Using an analytical method, the dynamic characteristics of the unsaturated soil and lining system with a deeply embedded circular tunnel are presented in the frequency domain. Based on Bishop’s effective stress principle and one-phase flow consolidation theory, the motion equations of the unsaturated soil subjected to one-phase flow are established. An analytical solution to the dynamic response of the unsaturated soil subjected to harmonic load is obtained by means of the displacement potential function. The lining structure is treated as a homogeneous elastic medium. Based on elastic theory, the steady-state dynamic response of the cylinder lining structure subjected to harmonic load is obtained. By utilizing the inner boundary condition of the lining structure and the continuity conditions between the soil and the lining, the unknown coefficients in the expressions are determined. Basis on this, the effects of saturation, suction reduction coefficient and the lining thickness on the response amplitudes of unsaturated soil are discussed. It is shown that the response amplitudes of the system decrease gradually as the lining thickness increase. The saturation and suction reduction coefficient have a great effect on the amplitudes of the pore water press, while their effects are small on the amplitudes of radial displacement and hoop stress.
刘洪波1，刘洁 1，闻敏杰2. 深埋圆形隧洞非饱和土-衬砌结构系统的动力特性[J]. 振动与冲击, 2016, 35(13): 36-41.
LIU Hong-bo1, LIU Jie1,WEN Min-jie2 . DYNAMIC CHARACTERISTICS OF UNSATURATED SOIL AND LINING SYSTEM WITH A DEEPLY EMBEDDED CIRCULAR TUNNEL. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(13): 36-41.
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