Non-linear interactions in asymmetric vibrations of a circular plate

Journal of Sound and Vibration

Volumn 263, Issue 5, 2003, Pages 1017-1030

  Lee, W K ^a  

^a Yeungnam University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

NATURAL FREQUENCIES; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATIONS; PLATES (STRUCTURAL COMPONENTS); RESONANCE;

CIRCULAR PLATE; NON-LINEAR INTERACTIONS;

VIBRATIONS (MECHANICAL);

EID: 0037869092     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00271-2     Document Type: Article

References (10)

1. S. Sridhar, D.T. Mook, A.H. Nayfeh, Non-linear resonances in the forced responses of plates. Part I: Symmetric responses of circular plates, Journal of Sound and Vibration 41 (1975) 359-373.
2. S. Sridhar, D.T. Mook, A.H. Nayfeh, Non-linear resonances in the forced responses of plates. Part II: Asymmetric responses of circular plates. Journal of Sound and Vibration 59 (1978) 159-170.
3. J. Hadian, A.H. Nayfeh, Modal interaction in circular plates, Journal of Sound and Vibration 142 (1990) 279-292.
4. T.A. Nayfeh, A.F. Vakakis, Subharmonic traveling waves in a geometrically non-linear circular plate. International Journal of Non-linear Mechanics 29 (1994) 233-245.
5. W.K. Lee, C.H. Kim, Combination resonances of a circular plate with three-mode interaction. American Society of Mechanical Engineers Journal of Applied Mechanics 62 (1995) 1015-1022.
6. M.H. Yeo, W.K. Lee, Corrected solvability conditions for non-linear asymmetric vibrations of a circular plate. Journal of Sound and Vibration 257 (2002) 653-665.
7. A.K. Ghosh, Axisymmetric dynamic response of a circular plate on an elastic foundation, Journal of Sound and Vibration 205 (1997) 112-120.
8. G.J. Efstathiades, A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure. Journal of Sound and Vibration 16 (1971) 231-253.
9. A.W. Leissa, NASA-SP-160, Vibration of plates, 1969.
10. E. Doedel, AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations, California Institute of Technology, Pasadena, 1986.