本文利用渐进结构拓扑优化方法(Evolution Structural Optimization，简称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。
Abstract
Topological optimization design for 3*3 grid stiffened panel was conducted using Evolutionary Structural Optimization method (ESO) with the amount of constrained damping layers as the constraint condition, and the maximization of loss factor of modality as the target function. The optimization was completed using a self-coded C program based on ESO method, which can call ABAQUS software to model the structure. The results showed that the modal damping loss factor of compound 3*3 grid stiffened panel remains unchanged firstly, , then it gradually decrease after increasing to the maximum value.The normalization first modal loss factor of the 3*3 grid stiffened panel with additional damping layers become bigger and bigger when the removal ratio increases, showing that the additional damping layers in the middle portion of the 3*3 grid stiffened panel contributes much to the suppressing vibration performance the structure. Mises stress distributed contour and the Maximum Mises stress value of this structure with 0% ,50%,100% volume amount of constrained damping layer are compared in order to study optimal layout impact on 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 value decreases obviously. The method are used in optimization design of genergy complex structure to reach the aims of sacrificing little damping value with less mass, which can be widely used in optimization design of general damping structures, and has strong practicability.
关键词
拓扑优化 /
灵敏度分析 /
约束阻尼结构
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Key words
Topological optimization /
Sensitivity analysis /
Constraint damping structure
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