School of Architecture and Civil Engineering, Xi'an University of Science and Technology, Xi'an, 710054, China.
School of Urban Construction, Xi'an Kedagaoxin University, Xi'an, 710109, China.
Sci Rep. 2022 Dec 23;12(1):22234. doi: 10.1038/s41598-022-26773-z.
The stability of surrounding rock with bolt support depends on the stability within the reinforcement range. To understand the reinforcing mechanism of a rectangular roadway bolt fully and accurately, a quantitative method for evaluating the stability of the surrounding rock of a rectangular roadway must be developed. First, a roof beam model of a rectangular tunnel is established according to the deformation law of surrounding rock. Based on the elastic-plastic theory, the deflection calculation formula can be derived, and the ultimate load of the roof beam can be obtained under the plastic state without support. Second, based on the reinforcement effect of bolts, a model of a surrounding rock reinforcement body is established, the physical and mechanical properties of this body are deduced, and a method for evaluating the stability of surrounding rock is derived. Finally, by considering actual engineering cases, the theoretical calculation results of surrounding rock deformation are compared with the numerical simulation and field monitoring results. Moreover, the influence of different parameters of the bolt support on the mechanical characteristics and stability of reinforcement is investigated. The results show that the theoretical calculations approximate the numerical simulation and field monitoring values, thus verifying the rationality of the theory. The physical and mechanical properties and stability of the surrounding rock reinforcement body are considerably affected by changes in bolt length and spacing. The anchor design must apply the following principle: the bolt must either be long and sparsely spaced or short and densely spaced. The theory presented in this paper provides a relatively simple and fast quantitative calculation method for the study of the surrounding rock stability of bolt-supported rectangular roadways.
锚杆支护围岩的稳定性取决于加固范围内的稳定性。为了全面、准确地了解矩形巷道锚杆的加固机理,必须开发一种定量评价矩形巷道围岩稳定性的方法。首先,根据围岩变形规律建立矩形隧道的梁模型。基于弹塑性理论,可以推导出挠度计算公式,并得到无支护时处于塑性状态下的梁的极限荷载。其次,基于锚杆的加固效果,建立围岩加固体模型,推导该体的物理力学性质,并得出围岩稳定性评价方法。最后,通过考虑实际工程案例,将围岩变形的理论计算结果与数值模拟和现场监测结果进行比较,并研究了锚杆支护不同参数对加固体力学特性和稳定性的影响。结果表明,理论计算结果与数值模拟和现场监测值相近,验证了理论的合理性。围岩加固体的物理力学性质和稳定性受锚杆长度和间距变化的影响较大。锚杆设计必须遵循以下原则:锚杆要么长而稀疏,要么短而密集。本文提出的理论为研究锚杆支护矩形巷道的围岩稳定性提供了一种相对简单、快速的定量计算方法。