基于复变函数法的矩形巷道应力集中系数黏弹性分析  

Viscoelastic Analysis of Stress Concentration Coefficient in Rectangular Roadway Based on Complex Variable Function

作　　者：袁林[1] 高召宁[1] 孟祥瑞[1] 

机构地区：[1]安徽理工大学能源与安全学院,安徽淮南232001

出　　处：《煤矿安全》2013年第2期196-199,203,共5页Safety in Coal Mines

基　　金：国家自然科学基金资助项目(51074003;51074005);国家自然科学基金委员会与神华集团有限公司联合资助项目(51174255);高等学校博士学科点专项科研基金资助项目新教师类(20093415120001);安徽省优秀青年科技基金资助项目(10040606Y31);中国博士后科学基金资助项目(2011M501037);淮南市科技计划资助项目(2011A07921)

摘　　要：煤矿深部开采中矩形巷道变形严重,但是现有弹塑性理论都是对圆形或椭圆形巷道进行的理论应力分析。复变函数方法能处理复杂形状边界的力学问题,为了解决矩形巷道的围岩稳定问题,利用复变函数理论对矩形巷道进行应力分析。通过复变函数和黏弹性理论推导出矩形巷道的周边应力集中系数,并分析了应力集中系数和时间、不同θ值的关系,研究结果表明:应力集中系数随时间而降低,两帮的应力集中系数要大于顶底板。Rectangular roadway deformation is serious in deep mining, but the existing elastic - plastic theories are tor the cireular or el-liptical roadways＇ stress analysis. Complex variable function method can deal with the mechanical problems of complex boundary shape. In order to solve the problem of rectangular roadway surrounding rock＇s stability, the complex variable function theory is used to analyze the stress of rectangular roadway. By means of complex variable function and viscoelastic theory, the rectangular roadway＇s stress con- centration coefficient is derived, and the relations between stress concentration coefficient and time, different θ value are analyzed. The research results show that the stress concentration coefficient is decreased with time, the two sides of the roadway＇s stress concentration coefficient is bigger than coefficient in the roof and floor.

关 键 词：矩形巷道 保角映射 复变函数 黏弹性 应力集中系数 

分 类 号：TD322[矿业工程—矿井建设]