基于两种不确定的稳健设计方法及其在车身轻量化设计中的应用

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (05): 834-839.

基于两种不确定的稳健设计方法及其在车身轻量化设计中的应用

章斯亮1，朱平1，陈卫1,2

(1．上海交通大学机械系统与振动国家重点实验室，上海 200240；2．美国西北大学机械工程系，美国伊利诺斯州， 60201)

收稿日期:2012-04-14 出版日期:2013-05-28 发布日期:2013-05-28
基金资助:
国家自然科学基金项目（50875164）资助

Robust Design Method Considering Two Sources of Uncertainties and Its Application in Autobody Lightweight Design

ZHANG Siliang1,ZHU Ping1,CHEN Wei1,2

(1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China; 2. Department of Mechanical Engineering, Northwestern University, Evanston, IL 60201, USA)

Received:2012-04-14 Online:2013-05-28 Published:2013-05-28

摘要/Abstract

摘要：

针对传统基于近似模型的稳健设计方法中近似模型预测误差易导致优化解约束失效的问题，综合考虑参数不确定和近似模型预测不确定的影响，建立基于2种不确定因素的稳健设计方法，并通过数学测试案例验证所提方法的优化效果.同时，针对车身轻量化问题进行应用研究，选取非线性程度高、近似模型不确定影响大的耐撞性指标作为稳健约束.结果表明，基于2种不确定因素的稳健方法可以有效保证高维、强非线性问题优化解的可靠性，并在满足碰撞性能指标的前提下，达到车身减重11.06%的轻量化效果，从而验证了所提方法的可行性.

关键词: 稳健设计, 参数不确定, 近似模型不确定, 轿车偏置碰撞, 车身轻量化设计

Abstract:

In traditional metamodel-based robust design methods, the dependency between metamodels and true responses will inevitably introduce so-called metamodel uncertainty in robust design. Previous robust design methods often treat a metamodel as the real model and ignore the influence of metamodel uncertainty in robust solutions. It often finds a solution in the infeasible region. So the concept of robust design is extended for both parametric uncertainty and metamodel uncertainty to evaluate the compound effect in system responses. A mathematical example was employed to illustrate the superior performance of the proposed robust design method. The method was applied to an autobody lightweight design problem, in which the high-dimensional and high-nonlinear crashworthiness responses are chosen as constraint functions. The results show that the proposed method can reduce the risk of constraint violation due to metamodel uncertainty. The robust solution improves the impact performances and reduces the structure weight by 11.06%. It demonstrates the proposed method is an effective tool in autobody robust design.

Key words: robust design, parametric uncertainty, metamodeling uncertainty, 40% offset impact, autobody lightweight design

中图分类号:

章斯亮1，朱平1，陈卫1,2. 基于两种不确定的稳健设计方法及其在车身轻量化设计中的应用[J]. 上海交通大学学报（自然版）, 2013, 47(05): 834-839.

ZHANG Siliang1,ZHU Ping1,CHEN Wei1,2. Robust Design Method Considering Two Sources of Uncertainties and Its Application in Autobody Lightweight Design[J]. Journal of Shanghai Jiaotong University, 2013, 47(05): 834-839.

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