examples are presented,including the duplex state beam and the MBB beam for the simulation topology with a perfect topology result.At last,the structural mass is reduced,and the stiffness is enhanced.

关 键 词：连续体结构 拓扑优化 变密度法 优化准则法 

分 类 号：TH122[机械工程—机械设计及理论]