基于ESO法的九宫板阻尼结构的优化设计方法  

Topological optimization design of 3×3 grid stiffened panel with additional damping layers based on evolutionary structural optimization

作　　者：刘双燕[1] 李玉龙[1] 邓琼[1] 徐一航[1] 

机构地区：[1]西北工业大学航空学院结构工程系先进结构和材料研究所,西安710072

出　　处：《振动与冲击》2016年第22期197-203,共7页Journal of Vibration and Shock

基　　金：陕西省科技研究发展攻关计划(2009K01-39);陕西省科技研究发展攻关计划(2012GY2-26)

摘　　要：利用渐进结构拓扑优化方法(Evolution Structural Optimization,ESO),以约束阻尼层质量为约束条件,以最大模态损耗因子为目标函数,编制了ESO法的可执行程序,并基于ABAQUS软件建模,开展了九宫板约束阻尼层的拓扑优化研究。发现随着约束阻尼层的删除率增大,结构模态损耗因子逐渐增至最大值后降低。而随着删除率的增大,结构单位质量阻尼性能逐渐增大,可见优化布局可以提高九宫板结构的抑振性能。为研究优化布局对结构应力分布的影响,模拟了多种振动工况下,优化前后九宫板结构的Mises应力分布云图及其最大应力,结果发现优化布局后九宫板结构Mises应力分布影响很小,且最大Mises应力值得到有效降低。并将该方法应用在一般复杂结构的优化设计,实现了较少阻尼性能损失达到减重的目的,具有重要的工程实用性。The topological optimization design of a 3 ×3 grid stiffened panel was conducted using the Evolutionary Structural Optimization （ESO）method with the amount of constrained damping layers as a constraint condition,and the maximization of modal loss factor as a target function.The optimization was completed by using a self-coded C program based on ESO method,and by applying the ABAQUS software to model the structure.The results show that along with the increase of the removal ratio of constrianed damping layers,the modal damping loss factor of the compound 3 ×3 grid stiffened panel remains unchanged at first,then increases to its maximum value and thereafter gradually decreases. Moreover,normalized first modal loss factor of the 3 ×3 grid stiffened panel with specialized additional damping layers becomes bigger and bigger,which shows that the additional damping layers in the middle portion of the panel contribute much to the suppressing of structural vibration.The Mises stress distribution contours and the maximum Mises stresses of the structures with 0%,50%,100% volume amount of constrained damping layers were compared in order to study the optimal layout of the 3×3 grid stiffened panel in resonance conditions.The results show that the optimal layout,with 50% volume amount of constrained damping layer,has little effect on the Mises stress distribution but the maximum Mises stress decreases obviously.The method has been also used in the optimization design of general complex structures to reach the aim of mass reduction with a little sacrifice in damping effect,which can be widely used in optimization design of general damping structures.The method is of great practicability.

关 键 词：拓扑优化 灵敏度分析 约束阻尼结构 

分 类 号：O327[理学—一般力学与力学基础] O342[理学—力学]