J4 ›› 2009, Vol. 20 ›› Issue (23): 2782-2787.

• 机械科学 • 上一篇    下一篇

一种基于区间模型的多学科不确定性设计优化方法

陶友瑞1,2;韩旭1;姜潮1   

  1. 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
  • 出版日期:2009-12-10 发布日期:2010-01-29

A Multidisciplinary Uncertainty Design Optimization Method Based on Interval Model

Tao Yourui1,2;Han Xu1;Jiang Chao1   

  1. 1.State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,
    Hunan University,Changsha,410082
    2.Hunan Institute of Engineering,Xiangtan,Hunan,411104
  • Online:2009-12-10 Published:2010-01-29

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。

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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

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