Normal modes and near-resonance response of beams with non-linear effects

Journal of Sound and Vibration

Volumn 210, Issue 1, 1998, Pages 19-36

  Chakraborty, G ^a   Mallik, A K ^a   Hatwal, H ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; RESONANCE; VIBRATIONS (MECHANICAL);

NON LINEAR TRANSVERSE MOTION; NORMAL MODES;

BEAMS AND GIRDERS;

EID: 0032000759     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1284     Document Type: Article

References (8)

1. R. M. ROSENBERG 1966 Advances in Applied Mechanics 9, 155-242. On non-linear vibration of systems with many degrees of freedom.
2. W. SZEMPLINSKA-STUPNICKA 1990 The Behavior of Nonlinear Vibrating Systems, Volume II. London: Kluwar Academic Publishers.
3. R. H. RAND 1974 International Journal of Non-Linear Mechanics 9, 363-368. A direct method for non-linear normal modes.
4. S. W. SHAW and C. PIERRE 1994 Journal of Sound and Vibration 169(3), 319-347. Normal modes of vibration for non-linear continuous systems.
5. M. E. KING and A. F. VAKAKIS 1994 ASME Journal of Vibration and Acoustics 116, 332-340. An energy-based formulation for computing non-linear normal modes in undamped continuous systems.
6. A. H. NAYFEH and S. A. NAYFEH 1994 ASME Journal of Vibration and Acoustics 116, 129-136. On nonlinear modes of continuous systems.
7. J. A. BENNET and J. G. EISLEY 1970 AIAA Journal 8(4), 734-739. A multiple degree-of-freedom approach to non-linear beam vibrations.
8. A. H. NAYFEH and D. T. MOOK 1979 Nonlinear Oscillations. New York: Wiley.