Super and combinatorial harmonic response of flexible elastic cables with small sag

Journal of Sound and Vibration

Volumn 251, Issue 1, 2002, Pages 79-102

  Nielsen, S R K ^a   Kirkegaard, P H ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

CABLE STAYED BRIDGES; COMBINATORIAL MATHEMATICS; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; EQUATIONS OF MOTION; HARMONIC GENERATION; INTEGRATION; MATHEMATICAL MODELS; NATURAL FREQUENCIES;

COMBINATORIAL HARMONIC RESPONSE; FLEXIBLE ELASTIC CABLES; SUPERHARMONIC RESPONSE;

CABLES;

EID: 0037149205     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3979     Document Type: Article

References (20)

1. M. Irvine 1992 Cable Structures. New York: Dover.
2. M. Irvine and T. K. Caughey 1974 Royal Society of London, Series A 341, 299-315. The linear theory of free vibrations of a suspended cable.
3. P. Hagedorn and B. Schafer 1980 International Journal of Nonlinear Mechanics 15, 333-339. On nonlinear free vibrations of an elastic cable.
4. A. Luongo, G. Rega and F. Vestroni 1984 International Journal of Nonlinear Mechanics 19, 39-52. Planar nonlinear vibrations of an elastic cable.
5. A. Luongo, G. Rega and F. Vestroni 1982 Journal of Sound and Vibration 82, 247-259. Monofrequency oscillations of a nonlinear model of a suspended cable.
6. G. Rega, F. Vestroni and F. Benedettini 1984 International Journal of Solids and Structures 20, 95-103. Parametric analysis of large amplitude free vibrations of a suspended cable.
7. F. Benedettini, G. Rega and F. Vestroni 1986 Meccanica 21, 38-46. Modal coupling in the free nonplanar finite motion of an elastic cable.
8. F. Benedettini and G. Rega 1987 International Journal of Nonlinear Mechanics 22, 497-509. Nonlinear dynamics of an elastic cable under planar excitation.
9. S.I. Al-Noury and S. A. Ali 1985 Journal of Sound and Vibration 101, 451-462. Large amplitude vibrations of parabolic cables.
10. G. V. Rao and R. Iyengar 1991 Journal of Sound and Vibration 149, 25-41. Internal resonance and nonlinear response of elastic cable under periodic excitation.
11. K. Takahashi and Y. Konishi 1987 Journal of Sound and Vibration 118, 85-97. Nonlinear vibrations of cables in three dimensions. Part II: out-of-plane vibration under in-plane sinusoidally time varying loading.
12. N. C. Perkins 1992 International Journal of Nonlinear Mechanics 27, 233-250. Modal interactions in the nonlinear response of elastic cables under parametric/external excitation.
13. C. L. Lee and N. C. Perkins 1992 Nonlinear Dynamics 3, 465--490. Nonlinear oscillations of suspended cables containing two-to-one internal resonance.
14. C. L. Lee and N. C. Perkins 1992 Proceedings of ASME Winter Annual Meeting AMD-14, 59-67. Three-dimensional oscillations of suspended cables involving simultaneous internal resonance.
15. F. Benedettini, G. Rega and R. Alaggio 1995 Journal of Sound and Vibration 182, 775-798. Nonlinear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions.
16. G. Rega, R. Alaggio and F. Benedettini 1997 Nonlinear Dynamics 14, 89-117. Experimental Investigation of the nonlinear response of a hanging cable. Part I: local analysis.
17. F. Benedettini and G. Rega 1997 Nonlinear Dynamics 14, 119-138. Experimental Investigation of the nonlinear response of a hanging cable. Part II: global analysis.
18. G. Rega, W. Lacarbonara, A. H. Nayfeh and C. M. Chin 1997 International Journal of Nonlinear Dynamics 34, 901-924. Multiple resonances in suspended cables: direct versus reduced-order models.
19. F. Benedettini and G. Rega 1989 Journal of Sound and Vibration 132, 353-366. Planar nonlinear oscillations of elastic cables under superharmonic resonance conditions.
20. L. Meirovitch 1975 Elements of Vibration Analysis. New York: McGraw-Hill.