Analytical models of linear elastomechanical systems are often updated by model parameter estimation using input}output measurements or modal test results. The structure of the model equations and the parametrisation of the spatially discretised model\*often a sum of matrices multiplied each by a di
A generalized inverse eigenvalue problem in structural dynamic model updating
β Scribed by Yong-Xin Yuan; Hua Dai
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 514 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
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.
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In this paper a novel iterative method of multilevel type for solving large-scale generalized eigenvalue problems encountered in structural dynamics is presented. A preconditioned iterative technique, which can be viewed as a modification of the Subspace Iteration method, is used for simultaneous ca
The paper considers the problem of updating an analytical model from experimental data using the reference basis approach. In this general framework, certain parameters, e.g. natural frequencies or modeshapes, are considered to be completely accurate and the others are updated by solving a constrain
The discussion begins with the classification of eigenvalue problems arising from conservative and non-conservative structural systems. The conservative type includes undamped structural eigenvalue problems and undamped gyroscopic eigenvalue problems. The non-conservative type includes damped struct