| 基于SIMP插值模型的渐进结构优化方法 |
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| 引用本文： | 刘书田,贺丹. 基于SIMP插值模型的渐进结构优化方法[J]. 计算力学学报, 2009, 26(6): 761-765 |
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| 作者姓名： | 刘书田 贺丹 |
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| 作者单位： | 大连理工大学,工业装备结构分析国家重点实验室,大连,116024 |
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| 基金项目： | 国家自然科学基金，国家重点基础研究(973)计划项目，科技部国家重点实验室专项经费项目 |
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| 摘 要： | 在传统渐进结构优化算法(ESO)及带惩罚的变密度法(SIMP)的基础上,本文提出将二者相结合的基于SIMP插值模型的渐进结构优化算法.该方法通过缩小传统ESO算法中的进化步长,从而缩小了由于进化步长过大而导致的敏度评估误差,使得ESO算法在合理性及通用性上获得了较大改善.数值算例表明,该方法在保持了常规ESO方法的优点的同时,拥有更高的稳定性和可靠性.
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| 关 键 词： | 拓扑优化 渐进结构优化算法 带惩罚的交密度法 敏度分析 |
| 收稿时间： | 2008-03-07 |
SIMP-based evolutionary structural optimization method for topology optimization |
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| LIU Shu-tian and HE Dan. SIMP-based evolutionary structural optimization method for topology optimization[J]. Chinese Journal of Computational Mechanics, 2009, 26(6): 761-765 |
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| Authors: | LIU Shu-tian and HE Dan |
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| Affiliation: | State Key Laboratory of Structural Analysis for Industrial Equipments,Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Structural Analysis for Industrial Equipments,Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper the improved ESO method based on SIMP is presented, which is a combination of ESO and SIMP. The step length of evolution is reduced so that the accuracy of sensitivity analysis can be improved. The SIMP method is employed to describe the relationship between the relative density and the stiffness of grey elements. With logical parameter the numbers of grey elements can be controlled, so the topology can be clear and easy to manufacture. Topology optimization of continuum structures considering self-weight is carried out by this method, and more optimal results are obtained than those by traditional ESO method. |
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| Keywords: | topology optimization ESO SIMP sensitivity analysis |
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