P波作用下浅埋圆形衬砌隧道动力反应分析

以动力作用下半无限空间中的圆形衬砌隧道为原型,采用波函数展开法,通过大圆弧假定,推导出平面P波作用下半空间和衬砌中散射波的级数表达式。利用边界条件,将隧道动力反应问题归结为对一组无穷代数方程组的求解。结合具体算例,从理论上定量分析了垂直入射P波作用下,埋深、衬砌刚度以及入射频率对浅埋隧道衬砌内壁环向动应力分布的影响。

Dynamic Analysis of Shallow Buried Circular Lining Tunnel with Vertical Incident P Wave

Select circular lined tunnel in semi-infinite half-space under dynamic force as proto type,a series solution for scatting wave in semi-infinite half-space and lining is derived by wave expansion method under the assumption of larger circular arc. And then, combining the boundary conditions, the tun nel dynamic response problem is reduced to the solution of series of algebraic equations. At last, the effect of buried depth, lining rigidity and incident frequency upon ring dynamic stress in the inner surface of lining due to the incident plane P wave is quantitatively analyzed from the view of theory in a typical ease.