With regard to the excavation of coal mine tunnels, the phenomenon of roof separation frequently occurs owing to the deformation of roadway surrounding rocks, and the analysis of the influence of surrounding rock separation on bolt reinforcement plays an indispensable role in the security of support engineering. In the present paper, the hyperbolic function model of bolt load transfer is simplified to the exponential function form, and the simplified distribution form is modified by error analysis. Drawing on the analytic model of elastoplastic mechanics of bolt load through separation, this paper further investigates the influence of separation development on bolt load and conducts the parametric analysis of the separation value and separation position. Finally, taking the separation effect into consideration in the anchorage design of coal mine, practical reference value has been attached to the supporting design of underground engineering in bedded rock mass.

中文翻译：

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基于指数函数的顶板分离下螺栓力学特性分析

对于煤矿隧道的开挖，由于巷道围岩的变形，经常发生顶板分离现象，分析围岩分离对锚杆加固的影响在支护工程安全中起着不可或缺的作用。本文将螺栓载荷传递的双曲函数模型简化为指数函数形式，并通过误差分析修改了简化的分布形式。利用分离的螺栓载荷弹塑性力学解析模型，进一步研究了分离发展对螺栓载荷的影响，并对分离值和分离位置进行了参数分析。最后，在煤矿锚固设计中考虑了分离效果，