Transverse vibrations of simply supported orthotropic rectangular plates with rectangular and circular cut-outs carrying an elastically mounted concentrated mass

Structural Engineering and Mechanics

Volumn 7, Issue 5, 1999, Pages 503-512

  Avalos, D R ^a   Larrondo, H A ^a   Laura, P A A ^b  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

^b Institute of Applied Mechanics Bahia Blanca   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL);

DOUBLE FOURIER SERIES;

STRUCTURAL ANALYSIS;

EID: 0033130954     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.1999.7.5.503     Document Type: Article

References (10)

1. Avalos, D.R., Larrondo, H.A. and Laura, P.A.A. (1994), "Transverse vibrations of a circular plate carrying an elastically mounted mass", Journal of Sound and Vibration, 177(2), 251-258.
2. Avalos, D.R., Larrondo, H.A., Laura, P.A.A. and Rossi, R.E. (1997), "Transverse vibrations of simply supported rectangular plates with rectangular cutouts carrying an elastically mounted concentrated mass", Journal of Sound and Vibration, 204(4), 585-592.
3. Kantorovich, L.V. and Krylov, V.I. (1964), Approximate Methods of Higher Analysis, P. Noordhoff, Ltd. Groningen (translated from the Russian text), 283-286.
4. Laura, P.A.A., Susemihl, E.A., Pombo, J.L., Luisoni, L.E. and Gelos, R. (1977), "On the dynamic behavior of structural elements carrying elastically mounted masses", Applied Acoustics, 10(1), 121-145.
5. Laura, P.A.A., Romanelli, E. and Rossi, R.E. (1997a), "Transverse vibrations of simply supported rectangular plates with rectangular cutouts", Journal of Sound and Vibration, 202(2), 275-283.
6. Laura, P.A.A., Avalos, D.R., Larrondo, H.A. and Rossi, R.E. (1997b), "Numerical experiments on the Rayleigh-Ritz method when applied to doubly connected plates", Institute of Applied Mechanics (Bahia Blanca, Argentina), Publication No 97-14.
7. Lekhnitskii, S.T. (1968), Anisotropic Plates, Gordon and Breach, Science Publishers, Inc., New York, 274-280, 428-429.
8. Mikhlin, S.G. (1964), Variational Methods in Mathematical Physics, Pergamon Press, Oxford (translated from the Russian text), 113 and 235-236.
9. Steinberg, D.S. (1973), Vibration Analysis for Electronic Equipment, John Wiley and Sons, New York.
10. Young, D. (1950), "Vibration of rectangular plates by the Ritz method", Journal of Applied Mechanics, 17(4), 448-453.