利用压电导波层状管道结构的损伤识别
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摘要
目的绘制层状管道结构导波的频散曲线,提出一种利用压电超声导波层状管道结构损伤识别方法.方法利用Navier方程及边界条件建立频散方程并进行数值求解,分别绘制出空管和充液两种情况下的导波频散曲线.为了验证理论分析结果,利用压电导波试验方法,对一个长2 m的层状空管和层状充液管道中的人工周向缺陷进行识别.结果导波的频散和衰减程度较弱的L(0,1)模态适合于层状充液管道中的损伤识别.随着导波频率的增加,频散效应逐渐增加,损伤识别能力也逐渐下降.对于充液管道,导波能量会通过液体中传播,降低损伤识别的精度.结论在对层状充液管道进行损伤识别时,应根据频散、衰减和导波结构等传播特性选取合适的纵向模态.利用压电导波进行层状管道结构损伤识别是十分有效的.
The purposes of the paper is to drawdispersion curves of guided waves in layered pipeline structures( LPSs),and propose a damage identification method for LPSs using piezoelectric guided waves. The Navier's Equation and boundary conditions are used to set up the dispersion equations which will be solved by numerical method. Two kinds of guided wave dispersion curves for the given LPS with or without liquid are drawn respectively. To verify the numerical results,an experiment for a 2m layered pipe with the artificial circumferential defects is conducted by utilizing the longitudinal modes. The results showthat the L( 0,1) mode longitudinal guided wave which has the properties of weak dispersion and energy attenuation is suitable for the damage identification of the LPSs. The dispersion effect will gradually increase and the damage identification capacity will decrease as increasing the frequency of the guided waves. For the pipe filled with liquid,the energyof the guided wave will partly propagate through liquid which will decrease the precision of damage identification. A suitable longitudinal mode of guided wave should be selected according to the dispersion effect,energy attenuation,and structure of the guided waves during damage detection.The proposed method in the paper is quite effective for the damage identification of LPSs using piezoelectric guided waves.
The purposes of the paper is to drawdispersion curves of guided waves in layered pipeline structures( LPSs),and propose a damage identification method for LPSs using piezoelectric guided waves. The Navier's Equation and boundary conditions are used to set up the dispersion equations which will be solved by numerical method. Two kinds of guided wave dispersion curves for the given LPS with or without liquid are drawn respectively. To verify the numerical results,an experiment for a 2m layered pipe with the artificial circumferential defects is conducted by utilizing the longitudinal modes. The results showthat the L( 0,1) mode longitudinal guided wave which has the properties of weak dispersion and energy attenuation is suitable for the damage identification of the LPSs. The dispersion effect will gradually increase and the damage identification capacity will decrease as increasing the frequency of the guided waves. For the pipe filled with liquid,the energyof the guided wave will partly propagate through liquid which will decrease the precision of damage identification. A suitable longitudinal mode of guided wave should be selected according to the dispersion effect,energy attenuation,and structure of the guided waves during damage detection.The proposed method in the paper is quite effective for the damage identification of LPSs using piezoelectric guided waves.
引文
[1]陈新华.2011年中国石油石化产业生产稳定保供坚强有力[J].中国石油报,2012,7(3):34-37.(CHEN Xinhua.China Petroleum and petrochemical industry production in 2011 to ensure the stability of the strong[J].Journal of China petroleum,2012,7(3):34-37.)
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[5]KUO C W,SUH C S,KUO C W.Guided wave propagation in tubular section w ith multi-layered viscoelastic coating:part II-circumferential w aves[C].2013 International M echanical Engineering Congress and Exposition American Society of M echanical Engineers.[S.l.]:ASM E,2013:141-150.
[6]于保华,杨世锡,甘春标.一种多层圆管纵向导波频散特性分析方法研究[J].应用力学学报,2013,30(4):373-380.(YU Baohua,YANG Shixi,GAN Chunbiao.Research on frequency dispersion characteristics of longitudinal guided w ave in multi-layer tube[J].Engineering mechanics,2013,30(4):373-380.)
[7]刘增华,何存富,吴斌,等.带粘弹性包覆层管道中的纵向模态[J].机械工程学报,2007,43(4):187-192.(LIU Zenghua,HE Cunfu,WU Bin,et al.Longitudinal modes in pipes w ith viscoelastic coatings[J].Chinese journal of mechanical engineering,2007,43(4):187-192.)
[8]PADMAKUMAR 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.
[9]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.)
[10]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.)
[11]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.)
[12]YAN S,LI Y,CHENG Y,et al.Propagation energy distribution of PZT-based ultrasonic guided w aves in laminated pipeline[C].Proceedings of the Tw enty-fourth International Ocean and Polar Engineering Conference.Busan,Korea:[s.n.],2014:105-113.
[13]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].沈阳:沈阳建筑大学,2013.(ZHAO Naizhi.Research on pipeline structural crack monitoring by using PZT-based ultrasonic guided w aves time reversal method[D].Shenyang:Shenyang Jianzhu University,2013.)
[14]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 Sheny-ang jianzhu university(natural science),2013,29(1):44-49.)
[15]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.)
[16]王悦民,沈立华,申传俊,等.管道导波无损检测频率选择与管材特性关系[J].机械工程学报,2009,45(8):243-248.(WANG Yuemin,SHEN Lihua,SHEN Chuanjun,et al.Relationship betw een frequency selection and pipe characteristics for guided w aves NDT[J].Journal of mechanical engineering,2009,45(8):243-248.)
[17]顾军,林莉,侯云霞.不锈钢管材中弯曲模态导波试验[J].无损检测,2010,32(2):103-106.(GUN Jun,LIN Li,HOU Yunxia.The experiment on flexural guided w aves in stainless steel pipes[J].Nondestructive testing,2010,32(2):103-106.)
