At present,the analytical solutions of tunnel dynamic response under blasting disturbance are mostly steadystate.However,the actual blasting disturbance propagates in engineering construction are in the form of transient wave,and most of the tunnels are lined Meanwhile,the study of transient solution mainly concentrates on unlined tunnel,but most tunnels have lining in practical engineering.Therefore,taking the deep buried circular lined tunnel as the research object,the analytical solution of tunnel transient dynamic response under plane blasting P-wave disturbance is studied by combining wave function expansion method with trapezoidal quadrature.In addition,by analyzing the wave field in the lining and surrounding rock when plane P-wave incident and considering the boundary conditions of interaction between the lining and surrounding rock,the relevant parameters of steady-state response are determined.Furthermore,on the basis of the steady-state solution,a transient analytical solution of the dynamic response of a deep buried circular liner tunnel under plane blast P-wave perturbation is obtained by applying the trapezoidal quadrature method.The dynamic response of the dynamic stress concentration coefficient,radial and circumferential vibration velocity in the tunnel liner and surrounding rock contact surface and tunnel are then analyzed.The results show that:the theoretical solution in this paper are consistent with those obtained by FLAC and CASRock simulations,which verifies the feasibility and correctness of proposed method.Besides,the tensile stress concentration occurs in both sides of the tunnel during the dynamic disturbance,and the compressive stress concentration mainly occurs on the top and bottom slabs.The radial velocity vibration at both sides of the tunnel is significantly larger than that on the tunnel top,and the circumferential velocity vibration increases first and then decreases to zero with the addition and removal of the blast load.In a word,the analytical results can provide a theoretical basis for the support of deep-buried tunnels.