煤柱-顶板系统失稳的突变理论模型研究

Study on catastrophic theory model of instability of coal pillar and roof system

假设顶板岩层处于弹性工作状态情况下,建立了煤柱-顶板系统的力学模型。根据力学模型,应用突变理论建立了条带煤柱突变破坏失稳的尖点突变模型,导出了条带煤柱破坏失稳的主要条件表达式。分析表明,煤柱失稳与条带煤柱顶板的受破坏程度有关,煤层顶板受开采扰动的影响产生塑性区,塑性区越大,其弹性刚度kd越小,越易发生突变失稳。

The roof rock was assumed in the elastic state, established the mechanical model of coal pillar and roof system. Based on the mechanical model, by applying catastrophic theory, a cusp catastrophic model for failure instability of strip coal pillar was set up, the formula of fully essential condition for instability failure of strip coal pillar was derived. The analysis show that coal pillar instability connect with the failure degree of strip coal pillar roof, because of influence by mining, roof incidence the plastic zone, the plastic zone more width, its elastic stiffness kd more small, the more easy occurrence catasophic instability.