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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。
In view of the coal mine working face surpassing the safety threat caused by the collapse of the roof of the goaf beyond the initial pressure step, taking the unit width of the middle face of the working face as the research object, Based on the data of dip angle and point spacing at 3 o’clock on the rock beam, the actual span, bending moment and shear force of the rock beam are taken as the solution to establish the nonlinear equations, which are solved by Newton’s method. The initial value selection method and inclination Sample point layout strategy. The example shows that the calculation method is effective and feasible. When the initial span of a given span is twice as large as the true span, the calculation can still be accurately converged and the algorithm has good fault tolerance. This provides a theoretical basis and a new way of thinking for further experimental research and engineering practice.