ACG-TypeMethod for InverseQuadratic Eigenvalue Problems in Model Updating of Structural Dynamics  

作　　者：Jiaofen Li Xiyan Hu 

机构地区：[1]School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China [2]College of Mathematics and Econometrics,Hunan University,Changsha 410082,China

出　　处：《Advances in Applied Mathematics and Mechanics》2011年第1期65-86,共22页应用数学与力学进展（英文）

基　　金：Research supported by National Natural Science Foundation of China(10571047 and 10861005);Provincial Natural Science Foundation of Guangxi(0991238)。

摘　　要：In this paper we first present a CG-type method for inverse eigenvalue problem of constructing real and symmetric matrices M,D and K for the quadratic pencil Q(λ)=λ^(2)M+λD+K,so that Q(λ)has a prescribed subset of eigenvalues and eigenvectors.This method can determine the solvability of the inverse eigenvalue problem automatically.We then consider the least squares model for updating a quadratic pencil Q(λ).More precisely,we update the model coefficient matrices M,C and K so that(i)the updated model reproduces the measured data,(ii)the symmetry of the original model is preserved,and(iii)the difference between the analytical triplet(M,D,K)and the updated triplet(M_(new),D_(new),K_(new))is minimized.In this paper a computationally efficient method is provided for such model updating and numerical examples are given to illustrate the effectiveness of the proposed method.

关 键 词：Inverse eigenvalue problem structural dynamic model updating quadratic pencil iteration method 

分 类 号：X70[环境科学与工程—环境工程]