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

Authors:
Xiantong Huang;Xiyan Hu;Lei Zhang
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China and Department of Mathematics and Computer Science, Gannan Teachers College, Ganzhou 341000, PR China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

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.