一种基于线性物理规划和两级集成系统综合方法的多目标多学科优化方法

A Multi-objective Multidisciplinary Design Optimization Method Based on Integrating Linear Physical Programming and Bi-level Integrated System Synthesis

提出一种高效、直观的方法来解决多目标多学科设计优化问题。在该方法中,设计者首先确定线性物理规划中各目标的偏好类型及偏好值,然后利用ε约束法将多目标问题转换成单目标问题,再采用两级系统集成综合方法进行多学科设计优化,得到不同设计优化方案,最后采用线性物理规划评价各设计方案的优劣并得到最优方案。采用该方法对一个工程实例(减速器模型)进行了优化,从5个设计方案中求得了最优设计方案,最优解中的两个目标函数值都在可容忍区间,从而也验证了该方法的有效性。通过该算例也说明该方法具有很好的工程应用价值。

We present a novel method to deal with multi-objective multidisciplinary design optimization by integrating linear physical programming with bi-level integrated system synthesis.At first,designers decided to which criterion class the objectives belong,and choose the range targets for every objective.Then the multi-objective problem was converted to single-objective problem with-constraint method.Bi-level integrated system synthesis was used to solve the multidisciplinary design optimization problem.All design schemes were evaluated by linear physical programming and the optimum design scheme can be obtained.A speed reducer model was investigated to demonstrate the performance of the presented method.The optimal design scheme can be obtained from five design schemes.The volume and stress of the optimal design scheme are in the tolerable range.The presented method can be applied in the engineering problems.