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In this paper, an inverse eigenvalue problem of constructing the mass and spring matrices of the mass-spring system from the information of frequency(eigenvalue) and mode(eigenvector) is considered. The solvability of the problem is discussed. Furthermore numerical algorithms and some numerical experiments are given with applications to mass-spring vibrating system.
}, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22743.html} }In this paper, an inverse eigenvalue problem of constructing the mass and spring matrices of the mass-spring system from the information of frequency(eigenvalue) and mode(eigenvector) is considered. The solvability of the problem is discussed. Furthermore numerical algorithms and some numerical experiments are given with applications to mass-spring vibrating system.