基于ICM法的传热结构周期性拓扑优化设计

龙凯; 贾娇

doi:10.6052/j.issn.1000-4750.2013.11.1080

基于ICM法的传热结构周期性拓扑优化设计

龙凯^1,2,,
贾娇³

1.
华北电力大学新能源电力系统国家重点实验室,北京 102206;
2.
长沙理工大学工程车辆轻量化与可靠性技术湖南省高校重点实验室,长沙 410114;
3.
北京航空航天大学航空科学与工程学院,北京 100191

基金项目: 国家自然科学基金项目(11202078); 北京市自然科学基金项目(3143025); 工程车辆轻量化与可靠性技术湖南省高校重点实验室(长沙理工大学)开放基金项目(2013kfjj01); 中央高校基本科研业务费专项资金项目(2014ZD16)

详细信息

作者简介:
贾娇(1984―),女,内蒙古鄂尔多斯人,博士生,主要从事振动噪声分析与控制研究(E-mail: jiajiao_2012@163.com).

通讯作者:
龙凯(1978―),男,湖北武汉人,讲师,博士,从事连续体结构拓扑优化理论方法与应用研究(E-mail: longkai1978@163.com).

中图分类号: O343.1
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- 文章访问数: 361
- HTML全文浏览量: 30
- PDF下载量: 126
出版历程
- 收稿日期: 2013-11-20
- 修回日期: 2014-05-28
- 刊出日期: 2015-05-24

PERIODIC TOPOLOGY OPTIMIZATION DESIGN FOR THERMAL CONDUCTIVE STRUCTURE USING ICM METHOD

LONG Kai^1,2,,
JIA Jiao³

1.
State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China;
2.
Key Laboratory of Lightweight and Reliability Technology for Engineering Vehicle, Education Department of Hunan Province, Changsha University of Science & Technology, Changsha 410114, China;
3.
School of Aeronautic Science and Engineering, BeiHang University, Beijing 100191, China

摘要

摘要: 为了获得复合材料稳态导热性优化微结构构型,基于独立连续映射法,建立了周期性结构拓扑优化模型。在优化模型中,以重量最小化为目标、散热弱度为约束。采用一阶泰勒展开近似表达散热弱度约束函数。基于偏微分方程实施的图像过滤方法消除了棋盘格现象和网格依赖性问题。为了满足周期性约束,设计区域划分为若干相同大小的子区域,散热弱度贡献系数被重新分配。对比分析循环周期数、不同约束载荷工况下的拓扑优化构型。数值算例结果验证提出方法可以有效实现热传导下的复合材料微结构优化设计。
- 拓扑优化 /
- 连续体结构 /
- 独立连续映射法 /
- 周期性结构 /
- 导热性
Abstract: To obtain the optimal topological configuration for thermal conductive microstructures of composite materials, a topological optimization model of the periodic structure is established by the Independent Continuous Mapping method. In this model, minimized weight is taken as the objective and thermal compliance is the constraint condition. The thermal compliance constraint is approximately formulated using a first-order Taylor expansion. The image-filtering method is implemented by a partial differential equation to eliminate checkerboard patterns and mesh-dependence problems. To satisfy the periodic constraint, the designable domain is divided into a certain number of identical subdomains and the contribution coefficients of thermal compliance are redistributed. Optimal topological configurations with different periodic numbers and different loading conditions are compared and analyzed. Numerical results verify the validity of the proposed topology optimization method in designing the microstructures of composite materials for thermal conduction.
- topology optimization /
- continuum structure /
- independent continuous mapping method /
- periodic structure /
- thermal conductivity

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