应用数学和力学2012，Vol.33Issue(9)：1153-1166,14.DOI:10.1007/s10483-012-1612-6
Response analysis based on smallest interval-set of parameters for structures with uncertainty
Response analysis based on smallest interval-set of parameters for structures with uncertainty
摘要
Abstract
An integral analytic process from quantification to propagation based on limited uncertain parameters is investigated to deal with practical engineering problems.A new method by use of the smallest interval-set/hyper-rectangle containing all experimental data is proposed to quantify the parameter uncertainties. With the smallest parameter interval-set,the uncertainty propagation evaluation of the most favorable response and the least favorable response of the structures is studied based on the interval analysis.The relationship between the proposed interval analysis method (IAM) and the classical IAM is discussed.Two numerical examples are presented to demonstrate the feasibility and validity of the proposed method.关键词
quantification analysis/smallest interval-set/hyper-rectangle/uncertain structural response/most favorable response/least favorable responseKey words
quantification analysis/smallest interval-set/hyper-rectangle/uncertain structural response/most favorable response/least favorable response分类
数理科学引用本文复制引用
Xiao-jun WANG,Lei WANG,Zhi-ping QIU..Response analysis based on smallest interval-set of parameters for structures with uncertainty[J].应用数学和力学,2012,33(9):1153-1166,14.基金项目
Project supported by the National Natural Science Foundation of China (No.11002013),the 111 Project (No.B07009),and the Defense Industrial Technology Development Program of China (Nos.A2120110001 and B2120110011) （No.11002013）
