A mathematical equation for vibration of submerged floating tunnel tether under the effects of earthquake and parametric excitation is presented.Multi-step Galerkin method is used to simplify this equation and the fourth-order Runge-Kuta integration method is used for numerical analysis.Finally,vibration response of submerged floating tunnel tether subjected to earthquake and parametric excitation is analyzed in a few numerical examples.The results show that the vibration response of tether varies with the seismic wave type;the steady maximum mid-span displacement of tether subjected to seismic wave keeps constant when parametric resonance takes place;the transient maximum mid-span displacement of tether is related to the peak value of input seismic wave acceleration.
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