Taking the circular lining tunnel in half-space as prototype, this paper investigates the dynamic responses of this tunnel. A series solution for the scatting waves in half-space and the lining is derived by wave expansion method under the assumption of the large circular arc. And then, combining the boundary conditions, the tunnel dynamic response is shift to seeking the solution of series of algebraic equations. Finally, the effects of buried depth, lining rigidity and incident frequency upon the dynamic hoop stress in the inner lining surface caused by incident plane Pwave is quantitatively analyzed from the view of theory in a typical case.
The nonlinear seismic response of transverse slope at secund tunnel portal is first studied with dynamic finite element method under conditions of horizontal, vertical and both horizontal and vertical input, and then the dynamic safety factors of the most dangerous slide face which vary with time are researched after adding the field of static stress. For the purpose of dynamic stability evaluation, the total average dynamic safety factor and the permanent displacement are bring forward and used in this paper. At last, the model of dynamic response analysis and stability evaluation is built for transverse slope at secund tunnel portal.
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