Physical parameters reconstruction of a fixed–fixed mass-spring system from its characteristic data

In this paper, an inverse problem of constructing a linear n degree of freedom mass-spring system from part of its physical parameters and part of modality of its maximal or minimal natural frequencies is considered. The solvability and the expression of the solution is derived. The numerical algori...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2007-09, Vol.206 (2), p.645-655
Main Authors: Huang, Xiantong, Hu, Xiyan, Zhang, Lei
Format: Article
Language:English
Subjects:
Exact sciences and technology
Inverse eigenpairs problem
Inverse vibration problem
Jacobi matrix
Mass-spring system
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Sciences and techniques of general use
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Summary:In this paper, an inverse problem of constructing a linear n degree of freedom mass-spring system from part of its physical parameters and part of modality of its maximal or minimal natural frequencies is considered. The solvability and the expression of the solution is derived. The numerical algorithms and some numerical examples are given.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2006.08.011