岩石力学与工程学报
巖石力學與工程學報
암석역학여공정학보
CHINESE JOURNAL OF ROCK MECHANICS AND ENGINEERING
2015年
z1期
3160-3168
,共9页
岩石力学%地下衬砌洞室%衬砌外壁形状%变异性%动应力集中因子%波函数展开法%半解析解%蒙特卡罗方法
巖石力學%地下襯砌洞室%襯砌外壁形狀%變異性%動應力集中因子%波函數展開法%半解析解%矇特卡囉方法
암석역학%지하츤체동실%츤체외벽형상%변이성%동응력집중인자%파함수전개법%반해석해%몽특잡라방법
rock mechanics%underground lined cavity%outer-wall shape of lining%variation%dynamic stress concentration factors(DSCF)%wave function expansion method%semi-analytical solution%Monte Carlo method
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。
採用波函數展開法及邊界離散的方法給齣平麵SH波入射下地下襯砌洞室(襯砌內壁為圓形、外壁為任意形狀)動應力集中的半解析解，利用矇特卡囉方法隨機模擬產生30組半徑變異繫數為0.05的襯砌外壁形狀樣本，通過對襯砌內壁動應力集中因子(DSCF)峰值的統計分析，研究襯砌外壁形狀變異性對內壁DSCF峰值的影響。研究錶明：洞室襯砌外壁形狀變異性對內壁DSCF的峰值大小有重要影響，柔性襯砌情況的影響遠大于剛性襯砌情況的影響。柔性襯砌和剛性襯砌樣本峰值的最大值比圓形洞室峰值分彆增大178.15%和31.98%；柔性襯砌和剛性襯砌樣本峰值的變異繫數分彆可達襯砌外壁半徑變異繫數的9.84和2.57倍。
채용파함수전개법급변계리산적방법급출평면SH파입사하지하츤체동실(츤체내벽위원형、외벽위임의형상)동응력집중적반해석해，이용몽특잡라방법수궤모의산생30조반경변이계수위0.05적츤체외벽형상양본，통과대츤체내벽동응력집중인자(DSCF)봉치적통계분석，연구츤체외벽형상변이성대내벽DSCF봉치적영향。연구표명：동실츤체외벽형상변이성대내벽DSCF적봉치대소유중요영향，유성츤체정황적영향원대우강성츤체정황적영향。유성츤체화강성츤체양본봉치적최대치비원형동실봉치분별증대178.15%화31.98%；유성츤체화강성츤체양본봉치적변이계수분별가체츤체외벽반경변이계수적9.84화2.57배。
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 onDSCF 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 ofDSCF 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 ofDSCF 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.
