A Dimension-Reduction Interval Analysis Method for Uncertain Problems

作     者：J.C.Tang C.M.Fu 

作者机构：State Key Laboratory of Advanced Design and Manufacturing for Vehicle BodyCollege of Mechanical and Vehicle EngineeringHunan UniversityChangsha City410082P.R.China College of Mechanical EngineeringUniversity of South ChinaHengyang 421001P.R.China 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2017年第113卷第3期

页      面：239-259页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Interval uncertainty interval analysis dimension-reduction method over estimation 

摘      要：In this paper,an efficient interval analysis method called dimension-reduction interval analysis(DRIA)method is proposed to calculate the bounds of response functions with interval variables,which provides a kind of solution method for uncertainty analysis problems of complex structures and ***,multi-dimensional function is transformed into multiple one-dimensional functions by extending dimension reduction method to the interval analysis ***,all the one-dimensional functions are transformed to standard quadratic form by second order Taylor expansion *** a result,the multi-dimensional function is approximately represented by the functions that each interval variable occurs once,and interval power arithmetic can be used to efficiently calculate the bounds of response functions in restricted ***,three numerical examples and an engineering application are investigated to demonstrate the validity of the proposed method.