Experimental Investigation of the Nonlinear Response of a Hanging Cable. Part I: Local Analysis

Nonlinear Dynamics

Volumn 14, Issue 2, 1997, Pages 89-117

  Rega, G ^a   Alaggio, R ^b   Benedettini, F ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Bifurcations; Cables; Experimental analysis; Modal interaction; Nonlinear vibrations

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMIC RESPONSE; NATURAL FREQUENCIES; RESONANCE; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

HANGING CABLES; MODAL INTERACTION; NONLINEAR VIBRATIONS;

CABLES;

EID: 0031259358     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008246504104     Document Type: Article

References (23)

1. Zaretzky, C. L. and Crespo da Silva, M. R. M., 'Experimental investigation of non-linear modal coupling in the response of cantilever beams', Journal of Sound and Vibration 174, 1994, 145-167.
2. Nayfeh, T. A., Nayfeh, A. H., and Mook, D. T., 'A theoretical and experimental investigation of a three-degree-of-freedom structure', Nonlinear Dynamics 6, 1994, 353-374.
3. Nayfeh, S. A., Nayfeh, A. H., and Mook, D. T., 'Nonlinear response of a taut string to longitudinal and transverse end excitation', Journal of Vibration and Control 1, 1995, 307-334.
4. Cusumano, J. P. and Sharkady, M. T., 'An experimental study of bifurcation, chaos and dimensionality in a system forced through a bifurcation parameter', Nonlinear Dynamics 8, 1995, 467-489.
5. O' Reilly, O. and Holmes, P. J., 'Non-linear, non-planar and non-periodic vibrations of a string', Journal of Sound and Vibration 153, 1992, 413-435.
6. Nayfeh, A. H., Nayfeh, S. A., Anderson, T. A., and Balachandran, B., 'Transfer of energy from high-frequency to low-frequency modes', in Nonlinearity and Chaos in Engineering Dynamics, J. M. T. Thompson and S. R. Bishop (eds.), Wiley, New York, 1994, pp. 39-58.
7. Benedettini, F. and Rega, G., 'Nonlinear dynamics of an elastic cable under planar excitation', International Journal of Non-Linear Mechanics 22, 1987, 497-509.
8. Takahashi, K. and Konishi, Y., 'Non-linear vibrations of cables in three-dimensions, Part II: Out-of-plane vibration under in-plane sinusoidally time-varying load', Journal of Sound and Vibration 118, 1987, 85-97.
9. Rega, G., Benedettini, F., and Salvatori, A., 'Periodic and chaotic motions of an unsymmetric oscillator in nonlinear structural dynamics', Chaos, Solitons & Fractals 1, 1991, 39-54.
10. Rao, G. V. and Iyengar, R., 'Internal resonance and nonlinear response of a cable under periodic excitation', Journal of Sound and Vibration 149, 1991, 25-41.
11. Lee, C. L. and Perkins, N. C., 'Nonlinear oscillations of suspended cables containing a two-to-one internal resonance', Nonlinear Dynamics 3, 1992, 465-490.
12. Lee, C. L. and Perkins, N. C., 'Three-dimensional oscillations of suspended cables involving simultaneous internal resonances', Nonlinear Dynamics 8, 1995, 45-63.
13. Benedettini, F. and Rega, G., 'Analysis of finite oscillations of elastic cables under internal/external resonance conditions', Nonlinear and Stochastic Dynamics, ASME AMD-192, 1994, 39-46.
14. Benedettini, F., Rega, G., and Alaggio, R., 'Nonlinear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions', Journal of Sound and Vibration 182, 1995, 775-798.
15. Perkins, N. C., 'Modal interactions in the non-linear response of elastic cables under parametric/external excitation', International Journal of Non-Linear Mechanics 27, 1992, 233-250.
16. Lee, C. L. and Perkins, N. C., 'Experimental investigation of isolated and simultaneous internal resonances in suspended cables', Nonlinear Vibrations, ASME DE-54, 1993, 21-31.
17. Benedettini, F. and Moon, F. C., 'Experimental dynamics of a mass cable suspension system', International Journal of Bifurcation and Chaos 5, 1995, 145-157.
18. Benedettini, F., Rega, G., and Alaggio, R., 'Experimental analysis of the finite dynamics of a suspended cable', in Vibration of Nonlinear, Random, and Time-Varying Systems, ASME DE-Vol. 84-1, 1995, pp. 543-552.
19. Rega, G., 'Non-linearity, bifurcation and chaos in the finite dynamics of different cable models', Chaos, Solitons & Fractals 7, 1996, 1507-1536.
20. Benedettini, F. and Rega, G., 'Experimental investigation of the nonlinear response of a hanging cable. Part II: Global analysis', Nonlinear Dynamics 14, 1997, 119-138.
21. Irvine, H. M. and Caughey, T. K., 'The linear theory of free vibrations of a suspended cable', Proc. Royal Society London A341, 1974, 299-315.
22. Cheng, S. P. and Perkins, N. C., 'Closed-form vibration analysis of sagged cable/mass suspensions', Journal of Applied Mechanics 92, 1992, 923-928.
23. Rega, G., Vestroni, F., and Benedettini, F., 'Parametric analysis of large amplitude free vibrations of a suspended cable', International Journal of Solids and Structures 20, 1984, 95-105.