Non-linear vibrations of suspension bridges with external excitation

International Journal of Non-Linear Mechanics

Volumn 40, Issue 6, 2005, Pages 901-923

  Çevik, Mehmet ^a   Pakdemirli, Mehmet ^b  

^a DOKUZ EYLUL UNIVERSITY   (Turkey)

^b CELAL BAYAR UNIVERSITY   (Turkey)

Author keywords

Nonlinear vibrations; Perturbation techniques; Suspension bridges

Indexed keywords

APPROXIMATION THEORY; DAMPING; ELECTRIC EXCITATION; FREQUENCY RESPONSE; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; SUSPENSION BRIDGES;

BISYMMETRICAL STIFFENING; FLEXURAL-TORSIONAL VIBRATIONS; FREQUENCY-RESPONSE CURVES; NONLINEAR VIBRATIONS;

VIBRATIONS (MECHANICAL);

EID: 15344342253     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.11.002     Document Type: Article

References (17)

1. A.M. Abdel-Ghaffar Suspension bridge vibration continuum formulation ASCE J. Eng. Mech. 108 1982 1215 1232
2. A.M. Abdel-Ghaffar Vertical vibration analysis of suspension bridges ASCE J. Eng. Mech. 106 1980 2053 2075
3. A.M. Abdel-Ghaffar Free lateral vibrations of suspension bridges ASCE J. Eng. Mech. 104 1978 503 525
4. A.M. Abdel-Ghaffar Free torsional vibrations of suspension bridges ASCE J. Eng. Mech. 105 1979 767 788
5. H.H. West, J.E. Suhoski, and L.F. Geschwinder Natural frequencies and modes of suspension bridges ASCE J. Struct. Eng. 110 1984 2471 2486
6. A.M. Abdel-Ghaffar, and L.I. Rubin Nonlinear free vibrations of suspension bridges theory ASCE J. Eng. Mech. 109 1983 313 329
7. A.M. Abdel-Ghaffar, and L.I. Rubin Nonlinear free vibrations of suspension bridges application ASCE J. Eng. Mech. 109 1983 330 345
8. A.C. Lazer, and A.S. McKenna Large-amplitude periodic oscillations in suspension bridges some new connections with non-linear analysis SIAM Rev. 32 1990 537 578
9. J.M.W. Brownjohn Observations on non-linear dynamic characteristics of suspension bridges Earthquake Eng. Struct. Dynamics 23 1994 1351 1367
10. Y.A. Rossikhin, and M.V. Shitikova Analysis of non-linear free vibrations of suspension bridges J. Sound Vibr. 186 1995 369 393
11. A.H. Nayfeh, J.F. Nayfeh, and D.T. Mook On methods for continuous systems with quadratic and cubic non-linearities Nonlinear Dynamics 3 1992 145 162
12. M. Pakdemirli, S.A. Nayfeh, and A.H. Nayfeh Analysis of one-to-one autoparametric resonances in cables -discretization versus direct treatment Nonlinear Dynamics 8 1995 65 83
13. A.H. Nayfeh, S.A. Nayfeh, and M. Pakdemirli On the discretization of weakly non-linear spatially continuous systems N.S. Namachchivaya W. Kliemann Nonlinear Dynamics and Stochastic Mechanics 1995 CRC Press Boca Raton, FL 175 200
14. M. Pakdemirli A comparison of two perturbation methods for vibrations of systems with quadratic and cubic non-linearities Mech. Res. Commun. 21 1994 203 208
15. M. Pakdemirli, and H. Boyaci Comparison of direct-perturbation methods with discretization-perturbation methods for non-linear vibrations J. Sound Vibr. 186 1995 837 845
16. A.H. Nayfeh Introduction to Perturbation Techniques 1981 Wiley-Interscience New York
17. A.M. Abdel-Ghaffar, and R.H. Scanlan Ambient vibration studies of Golden Gate Bridge, I. suspended structure ASCE J. Eng. Mech. 111 1985 463 482