Parametrically Excited Non-Linear Traveling Beams with and without External Forcing

Nonlinear Dynamics

Volumn 17, Issue 4, 1998, Pages 301-324

  Chakraborty, G ^a   Mallik, A K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Jump phenomena; Non linear complex normal mode; Parametric excitation; Stability

Indexed keywords

HARMONIC ANALYSIS; NUMERICAL ANALYSIS;

JUMP PHENOMENA; PARAMETRIC EXCITATION; TRAVELING BEAMS;

DYNAMICS;

EID: 0032318631     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008391503175     Document Type: Article

References (18)

1. Wickert, J. A. and Mote Jr., C. D., 'Current research on the vibration and stability of axially moving materials', Shock and Vibration Digest 20(5), 1988, 3-13.
2. Naguleswaran, S. and Williams, C. J. H., 'Lateral vibrations of band-saw blades pulley belts and like', International Journal of Mechanical Science 10, 1968, 239-250.
3. Asokanthan, S. F. and Ariaratnam, S. T., 'Flexural instabilities in axially moving bands', ASME Journal of Vibration and Acoustics 116, 1994, 275-279.
4. Pakdemirli, M., Ulsoy, A. G., and Ceranoglu, A., 'Transverse vibration of an axially accelerating string', Journal of Sound and Vibration 169(2), 1994, 179-196.
5. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
6. Mockenstrum, E. M., Perkins, N. C., and Ulsoy, A. G., 'Stability and limit cycles of parametrically excited, axially moving strings', ASME Journal of Vibration and Acoustics 118, 1996, 346-350.
7. Troger, H. and Hsu, C. S., 'Response of a nonlinear system under combined parametric and forcing excitation', ASME Journal of Applied Mechanics 44, 1977, 179-181.
8. Zavodney, L. D., Nayfeh, A. H., and Sanchez, N. E., 'The response of a single-degree-of-freedom system with quadratic and cubic non-linearities to a principal parametric resonance', Journal of Sound and Vibration 129(3), 1989, 417-422.
9. Chakraborty, G., Mallik, A. K., and Hatwal, H., 'Normal modes and near-resonance response of beams with non-linear effects', Journal of Sound and Vibration 210(1), 1998, 19-36.
10. Chakraborty, G., Mallik, A. K., and Hatwal, H., 'Non-linear vibration of a traveling beam', International Journal of Non-Linear Mechanics (in press).
11. Thurman, A. L. and Mote Jr., C. D., 'Free periodic non-linear oscillations of an axially moving strip', ASME Journal of Applied Mechanics 36, 1969, 83-89.
12. Mote Jr., C. D., 'A study of band saw vibrations', Journal of Franklin Institute 279, 1965, 430-444.
13. Wang, K. W. and Mote Jr., C. D., 'Vibration coupling analysis of band/wheel mechanical systems', Journal of Sound and Vibration 109, 1986, 237-258.
14. Al-Jawi, A. A. N., Pierre, C., and Ulsoy, A. G., 'Vibration localization in dual span axially moving beams. Part I: Formulation and results; Part II: Perturbation analysis', Journal of Sound and Vibration 179(2), 1995, 289-312.
15. Hwang, S.-J. and Perkins, N. C., 'High speed stability of coupled band/wheel systems: theory and experiment', Journal of Sound and Vibration 169, 1994, 459-483.
16. Hwang, S.-J. and Perkins, N. C., 'Super-critical stability of an axially moving beam. Part I: Model and equilibrium analysis; Part II: Vibration and stability analysis', Journal of Sound and Vibration 154, 1992, 381-409.
17. Wang, K. W., 'Dynamic stability analysis of high speed axially moving bands with end curvature', ASME Journal of Vibration and Acoustics 113, 1991, 62-68.
18. Wickert, J. A. and Mote Jr., C. D., 'Classical vibration analysis of axially moving continua', ASME Journal of Applied Mechanics 57, 1990, 738-744.