动静阻尼影响下锚杆瞬态动力响应的解析解及工作状态预测  

Analytical solution of transient dynamic response and working condition prediction of bolt considering dynamic and static damping

作　　者：孙冰[1] 梁展平 曾晟[2] 肖佳辉 付志国[1] 黄振江[1] 

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

出　　处：《煤炭学报》2016年第6期1400-1406,共7页Journal of China Coal Society

基　　金：国家自然科学基金资助项目(51204098);湖南省科技厅重点研发计划资助项目(2015SK2058-4);湖南省重点学科建设资助项目

摘　　要：为了分析动静阻尼条件下锚杆的瞬态动力响应特征以及荷载与锚杆振动基频之间的相互关系,在考虑锚固介质对锚杆产生的动态与静态阻尼力的影响下,基于波动理论建立了锚杆受瞬态激振时引起弹性振动的波动方程。在一端固定一端自由的边界条件下,求解锚杆位移场的解析解,得到基频与荷载之间呈二次幂函数关系。为了验证理论分析的结果,采用室内模型锚杆的拉拔试验和无损检测试验,对不同加载等级下的动测信号进行频谱分析得出对应的基频,采用最小二乘法拟合得到荷载与基频之间的函数关系也呈二次幂函数关系,且施加的荷载小于锚杆体与锚固介质间的握固力时,荷载与基频呈正相关关系,荷载大于握固力时,二者呈负相关关系,这与理论分析结果基本吻合。In order to analyze the characteristics of transient dynamic response and the relationship between loads and vibration fundamental frequencies of the bolt in the role of damping,in considering the impact of anchoring medium of the bolt on dynamic and static damping and based on wave theory,the wave equation,which is about the elastic vibration of the bolt when suffered by transient excitation,was established. Analytical solution of displacement field of the bolt was solved under the boundary condition that it is fixed at the one end of the bolt and it is free at the other end of the bolt. The theoretical result shows there is a second order power function relationship between the fundamental frequency and load. In order to verify the theoretical result,the pullout test and nondestructive test of the indoor model bolts were used,through the spectrum analysis of the dynamic testing signals,the fundamental frequency was obtained under the corresponding load. Fitting function relationship between load and fundamental frequency by using the least squares also presents a second order power function relationship,the load and fundamental frequency are positively correlated when the load is less than the grip between the medium and bolt-rod,but it is the negative correlation be-tween both when the load is more than the grip,and the results are consistent with the theoretical analysis.

关 键 词：锚杆 瞬态动力响应 动静阻尼 工作状态 振动基频 

分 类 号：TD353[矿业工程—矿井建设]