| 随机参数平面连续体结构的频率拓扑优化设计 |
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| 引用本文： | 宋宗凤,陈建军.随机参数平面连续体结构的频率拓扑优化设计[J].振动与冲击,2009,28(12):30-34. |
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| 作者姓名： | 宋宗凤 陈建军 |
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| 作者单位： | 西安电子科技大学,机电工程学院,西安,710071 |
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| 基金项目： | 国家863高技术研究发展计划项目 |
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| 摘 要： | 摘 要 研究几何和物理参数均为随机变量的平面连续体结构在结构基频约束下的拓扑优化设计问题。以结构总质量均值极小化为目标函数，以结构的形状拓扑信息为设计变量，以结构基频概率可靠性指标为约束条件，构建了随机结构拓扑优化设计数学模型。利用代数综合法，导出了随机参数结构动力响应的均值和均方差的计算表达式。采用渐进结构优化的求解策略与方法，通过两个算例验证了文中模型及求解方法的合理性和可行性。
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| 关 键 词： | 随机参数 频率灵敏度 概率可靠性 拓扑优化 |
| 收稿时间： | 2008-11-10 |
| 修稿时间： | 2009-2-16 |
Frequency topology optimization design of random parameters continuum structure |
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| SONG Zong-feng,CHEN Jian-jun.Frequency topology optimization design of random parameters continuum structure[J].Journal of Vibration and Shock,2009,28(12):30-34. |
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| Authors: | SONG Zong-feng CHEN Jian-jun |
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| Abstract: | Topology optimization design of planar continuum structure with randomness of both geometry and physical parameters under structural foundamental frequency constraint was studied. Mathematical model of topology optimization design of random structure was established,in which the mean of structural weight was taken as minimization objective function,the structural shape topology information was taken as design variables,and the probabilistic reliability index of structural foundamental frequency was taken as constraint conditon. The computational expressions of the mean value and mean variance of the structural dynamic response were presented by means of the algebric synthesized method. Evolutionary structural optimization method was used in optimization. Through two examples,the rationality and feasibility of the optimization model and solving method were validated. |
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| Keywords: | random parameters frequency sensitivity probabilistic reliability topology optimization |
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