Corrected solvability conditions for non-linear asymmetric vibrations of a circular plate

Journal of Sound and Vibration

Volumn 257, Issue 4, 2002, Pages 653-665

  Yeo, M H ^a   Lee, W K ^a  

^a Yeungnam University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; PLATES (STRUCTURAL COMPONENTS);

CIRCULAR PLATE; HARMONIC EXCITATION; LINEAR STRESS STRAIN LAW; NONLINEAR ASYMMETRIC VIBRATIONS;

VIBRATIONS (MECHANICAL);

EID: 0037206996     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2002.5037     Document Type: Article

References (7)

1. S. Sridhar, D. T. Mook and A. H. Nayfeh 1975 Journal of Sound and Vibration 41, 359-373. Non-linear resonances in the forced responses of plates. Part I: symmetric responses of circular plates.
2. J. Hadian and A. H. Nayfeh 1990 Journal of Sound and Vibration 142, 279-292 Modal interaction in circular plates.
3. W. K. Lee and C. H. Kim 1995 American Society of Mechanical Engineers Journal of Applied Mechanics 62, 1015-1022. Combination resonances of a circular plate with three-mode interaction.
4. S. Sridhar, D. T. Mook and A. H. Nayfeh 1978 Journal of Sound and Vibration 59, 159-170. Non-linear resonances in the forced responses of plates. Part II: asymmetric responses of circular plates.
5. G. J. Efstathiades 1971 Journal of Sound and Vibration 16, 231-253. A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure.
6. A. W. Leissa 1969 NASA-SP-160. Vibration of plates.
7. T. A. Nayfeh and A. F. Vakakis 1994 International Journal of Non-linear Mechanics 29, 233-245. Subharmonic travelling waves in a geometrically non-linear circular plate.