dynamic response of bridge-ship collision considering pile-soil interaction

according to most countries’ norms, and to find the effect of the bridge collision the equivalent static method was designed for bridge-ship collision, ignoring the dynamic effects of shocks. it is sharply different from actual situation. so based on the theory of winkler foundation, shearing strain theory of timoshenko and potential energy variation functional principle of hamilton, the simulation models of bridge piers was built considering the pile–soil interaction. lateral transient vibration equation of bridge piers was concluded. based on the theory of integral transform, the differential equation of the collision system and the boundary conditions were transformed with laplace transformation; the analytical solution of the stress wave in frequency domain was concluded. and then the inversion of solution in frequency domain was carried out using matlab based on the crump inverse transformation. finally the dynamic response law of displacement, normal stress and the shear stress of bridge piers were obtained.