锚杆动测问题的数学物理模型及实验分析  

Mathematical Physical Model and Experimental Analysis of the Dynamic Measurement of Anchor Rod

作　　者：严良平 周黎明[2] 崔博涛 王柏林 芦建刚 YAN Langping;ZHOU Liming;CUI Botao;WANG Bolin;LUJiangang(Xinjiang Fukang Pumped Storage Co.Ltd.,Urumqi 830000,China;Key Laboratory of Geotechnical Mechanics and Engineering of the Ministry of Water Resources,Yangtze River Scientific Research Institute,Wuhan 430010,China)

机构地区：[1]新疆阜康抽水蓄能有限公司,新疆维吾尔自治区乌鲁木齐市830000 [2]长江科学院,水利部岩土力学与工程重点实验室,湖北省武汉市430010

出　　处：《水电与抽水蓄能》2023年第1期78-82,90,共6页Hydropower and Pumped Storage

基　　金：重大自然灾害监测预警与防范重点专项(2017YFC1501203);中央级公益性科研院所基本科研业务费项目(CKSF2019434 SL)。

摘　　要：锚杆动测问题可归结为一维波动方程在不同初始条件和边界条件下的解的问题。本文在前人研究的基础上分析了锚杆一维纵向振动模型的数学物理方程,并根据物理状态给出了定解条件,对端头自由、底端固定的锚杆锚固状态给出了基于有限差分数值模拟方法,给定3种不同瞬态激振响应模型,从解的位移、加速度响应来看,基于雷克子波激振响应的数值模拟解是稳定的,对比模型锚杆检测结果来看,数值模拟解是可靠的,以锚杆一维纵向振动模型建立的声波反射法理论体系是自洽的。The problem of bolt dynamic measurement can be attributed to the problem of the solution of the one-dimensional wave equation under different initial and boundary conditions.On the basis of previous studies,the mathematical and physical equations of the one-dimensional longitudinal vibration model of the bolt are analyzed,and the definite solution conditions are given according to the physical state.The anchoring state of the bolt with free end and fixed bottom is given based on the finite Differential numerical simulation method,given three different transient excitation response models,from the perspective of the displacement and acceleration response of the solution,the numerical simulation solution based on the rake wavelet excitation response is stable.Compared with the test results of the model bolt.The numerical simulation solution is reliable,and the theoretical system of the acoustic reflection method established by the one-dimensional longitudinal vibration model of the bolt is self-consistent.

关 键 词：有限差分 激振响应 声波反射法 模拟锚杆试验 

分 类 号：TV523[水利工程—水利水电工程]