Abstract: According to the basic equation of dynamics,using FEM and NEWMARK implicit algorithm,an elastic-plastic numerical analysis was made to analyze the response magnified area of the vibration isolation construction of open trenches for the vibration induced by vehicle dynamic loads.In order to reduce the effect of wave reflecting on artificial boundaries,transmitting boundary and semi-infinite elements were respectively used to treat the lateral and underside boundaries.The position,depth and the width of open trenches were the three mainly considered factors.Finally,on the basis of the numerical calculation results,their effects laws were analyzed.