中文摘要：

基于Biot理论,分析研究了衬砌与饱和土体弹性模量之比的变化对衬砌隧洞动力响应的影响。假定隧洞衬砌为弹性体,土体为饱和多孔介质,结合边界条件及连续条件,通过傅立叶变换得到频率-波数域中衬砌和土体的应力、位移和孔隙水压力等动力响应解答,最后用傅立叶积分逆变换得到时-空域中圆形衬砌隧洞在移动环形荷载作用下的动力响应的数值解。数值分析结果表明,两种介质弹性模量之比的变化导致衬砌隧洞的刚度发生变化,从而引起隧洞动力响应变化。

英文摘要：

Based on Biot＇s wave theory,this paper studies the impact on the dynamic responses of lined tunnel by changing the ratios of elastic modulus between the lining and saturated soil mass.This study simulated the lining of a circular tunnel as elastic body and the soil as saturated porous medium.According to the boundary conditions and continuity condition,the analytical solutions of dynamic responses such as stresses,displacements,and pore water pressures and so on of the circular lined tunnel under the moving ring load were derived in frequency and wave-number domain by using Fourier transformation.Numerical results of the dynamic responses in the time space domain were obtained by inverse Fourier transformation.Results of numerical examples show that dynamic responses of the tunnel will be changed with the stiffness change of the tunnel lining due to the change of the ratios between modulus of two media.