超声导波在充液埋地管道结构传播特性的理论研究与试验验证
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摘要
目的针对内部载有液体并且埋置地面以下某一深度或者水下管道健康监测的难点问题,推导出充液埋地管道超声导波频散曲线方程,用来确定管道健康监测的激发频率和模态.方法利用Navier-Stokes方程在势函数中耦合一个附加的位移场方程并引进第二类Hankel函数,推导出充液埋地管道的频散曲线方程并进行试验验证.结果通过埋地充液状态下管道试验系统测得的群速度和衰减值与推导出的频散曲线方程的理论值相差1.05%,基本符合.结论附加位移场方程可以模拟超声导波在土中传播情况,第二类Hankel函数可以表征波的能量从管中扩散到很远距离并且逐渐衰减消失的这种特性进而推导出超声导波在充液埋地管道中传播的频散和衰减曲线,根据频散曲线可以确定管道健康监测激发频率和模态.
The purposes of the paper is propose to draw the dispersion curve equation of liquid-filled buried pipeline,and propose a damage identification method for pipeline structure with water and buried in soil using piezoelectric guided waves. The Navier's Equation and the second Hankel function are used to derive the dispersion curve equation of the water-filled pipeline buried in soil and experimental studies. The results show that the velocity and attenuation of the model are in good agreement with the theoretical values of the dispersion curve at some different excitation frequencies. The derived longitudinal modal dispersion curve can be used as a theoretical guide for excitation frequency and mode selection. The second Hankel function can be used to characterize the energy of the wave from the pipeline to long distance and gradually disappearance and then deduce the ultrasonic wave in the pipeline in the filling fluid,Derive the dispersion and decay curves and determine the pipeline health monitoring excitation frequency and mode.
The purposes of the paper is propose to draw the dispersion curve equation of liquid-filled buried pipeline,and propose a damage identification method for pipeline structure with water and buried in soil using piezoelectric guided waves. The Navier's Equation and the second Hankel function are used to derive the dispersion curve equation of the water-filled pipeline buried in soil and experimental studies. The results show that the velocity and attenuation of the model are in good agreement with the theoretical values of the dispersion curve at some different excitation frequencies. The derived longitudinal modal dispersion curve can be used as a theoretical guide for excitation frequency and mode selection. The second Hankel function can be used to characterize the energy of the wave from the pipeline to long distance and gradually disappearance and then deduce the ultrasonic wave in the pipeline in the filling fluid,Derive the dispersion and decay curves and determine the pipeline health monitoring excitation frequency and mode.
引文
[1]阎石,何彬彬,赵乃志.管结构导波频散曲线绘制与试验验证[J].工程力学,2012,29(2):159-163.(YAN Shi,HE Binbin,ZHAO Naizhi.Experimental validation and plotting guided w ave dispersion curve of pipe structure[J].Engineering mechanics,2012,29(2):159-163.)
[2]阎石,刘丁嘉,李赢,等.利用压电导波层状管道结构的损伤识别[J].沈阳建筑大学学报(自然科学版),2016,32(4):619-626.(YAN Shi,LIU Dingjia,LI Ying,et al.Damage identification for layered pipe structures using piezoelectric guided w aves[J].Journal of Shenyang jianzhu university(natural science),2016,32(4):619-626.)
[3]赵乃志.利用压电超声导波时间反转法的管道裂纹健康监测研究[D].大连:大连理工大学,2013.(ZHAO Naizhi.Research on pipeline structural crack monitoring by using PZT-based ultrasonic guided w aves time reversal method[D].Dalian:Dalian University of Technology,2013.)
[4]齐霁.基于PZT超声导波的多裂纹管道损伤识别研究[D].沈阳:沈阳建筑大学,2014.(QI Ji.Research on multiple crack pipeline structural monitoring by using PZT-based ultrasonic guided w aves[D].Shenyang:Shenyang Jianzhu University,2014.)
[5]阎石,程杨,王伟.层状管道结构频散曲线绘制及试验验证[J].沈阳建筑大学学报(自然科学版),2016,32(1):45-50.(YAN Shi,CHENG Yang,WANG Wei.Plotting and experimental validating of guided w ave dispersion curves for layered pipe structures[J].Journal of Shenyang jianzhu university(natural science),2016,32(1):45-50.)
[6]阎石,张海凤,蒙彦宇.Lamb波频散曲线的数值计算及试验验证[J].华中科技大学学报,2010,27(1):1-4.(YAN Shi,ZHANG Haifeng,MENG Yanyu.Numerical calculation and experimental validation for Lamb w ave dispersion curves[J].Journal of huazhong university of science and technology,2010,27(1):1-4.)
