摘要
提出了一种基于单元材料特性更改的结构渐进拓扑优化方法,通过定义设计区域内单元的存在状态为设计变量,以结构的材料用量为约束条件,实现了线弹性结构拓扑优化设计。该方法采用承载能力很弱的各向同性实体单元(弹性模量和密度均很小)代替结构实体单元,实现单元的拓扑变化,即单元的删除是将实体单元改变为弹性模量和密度很小的单元。单元删除取决于由灵敏度分析得到的每个单元对结构性能的贡献。同时结合了灵敏度再分配技术控制棋盘格式,使各单元对结构性能的贡献或影响因子实现平滑过渡。算例表明,本文的单元材料特性更改的结构渐近拓扑优化方法与灵敏度再分配棋盘格式控制技术相结合的方法,可以得到边界清晰、结构合理的拓扑优化构形。
In the present paper, the element＇s properties changing method（EPCM） is applied to evolutionary structured topology optimization. This method uses the void elements with small carrying capacity elements whose elastic modulus and density are very small to replace solid elements. An dement deletion means that a solid element is changed into a small carrying capacity element. The deletion depends upon, in fact, sensitivity analysis results that indicate the contribution of each dement to the whole structural performance. Moreover, a sensitivity redistribution method（SRM） in combination with the above method is also used to control checkerboard patterns so as to have a smooth transition of each element＇s contribution to the whole structural performances. Numerical instances show that the ESO method can have topology optimization with a clear boundary and reasonable structures by combining the EPCM method with the SRM technology.
出处
《机械科学与技术》
CSCD
北大核心
2006年第8期928-931,共4页
Mechanical Science and Technology for Aerospace Engineering
关键词
拓扑优化
棋盘格式
灵敏度再分配
topology optimization
checkerboard pattern
sensitivity redistribution
