Nonlinear longitudinal/transversal modal interactions in highly extensible suspended cables

Journal of Sound and Vibration

Volumn 310, Issue 1-2, 2008, Pages 230-242

  Srinil, Narakorn ^a   Rega, Giuseppe ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; HARMONIC ANALYSIS; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; NUMERICAL METHODS;

MATERIAL PROPERTIES; RESONANT DYNAMICS; SUSPENDED CABLES;

ELECTRIC CABLES;

EID: 36248941997     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.07.056     Document Type: Article

References (16)

1. Burgess J.J., and Triantafyllou M.S. The elastic frequencies of cables. Journal of Sound and Vibration 120 (1988) 153-165
2. Al-Qassab M., and Nair S. Wavelet-Galerkin method for free vibrations of elastic cable. ASCE Journal of Engineering Mechanics 129 (2003) 350-357
3. Lacarbonara W., Paolone A., and Vestroni F. Elastodynamics of non-shallow suspended cables: linear modal properties. ASME Journal of Vibration and Acoustics 129 (2007) 425-433
4. Lin H.P., and Perkins N.C. Free vibration of complex cable/mass systems: theory and experiment. Journal of Sound and Vibration 179 (1995) 131-149
5. Triantafyllou M.S., and Yue D.K.P. Damping amplification in highly extensible hysteretic cables. Journal of Sound and Vibration 186 (1995) 355-368
6. Rega G. Nonlinear dynamics of suspended cables, Part I: Modeling and analysis and Part II: Deterministic phenomena. ASME Applied Mechanics Review 57 (2004) 443-514
7. Irvine H.M., and Caughey T.K. The linear theory of free vibrations of a suspended cable. Proceeding of the Royal Society of London Series A 341 (1974) 229-315
8. Srinil N., and Rega G. The effects of kinematic condensation on internally resonant forced vibrations of shallow horizontal cables. International Journal of Non-Linear Mechanics 42 (2007) 180-195
9. Newberry B.L., and Perkins N.C. Investigation of resonant tensioning in submerged cables subjected to lateral excitation. International Journal of Offshore and Polar Engineering 7 (1997) 48-53
10. Tjavaras A.A., Zhu Q., Liu Y., Triantafyllou M.S., and Yue D.K.P. The mechanics of highly-extensible cables. Journal of Sound and Vibration 213 (1998) 709-737
11. Srinil N., and Rega G. Two-to-one resonant multi-modal dynamics of horizontal/inclined cables, Part II: Internal resonance activation, reduced-order models and nonlinear normal modes. Nonlinear Dynamics 48 (2007) 253-274
12. Srinil N., Rega G., and Chucheepsakul S. Two-to-one resonant multi-modal dynamics of horizontal/inclined cables, Part I: Theoretical formulation and model validation. Nonlinear Dynamics 48 (2007) 231-252
13. N. Srinil, R. Alaggio, G. Rega, Experimental linear/nonlinear dynamics of an extensible sagged inclined cable, Proceedings of the Seventh International Symposium on Cable Dynamics, Vienna, Austria, 2007, to appear.
14. Rega G., and Srinil N. Nonlinear hybrid-mode resonant forced oscillations of sagged inclined cables at avoidances. ASME Journal of Computational and Nonlinear Dynamics 2 (2007) 324-336
15. Rega G., Lacarbonara W., and Nayfeh A.H. Reduction methods for nonlinear vibrations of spatially continuous systems with initial curvature, IUTAM Symposium on Recent Developments in Nonlinear Oscillations of Mechanical Systems. In: Van Dao N., and Kreuzer E.J. (Eds). Solid Mechanics and Its Applications Vol. 77 (2000), Kluwer, Dordrecht 235-246
16. Leamy M.J., and Gottlieb O. Internal resonances in whirling strings involving longitudinal dynamics and material non-linearities. Journal of Sound and Vibration 236 (2000) 683-703