尖点突变理论在浅埋煤层周期来压步距研究中的应用
Application of Cusp Catastrophe Theory in the Research of Periodic Weighting Step in Shallow Seams
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摘要: 以陕北浅埋煤层为背景, 运用尖点突变理论分析采场基岩周期来压步距, 首先将基岩的周期性来压视为悬臂梁的周期性破断。通过建立基岩破断的力学模型, 得到了表征断裂过程的势函数, 定量得到了基岩周期来压极限跨距必要条件。最后与工程实例的实测结果对比分析, 说明应用突变理论分析浅埋煤层周期来压的极限跨距是可行的。Abstract: Taking Northern Shaanxi shallow seams as the background,using cusp catastrophe theory to analyze the stope bedrock periodic weighting step.The first bedrock cyclical pressure is treated as the cantilever periodic breaking.Potential function has been obtained to characterize the fracture process through the establishment of a mechanical model of the bedrock breaking.The bedrock cycle pressure limit span necessary condition is quantitatively obtained. Finally,comparatively analyzing the measured results with the engineering example,it shows that using catastrophe theory to analyze the shallow coal imrt span seam cycle pressure limit span is reasonable.