基于Mindlin基本解的压力型锚索受力分析

摘要

In order to further make theoretical study on the anchoring mechanism of pressure-type cable,Mindlin basic solution was referenced that concentrated load was on a semi-infinite body inside,and the approximate solution to normal stress and shear stress in anchoring segment grout of pressure-type cable were derived under the circular uniformly distributed load. On this basis,anchor hole radius,bear plate radius,and Poisson′s ratio on the compressive stress of grout and the shear stress of the contact surface were analyzed. The results showed that:anchor hole radius,bear plate radius had a greater impact,Pois-son′s ratio was less affected. The contents of the cable anchoring mechanism were enriched further and the theoretical reference for cable design was provided by the research.%为了进一步对压力型锚索的锚固机理进行理论研究，借鉴半无限体内部作用有集中荷载的Mindlin基本解，推导了在圆形均布荷载作用下压力型锚索的锚固段注浆体受到的压应力近似解和锚索孔壁与注浆体之间接触面上的剪应力近似解。在此基础上，分析了锚索孔半径、承压板半径和岩体的泊松比对注浆体受到的压应力和锚固段接触面上的剪应力的影响。研究结果表明：锚索孔半径对注浆体受到的应力分布的影响很大，承压板半径的影响较大，泊松比的影响较小。研究成果进一步丰富了压力型锚索锚固机理内容，可为压力型锚索设计提供理论参考。