连续体结构的多目标拓扑优化设计

刘远东; 尹益辉; 郭中泽

连续体结构的多目标拓扑优化设计

1.
中国工程物理研究院总体工程研究所, 绵阳 621900

基金项目:

中国工程物理研究院科学技术发展基金项目(2008A0302011)资助

详细信息

作者简介:
刘远东(1978-)，工程师，博士研究生，研究方向为工程力学

计量
- 文章访问数: 215
- HTML全文浏览量: 33
- PDF下载量: 8
- 被引次数: 0
出版历程
- 收稿日期: 2012-10-16
- 刊出日期: 2015-06-10

Multi-objective Optimization of Topology of Continuum Structure

1.
Institute of Structural Mechanics, CAEP, Mianyang 621900

摘要

摘要: 为实现静动态多目标下连续体结构的拓扑优化设计,以静态柔顺度最小化和动态特征值最大化加权函数为目标,提出并建立静动态多目标下连续体结构拓扑优化模型,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不同性质目标函数的量级差异。通过算例,获得了静动态权重系数对结构拓扑构型和目标函数(宏观结构的柔度和基频)的影响规律,算例结果表明了该方法的有效性。
- 连续体结构 /
- 多目标 /
- 拓扑优化 /
- 优化准则法
Abstract: This paper develops a multi-objective optimization model of the continuum structure. The objectives ofthe model are to maximize the fundamental frequency of the continuum structure and minimize its compliance. Therational approximation of material properties method is adopted to ensure the clear topology of the continuum structure; the design objectives and material distribution are controlled by the optimization criteria method; the checkerboard influence was eliminated by the sensitivity filtering method. To improve the smoothness of the objective function and avoid the singularity of numerical computation, the weighted objective function is normalized. The numerical simulation produces the effects of the weighted coefficient of the static and dynamic optimization on the topology form and objective values (the fundamental frequency of the continuum structure and its compliance). The simulation results indicate that the method proposed in the paper is effective.
- continuum structure /
- design /
- efficiency /
- flowcharting

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参考文献(10)

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