华侨大学学报（自然科学版）
華僑大學學報（自然科學版）
화교대학학보（자연과학판）
JOURNAL OF HUAQIAO UNIVERSITY(NATURAL SCIENCE)
2014年
3期
327-331
,共5页
结构优化%拓扑优化%类桁架材料%应力约束%平面连续体
結構優化%拓撲優化%類桁架材料%應力約束%平麵連續體
결구우화%탁복우화%류항가재료%응력약속%평면련속체
topology optimization%structural optimization%truss-like material%stress constraint%planar continuum
为了避免棋盘格、单元铰接等数值不稳定现象，研究了基于类桁架模型的连续体拓扑优化方法。将单元节点处材料密度的大小和方向作为设计变量，采用满应力优化准则对材料密度大小进行优化。为了形成带孔洞的匀质连续体，对设计变量增加了上下限约束，剔除密度低于一定下限的节点，限制节点密度。算例结果表明：不需要进一步处理，就能从类桁架连续体中获得清晰的带孔板。
為瞭避免棋盤格、單元鉸接等數值不穩定現象，研究瞭基于類桁架模型的連續體拓撲優化方法。將單元節點處材料密度的大小和方嚮作為設計變量，採用滿應力優化準則對材料密度大小進行優化。為瞭形成帶孔洞的勻質連續體，對設計變量增加瞭上下限約束，剔除密度低于一定下限的節點，限製節點密度。算例結果錶明：不需要進一步處理，就能從類桁架連續體中穫得清晰的帶孔闆。
위료피면기반격、단원교접등수치불은정현상，연구료기우류항가모형적련속체탁복우화방법。장단원절점처재료밀도적대소화방향작위설계변량，채용만응력우화준칙대재료밀도대소진행우화。위료형성대공동적균질련속체，대설계변량증가료상하한약속，척제밀도저우일정하한적절점，한제절점밀도。산례결과표명：불수요진일보처리，취능종류항가련속체중획득청석적대공판。
In order to apply the truss-like model in the topology optimization of continuum and to avoid some numerical instability phenomenon like checkerboard and elements hinge,the topology optimization method of continuum based on truss-like model was investigated.The densities and orientations of material at nodes were taken as design variables.The densities of material were optimized by fully-stressed criteria.In order to form homogenous continuum with holes,the material with densities below the given critical value was removed,densities above upper limit are limited.Numerical ex-amples show that plate with distinct holes can be obtained from the truss-like continua without further process.
