基于概率的平面连续体结构拓扑优化  

Topology Optimization of Plain Elastic Continuum Based on Probability

作　　者：陈建军[1] 杜雷[1] 崔明涛[1] 王小兵[1] 梁震涛[1] 

机构地区：[1]西安电子科技大学,西安710071

出　　处：《应用力学学报》2006年第2期203-207,共5页Chinese Journal of Applied Mechanics

基　　金：陕西省自然科学基金(D7010418);国防预研基金(51421060505DZ0155)资助

摘　　要：构建了随机载荷作用下具有随机参数的平面连续体结构拓扑优化设计模型,以结构总质量均值极小化为目标函数,以满足单元应力可靠性为约束条件;对应力可靠性约束进行了等价显示化处理;导出了随机参数结构的应力反应数字特征的计算表达式;提出了相应的求解策略和方法。算例的优化结果表明文中模型的合理性和方法的有效性。The topology optimization with stress constraints of plain elastic continuum structures under random loads is investigated.The topology optimal model is constructed based on probability,where the probabilistic stress constraints are transformed into equivalent normal constraints.The computational expressions of numerical characteristics of stress responses are deduced,the corresponding method is proposed.The rationality of the model and the effectiveness of the method are illustrated via the optimal results of examples.

关 键 词：平面连续体 概率约束 可靠性中心安全系数 拓扑优化 

分 类 号：TU311.4[建筑科学—结构工程] O18[理学—数学]