A Multidisciplinary Uncertainty Design Optimization Method Based on Interval Model

Abstract

Abstract:

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.

Key words: multidisciplinary design optimization, uncertainty, interval model, genetic algorithm

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。



关键词:

多学科设计优化；不确定性；区间模型, 遗传算法

CLC Number:

TH122

DAO You-Rui, HAN Xu, JIANG Chao. A Multidisciplinary Uncertainty Design Optimization Method Based on Interval Model[J]. China Mechanical Engineering, 2009, 20(23): 2782-2787.

陶友瑞, 韩旭1, 姜潮.

一种基于区间模型的多学科不确定性设计优化方法

[J]. 中国机械工程, 2009, 20(23): 2782-2787.

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