Application of matched asymptotic expansions to the free vibration of a hermetic shell

Journal of Sound and Vibration

Volumn 209, Issue 4, 1998, Pages 593-607

  Wong, S K ^a   Sze, K Y ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042599112     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1200     Document Type: Article

References (11)

1. M. S. TAVAKOLI and R. SINGH 1989 Journal of Sound and Vibration 100, 97-123. Eigensolutions of joined/hermetic shell structures using the state space method.
2. A. E. H. LOVE 1888 Proceedings of the Royal Society of London (A) 179, 491-546. The small free vibrations and deformation of thin elastic shells.
3. M. C. JUNGER and D. FEIT 1972 Sound, Structures, and Their Interactions. Cambridge, Mass: M.I.T. Press.
4. W. FLÜGGE 1960 Stresses in Shells. Berlin: Springer-Verlag.
5. J. KEVORKIAN and J. D. COLE 1981 Perturbation Methods in Applied Mathematics. New York: Springer-Verlag.
6. A. H. NAYFEH 1973 Pertubation Methods. New York: Interscience.
7. D. E. KILLIAN, M. P. KAMAT and A. H. NAYFEH 1983 Journal of Sound and Vibrations 86, 9-22. Numerical perturbation solutions for the vibrations of prestressed, clamped cylindrical shells.
8. S. K. WONG and W. B. BUSH 1993 Journal of Sound and Vibration 160, 523-532. Axisymmetric vibrations of a clamped cylindrical shell using matched asymptotic expansions.
9. H. E. WILLIAMS 1992 Journal of Sound and Vibration 155, 133-151. On the boundary conditions for the membrane equations of thin, cylindrical shells and resulting natural frequencies.
10. M. ABRAMOWITZ and I. A. STEGUN 1968 Handbook of Mathematical Functions, p. 334. New York: Dover.
11. ABAQUS Theory Manual. Version 5.5. RI, U.S.A.: 1996. Hibbit, Karlson & Sorenson.