王云刚,邓万九, 徐彦茹,等.基于COMSOL的超声导波检测锚杆锚固密实度研究[J].河南理工大学学报（自然科学版）,2020,39(6):170-176.

WANG Y G,DENG W J, XU Y R, et al.Research on anchorage density of ultrasonic guided wave detection based on COMSOL[J].Journal of Henan Polytechnic University(Natural Science) ,2020,39(6):170-176.

基于COMSOL的超声导波检测锚杆锚固密实度研究

王云刚1,2,3,邓万九1,2,3, 徐彦茹1,2,3, 刘春生4

1.河南理工大学 河南省瓦斯地质与瓦斯治理省部共建国家重点实验室培育基地，河南 焦作454000;2.河南理工大学 煤炭安全生产河南省协同创新中心，河南 焦作454000;3.河南理工大学 安全科学与工程学院 河南 焦作454000;4.武汉长盛煤安科技有限公司 湖北 武汉 430000

摘要:为研究锚杆锚固密实度与超声导波反射波之间的关系，利用COMSOL数值模拟软件对 超声导波在不同频率、不同锚固密实度下的锚固锚杆中传播进行数值仿真，结果表明：(1)不 同频率下，锚杆末端反射波接收的时间均随着锚固密实度的降低逐渐减少，锚杆末端反射波被 接收的时间与锚固密实度之间相关性良好；(2)随着锚固密实度降低,反射波波形趋于复杂， 在10%锚固密实度条件下，导波在不同锚固界面之间的反射叠加会影响波峰时间点的读取， 影响导波在锚固段传播时间的计算；(3)对不同频率条件下的数据进行线性拟合发现，50 kHz 频率下的拟合直线误差更小，更利于锚杆锚固长度检测。研究结果提供了一种锚杆锚固质量 的定量分级评价方法。

关键词:锚固密实度；超声导波检测；群速度；锚固质量；COMSOL有限元

doi:10.16186/j.cnki.1673-9787.2020.6.25

基金项目:国家自然科学基金资助项目(51574112 ,U1704129)；教育部创新团队发展计划项目(IRT_16R22 )；河南省基础与前沿技 术研究计划项目(142300413211)；河南省教育厅科技攻关重点项目(14A440011)

收稿日期:2020/02/17

修回日期:2020-04-20 00:00:00

出版日期:2020/11/15

Research on anchorage density of ultrasonic guided wave detection based on COMSOL

WANG Yungang1,2,3,DENG Wanjiu1,2,3, XU Yanru1,2,3, LIU Chunsheng4

1.State Key Laboratory Cultivation Base for Gas Geology and Gas Control, Henan Polytechnic University, Jiaozuo 454000 , Henan, China;2.Coal Production Safety Collaborative Innovation Center in Henan Province, Jiaozuo 454000 , Henan, China;3.College of Safety Science and Engineering, Henan Polytechnic University, Jiaozuo 454000 , Henan, China ;4.Wuhan Conourish Coalmine Safety Technology Co., Ltd., Wuhan 430000 , Hubei, China

Abstract:For the study of the relation between the bolt grouted density and the reflection of ultrasonic guided waves, COMSOL numerical simulation software was used to simulate the propagation of ultrasonic guided waves in anchored bolts under different frequencies and different anchorage densities. The results show that： (1 ) Un¬der different frequencies, the receiving time of the reflected wave at the end of the bolt decreased gradually with the reduce of grouted density, the receiving time of the reflected wave at the end of the bolt had a good correla¬tion with grouted density ； (2 ) With the decrease of grouted density, the reflected waveform tended to be complex. Under the condition of 10% grouted density, the reflection superposition of guided waves between differ¬ent anchoring interfaces would affect the reading of peak time and the calculation of propagation time of guided waves in anchorage section ； ( 3 ) Linear fitting at different frequencies showed that the linear fitting error at 50 kHz frequency was less,which is more beneficial to detecting bolt anchoring length. The results provided a quantitative classification evaluation method for the anchorage quality of bolt

Key words:anchorage density ； ultrasonic guided wave detection ； group velocity ； anchorage quality ； COMSOL finite element

基于COMSOL的超声导波检测锚杆锚固密实度研究_王云刚.pdf