Objective-Oriented Sequential Sampling for Simulation Based Robust Design Considering Multiple Sources of Uncertainty

Author:

Arendt Paul D.1,Apley Daniel W.2,Chen Wei3

Affiliation:

1. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Room B214, Evanston, IL 60208 e-mail:

2. Department of Industrial Engineering and Management Sciences, Northwestern University, 2145 Sheridan Road, Room C150, Evanston, IL 60208 e-mail:

3. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Room A216, Evanston, IL 60208 e-mail:

Abstract

Sequential sampling strategies have been developed for managing complexity when using computationally expensive computer simulations in engineering design. However, much of the literature has focused on objective-oriented sequential sampling methods for deterministic optimization. These methods cannot be directly applied to robust design, which must account for uncontrollable variations in certain input variables (i.e., noise variables). Obtaining a robust design that is insensitive to variations in the noise variables is more challenging. Even though methods exist for sequential sampling in design under uncertainty, the majority of the existing literature does not systematically take into account the interpolation uncertainty that results from limitations on the number of simulation runs, the effect of which is inherently more severe than in deterministic design. In this paper, we develop a systematic objective-oriented sequential sampling approach to robust design with consideration of both noise variable uncertainty and interpolation uncertainty. The method uses Gaussian processes to model the costly simulator and quantify the interpolation uncertainty within a robust design objective. We examine several criteria, including our own proposed criteria, for sampling the design and noise variables and provide insight into their performance behaviors. We show that for both of the examples considered in this paper the proposed sequential algorithm is more efficient in finding the robust design solution than a one-shot space filling design.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference37 articles.

1. A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors;ASME J. Mech. Des.,1996

2. A Model-Based Formulation of Robust Design;ASME J. Mech. Des.,2005

3. Design and Analysis of Robust Total Joint Replacements: Finite Element Model Experiments With Environmental Variables;ASME J. Biomech. Eng.,2001

4. Hybrid Analysis Method for Reliability-Based Design Optimization;ASME J. Mech. Des.,2003

5. A Comparative Study of Uncertainty Propagation Methods for Black-Box-Type Problems;Struct. Multidisc Optim.,2008

Cited by 28 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3