Response of Shallow-Buried Circular Lining Tunnel to Incident PWave

Abstract

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.