A dimension-wise method for the static analysis of structures with interval parameters  

作　　者：XU MengHui QIU ZhiPing 

机构地区：[1]Institute of Solid Mechanics, Beihang University

出　　处：《Science China(Physics,Mechanics & Astronomy)》2014年第10期1934-1945,共12页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the Defense Industrial Technology Development Program(Grant Nos.A2120110001 and B2120110011);‘111’ Project(Grant No.B07009);the National Natural Science Foundation of China(Grant Nos.90816024 and 10876100)

摘　　要：A novel method for the static analysis of structures with interval parameters under uncertain loads is proposed, which overcomes the inherent conservatism introduced by the conventional interval analysis due to ignoring the dependency phenomenon. Instead of capturing the extremum of the structural static responses in the entire space spanned by uncertain parameters, their lower and upper bounds are calculated at the minimal and maximal point vectors obtained dimension by dimension with respect to uncertain parameters based on the Legend orthogonal polynomial approximation, overcoming the potential engineering insignificance caused by the optimization strategy. After performing its theoretical analysis, both the accuracy and applicability of the proposed method are verified.A novel method for the static analysis of structures with interval parameters under uncertain loads is proposed, which overcomes the inherent conservatism introduced by the conventional interval analysis due to ignoring the dependency phenomenon. Instead of capturing the extremum of the structural static responses in the entire space spanned by uncertain parameters, their lower and upper bounds are calculated at the minimal and maximal point vectors obtained dimension by dimension with respect to uncertain parameters based on the Legend orthogonal polynomial approximation, overcoming the potential engineering insignificance caused by the optimization strategy. After performing its theoretical analysis, both the accuracy and applicability of the proposed method are verified.

关 键 词：static analysis finite element method interval parameters interval analysis Legendre polynomial approximation 

分 类 号：O347.1[理学—固体力学]