Abstract
Considering the axial vibration, the partial differential nonlinear vibration equations of the cable excited by the lateral displacement of the end is established. The Galerkin method is used to perform the modal truncation and transform the equations into the ordinary differential nonlinear equations. The typical examples are selected and the vibration characteristics are studied by numerical simulation. The conclusions of the study are as follows: when the frequency ratio is close to 2, the resonance phenomenon occurs. When the frequency ratio is greater than 3, the nonlinear characteristic is obvious. The amplitude of the in-plane vibration of the cable increases with the increase of the excitation amplitude, and small displacement excitation at the end causes large amplitude vibrations in the cable surface. The initial disturbance outside the plane is introduced. When the excitation frequency is close to 2.1 times the natural frequency of the in-plane vibration, the resonance phenomenon occurs and the amplitude is large.
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