[18]刘增华,何存富,杨士明.充水管道中纵向超声导波传播特性的理论分析与试验研究[J].机械工程学报,2006,42(3):171-178.(LIU Zenghua,HE Cunfu,YANG Shiming.Theoretical and experimental studies of longitudinal ultrasonic guided w ave propagation characteristics in w ater-filled pipes[J].Journal of mechanical engineering,2006,42(3):171-178.)
[19]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.)
[20]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.)
[21]戚爱华.“十二五”我国油气管道运输发展趋势分析[J].综合运输,2011,3(4):15-18.(QI Aihua.“Analysis of the development trend of the Tw elfth Five Year Plan”of China's oil and gas pipeline transportation[J].Comprehensive transportation,2011,3(4):15-18.)
[22]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.)
[23]董为荣,帅健,许葵.管道T(0,1)模态导波检测数值模拟研究[J].无损检测,2008,30(3):149-152.(DONG Weirong,SHUAI Jian,XU Kui.Numerical simulation study of detection in pipes using T(0,1)mode ultrasonic guided w aves[J].Nondestructive testing,2008,30(3):149-152.)
[24]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研究[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.)
[2]曹正敏,林莉,李喜孟.兰姆波频散曲线的绘制与试验验证[J].理化检验:物理分册,2008,44(9):482-484.(CAO Zhengmin,LIN Li,LI Ximeng.Plotting and experimental validation of lamb w ave dispersion curve[J].Physical testing and chemical analysis part a:physical testing,2008,44(9):482-484.)
[3]CHREE C.Longitudinal vibrations of a circular bar[J].Quarterly journal of mathematics,2010,21(1):287-298.
[4]KUO C W,SUH C S,KUO C W.Guided wave propagation in tubular section w ith multi-layered viscoelastic coating:part I-axial w aves[C].2013 International Mechanical Engineering Congress and Exposition American Society of M echanical Engineers.[S.l.]:ASM E,2013:131-140.
[5]KUO C W,SUH C S,KUO C W.Guided wave propagation in tubular section w ith multi-layered viscoelastic coating:part II-circumferential w aves[C].2013 International M echanical Engineering Congress and Exposition American Society of M echanical Engineers.[S.l.]:ASM E,2013:141-150.
[6]于保华,杨世锡,甘春标.一种多层圆管纵向导波频散特性分析方法研究[J].应用力学学报,2013,30(4):373-380.(YU Baohua,YANG Shixi,GAN Chunbiao.Research on frequency dispersion characteristics of longitudinal guided w ave in multi-layer tube[J].Engineering mechanics,2013,30(4):373-380.)
[7]刘增华,何存富,吴斌,等.带粘弹性包覆层管道中的纵向模态[J].机械工程学报,2007,43(4):187-192.(LIU Zenghua,HE Cunfu,WU Bin,et al.Longitudinal modes in pipes w ith viscoelastic coatings[J].Chinese journal of mechanical engineering,2007,43(4):187-192.)
[8]PADMAKUMAR 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.
[9]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.)
[10]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.)
[11]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.)
[12]YAN S,LI Y,CHENG Y,et al.Propagation energy distribution of PZT-based ultrasonic guided w aves in laminated pipeline[C].Proceedings of the Tw enty-fourth International Ocean and Polar Engineering Conference.Busan,Korea:[s.n.],2014:105-113.
[13]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].沈阳:沈阳建筑大学,2013.(ZHAO Naizhi.Research on pipeline structural crack monitoring by using PZT-based ultrasonic guided w aves time reversal method[D].Shenyang:Shenyang Jianzhu University,2013.)
[14]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 Sheny-ang jianzhu university(natural science),2013,29(1):44-49.)
[15]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.)
[16]王悦民,沈立华,申传俊,等.管道导波无损检测频率选择与管材特性关系[J].机械工程学报,2009,45(8):243-248.(WANG Yuemin,SHEN Lihua,SHEN Chuanjun,et al.Relationship betw een frequency selection and pipe characteristics for guided w aves NDT[J].Journal of mechanical engineering,2009,45(8):243-248.)
[17]顾军,林莉,侯云霞.不锈钢管材中弯曲模态导波试验[J].无损检测,2010,32(2):103-106.(GUN Jun,LIN Li,HOU Yunxia.The experiment on flexural guided w aves in stainless steel pipes[J].Nondestructive testing,2010,32(2):103-106.)
[18]刘增华,何存富,杨士明.充水管道中纵向超声导波传播特性的理论分析与试验研究[J].机械工程学报,2006,42(3):171-178.(LIU Zenghua,HE Cunfu,YANG Shiming.Theoretical and experimental studies of longitudinal ultrasonic guided w ave propagation characteristics in w ater-filled pipes[J].Journal of mechanical engineering,2006,42(3):171-178.)
[19]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.)
[20]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.)
[21]戚爱华.“十二五”我国油气管道运输发展趋势分析[J].综合运输,2011,3(4):15-18.(QI Aihua.“Analysis of the development trend of the Tw elfth Five Year Plan”of China's oil and gas pipeline transportation[J].Comprehensive transportation,2011,3(4):15-18.)
[22]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.)
[23]董为荣,帅健,许葵.管道T(0,1)模态导波检测数值模拟研究[J].无损检测,2008,30(3):149-152.(DONG Weirong,SHUAI Jian,XU Kui.Numerical simulation study of detection in pipes using T(0,1)mode ultrasonic guided w aves[J].Nondestructive testing,2008,30(3):149-152.)
[24]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研究[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.)