考虑锚-岩界面相对滑移的圆形巷道全长锚固锚杆力学性能研究  

Study on the mechanical properties of fully grouted bolts in circular tunnels considering the relative slip of the bolt⁃rock interface

作　　者：李阿康 岳中文[1] 王鹏[1] 任猛 姚达 LI Akang;YUE Zhongwen;WANG Peng;REN Meng;YAO Da(School of Mechanics and Civil Engineering,China University of Mining and Technology-Beijing,Beijing 100083,China;Shanxi Huaxing Aluminum Industry Co Ltd,Lyuliang,Shanxi 035300,China)

机构地区：[1]中国矿业大学(北京)力学与土木工程学院,北京100083 [2]山西华兴铝业有限公司,山西吕梁035300

出　　处：《采矿与安全工程学报》2024年第1期123-133,共11页Journal of Mining & Safety Engineering

基　　金：国家重点研发计划项目(2021YFC2902103);中央高校基本科研业务费专项项目(2023JCCXLJ02)。

摘　　要：为了更好地揭示全长锚固锚杆与围岩的相互作用机制,基于圆形巷道弹塑性变形理论,通过考虑锚杆与围岩之间的相对运动,建立了全长锚固锚杆与围岩耦合作用的弹塑性力学模型。基于有限差分法(FDM)提出了一种求解耦合力学模型的简化数值程序,利用MATLAB软件编程得出了所提出模型的数值解。通过与现场监测数据的比较,验证了所提出模型的正确性。随后基于该模型分析了岩体的弹性模量、剪胀角以及托盘刚度对锚杆支护性能的影响。最后,为探究锚杆的最佳安装时间分析了不同应力释放率下锚杆的支护性能。结果表明,当应力释放率未超过60%之前,锚杆的支护效果随应力释放速率的增加而线性下降;之后,锚杆的支护效果迅速下降。因此,采用全长锚固锚杆支护时最好在巷道开挖后应力释放率未超过60%之前进行。In order to better reveal the interaction mechanism between the bolt and the surrounding rock,an elastic⁃plastic analytical model was established by considering the relative slip between the bolt and the surrounding rock.A simplified numerical program for solving the analytical model was proposed based on the finite difference method(FDM),and the numerical solutions of the proposed model were obtained using MATLAB software programming.The proposed model was verified by comparing it with the experimental data.Subsequently,the effect of the elastic modulus and dilatancy angle of rock mass and the end plate stiffness on the support performance of the fully⁃grouted bolt was analyzed.Finally,in order to explore the optimal installation time of bolt,the support performance of bolt under different stress release rates were also investigated.The results showed that,before the stress release rate exceeds 60%,the support performance of the bolt decreased linearly with the increase of the stress release rate;Afterwards,the support performance of it rapidly decreased.Therefore,it was best to install the bolt be⁃fore the stress release rate does not exceed 60%.

关 键 词：全长锚固锚杆 有限差分法 剪胀角 托盘刚度 应力释放率 

分 类 号：TD353[矿业工程—矿井建设]