Study on critical failure vibration velocity of arch with vertical wall lining subjected to blasting vibration

The function of complex variable and stress wave theory are employed to study the stress and vibration velocity distribution of arch with vertical wall lining(AVWL) induced by blasting vibration; then the critical failure vibration velocity of AVWL is gotten when the incidence angles of incident wave are different. Firstly, the AVWL is mapped into a circularity whose outside radius is bigger than 1 but inside radius is equal to 1, and then the dynamical response of the circularity is solved under the acting of harmony P wave. The result shows that the incidence angle of incident wave has large influence on failure vibration velocity of AVWL, when the incidence angle is 90 degrees, 0 degrees, 270 degrees, the critical failure vibration velocity of lining is decrease by degrees.