锚杆无损伤检测问题的理论研究

摘要

锚杆无损伤检测的基本原理是采用动力瞬态激振使锚杆产生弹性振动,通过测定锚杆的振动响应来评估锚杆质量。应用弹性动力学理论,建立了锚杆无损伤检测的波动方程及其定解条件,采用分离变量法求得了波动方程的理论解答。通过将截面位移对时间和空间变量求导,解得了质点振动的速度、加速度、应变和应力,并对公式中参数的选取进行了讨论,可为进一步研究锚杆无损伤检测问题提供理论参考。%The basic principle of nondestructive testing of anchor bolt is to use dynamic transient excitation causing anchor bolt produce elastic vibration so as to evaluate the quality through measuring vibration response of anchor bolt.Based on the theory of elastic-dynamics,the wave equation and its solvability condition of nondestructive testing of anchor bolt are established.And the theoretical solution is got by use of variable separation approach.The velocity,acceleration,strain and stress of particle vibration are obtained through differentiation of section displacement to time and spaces.And the parameters chosen are also discussed in this paper.All of this can offer some theoretical reference for further research on nondestructive testing of anchor bolt.