基于连续体拓扑优化的大型基座轻量化设计

Based on the Continuum Topology Optimization of the Large Base Lightweight Design

拓扑优化设计能在给定约束和边界条件下,获得最优的材料布局。研究了连续体结构拓扑优化在大型基座轻量化设计中的应用。介绍了连续体拓扑优化原理,建立了拓扑优化的数学模型;对某大型经纬仪的基座进行连续体拓扑优化设计,获得基座的最优材料分布结果;以拓扑优化结果呈现的材料分布特征为依据,用空心方钢管构建桁架结构基座,完成轻量化基座的设计;对设计结果进行有限元分析,结果表明,轻量化基座与传统铸造结构基座相比,在保证静力载荷变形不变的情况下,可减重357.4kg,轻量化率为27.8%。

Topology optimization could give the optimized distribution of material when given constrains and boundary condilions.l.ightweight design of large base using results of topology optimization of continuum structure is investigated. The theory of continuum topology optimization is introduced, and mathematical model of topology optimization is estab lished.Then make topology optimization design to the base of a large theodolite and obtain its optimal material distribu- lion.Based on the features of material distribution, design welded truss base using square steel tube.Results of finite ele ment analysis to the truss base show that, comparing to the traditional cast structure, the lightweight base can lose 357.4kg and lightweight ration is 27.8% without changing the static displacement.