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On the numerical reconstruction of a spring-mass system from its natural frequencies

  • Egaña Arancibia, Juan [1] ; Soto Montero, Ricardo Lorenzo [1]
    1. [1] Universidad Católica del Norte

      Universidad Católica del Norte

      Antofagasta, Chile

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 19, Nº. 1, 2000, págs. 27-41
  • Idioma: inglés
  • DOI: 10.22199/S0716-09172000000100003
  • Enlaces
  • Referencias bibliográficas
    • Citas [1] C. De Boor and E.B. Saff, Finite sequence of Orthogonal polynomials connected by a Jacobi matrix, Lin. Alg. Appl. 75, pp. 43-55,...
    • [2] D. Boley and G.H. Golub, A survey of matrix inverse eigenvalue problem, Inverse Problems 3, pp. 595-622, (1987).
    • [3] S. Friedland and A.A. Melkman, On the eigenvalues of nonnegative Jacobi matrices, Lin. Alg. Appl. 25, pp. 239-253, (1979).
    • [4] G.M. Gladwell, Inverse Problems in Vibrations-2, Appl. Mech. Rev. 49, N 7, (1996)
    • [5] G.M.L. Gladwell, Inverse Problems in Vibration, Martinus Nijhoff Publishers, Dordrecht (1989).
    • [6] G.M.L. Gladwell and N.B. Willms, The reconstruction of a tridiagonal system from its frequency response at an interior point, Inverse...
    • [7] W.B. Gragg and J.W. Harrow, The numerically stable reconstruction of Jacobi matrices from spectral data, Numer. Math. 44, pp. 317-335,...
    • [8] F.P. Gantmakher and M.G. Krein, Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems, State Publishing House for...
    • [9] H. Hochstadt, On Construction of a Jacobi matrix from spectral data, Lin. Alg. Appl. 8, pp. 435-446, (1974).
    • [10] Y.M. Ram, Inverse Eigenvalue Problems for a modified Vibrating System, SIAM J Appl 53, pp. 1762-1775, (1993).
    • [11] Y.M. Ram and J. Caldwell, Phiysical parameters reconstruction of a free-free mass-spring system from its spectra, SIAM J. Appl. Math....
    • [12] Y.M. Ram and G.M.L. Gladwell, Constructing a finite element model of a vibratory rod form eigendata, J. Sound Vibration 169, pp. 229-237,...
    • [13] R.L. Soto, A numerical reconstruction of a Jacobi matrix from spectral data, Tamkang Journal of Mathematics 20, No 1, pp.57-63, (1989).

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