Nonlinear interactions in the planar dynamics of cable-stayed beam

International Journal of Solids and Structures

Volumn 40, Issue 18, 2003, Pages 4729-4748

  Gattulli, Vincenzo ^a   Lepidi, Marco ^a  

^a UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Autoparametric resonance; Cable stayed beam; Cables; Dynamic interaction; Energy transfer; Galerkin; Nonlinear oscillations; Sensitivity

Indexed keywords

BOUNDARY CONDITIONS; INTEGRODIFFERENTIAL EQUATIONS; OSCILLATIONS; RESONANCE;

CABLE-STAYED BEAMS;

BEAMS AND GIRDERS;

BEAM; DYNAMIC RESPONSE;

EID: 0042313891     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00266-X     Document Type: Article

References (28)

1. Abdel-Ghaffar A.M. Khalifa M.A. Importance of cable vibration in dynamics of cable-stayed beam ASCE, J. Engng. Mech. 117 11 1991 2571-2589
2. Achkire Y. Preumont A. Active tendon control of cable-stayed bridges Earthquake Engng. and Structural Dynamics 25 6 1996 585-597
3. Au F.T.K. Cheng Y.S. Cheung Y.K. Zheng D.Y. On the determination of natural frequencies and mode shapes of cable-stayed bridges Appl. Mathematical Modelling 25 2001 1099-1115
4. Barsotti R. Ligaró S.S. Royer-Carfagni G.F. The web bridge Int. J. Solids and Structures 38 2001 8831-8850
5. Brownjohn J.M.W. Lee J. Cheong B. Dynamic performance of a curved cable-stayed bridge Engng. Structures 21 1999 1015-1027
6. Caetano, E., 2000. Dynamics of cable-stayed bridges: experimental assesment of cable-structure interaction. Ph.D. Thesis, Porto
7. Caetano E. Cunha A. Taylor C.A. Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge: Part I. Modal analysis; Part II. Seismic response Earthquake Engng. and Structural Dynamics 29 2001 499-521
8. Casas J.R. Full scale dynamic testing of the Alamillo cable-stayed bridge in Sevilla (Spain) Earthquake Engng. and Structural Dynamics 24 1 1995 35-51
9. Doedel, E., Kernevez, J.P., 1986. AUTO:Software for continuation and bifurcations problem in ordinary differential equations. Applied Mathematics Report, California Institute of Technology
10. Fujino Y. Warnitchai P. Pacheco B.M. An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beam Nonlinear Dynamics 4 1993 111-138
11. Gattulli V. Morandini M. Paolone A. A parametric analytical model for nonlinear dynamics in cable-stayed beam Earthquake Engng. and Structural Dynamics 31 2002 1281-1300
12. Gattulli V. Paolone A. Planar motion of a cable-supported beam with feedback controlled actions J. Intelligent Material and Structures 8 9 1997 767-774
13. Gattulli V. Pasca M. Vestroni F. Nonlinear oscillations of a nonresonant cable under in-plane excitation with a longitudinal control Nonlinear Dynamics 14 1997 139-156
14. Gentile C. Martinez Y. Cabrera F. Dynamic investigation of a repaired cable-stayed bridge Earthquake Engng. and Structural Dynamics 26 1997 41-59
15. Haddow A.G. Barr A.D.S. Mook D.T. Theoretical and experimental study of modal interaction in a two-degree-of-freedom structure J. Sound and Vibration 97 3 1984 451-473
16. Lepidi, M., Gattulli, V., 2002. Curve veering and crossing in selected eigenvalues problems. Internal Report DISAT, University of L'Aquila
17. Lilien J.L. Pinto da Costa A. Vibration amplitudes caused by parametric excitations of cable stayed structures J. Sound and Vibration 174 1994 69-90
18. Luongo A. Rega G. Vestroni F. Planar nonlinear free vibrations of elastic cable Int. J. Non-linear Mech. 19 1984 39-52
19. Magana M.E. Rodellar J. Nonlinear decentralized active tendon control of cable-stayed bridges J. Structural Control 5 1 1998 45-62
20. Nayfeh A.H. Nonlinear interactions: analytical, computational, and experimental methods 2001 John Wiley
21. Nayfeh A.H. Balachandran B. Experimental investigation of resonantly forced oscillations of a two-degree-of-freedom structure Int. J. Non-linear Mech. 25 1990 199-209
22. Nazmy A.S. Abdel-Ghaffar A.M. Nonlinear earthquake-response analysis of long-span cable-stayed bridges: Part I. Theory; Part II. Applications Earthquake Engng. and Structural Dynamics 19 1990 45-62 63-76
23. Perkins N.C. Modal interactions in the non-linear response of elastic cables under parametric/external excitation Int. J. Non-Linear Mech. 27 1992 233-250
24. Pinto da Costa A. Martins J.A.C. Branco F. Lilien J.L. Oscillations of bridge stay cables induced by periodic motions of deck and/or towers ASCE, J. Engng. Mech. 122 7 1996 613-622
25. Yamaguchi, H., Nishimura, T., Tsutsumi, K., Yamaguchi, K., 2001. Damping effect of coupled cable vibration in a cable-stayed bridge. In: Fourth Symposium on Cable Dynamics, Montreal, CA, pp. 153-160
26. Warnitchai P. Fujino Y. Pacheco B.M. Agret R. An experimental study on active tendon control of cable-stayed bridges Earthquake Engng. and Structural Dynamics 22 1993 93-111
27. Warnitchai P. Fujino Y. Susumpow T. A non-linear dynamic model for cables and its application to a cable-structure system J. Sound and Vibration 187 4 1995 695-712
28. Wolf A. Swift J.B. Swinney H.L. Vastano J.A. Determining Lyapunov exponents from a time series Physica D 16 1985 285-317