Title of Paper:Quadratic model updating with gyroscopic structure from partial eigendata

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Date of Publication:2013-09-01

Journal:OPTIMIZATION AND ENGINEERING

Included Journals:SCIE、EI、Scopus

Volume:14

Issue:3

Page Number:431-455

ISSN No.:1389-4420

Key Words:Quadratic eigenvalue problem; Inverse problem; Model updating problem; Gyroscopic structure; Inexact smoothing Newton method

Abstract:Quadratic eigenvalue model updating problem, which aims to match observed spectral information with some feasibility constraints, arises in many engineering areas. In this paper, we consider a damped gyroscopic model updating problem (GMUP) of constructing five n-by-n real matrices M,C,K,G and N, such that they are closest to the given matrices and the quadratic pencil Q(lambda):=lambda (2) M+lambda(C+G)+K+N possess the measured partial eigendata. In practice, M,C and K, represent the mass, damping and stiffness matrices, are symmetric (with M and K positive definite), G and N, represent the gyroscopic and circulatory matrices, are skew-symmetric. Under mild assumptions, we show that the Lagrangian dual problem of GMUP can be solved by a quadratically convergent inexact smoothing Newton method. Numerical examples are given to show the high efficiency of our method.