In the seismic response analysis of deep-water bridges

it is complex to study the coupling effect if the pier-water interactions are considered.Therefore

in this paper

taking the Fluid-solid coupling effect into account

a FEM model of deep-water pier is established based on the nonlinear Morison equation and Airy wave theory.To solve the nonlinear coupling equation

a new algorithm is proposed with Newmark-β method

and a improved procedures is applied by Ansys and Matlab nonlinear software.Furthermore

with an actual deep-water pier example

the famous Morison Equation is used to analyze hydrodynamic pressure where as a simplified method the water is considered as the added pseudo mass.The results show the seismic responses of bridge pier is notable whether considering the effect of hydrodynamic pressure or not

and the hydrodynamic pressure can remarkably change the occurrence time of earthquake response peak value.While the seismic performance determined by the new way is compared with the old methods

the main conclusions indicate that the maximum displacement of the pier top、the maximum shear and the moment of the pier bottom are all greater

the maximum error of which is up to 12.5%.So the dynamic water has great effect on seismic response of deep-water bridges

and it is necessary to use the new proposed method to study the dynamic analysis of deep-water bridges under earthquake effect.