A hybrid inverse mode problem for fixed-fixed mass-spring models

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 118, Issue 4, 1996, Pages 641-648

  Takewaki, Izuru ^a   Nakamura, Tsuneyoshi ^a   Arita, Yasumasa ^b  

^a KYOTO UNIVERSITY   (Japan)

^b SHIMIZU CORPORATION   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; INVERSE PROBLEMS; MATHEMATICAL MODELS; STIFFNESS;

EIGENMODE; EIGENVALUE ANALYSIS; EIGENVIBRATION; FIXED FIXED MASS SPRING MODEL; HYBRID INVERSE MODE PROBLEM;

VIBRATIONS (MECHANICAL);

EID: 0030257957     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2888346     Document Type: Article

References (13)

1. Barcilon, V., 1974, “On the Uniqueness of Inverse Eigenvalue Problems,” Geophysical Journal of the Royal Astronomical Society, 38, pp. 287-298.
2. Barcilon, V., 1976, “Inverse Problem for a Vibrating Beam,” Journal of Applied Mathematics and Physics, Vol. 27, pp. 347-358.
3. Barcilon, V., 1982, “Inverse Problem for the Vibrating Beam in the Free-Clamped Configuration,” Philosophical Transactions of the Royal Society of London, A 304, pp. 211-251.
4. Barcilon, V., 1987, “Sufficient Conditions for the Solution of the Inverse Problem for a Vibrating Beam,” Inverse Problems, Vol, 3, pp. 181-193.
5. Boley, D., and Golub, G. H., 1987, “A Survey of Matrix Inverse Eigenvalue Problems,” Inverse Problems, Vol. 3, pp. 595-622.
6. Courant, R., and Hilbert, D., 1953, Methods of Mathematical Physics; Vol. 1, Interscience PubUshers Inc., p. 286.
7. De Boor, C, and Golub, G. H., 1978, “The Numerically Stable Reconstruction of a Jacobi Matrix from Spectral Data,” Linear Algebra and Its Applications, Vol. 21, pp. 245-260.
8. Gantmacher, F. R., 1959, The Theory of Matrices, Vol. 2, Chelsea PubUshing Company, New York, p. 105
9. Gladwell, G. M. L., 1984, “The Inverse Problem for the Vibrating Beam,” Proceedings of the Royal Society of London, A 393, pp. 277-295.
10. Gladwell, G. M. L., 1986a, “Inverse Problems in Vibration,” ASMB Applied Mechanics Reviews, Vol, 39, No, 7, pp. 1013-1018.
11. Gladwell, G. M. L., 1986b, Inverse Problems in Vibration, Martinus Nijhoff Publishers.
12. Gladwell, G. M. L., 1986c, “The Inverse Mode Problem for Lumped-Mass Systems,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 39, Part 2, pp. 297-307.
13. Gladwell, G. M. L., Willms, N. B., He, B., and Wang, D., 1989, “How Can We Recognize an Acceptable Mode Shape for a Vibrating Beam?” Quarterly Journal of Mechanics and Applied Mathematics, Vol, 42, Part 2, pp, 303-316.