Vibration of rectangular plates using plate characteristic functions as shape functions in the Rayleigh-Ritz method

Journal of Sound and Vibration

Volumn 193, Issue 2, 1996, Pages 497-509

  Rajalingham, C ^a   Bhat, R B ^a   Xistris, G D ^a  

^a Dept of Electrical and Computer Engineering   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DEFLECTION (STRUCTURES); DIFFERENTIAL EQUATIONS; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); STRUCTURAL ANALYSIS;

PLATE CHARACTERISTICS FUNCTIONS; RAYLEIGH-RITZ METHOD; RECTANGULAR PLATE VIBRATIONS;

VIBRATIONS (MECHANICAL);

EID: 0030572194     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0298     Document Type: Article

References (11)

1. A. W. LEISSA 1969 Vibration of Plates. NASA SP 160. Washington, D.C.: U.S. Government Printing Office.
2. A. W. LEISSA 1973 Journal of Sound and Vibration 31, 257-293. The free vibration of rectangular plates.
3. R. B. BHAT, P. A. A. LAURA, R. G. GUTIERREZ, V. H. CORTINEZ and H. C. SANZI 1990 Journal of Sound and Vibration 138, 205-219. Numerical experiments on the determination of natural frequencies of transverse vibrations of rectangular plate of non-uniform thickness.
4. B. T. SMITH, J. M. BOYLE, J. J. DONGARRA, B. S. GARBOW, Y. IKEBE, V. C. KLEMA and C. B. MOLER 1976 in EISPACK Guide. New York: Springer-Verlag. Eigensystem routines.
5. L. V. KANTOROVICH and V. I. KRYLOV 1964 Approximate Methods in Higher Analysis. Groningen, The Netherlands: Noordhoff.
6. A. D. KERR 1968 Quarterly of Applied Mathematics 26, 219-229. An extension of Kantorovich method.
7. R. JONES and B. J. MILNE 1976 Journal of Sound and Vibration 45, 309-316. Application of extended Kantorovich method to the vibration of clamped rectangular plates.
8. R. B. BHAT, J. SINGH and G. MUNDKUR 1993 Transactions of the American Society of Mechanical Engineers, Journal of Vibration and Acoustics 115, 177-181. Plate characteristic functions and natural frequencies of vibration of plates by iterative reduction of partial differential equation.
9. C. RAJALINGHAM, R. B. BHAT and G. D. XISTRIS 1994 Journal of Sound and Vibration (in press). Vibration of rectangular plates by reduction of the plate partial differential equation into simultaneous ordinary differential equations.
10. R. B. BHAT and G. MUNDKUR 1993 Journal of Sound and Vibration 161, 157-171. Vibration of plates using plate characteristic functions obtained by reduction of partial differential equation.
11. C. RAJALINGHAM, R. B. BHAT and G. D. XISTRIS 1995 International Journal of Mechanical Sciences 37(1), 61-75. On elliptical plate vibration modes as a bifurcation from circular plate modes.