双向插值模式连续体结构拓扑优化设计

李家春; 李玉刚; 韩锦锦

doi:10.13433/j.cnki.1003-8728.2016.0211

双向插值模式连续体结构拓扑优化设计

doi: 10.13433/j.cnki.1003-8728.2016.0211

1.
贵州大学机械工程学院, 贵阳 550025;
2.
江苏科技大学机械工程学院, 江苏镇江 212003

基金项目:

国家科技支撑计划项目(2012BAK04B00)、贵州省科技重大专项(黔科合重大专项字[2013]6018)及贵州省攻关项目(黔科合NZ[2013]3019)资助

详细信息

作者简介:
李家春(1974-),教授,博士,研究方向为工程结构拓扑优化设计,热工结构设计,15186995872@163.com

计量
- 文章访问数: 346
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- PDF下载量: 6
- 被引次数: 0
出版历程
- 收稿日期: 2014-04-03
- 刊出日期: 2016-02-05

Research on Continuum Structure Topology Optimization Based on Bi-Directional Interpolation Model

1.
School of Mechanical Engineering, Guizhou University, Guiyang 550025, China;
2.
School of Mechanical Engineering, Jiangsu University of Science and Technology, Jiangsu Zhenjiang 212003, China

摘要

摘要: 针对传统拓扑优化中对中间密度单元处理的单向(惩罚)性,提出一种由阈值决定中间密度单元处理方式的双向插值模型(Bi-Directional Interpolation Model, BDIM),建立基于BDIM模式的优化模型。利用拓扑优化梯度投影法,结合算例,对比分析传统插值模型、只对敏度进行双向插值模型和同时对刚度和敏度双向插值模型优化。结果表明,只对敏度进行双向插值模型具有无需过滤、全局收敛、边界清晰的多重优点。
- 拓扑优化 /
- 双向插值模型 /
- 梯度投影法 /
- 传统插值模型
Abstract: Aim at the unidirectional penalty treatment of intermediate density elements in traditional topology optimization, a Bi-Directional Interpolation Model (BDIM) decided by a threshold is presented to treat the intermediate density elements. Then the mathematical model of topology optimization is established based on the proposed model. Example optimization are performed with gradient projection method, and the results obtained by using the traditional interpolation model、BDIM only for sensitivity and BDIM for sensitivity and rigidity, respectively, are compared, it is found that the BDIM only for sensitivity can get a global convergence and clear boundaries optimization results.
- finite element method /
- gradient methods /
- iterative methods /
- Lagrange multipliers

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参考文献(15)

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