Effects of Damping on Large Amplitude Vibration of Stay Cables

Aiming at large amplitude cable vibration induced due to oscillation of deck,the in-plane nonlinear governing equations of cables under the parametric and forced exciting were derived,in which the static sag and the geometric nonlinearity of the cable were considered and the simple connection condition and boundary condition of the cables and deck were taken into account.And the multi-scale perturbation method was applied to analyze the parametric and forced resonances of stay cables.The effects of damping on large amplitude vibration of a short span stayed cable and a long span stayed cable were investigated.The analytical and numerical results show that the add of damping of cables increases the excitation amplitudes needed to stimulate the large amplitude vibration of stay cable,and that the security extent of the shake amplitude of deck is augmented.