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基于频率概率约束的连续体结构拓扑优化
引用本文:陈建军,杜雷,崔明涛,王小兵,胡太彬.基于频率概率约束的连续体结构拓扑优化[J].固体力学学报,2006,27(1):71-76.
作者姓名:陈建军  杜雷  崔明涛  王小兵  胡太彬
作者单位:西安电子科技大学电子机械系,西安,710071
基金项目:陕西省自然科学基金项目(2002A14)资助
摘    要:研究了具有随机参数的连续体结构在频率概率约束下的动力特性拓扑优化问题.构建了基于概率的弯曲薄板和平面应力薄板结构的拓扑优化模型,对频率概率约束进行了等价显式化处理,导出了随机参数结构的动力特性数字特征计算表达式,并提出了一种进化优化准则.算例的优化结果表明文中模型的合理性和方法的有效性.

关 键 词:连续体结构  频率概率约束  进化准则  可靠性  拓扑优化
修稿时间:2003年10月24

TOPOLOGY OPTIMIZATION FOR CONTINUUM STRUCTURES WITH FREQUENCY PROBABILITY CONSTRAINT
Chen Jianjun,Du Lei,Cui Mingtao,Wang Xiaobing,Hu Taibin.TOPOLOGY OPTIMIZATION FOR CONTINUUM STRUCTURES WITH FREQUENCY PROBABILITY CONSTRAINT[J].Acta Mechnica Solida Sinica,2006,27(1):71-76.
Authors:Chen Jianjun  Du Lei  Cui Mingtao  Wang Xiaobing  Hu Taibin
Abstract:Dynamic characteristic topology optimization for continuum structures with random parameters is investigated in this paper.Based on frequency probability constraints,the models of topology optimization for a bending thin plate and a plain stress thin plate are constructed.The numerical characteristics of the structures is obtained by transforming the frequency probability constraints into equivalent normal constraints.A new evolutionary optimal criterion is proposed.The rationality of the model and the effectiveness of the method are illustrated by examples.
Keywords:continuum structure  frequency probability constraints  evolutionary criterion  reliability  topology optimization
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