Non-linear vibrations of suspension bridges with external excitation

Cevik M., Pakdemirli M.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.40, sa.6, ss.901-923, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 6
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.ijnonlinmec.2004.11.002
  • Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.901-923
  • Anahtar Kelimeler: nonlinear vibrations, suspension bridges, perturbation techniques, PERTURBATION-METHODS, DISCRETIZATION
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

Non-linear coupled vertical and torsional vibrations of suspension bridges are investigated. Method of Multiple Scales, a perturbation technique, is applied to the equations to find approximate analytical solutions. The equations are not discretized as usually done, rather the perturbation method is applied directly to the partial differential equations. Free and forced vibrations with damping are investigated in detail. Amplitude and phase modulation equations are obtained. The dependence of nonlinear frequency on amplitude is described. Steady-state solutions are analyzed. Frequency-response equation is derived and the jump phenomenon in the frequency-response curves resulting from non-linearity is considered. Effects of initial amplitude and phase values, amplitude of excitation, and damping coefficient on modal amplitudes, are determined. (c) 2005 Elsevier Ltd. All rights reserved.