Nonlinear oscillations of cables under harmonic loading using analytical and finite element models

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 1-2, 2004, Pages 69-85

  Gattulli, Vincenzo ^a   Martinelli, Luca ^b   Perotti, Federico ^b   Vestroni, Fabrizio ^c  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b POLITECNICO DI MILANO   (Italy)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Bifurcations; Cables; Finite element models; Nonlinear oscillations; Reduced order models

Indexed keywords

CABLES; DEGREES OF FREEDOM (MECHANICS); DYNAMIC LOADS; FINITE ELEMENT METHOD; HARMONIC ANALYSIS; KINEMATICS; MATHEMATICAL MODELS; RESONANCE;

HARMONIC LOADING; SPATIAL RESPONSE;

OSCILLATIONS;

FINITE ELEMENT METHOD;

EID: 0346885975     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.09.008     Document Type: Article

References (28)

1. Luongo A. Rega G. Vestroni F. Parametric analysis of large amplitude free vibrations of a suspended cable Internat. J. Solids and Structures 20 1984 95-105
2. Takahashi K. Konishi Y. Non-linear vibrations of cables in three dimensions, part I: Non-linear free vibrations; part II: Out-of-plane vibrations under in-plane sinusoidally time-varying load J. Sound Vibration 118 1987 69-84
3. Perkins N.C. Modal interactions in the non-linear response of elastic cables under parametric/external excitation Internat. J. Non-Linear Mech. 27 1992 233-250
4. Lee C.L. Perkins N.C. Three-dimensional oscillations of suspended cables involving simultaneous internal resonances Nonlinear Dynamics 8 1995 45-63
5. Benedettini F. Rega G. Alaggio R. Non-linear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions J. Sound Vibration 182 1995 775-798
6. Rega G. Alaggio R. Benedettini F. Experimental investigation of the nonlinear response of a hanging cable. Part I: Local analysis Nonlinear Dynamics 14 1997 89-117
7. 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
8. Nayfeh A.H. Arafat H.N. Chin C.M. Lacarbonara W. Multimode interactions in suspended cables J. Vibration Control 8 2002 337-387
9. Pasca M. Vestroni F. Gattulli V. Active longitudinal control of wind-induced oscillations of a suspended cable Meccanica 33 1998 255-266
10. Chang W.K. Ibrahim R.A. Afaneh A.A. Planar and non-planar non-linear dynamics of suspended cables under random in-plane loading--I. Single internal resonance Internat. J. Non-Linear Mech. 31 1996 837-859
11. Pakdemirli M. Nayfeh S.A. Nayfeh A.H. Analysis of one-to-one autoparametric resonances in cables--discretization versus direct treatment Nonlinear Dynamics 8 1995 65-83
12. Boivin N. Pierre C. Shaw S.W. Nonlinear normal modes, invariance, modal dynamics approximations of non-linear systems Nonlinear Dynamics 8 1995 315-346
13. Steindl A. Troger H. Methods for dimension reduction and their application in nonlinear dynamics Internat. J. Solids and Structures 38 2001 2131-2147
14. Rega G. Lacarbonara W. Nayfeh A.H. Chin C.M. Multiple resonances in suspended cables: Direct versus reduced-order models Internat. J. Non-Linear Mech. 34 1999 901-924
15. Gattulli V. Vestroni F. Nonlinear strategies for longitudinal control in the stabilization of an oscillating suspended cable Dynamics and Control 10 4 2000 359-374
16. Desai Y.M. Popplewell N. Shah A. Buragohain D.N. Geometric nonlinear analysis of cable supported structures Computer - Structures 29 6 1988 1001-1009
17. Martinelli L. Perotti F. Numerical analysis of the non-linear dynamic behaviour of suspended cables under turbulent wind excitation Internat. J. Structural Stability and Dynamics 1 2001 207-233
18. E. Doedel, J.P. Kernevez, AUTO: Software for continuation and bifurcations problem in ordinary differential equations, Applied Math. Report, California Institute of Technology, 1986
19. Nayfeh A.H. Balachandran B. Applied Nonlinear Dynamics 1995 Wiley
20. Irvine H.M. Cable Structures 1981 The MIT Press Cambridge
21. Wood R.D. Zienkiewicz O.C. Geometrically nonlinear finite element analysis of beam, frames, arches and axisymmetric shells Computer - Structures 7 1977 725-735
22. Schrefler B.A. Odorizzi S. Wood R.D. A total lagrangian geometrically non-linear analysis of combined beam and cable structures Computer - Structures 17 1 1983 115-127
23. Hilber H.M. Hughes T.J.R. Taylor R.L. Improved numerical dissipation for time-integration algorithms in structural dynamics Earthquakes Engineering - Structural Dynamics 5 1977 283-293
24. Benedettini F. Rega G. Planar non-linear oscillations of elastic cables under superharmonic resonance conditions J. Sound Vibration 132 3 1989 353-366
25. Rega G. Benedettini F. Planar non-linear oscillations of elastic cables under subharmonic resonance conditions J. Sound Vibration 132 3 1989 367-381
26. Gattulli V. Vestroni F. Analytical and experimental studies for non-collocated control of cable oscillations Bourquin F. Second European Conference on Structural Control 2000 World Scientific River Edge
27. Iyengar R.N. Visweswara Rao G.V. Free vibrations and parametric instability of a laterally loaded cable J. Sound Vibration 127 1988 231-243
28. Gehle R.W. Masri S.F. Active control of shallow, slack cable using the parametric control of end tension Nonlinear Dynamics 17 1997 77-94