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.
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.
出处
《固体力学学报》
CAS
CSCD
北大核心
2006年第1期71-76,共6页
Chinese Journal of Solid Mechanics
基金
陕西省自然科学基金项目(2002A14)资助
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
continuum structure, frequency probability constraints, evolutionary criterion, reliability, topology optimization
