基于MATLAB定量分析采场复杂力学问题的方法研究

摘要

以煤矿地下开采实测数据或数值模拟输出数据为基础，以采场顶板“梁模型假说”为背景，利用MATLAB软件在曲线拟合、多项式插值、微积分和求方程解等方面的强大功能，将实测或数值计算得出的采场顶梁载荷的离散数据拟合成曲线函数，并通过积分找出梁上剪力和弯矩的分布曲线，求出剪力值和弯矩值，同时通过求根的方法解出剪力和弯矩最大值，找出剪力和弯矩最大值的位置，实现采场顶梁受非线性分布载荷作用下的复杂力学问题的定量分析，为预测顶梁破坏提供了更为精确的方法。%Based on the measured data or numerical simulate results of underground mining of coal mine,taking the "beam model hypothesis"of stope roof as the research background,using the functions of curve fitting,polynomial interpolation,differential and integral calculus and solve equation of MATLAB software,the curve function of the discrete data of stope roof beam load obtained by actual measurement or numerical calculation are obtained,the distributive curve of shear and bending moment on the beam is ob-tained by integral operation,the shear value and bending moment value are acquired,besides that,the maximum value of shear and bending moment are calculated by using the roof value calculation method, and the location of the maximum value of shear and bending moment are also determined.The goal of the quantitative analysis of complex mechanical problems of stope roof under the nonlinear distributed load-ings is achieved,which provide a more accurate method to predict roof beam damage.