典型约束条件下锚杆受瞬态激振时的位移响应衰减规律研究  

Study on Attenuation Law of Displacement Response of Bolt Subjected to Transient Excitation Under Typical Constraint Conditions

作　　者：曾晟[1] 周杰[1] 孙冰[2] ZENG Sheng ZHOU Jie SUN Bing(Nuclear Resources Engineering College, University of South China, Hengyang 421001, Hunan, China School of Civil Engineering, University of South China, Hengyang 421001, Hunan , China)

机构地区：[1]南华大学核资源工程学院,湖南衡阳421001 [2]南华大学土木工程学院,湖南衡阳421001

出　　处：《黄金科学技术》2017年第4期26-32,共7页Gold Science and Technology

基　　金：国家自然科学基金项目"加锚层状洞室围岩中爆炸扰动效应的作用机制研究"(编号:51204098);湖南省科技厅重点研发计划"爆炸应力波对复杂节理巷道围岩的扰动效应"(编号:2015SK2058-4)联合资助

摘　　要：为了研究锚杆在典型约束条件下受瞬态激振作用的响应特征,假定锚杆受激振动的范围均在弹性限度内且截面保持为平面、材料均匀各向同性,基于一维波动理论,根据达朗贝尔原理引入抗剪刚度和摩擦阻尼系数建立锚杆受激振动的波动方程。在求解过程中,引入狄拉克δ函数,运用特征值法得到两端自由和一端自由一端固定2种边界条件下锚杆的位移、速度和加速度场的解析解。分析锚杆受激振时的位移、加速度响应曲线,结果表明:因阻尼影响,一端固定一端自由的锚杆受瞬态激振时位移响应的衰减比两端自由的锚杆要快;另外,受锚杆侧向阻尼和抗剪刚度影响,一端固定一端自由的锚杆加速度响应振动幅值比两端自由状态下低大约4个数量级。In order to study the response characteristics of the anchors subjected to transient excitation under typical constraints,it is assumed that the vibration of the anchor rod is within the elastic limit and the section is kept as the plane,materials are homogeneous and isotropic.So,based on the one-dimensional wave theory,the wave equation of the vibration of the anchor is established by the shear stiffness and friction damping coefficient,according to Darren Bell principle.Introducing Dirac function,the analytical solution of the displacement,velocity and acceleration field of the anchor was obtained by using eigenvalue method for solving wave equation.By analyzing the displacement and acceleration response curve of the anchors under exciting vibration,following conclusions were drawn.The displacement response of one end fixed and another end free anchor is faster than both end free anchor.In addition,influenced by lateral damping and shear stiffness,the vibration amplitude of the acceleration response of one end fixed and another end free anchor is lower than both end free anchor about 4 orders of magnitude.

关 键 词：锚杆 瞬态激振 低应变 约束条件 响应程度 动力特征 

分 类 号：TD353.6[矿业工程—矿井建设]