一种基于区间模型的多学科不确定性设计优化方法  

A Multidisciplinary Uncertainty Design Optimization Method Based on Interval Model

作　　者：陶友瑞[1,2] 韩旭[1] 姜潮[1] 

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,长沙410082 [2]湖南工程学院,湘潭411101

出　　处：《中国机械工程》2009年第23期2782-2787,共6页China Mechanical Engineering

基　　金：国家自科科学基金资助项目(10502028);教育部长江学者与创新团队发展计划资助项目(531105050037);湖南工程学院2009年科研启动基金资助项目;湖南省教育厅科研项目(09C254)

摘　　要：提出了一种解决多学科优化中目标函数和约束不确定性的方法。该方法采用区间模型描述不确定性变量,基于区间数的序关系方法将不确定性目标函数转化为两目标的确定性目标函数;通过改进的满意度方法将不确定性不等式约束转换为确定性不等式约束;采用罚函数法将约束问题转化为无约束问题进行求解并将多学科可行方法作为优化方法。测试函数和工程应用实例验证了该方法的有效性。A method was suggested to solve the multidisciplinary optimization problem with uncertainty both in objective function and constraints.Uncertainty variables were given as interval model.Based on the method of order relation of interval number,the uncertain objective function was transformed into two deterministic objective functions.The uncertain inequality constrains were converted into deterministic inequality constrains through modified possibility degree.The constraint optimization problem was turned into non-constraint optimization problem by penalty function method,and multidisciplinary feasible method was used as optimization method.The effectiveness of the method was demonstrated by test function and engineering case.

关 键 词：多学科设计优化 不确定性 区间模型 遗传算法 

分 类 号：TH122[机械工程—机械设计及理论]