Inverse finite element vibration problems

Journal of Sound and Vibration

Volumn 221, Issue 2, 1999, Pages 309-324

  Gladwell, G M L ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000193706     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.2011     Document Type: Article

References (18)

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3. R. E. D. BISHOP, G. M. L. GLADWELL and S. MICHAELSON 1965 The Matrix Analysis of Vibration. London: Cambridge University Press.
4. B. N. PARLETT 1980 The Symmetric Eigenvalue Problem. Englewood Cliffs, NJ: Prentice-Hall.
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6. F. P. GANTMAKHER and M. G. KREIN 1950 Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. Moscow-Leningrad: State Publishing House for Technical-Theoretical Literature. Translation by U.S. Atomic Energy Commission, Washington DC, 1961.
7. G. M. L. GLADWELL and H. AHMADIAN 1995 Mechanical Systems and Signal Processing 9, 601-614. Generic element matrices suitable for finite element model updating.
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11. G. M. L. GLADWELL 1986 Inverse Problems in Vibration. Dordrecht: Martinus Nijhoff.
12. Y. M. RAM 1993 SIAM Journal of Applied Mathematics 53, 1762-1775. Inverse eigenvalue problems for a modified vibrating system.
13. G. M. L. GLADWELL and N. B. WILLMS 1988 Inverse Problems 4, 1013-1024. Reconstruction of a tri-diagonal system from its frequency at an interior point.
14. G. M. L. GLADWELL 1996 Applied Mechanics Reviews 49, s25-s34. Inverse problems in vibration II.
15. G. M. L. GLADWELL 1997 Inverse Problems 3, 311-322. Inverse vibration problems for finite element models.
16. K. VESILIC 1988 Applicable Analysis 29, 1-18. Linear vibrational system with one dimensional damping.
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18. Y. M. RAM and S. ELAHY 1996 SIAM Journal of Applied Mathematics 56, 232-244. An inverse eigenvalue problem for the symmetric tridiagonal quadratic pencil with applications to damped oscillatory systems.