Interval is an alternative to probability distribution in quantifying uncertainty for sensitivity analysis (SA) when there is a lack of data to fit a distribution with good confidence. It only requires the information of lower and upper bounds. Analytical relations among design parameters, design variables, and target performances under uncertainty can be modeled as interval-valued constraints. By incorporating logic quantifiers, quantified constraint satisfaction problems (QCSPs) can integrate semantics and engineering intent in mathematical relations for engineering design. In this paper, a global sensitivity analysis (GSA) method is developed for feasible design space searching problems that are formulated as QCSPs, where the effects of value variations and quantifier changes for design parameters on target performances are analyzed based on several proposed metrics, including the indeterminacy of target performances, information gain of parameter variations, and infeasibility of constraints. Three examples are used to demonstrate the proposed approach.
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April 2015
Research-Article
Sensitivity Analysis in Quantified Interval Constraint Satisfaction Problems
Jie Hu,
Jie Hu
The State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
and Manufacturing for Vehicle Body,
Hunan University
,Changsha, Hunan 410082
, China
Search for other works by this author on:
Yan Wang,
Yan Wang
Multiscale Systems Engineering Research Group,
School of Mechanical Engineering,
School of Mechanical Engineering,
Georgia Institute of Technology
,Atlanta, GA 30332
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Aiguo Cheng,
Aiguo Cheng
The State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
and Manufacturing for Vehicle Body,
Hunan University
,Changsha, Hunan 410082
, China
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Zhihua Zhong
Zhihua Zhong
The State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
and Manufacturing for Vehicle Body,
Hunan University
,Changsha, Hunan 410082
, China
Search for other works by this author on:
Jie Hu
The State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
and Manufacturing for Vehicle Body,
Hunan University
,Changsha, Hunan 410082
, China
Yan Wang
Multiscale Systems Engineering Research Group,
School of Mechanical Engineering,
School of Mechanical Engineering,
Georgia Institute of Technology
,Atlanta, GA 30332
Aiguo Cheng
The State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
and Manufacturing for Vehicle Body,
Hunan University
,Changsha, Hunan 410082
, China
Zhihua Zhong
The State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
and Manufacturing for Vehicle Body,
Hunan University
,Changsha, Hunan 410082
, China
Contributed by the Design for Manufacturing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received October 9, 2013; final manuscript received December 17, 2014; published online February 6, 2015. Assoc. Editor: Rikard Söderberg.
J. Mech. Des. Apr 2015, 137(4): 041701 (11 pages)
Published Online: April 1, 2015
Article history
Received:
October 9, 2013
Revision Received:
December 17, 2014
Online:
February 6, 2015
Citation
Hu, J., Wang, Y., Cheng, A., and Zhong, Z. (April 1, 2015). "Sensitivity Analysis in Quantified Interval Constraint Satisfaction Problems." ASME. J. Mech. Des. April 2015; 137(4): 041701. https://doi.org/10.1115/1.4029513
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