【摘要】 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。更多还原

【Abstract】 A semi-analytical solution for dynamic stress concentration factors(DSCF) of underground lined cavity in half-space for incident plane SH waves is presented using wave functions expansion method combined with boundary discrete method. The cavity is with circular inner wall and arbitrary-shape outer wall of the lining. The Monte Carlo method is also used to randomly generate 30 samples of variation coefficient of 0.05 for outer-wall shape of lining,and the effect of outer-wall shape variation of lining on DSCF peak values are studied by statistical analysis. It is shown that,the outer-wall shape variation of lining has significant effect on the inner-wall DSCF peak values,with larger effect for flexible lining than stiff lining. The maxima of DSCF peak values for flexible and stiff lining are increased by 178.15% and 31.98%,respectively,compared with the case of a completely circular linings. The variation coefficients of DSCF peal values for flexible and stiff lining can be up to 9.84 and 2.57 times of those of outer-wall radius of the lining.更多还原