基于节点密度的自适应EFG法拓扑优化方法研究  

STUDY ON TOPOLOGY OPTIMIZATION METHOD OF ADAPTIVE EFG METHOD BASED ON NODAL DENSITY

作　　者：杜义贤[1,2] 陈德[1] 胡金润[1] 方子帆[1] 田启华[1] 

机构地区：[1]三峡大学机械与动力学院,宜昌443002 [2]水电机械设备设计与维护湖北省重点实验室(三峡大学),宜昌443002

出　　处：《固体力学学报》2014年第2期160-166,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(51105229);湖北省自然科学杰出青年基金项目(2103CFA022)资助

摘　　要：针对无网格法拓扑优化中设计变量庞大、计算效率低的问题,提出了基于节点密度的自适应EFG拓扑优化方法.该方法以节点相对密度为设计变量,建立了以结构柔度最小为优化目标的自适应EFG拓扑优化模型,给出了拓扑优化中自适应节点加密准则、节点加密方法和新增节点设计变量更新规则.算例结果表明,采用论文提出的自适应EFG拓扑优化方法进行结构拓扑优化时,可以减少结构分析和优化的设计变量数目,提高优化效率.To solve the problems of huge number of variables and low efficiency in the topology opti- mization of the meshless method,an adaptive EFG topology optimization method based on the node density was proposed in this contribution. By adopting the nodal density as design variables in the topology optimi- zation,an adaptive EFG topology optimization model was established with minimizing the compliance of the structure, and the adaptive node refinement criteria, the node refinement scheme and the added nodes varia- bles updating rule were described in detail. Numerical examples showed that the proposed method could re- duce the number of the design variables and improve the efficiency of optimization.

关 键 词：拓扑优化 无网格伽辽金法 自适应 节点加密准则 节点加密方法 设计变量更新规则 

分 类 号：O241.82[理学—计算数学]