矩形巷道孔边应力的弹性分析  

Elastic analysis of hole-edge stress of rectangular roadway

作　　者：施高萍[1] 祝江鸿[2] 李保海 杨建辉[2] 

机构地区：[1]浙江水利水电学院机械与汽车工程学院,杭州310018 [2]浙江科技学院建筑工程学院,杭州310023 [3]杭州市城建材料采购中心,杭州310003

出　　处：《岩土力学》2014年第9期2587-2593,2601,共8页Rock and Soil Mechanics

基　　金：浙江省自然科学基金资助项目(No.LY14E080012);浙江省科技厅面上基金资助项目(No.2008C23009);浙江省2013年高等学校访问学者专业发展项目(No.FX2013201)

摘　　要：对已有的矩形巷道孔边应力研究成果进行了归纳,并提出其存在的问题。在此基础上,利用隧洞围岩应力复变函数分析法中的解析函数通式和单位圆外域-洞室外域共形映射函数计算方法,计算了不同跨高比和侧压力系数下的矩形巷道孔边应力,分析并获得了其对孔边应力分布的影响规律。给出了原岩垂直应力分量0p和水平分量0?p单独作用下矩形巷道顶板和侧帮中点的应力集中系数,并与相关研究结果进行了比较分析,结果表明,矩形巷道的计算断面与理论断面边界线间的误差对孔边应力计算值有较大的影响。采用共形映射函数计算方法获得的计算断面更逼近理论断面,采用解析函数通式进行围岩应力计算时不产生精度损失,研究成果更接近于矩形巷道理论值,可供巷道设计及围岩稳定性分析作理论参考。Previous researches on the hole-edge stress of rectangular roadway are summed up and the existing problems among them are presented. On this base, the general formulas of analytic functions are used to calculate the surrounding rock stresses around caverns with the function of complex variable, the hole-edge stresses are solved for rectangular roadways with variable span-depth ratios and lateral pressure coefficients through the calculating method for conformal mapping from exterior of unit circle to exterior of cavern with arbitrary excavation cross-section. Then distribution rules of hole-edge stresses influenced by variable span-depth ratios and lateral pressure coefficients are obtained. Stress concentration factors of midpoints in roofs and lateral walls are provided when vertical stress component 0p and horizontal stress component 0？p are individually acted on the rectangular roadways;and their results are compared with those in literatures. It is showed that the calculated values of hole-edge stresses are dramatically affected by the boundary errors between the calculated cross-sections and the accordingly theoretical cross-sections. In this study, the calculated cross-sections obtained by the calculating method for conformal mapping approximate more to the accordingly theoretical cross sections, and accuracy loss will not be caused when surrounding rock stresses are solved by the general formulas of analytic functions. So these research results are much closer to the theoretical values for rectangular roadways; and they can be valuably employed in the stability analysis of surrounding rock and the designs on roadways theoretially.

关 键 词：弹性分析 矩形巷道 孔边应力 解析函数 共形映射 

分 类 号：TD352[矿业工程—矿井建设]