论文部分内容阅读
为预测空场法采矿时矿柱破坏规律及失稳分析,运用断裂力学及突变理论建立了矿柱失稳的尖点突变模型.将开采厚度远小于采场跨度的空场法采场假定为无限大板上相隔一定间距的共线裂纹,采用断裂力学Ⅰ型裂纹模型,得出了矿柱破坏宽度的计算公式;基于突变理论以失稳阻抗因子和矿柱破坏发展因子为控制变量,矿柱应力强度比Fq为状态变量建立了矿柱失稳的尖点突变模型,研究表明:当Fq>1,矿柱会发生失稳;当Fq<1时,矿柱不会发生失稳.实例分析表明利用该模型对矿柱稳定性进行分析,其结果满足工程要求.
In order to predict the failure law and instability analysis of pillars during the mining process by using the open field method, the discontinuity cusp catastrophe model is established by using fracture mechanics and catastrophe theory. Based on the catastrophe theory, based on the catastrophe theory, the development factor of instability impedance factor and pillar breakage is taken as the control variable, and the ore The column stress intensity ratio Fq is a state variable that establishes the cusp catastrophe model of ore pillar instability. The research shows that when Fq> 1, the ore pillar will instability, and when Fq <1, the ore pillar will not instability. Analysis shows that the model is used to analyze the stability of pillars and the results meet the requirements of the project.