基于倾角的顶板初次断裂前岩梁跨度反演分析  

Back Analysis of Rock Beam Span Before the First Weighting Based on the Dip Angle

作　　者：张开智[1] 姬松涛[2] 张兆一[2] 孙志帅 潘瑞凯[2] 王树立[2] 

机构地区：[1]贵州理工学院采矿工程学院,贵州贵阳550003 [2]山东科技大学矿业与安全工程学院,山东青岛市266590

出　　处：《矿业研究与开发》2016年第4期94-98,共5页Mining Research and Development

基　　金：国家自然科学基金资助项目(51564004;51374139);贵州省科技厅;贵州理工学院联合基金项目([2014]7370)

摘　　要：针对煤矿工作面超过计算初次来压步距后采空区老顶仍迟迟不垮而带来的安全威胁,取工作面中部单位宽度的岩层为研究对象,给出岩梁倾角计算式,基于岩梁上3点处的倾角及点间距数据,以岩梁真实跨度、弯矩与剪力为求解量,建立非线性方程组,采用牛顿法进行求解,并给出方程初值选取方法及倾角采样点布置策略。算例表明:计算方法有效可行,给定跨度初值2倍于真实跨度的情况下,计算仍然能够精确收敛,算法容错性好,为进一步试验研究与工程实践提供了理论基础及新的思路。When the distance of coal face advance is much longer than the span of the first weighting,and the roof strata above the goaf still remain stable,it would bring serious security threats.According to this problem,the stratum with unit width in the middle of the face was taken as the researching object,and the formula of the beam inclination was given. Based on the inclination data and point spacing of three positions in the beam,a system of nonlinear equations was built,in which the span of rock beam,the bending moment and shear force were considered as variables. Then,the Newton＇s method was used to calculate the equations,and the selected method of initial values and the sampling layout of dip angles were discussed. The calculated examples proved that the method was a feasible choice. Even when the given span was the twice of the real span,the calculation was accurate and convenient,with good fault tolerance. This study provided theoretical basis and a new thought for further experimental research and engineering application.

关 键 词：初次来压 岩层倾角 顶板监测 梁跨度反演 煤矿开采 

分 类 号：TD322.1[矿业工程—矿井建设]