考虑热振特性的连续体结构拓扑优化设计

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (17) : 113-116.

论文

考虑热振特性的连续体结构拓扑优化设计

刘远东莫军尹益辉徐兵

作者信息 +

Topology Optimization for Continuum Structure Consideration of Thermal and Vibrational Performances

Liu Yuandong Mo Jun Yin Yihui Xu Bin

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文章历史 +

摘要

为实现传热和振动条件下连续体结构的拓扑优化设计，以结构散热弱度最小化和动态特征值最大化加权函数为目标，建立传热和振动条件下连续体结构的多目标拓扑优化模型，实现了相应的算法和算例。方法中采用Rational Approximation of Material Properties(RAMP)方法对密度进行惩罚，利用优化准则法控制设计目标与材料分布，以敏度过滤技术抑制棋盘格效应，通过归一化目标函数有效地避免了不同性质目标函数的量级差异。通过算例，获得了热-振权重系数对结构拓扑构型和目标函数(宏观结构的散热弱度和基频)的影响规律，算例结果表明了该方法的有效性。

Abstract

For thermal and vibrational design problems, taking the minimum dissipation of heat transport potential capacity and the maximum fundamental frequency as the objectives, a thermal and vibrational collaborative optimization model for the continuum structure was developed and corresponding numerical experiments were carried out. In the model, Rational Approximation of Material Properties (RAMP) was adopted to ensure clear topologies, the design objective and material distribution were controlled by optimization criteria method and the checkerboard influence was eliminated by a sensitivity filter method. To improve the smoothness of the objective function and avoid the singularity of numerical computation, the weighted objection function is normalized. Based on the numerical experiments, effects of the weight coefficient of the thermal and vibrational optimization on the topology configuration and objective values (the dissipation of heat transport potential capacity and fundamental frequency) were investigated and the results indicated that the proposed method is effective.

导出引用

刘远东莫军尹益辉徐兵. 考虑热振特性的连续体结构拓扑优化设计[J]. 振动与冲击, 2016, 35(17): 113-116

Liu Yuandong Mo Jun Yin Yihui Xu Bin. Topology Optimization for Continuum Structure Consideration of Thermal and Vibrational Performances[J]. Journal of Vibration and Shock, 2016, 35(17): 113-116

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