| 多工况下结构鲁棒性拓扑优化设计 |
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| 引用本文： | 罗阳军,亢战,邓子辰.多工况下结构鲁棒性拓扑优化设计[J].力学学报,2011,43(1):227-234. |
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| 作者姓名： | 罗阳军 亢战 邓子辰 |
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| 作者单位： | 1. 西北工业大学力学与土木建筑学院;2. 大连理工大学工业装备结构分析国家重点实验室; |
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| 基金项目： | 国家自然科学基金(51008248); 陕西省自然科学基金(2010JQ1008); 西北工业大学基础研究基金(JC200936)资助项目~~ |
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| 摘 要： | 针对工程中存在多个随机不确定工况载荷作用的情况, 将鲁棒性设计思想引入到连续体结构
拓扑优化设计, 发展和完善不确定性优化理论和计算方法. 基于概率模型和SIMP方法,
提出以结构柔顺度标准差最小化为目标、具有体积约束的连续体鲁棒性拓扑优化数学模型.
通过对目标函数及其灵敏度计算公式的推导, 采用数学规划法实现优化问题的求解. 数值算
例验证了所提优化模型的正确性及算法的有效性, 并通过与确定性优化结果的比较,
证明鲁棒性拓扑优化能够给出结构柔顺性变异更小的材料分布.
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| 关 键 词： | 鲁棒性 拓扑优化 多工况 标准差 灵敏度分析 |
| 收稿时间： | 2010-03-09 |
| 修稿时间： | 2010-08-23 |
ROBUST TOPOLOGY OPTIMIZATION DESIGN OF STRUCTURES WITH MULTIPLE LOAD CASES |
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| Luo Yangjun
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Kang Zhan
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Deng Zichen.ROBUST TOPOLOGY OPTIMIZATION DESIGN OF STRUCTURES WITH MULTIPLE LOAD CASES[J].chinese journal of theoretical and applied mechanics,2011,43(1):227-234. |
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| Authors: | Luo Yangjun Kang Zhan Deng Zichen |
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| Affiliation: | 1. ;2. Department of Engineering Mechanics, Dalian University of Technology, 116024 Dalian, China; |
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| Abstract: | In practical engineering,the structural performance always exhibit some degree of variations due to the fact that the applied loads fluctuate dramatically throughout its service life-cycle.Thus,the need is highlighted to account for uncertainties in topology optimization stage of the structural design.Conventional deterministic topology optimization searches for minimum compliance without considering the uncertainties in operating processes.Recently,the robust structural design has attracted intensive atten... |
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| Keywords: | robustness topology optimization multiple load cases standard deviation sensitivity analysis |
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