[7]赵乃志,阎石,齐霁.基于时间反转法的管道周向裂缝损伤检测[J].沈阳建筑大学学报(自然科学版),2013,29(1):44-49.(ZHAO Naizhi,YAN Shi,QI Ji.The pipeline circumferential cracks damage detection based on time reversal method[J].Journal of Shenyang jianzhu university(natural science),2013,29(1):44-49.)
[8]王学浦,张慧昕,何存富,等.纵模导波在部分埋地管道中的传播特性[J].无损检测,2009,31(11):901-909.(WANG Xuepu,ZHANG Huixin,HE Cunfu,et al.The propagation characteristics of longitudinal guided w ave in steel pipe partly buried in soil[J].Nondestructive testing,2009,31(11):901-909.)
[9]刘增华,颉小东,吴斌,等.基于连续小波变换的厚壁管道周向导波扫描成像实验研究[J].机械工程学报,2013,49(2):14-18.(LIU Zenghua,JIE Xiaodong,WU Bin,et al.Experimental research on circumferential guided w ave scanning imaging of thick w all pipes based on continuous w avelet transform[J].Journal of mechanical engineering,2013,49(2):14-18.)
[10]PADMAKMUAR P,ROSE J L.Ultrasonic guided w ave inspection of a titanium repair patch bonded to an aluminum aircraft skin[J].International journal of adhesion and adhesives,2010,30(7):566-573.
[11]尹晓春.复合筒结构中的周向导波[D].南京:南京大学,2008.(YIN Xiaochun.Guided circumferential waves in multi-layered hollow cylinders[D].Nanjing:Nanjing University,2008.)
[12]ROSE J L.Guided wave nuances for ultrasonic nondestructive evaluation[J].IEEE transactions on ultrasonics,ferroelectrics and frequency control,2000,47(3):575-583.
[13]ROBIN E J,FRANCESCO S,MICHAEL J S L,et al.The effect of bends on the long-range microw ave inspection of thermally insulated pipelines for the detection of w ater[J].Journal of nondestructive evaluation,2011,31(2):117-127.
[14]王强,孙丽华.非线性Lamb波结构早期损伤监测研究[J].压电与声光,2016,38(1):170-173.(WANG Qiang,SUN Lihua.Early structural damage detection based on nonlinear lamb w ave[J].Piezoelectrics&acoustooptics,2016,38(1):170-173.)
[15]潘群,王强.主动Lamb波结构损伤监测中的非线性信号提取[J].压电与声光,2014,36(35):814-816.(PAN Qun,WANG Qiang.Nonlinear signal extraction process for active Lamb w ave based structural damage monitoring[J].Piezoelectrics&acoustooptics,2014,36(35):814-816.)
[16]MOHAMMAD H S,SALEH D.Study on the effect of a new construction method for a large span metro underground station in Tabriz-Iran[J].Tunnelling and underground space technology,2010(25):63-69.
[17]罗更生,谭建平,卢超,等.L(0,2)模态导波检测弯管缺陷的数值模拟和实验究[J].中南大学学报(自然科学版),2014,45(9):3029-3036.(LUO Gengsheng,TAN Jianping,LU Chao,et al.Numerical simulation and testing research for defect detection in bend pipes using longitudinal mode L(0,2)[J].Journal of central south university(science and technology),2014,45(9):3029-3036.)
[18]孔双庆.管道超声导波检测的数值模拟和实验研究[D].大连:大连理工大学,2011.(KONG Shuangqing.Numerical simulation and experimental investigation of defect detection in pipes using ultrasonic guided w aves[D].Dalian:Dalian University of Technology,2011.)
[19]LIEW J Y R.Survivability of steel frame structures subject to blast and fire[J].Journal of constructional steel research,2008,64(7/8):854-866.
[2]阎石,刘丁嘉,李赢,等.利用压电导波层状管道结构的损伤识别[J].沈阳建筑大学学报(自然科学版),2016,32(4):619-626.(YAN Shi,LIU Dingjia,LI Ying,et al.Damage identification for layered pipe structures using piezoelectric guided w aves[J].Journal of Shenyang jianzhu university(natural science),2016,32(4):619-626.)
[3]赵乃志.利用压电超声导波时间反转法的管道裂纹健康监测研究[D].大连:大连理工大学,2013.(ZHAO Naizhi.Research on pipeline structural crack monitoring by using PZT-based ultrasonic guided w aves time reversal method[D].Dalian:Dalian University of Technology,2013.)
[4]齐霁.基于PZT超声导波的多裂纹管道损伤识别研究[D].沈阳:沈阳建筑大学,2014.(QI Ji.Research on multiple crack pipeline structural monitoring by using PZT-based ultrasonic guided w aves[D].Shenyang:Shenyang Jianzhu University,2014.)
