基于变密度法的连续体结构拓扑优化后处理方法研究  

RESEARCH ON POST-PROCESSING METHOD OF CONTINUUM STRUCTURE TOPOLOGY OPTIMIZATION BASED ON VARIABLE DENSITY METHOD

作　　者：张国锋 徐雷[1] 王鑫[1] 肖乃鑫 ZHANG GuoFeng;XU Lei;WANG Xin;XIAO NaiXin(School of Mechanical Engineering,Sichuan University,Chengdu 610065,China)

机构地区：[1]四川大学机械工程学院,成都610065

出　　处：《机械强度》2022年第4期845-851,共7页Journal of Mechanical Strength

基　　金：四川省重大科技专项(2020ZDZX0013)资助。

摘　　要：变密度法因设计变量少、效率高等优点,已成为解决连续体结构拓扑优化问题的一种有效方法。针对变密度法在优化过程中常出现灰度单元及锯齿形边界的问题,提出了一种变密度法的连续体拓扑优化后处理方法,通过对拓扑优化模型进行二值化处理并提取锯齿形边界线,获取目标离散角点集,将其作为样本点进行曲线拟合,得到边界光滑的优化结构。实验结果表明,该方法在保证结构性能在许用范围之内的前提下,有效避免了优化结果锯齿形边界及中间密度等现象的产生,使优化结果的可制造性能得以提升。The variable density method has become an effective method to solve the topology optimization problem of continuum structure due to its advantages such as few design variables and high efficiency.Aiming at the problem of the gray unit and sawtooth boundary in the optimization process of the variable density method,a post-processing method of variable density method for continuum topology optimization is proposed in this paper.The topology optimization model is binarized and the sawtooth shape boundary line is extracted,and the target discrete corner point set is obtained,used as the sample point for curve fitting to obtain the optimized structure with smooth boundary.Experimental results show that this method effectively avoids the zigzag boundary and intermediate density of the optimization result,and improves the manufacturability of the optimization result under the premise of ensuring that the structural performance is within the allowable range.

关 键 词：连续体 变密度法 后处理 曲线拟合 

分 类 号：TH122[机械工程—机械设计及理论]