In Plane Parametric Vibration of Horizontal Cable in Terms of the First Two Modes Composition

The in plane parametric vibration of travel cable was investigated in the paper considering the coupling of cables and deck. Firstly, the nondimensionalized nonlinear equation of cable-bridge coupled parametric vibration was erected out of consideration for multimode composition. And then the Galerkin method was introduced to simplify the model. Eventually, the numerical simulation of the cable parametric vibration response was set in the practical engineering. The results show that: while the ratio of the frequency of mass block on deck to the cable first-order frequency is 2 to 1, the cable first two mode displacement and mass block all display the beat vibration phenomenon and give priority to the first-order mode. However, while the frequency ratio is 4 to 1, the beat vibration comes out only in the second-order modal displacement and mass block, and the second-order mode behaves as the master mode. Thus, during bridge design, the multimodal parametric vibration study has great theoretical significance and construction value.