A generalized inverse eigenvalue problem in structural dynamic model updating

Authors:
Yong-Xin Yuan;Hua Dai
Affiliations:
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China and Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhe ...;Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

This paper is concerned with the problem of the best approximation for a given matrix pencil under a given spectral constraint and a submatrix pencil constraint. Such a problem arises in structural dynamic model updating. By using the Moore-Penrose generalized inverse and the singular value decomposition (SVD) matrices, the solvability condition and the expression for the solution of the problem are presented. A numerical algorithm for solving the problem is developed.