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采用波函数展开法及边界离散的方法给出平面SH波入射下地下衬砌洞室(衬砌内壁为圆形、外壁为任意形状)动应力集中的半解析解,利用蒙特卡罗方法随机模拟产生30组半径变异系数为0.05的衬砌外壁形状样本,通过对衬砌内壁动应力集中因子(DSCF)峰值的统计分析,研究衬砌外壁形状变异性对内壁DSCF峰值的影响。研究表明:洞室衬砌外壁形状变异性对内壁DSCF的峰值大小有重要影响,柔性衬砌情况的影响远大于刚性衬砌情况的影响。柔性衬砌和刚性衬砌样本峰值的最大值比圆形洞室峰值分别增大178.15%和31.98%;柔性衬砌和刚性衬砌样本峰值的变异系数分别可达衬砌外壁半径变异系数的9.84和2.57倍。
A semi-analytical solution of dynamic stress concentration of underground lining caverns (the inner wall of lining is circular and the outer wall is arbitrary) under the condition of plane SH wave incidence is given by using the method of wave function expansion and boundary discretization. Stochastic simulation using Monte Carlo method produces 30 The influence of the shape variation of the lining on the DSCF peak of the inner wall was studied by statistical analysis of the peak value of the dynamic stress concentration factor (DSCF) of the inner wall of the lining. The results show that the shape variation of the outer wall of the tunnel lining has an important influence on the peak value of the inner wall DSCF, and the influence of the flexible lining is much greater than that of the rigid lining. The maximum of peak value of flexible lining and rigid lining increases by 178.15% and 31.98% respectively than the peak value of circular cavern, while the coefficient of variation of peak value of flexible lining and rigid lining respectively reaches 9.84 and 2.57 times respectively.