| 基于HCA的改进收敛准则优化算法研究 |
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| 引用本文： | 向晓波,田启华,杜义贤.基于HCA的改进收敛准则优化算法研究[J].三峡大学学报(自然科学版),2014(2):84-87. |
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| 作者姓名： | 向晓波 田启华 杜义贤 |
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| 作者单位： | 三峡大学机械与材料学院;三峡大学水电机械设备设计与维护湖北省重点实验室;三峡区域能源装备三峡大学协同创新中心; |
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| 摘 要： | 为了抑制拓扑优化中出现的灰度单元现象,通过引入范数理论的概念,提出了一种新的针对连续体结构的收敛准则算法.采用变密度法,建立SIMP材料插值模型和基于元胞自动机的拓扑优化数学模型,以结构的应变能密度均匀分布为优化目标.通过经典的二维数值算例,证明该收敛准则法在结构拓扑优化中的正确性和可靠性.
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| 关 键 词： | 拓扑优化 范数理论 元胞自动机 收敛准则 |
Study of Modified Convergence Criterion Optimization Algorithm Based on Hybrid Cellular Automata |
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| Xiang Xiaobo,Tian Qihua,Du Yixian.Study of Modified Convergence Criterion Optimization Algorithm Based on Hybrid Cellular Automata[J].Journal of China Three Gorges University(Natural Sciences),2014(2):84-87. |
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| Authors: | Xiang Xiaobo Tian Qihua Du Yixian |
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| Institution: | 1. College of Mechanical Hubei Key Laboratory of Yichang 443002, China; 3. China Three Gorges Univ. Material Engineering, China Three Gorges Univ. , Yichang 443002, China; 2. Hydroelectric Machinery Design ＆ Maintenance, China Three Gorges Univ., Collaborative Innovation Center for Energy Equipment of Three Gorges Region, , Yiehang 443002, China) |
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| Abstract: | To suppress numerical stability problems in topology optimization for continuum structures, a modified heuristic convergence criterion method is proposed by using principle of norm theory. The topology optimization model for continuum structures is established by using cellular automata method. The optimization objective is referred to as the uniform strain density distribution. Two numerical examples are given to show the feasibility of modified heuristic convergence criterion method in topology optimization. |
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| Keywords: | topology optimization norm theory cellular automata convergence criterion |
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