矩形巷道孔边应力的弹性分析

›› 2014, Vol. 35 ›› Issue (9): 2587-2593.

矩形巷道孔边应力的弹性分析

施高萍¹，祝江鸿²，李保海³，杨建辉²

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

收稿日期:2014-02-18 出版日期:2014-09-10 发布日期:2014-09-16
作者简介:施高萍，女，1978年生，硕士，副教授，主要从事CAD/CAM/CAE及工程力学的教学与研究工作。
基金资助:
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）。

Elastic analysis of hole-edge stress of rectangular roadway

SHI Gao-ping¹, ZHU Jiang-hong², LI Bao-hai³, YANG Jian-hui²

1. School of Machinery and Automobile Engineering, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China; 2. School of Civil Engineering and Architecture, Zhejiang University of Science and Technology, Hangzhou 310023, China; 3. Hangzhou City Building Materials Procurement Center, Hangzhou 310003, China

Received:2014-02-18 Online:2014-09-10 Published:2014-09-16

摘要/Abstract

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和水平分量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。

关键词: 弹性分析, 矩形巷道, 孔边应力, 解析函数, 共形映射

Abstract: 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 and horizontal stress component 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.

Key words: elastic analysis, rectangular roadway, hole-edge stress, analytic function, conformal mapping

中图分类号:

TD 352

施高萍，祝江鸿，李保海，杨建辉,. 矩形巷道孔边应力的弹性分析[J]. , 2014, 35(9): 2587-2593.

SHI Gao-ping , ZHU Jiang-hong , LI Bao-hai , YANG Jian-hui,. Elastic analysis of hole-edge stress of rectangular roadway[J]. , 2014, 35(9): 2587-2593.

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