基于混合元胞自动机法的结构可靠性拓扑优化  

TOPOLOGY OPTIMIZATION OF STRUCTURES USING HYBRID CELLULAR AUTOMATION METHOD BASED ON RELIABILITY

作　　者：沈亚栋 封建湖[1] 王勋涛[1] 程晓晗[1] SHEN YaDong;FENG JianHu;WANG XunTao;CHENG XiaoHan(School of Science,Chang'an University,Xi'an 710064,China)

机构地区：[1]长安大学理学院,西安710064

出　　处：《机械强度》2018年第6期1341-1348,共8页Journal of Mechanical Strength

基　　金：国家自然科学基金(11601037);中央高校基本科研业务费(310812161008)资助~~

摘　　要：针对混合元胞自动机法(Hybrid Cellular Automata, HCA)产生大量灰度单元等数值不稳定问题,引入距离因子,提出一种新的状态变量更新规则,并结合工程结构的不确定性,建立了结构可靠性拓扑优化模型。首先,通过可靠性分析修正随机变量,将可靠性约束转化为确定性约束,然后采用修正后的随机变量进行确定性结构拓扑优化。通过二维和三维算例,对比两种变量更新规则下的优化结果。算例结果表明,提出的状态变量更新规则能有效减少灰度单元数量,并降低了结构的应变能。In order to suppress gray-scale elements in Hybrid Cellular Automation method,distance factor and a new updating technique for state variables are proposed,combining the uncertainty of engineering structure,the optimization model of structural topology is established based on reliability.First,the modified random variables could be obtained through the reliability analysis,the reliability constraints are translated into deterministic constraints,and then the modified random variables are used for deterministic structural topology optimization.The optimization results under different updating techniques are contrasted.Results show that the proposed updating technique for state variables can effectively reduce the amount of gray-scale elements and reduce the strain energy of the structure.

关 键 词：混合元胞自动机 可靠性拓扑优化 状态变量 距离因子 

分 类 号：O224[理学—运筹学与控制论] TB114.3[理学—数学]