Large Amplitude Three-Dimensional Free Vibrations of Inclined Sagged Elastic Cables

Nonlinear Dynamics

Volumn 33, Issue 2, 2003, Pages 129-154

  Srinil, Narakorn ^a   Rega, Giuseppe ^b   Chucheepsakul, Somchai ^a  

^a KING MONGKUT'S UNIVERSITY OF TECHNOLOGY THONBURI   (Thailand)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Dynamic tension; Inclined cable; Internal resonance; Large amplitude three dimensional free vibration; Modal transition; Multi degree of freedom model

Indexed keywords

CABLES; DEGREES OF FREEDOM (MECHANICS); ELASTICITY; FINITE DIFFERENCE METHOD;

ELASTIC CABLES;

VIBRATIONS (MECHANICAL);

EID: 0142153908     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026019222997     Document Type: Article

References (28)

1. Triantafyllou, M. S., 'Dynamics of cables, towing cables, and mooring systems', Shock and Vibration Digest 23, 1991, 3-8.
2. Irvine, H. M. and Caughey, T. K., 'The linear theory of free vibrations of a suspended cable', Proceedings of the Royal Society of London, Series A 341, 1974, 229-315.
3. Triantafyllou, M. S. and Grinfogel, L., 'Natural frequencies and modes of inclined cables', ASCE Journal of Structural Engineering 112, 1986, 139-148.
4. Hagedorn, P. and Schafer, B., 'On non-linear free vibrations of an elastic cables', International Journal of Non-Linear Mechanics 15, 1980, 333-340.
5. Luongo, A., Rega, G., and Vestroni, F., 'Planar non-linear free vibrations of an elastic cable', International Journal of Non-Linear Mechanics 19, 1984, 39-52.
6. Benedettini, P., Rega, G., and Vestroni, F., 'Modal coupling in the free nonplanar finite motion of an elastic cable', Meccanica 21, 1986, 38-46.
7. Benedettini, F. and Rega, G., 'Non-linear dynamics of an elastic cable under planar excitation', International Journal of Non-Linear Mechanics 22, 1987, 497-509.
8. Rao, G. V. and Iyengar, R. N., 'Internal resonance and non-linear response of a cable under periodic excitation', Journal of Sound and Vibration 149, 1991, 25-41.
9. 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.
10. 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.
11. Lee, C. L. and Perkins, N. C., 'Three-dimensional oscillations of suspended cables involving simultaneous internal resonances', Nonlinear Dynamics 8, 1995, 45-63.
12. 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.
13. Rega, G., Lacarbonara, W., Nayfeh, A. H., and Chin, C. M., 'Multiple resonances in suspended cables: Direct versus reduced-order models', International Journal of Non-Linear Mechanics 34, 1999, 901-924.
14. Nayfeh, A. H., Arafat, H. N., Chin, C. M., and Lacarbonara, W., 'Multimode interactions in suspended cables', Journal of Vibration and Control 8, 2002, 337-387.
15. Chucheepsakul, S. and Wongsa, S., 'Effect of axial stretching on large amplitude free vibration of a suspended cable', Structural Engineering and Mechanics 11, 2001, 185-197.
16. Srinil, N., Rega, G., and Chucheepsakul, S., 'Three-dimensional nonlinear coupling and dynamic tension in the large amplitude free vibrations of arbitrarily sagged cables', Journal of Sound and Vibration 27, 2003, 781-803.
17. Rega, G., Alaggio, R., and Benedettini, F., 'Experimental investigation of the nonlinear response of a hanging cable. Part I: Local analysis', Nonlinear Dynamics 14, 1997, 89-117.
18. 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.
19. Yamaguchi, H. and Ito, H., 'Linear theory of free vibrations of an inclined cable in three dimensions', Proceedings of the Japanese Society of Civil Engineers 286, 1979, 29-36.
20. Cai, Y. and Chen, S. S., 'Dynamics of elastic cable under parametric and external resonances', ASCE Journal of Engineering Mechanics 120, 1994, 1786-1802.
21. Warnitchai, P., Fujino, Y., and Susumpow, T., 'A non-linear dynamic model for cables and its application to a cable-structure system', Journal of Sound and Vibration 187, 1995, 695-712.
22. Zhao, Y. Y., Wang, L. H., Chen, D. L., and Jiang, L. Z., 'Non-linear dynamic analysis of the two-dimensional simplified model of an elastic cable', Journal of Sound and Vibration 255, 2002, 43-59.
23. Takahashi, K. and Konishi, Y., 'Non-linear vibrations of cables in three dimensions. Part 1: Non-linear free vibrations', Journal of Sound and Vibration 118, 1987, 69-84.
24. Leissa, A. W. and Saad A.M., 'Large amplitude vibrations of strings', ASME Journal of Applied Mechanics 61, 1994, 296-301.
25. Chucheepsakul, S., Srinil, N., and Petchpeart, P., 'A variational method for three-dimensional model of extensible marine cables with specified top tension', Applied Mathematical Modelling 27, 2003, 781-803.
26. Chucheepsakul, S. and Srinil, N., 'Free vibrations of three-dimensional extensible marine cables with specified top tension via a variational method', Ocean Engineering 29, 2002, 1067-1097.
27. Lacarbonara, W. and Rega, G., 'Resonant nonlinear normal modes. Part II: Activation/orthogonality conditions for shallow structural systems', International Journal of Non-Linear Mechanics 38, 2003, 873-887.
28. Nayfeh, A. H., and Balachandran, B., Applied Nonlinear Dynamics, Wiley, New York, 1995.