[5]阎石,程杨,王伟.层状管道结构频散曲线绘制及试验验证[J].沈阳建筑大学学报(自然科学版),2016,32(1):45-50.(YAN Shi,CHENG Yang,WANG Wei.Plotting and experimental validating of guided w ave dispersion curves for layered pipe structures[J].Journal of Shenyang jianzhu university(natural science),2016,32(1):45-50.)
[6]阎石,张海凤,蒙彦宇.Lamb波频散曲线的数值计算及试验验证[J].华中科技大学学报,2010,27(1):1-4.(YAN Shi,ZHANG Haifeng,MENG Yanyu.Numerical calculation and experimental validation for Lamb w ave dispersion curves[J].Journal of huazhong university of science and technology,2010,27(1):1-4.)
[7]赵乃志,阎石,齐霁.基于时间反转法的管道周向裂缝损伤检测[J].沈阳建筑大学学报(自然科学版),2013,29(1):44-49.(ZHAO Naizhi,YAN Shi,QI Ji.The pipeline circumferential cracks damage detection based on time reversal method[J].Journal of Shenyang jianzhu university(natural science),2013,29(1):44-49.)
[8]王学浦,张慧昕,何存富,等.纵模导波在部分埋地管道中的传播特性[J].无损检测,2009,31(11):901-909.(WANG Xuepu,ZHANG Huixin,HE Cunfu,et al.The propagation characteristics of longitudinal guided w ave in steel pipe partly buried in soil[J].Nondestructive testing,2009,31(11):901-909.)
[9]刘增华,颉小东,吴斌,等.基于连续小波变换的厚壁管道周向导波扫描成像实验研究[J].机械工程学报,2013,49(2):14-18.(LIU Zenghua,JIE Xiaodong,WU Bin,et al.Experimental research on circumferential guided w ave scanning imaging of thick w all pipes based on continuous w avelet transform[J].Journal of mechanical engineering,2013,49(2):14-18.)
[10]PADMAKMUAR P,ROSE J L.Ultrasonic guided w ave inspection of a titanium repair patch bonded to an aluminum aircraft skin[J].International journal of adhesion and adhesives,2010,30(7):566-573.
[11]尹晓春.复合筒结构中的周向导波[D].南京:南京大学,2008.(YIN Xiaochun.Guided circumferential waves in multi-layered hollow cylinders[D].Nanjing:Nanjing University,2008.)
[12]ROSE J L.Guided wave nuances for ultrasonic nondestructive evaluation[J].IEEE transactions on ultrasonics,ferroelectrics and frequency control,2000,47(3):575-583.
[13]ROBIN E J,FRANCESCO S,MICHAEL J S L,et al.The effect of bends on the long-range microw ave inspection of thermally insulated pipelines for the detection of w ater[J].Journal of nondestructive evaluation,2011,31(2):117-127.
[14]王强,孙丽华.非线性Lamb波结构早期损伤监测研究[J].压电与声光,2016,38(1):170-173.(WANG Qiang,SUN Lihua.Early structural damage detection based on nonlinear lamb w ave[J].Piezoelectrics&acoustooptics,2016,38(1):170-173.)
[15]潘群,王强.主动Lamb波结构损伤监测中的非线性信号提取[J].压电与声光,2014,36(35):814-816.(PAN Qun,WANG Qiang.Nonlinear signal extraction process for active Lamb w ave based structural damage monitoring[J].Piezoelectrics&acoustooptics,2014,36(35):814-816.)
[16]MOHAMMAD H S,SALEH D.Study on the effect of a new construction method for a large span metro underground station in Tabriz-Iran[J].Tunnelling and underground space technology,2010(25):63-69.
[17]罗更生,谭建平,卢超,等.L(0,2)模态导波检测弯管缺陷的数值模拟和实验究[J].中南大学学报(自然科学版),2014,45(9):3029-3036.(LUO Gengsheng,TAN Jianping,LU Chao,et al.Numerical simulation and testing research for defect detection in bend pipes using longitudinal mode L(0,2)[J].Journal of central south university(science and technology),2014,45(9):3029-3036.)
[18]孔双庆.管道超声导波检测的数值模拟和实验研究[D].大连:大连理工大学,2011.(KONG Shuangqing.Numerical simulation and experimental investigation of defect detection in pipes using ultrasonic guided w aves[D].Dalian:Dalian University of Technology,2011.)
[19]LIEW J Y R.Survivability of steel frame structures subject to blast and fire[J].Journal of constructional steel research,2008,64(7/8):854-866.