摘要
为了研究深部矩形巷道的围岩稳定性,采用复变函数的保角映射函数,将ξ平面上的矩形小孔,映射为z平面上的单位圆。通过弹性力学的方法,将矩形单孔问题简化为在无限域内孔周边的应力问题,并结合鲍尔丁-汤姆逊黏弹性模型,得出深部矩形巷道围岩的应力分布。研究表明:矩形巷道的围岩应力状态变化与矩形的宽高比和测压系数有直接的关系;并运用数学软件mathmatic,将表达式图形化,直观的看出工作面周边应力分布情况。
In order to study the surrounding rock stability of deep rectangular roadway, using the conformal mapping function of complex variables function, the rectangular holes on s~ plane are mapped as unit circle of z plane. Through the method of elastic mechanics, rectangular puckering problem is simplified as stress problem around the inner hole in infinite domain; combining with Christopher balding joule - thomson viscoelasticity model, a deep rectangular roadway surrounding rock stress distribution is drawn. Studies show that the stress state change of rectangular roadway surrounding rock has direct relationship with the aspect ratio of rectangular roadway and pressure coefficient; and using mathematical software mathematic, stress distribution around working face can be seen intuitively by graphical expression.
出处
《煤矿安全》
CAS
北大核心
2015年第5期43-45,49,共4页
Safety in Coal Mines
关键词
矩形巷道
复变函数
保角变换
黏弹性分析
巷道支护
rectangular tunnel
complex variables function
conformal mapping
viscoelasticity analysis
roadway support
