Analysis of vibration by the wave propagation method and Bolotin's method for a rectangular thin plate with at least one side roller-supported

Wave Motion

Volumn 25, Issue 2, 1997, Pages 169-180

  Coleman, Matthew P ^a  

^a FAIRFIELD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037823967     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-2125(96)00038-8     Document Type: Article

References (10)

1. V.V. Bolotin, "An asymptotic method for the study of the problem of eigenvalues for rectangular domains", in: J.R.M. Radds, ed., Problems of Continuum Mechanics, SIAM, Philadelphia (1961) 56-68.
2. G. Chen, M.P. Coleman and J. Zhou, "Analysis of vibration eigenfrequencies of a thin plate by the Keller-Rubinow wave method (I)", SIAM J. Appl. Math. 51, 967-983 (1991).
3. G. Chen. M.P Coleman and J. Zhou, "The equivalence between the wave propagation method and Bolotin's method in the asymptotic estimation of eigenfrequencies of a rectangular plate", Wave Motion 16 (3), 285-297 (1992).
4. G. Chen and J. Zhou, "The wave propagation method for the analysis of boundary stabilization in vibrating structures", SIAM J. Appl. Math. 50, 1254-1283 (1990).
5. G. Chen and J. Zhou, Vibrations and Damping in Distributed Systems. Vols. I and II, CRC Press, Boca Raton, Florida (1993).
6. K.F. Graff, Wave Motion in Elastic Solids, Dover, New York (1991) 246-250.
7. J.B. Keller and S.I. Rubinow, "Asymptotic solutions of eigenvalue problems", Ann. Phys. 9, 24-75 (1960).
8. A.W. Leissa, Vibration of Plates, NASA S.P. 160 (1969).
9. S. Timoshenko, Vibration Problems in Engineering, Van Nostrand, New York (1937).
10. G.B. Warburton, "The vibration of rectangular plates", Proc. Inst. Mech. Engrg. Ser. A 168 (12), 371-384 (1954).