线黏弹性端接布拉格光纤光栅传感器应变传递机理
|
摘要
端接光纤光栅应变传感器具有无多峰、栅区不直接受力和各点受力相等等优点,在基片式和夹持式等传感器封装中得到广泛应用。但黏接层的剪切变形会导致光纤光栅测量应变与基体结构应变不同,从而产生应变测量误差。实际使用中,需要准确获得黏接层剪切变形影响下光纤光栅应变与基体结构应变的函数关系,以提高应变的测量精度。为此,推导了线黏弹性表面黏贴式端接光纤光栅应变传递方程,建立了瞬时响应和准静态响应下光纤光栅和基体之间的平均应变传递模型。讨论分析了影响平均应变传递率的因素,给出明显优于栅区黏接式光纤光栅应变传感器的黏接层参数的影响规律。通过有限元仿真验证了理论方程的有效性。该模型为端接光纤光栅应变传感器的设计与应用提供依据。
The end-bonding fiber Bragg grating(FBG)sensors have many advantages such as no multiple peaks,no direct force in grating area and all points suffering the same stress,which are widely used to the packaging of substrate-type,clamp-type and other types of sensors.However,the shear deformation in the adhesive layer results in the difference between FBG strain and matrix strain,and thus the strain measurement error is introduced.In the practical applications,it is necessary to precisely obtain the function relationship between the FBG strain and the matrix strain under the influence of the shear deformation in the adhesive layer to improve the measurement accuracy of strain.For this purpose,the strain transfer equation of end-bonding FBGs based on linear viscoelasticity is derived and the average strain transfer models between fiber grating and matrix under instantaneous response and quasi-static response are developed.The parameters that influence the average strain transfer rate are discussed and analyzed.The influence law of the adhesive layer parameters with which the grating is obviously superior to that of agrating-bonding FBG sensor is demonstrated.The validity of the theoretical equation is verified by the simulation by the finite element method,and the proposed model provides a theoretical basis for the design and application of end-bonding FBG strain sensors.
The end-bonding fiber Bragg grating(FBG)sensors have many advantages such as no multiple peaks,no direct force in grating area and all points suffering the same stress,which are widely used to the packaging of substrate-type,clamp-type and other types of sensors.However,the shear deformation in the adhesive layer results in the difference between FBG strain and matrix strain,and thus the strain measurement error is introduced.In the practical applications,it is necessary to precisely obtain the function relationship between the FBG strain and the matrix strain under the influence of the shear deformation in the adhesive layer to improve the measurement accuracy of strain.For this purpose,the strain transfer equation of end-bonding FBGs based on linear viscoelasticity is derived and the average strain transfer models between fiber grating and matrix under instantaneous response and quasi-static response are developed.The parameters that influence the average strain transfer rate are discussed and analyzed.The influence law of the adhesive layer parameters with which the grating is obviously superior to that of agrating-bonding FBG sensor is demonstrated.The validity of the theoretical equation is verified by the simulation by the finite element method,and the proposed model provides a theoretical basis for the design and application of end-bonding FBG strain sensors.
引文
[1]Cheng C C,Lo Y,Li W Y.Accurate simulations of reflective wavelength spectrum of surface-bonded fiber Bragg grating[J].Applied Optics,2010,49(17):3394-3402.
[2]Ansari F,Yuan L B.Mechanics of bond and interface shear transfer in optical fiber sensors[J].Journal of Engineering Mechanics,1998,124(4):385-394.
[3]Lau K T,Yuan L B,Zhou L M,et al.Strain monitoring in FRP laminates and concrete beams using FBG sensors[J].Composite Structures,2001,51(1):9-20.
[4]Li D S,Li H N,Ren L,et al.Strain transferring analysis of fiber Bragg grating sensors[J].Optical Engineering,2006,45(2):024402.
[5]Li Q B,Li G,Wang G L,et al.Elasto-plastic bonding of embedded optical fiber sensors in concrete[J].Journal of Engineering Mechanics,2002,128(4):471-478.
[6]Zhou J,Zhou Z,Zhang D.Study on strain transfer characteristics of fiber Bragg grating sensors[J].Journal of Intelligent Material Systems and Structures,2010,21(11):1117-1122.
[7]Wang H P,Zhou Z.Advances of strain transfer analysis of optical fibre sensors[J].Pacific Science Review,2014,16(1):8-18.
[8]Li H N,Zhou G D,Ren L,et al.Strain transfer coefficient analyses for embedded fiber Bragg grating sensors in different host materials[J].Journal of Engineering Mechanics,2009,135(12):1343-1353.
[9]Wu R J,Zheng B L,Fu K K,et al.Study on strain transfer of embedded fiber Bragg grating sensors[J].Optical Engineering,2014,53(8):085105.
[10]Wan K T,Leung C K Y,Olson N G.Investigation of the strain transfer for surface-attached optical fiber strain sensors[J].Smart Materials and Structures,2008,17(3):035037.
[11]Qin H Y,Zhu W X,Zhang H L,et al.Manufacturing and performance analysis of intelligent steel strand embedded with prepressure large scale fiber Bragg grating sensor[J].Chinese Journal of Lasers,2017,44(4):0410001.覃荷瑛,朱万旭,张贺丽,等.内嵌预压式大量程光纤光栅传感器的智能钢绞线的研制与性能分析[J].中国激光,2017,44(4):0410001.
[12]Qin H Y,Huo T T,Zhu W X.Desensitization effect of helix-slant composite technology on fiber Bragg grating sensor[J].Laser&Optoelectronics Progress,2017,54(3):030601.覃荷瑛,霍婷婷,朱万旭.螺旋倾斜复合技术对光纤布拉格光栅传感器的减敏作用[J].激光与光电子学进展,2017,54(3):030601.
[13]Wan K T.Quantitative sensitivity analysis of surface attached optical fiber strain sensor[J].IEEE Sensors Journal,2014,14(6):1805-1812.
[14]Her S C,Huang C Y.Effect of coating on the strain transfer of optical fiber sensors[J].Sensors,2011,11(7):6926-6941.
[15]Wang Q B,Qiu Y,Zhao H T,et al.Analysis of strain transfer of six-layer surface-bonded fiber Bragg gratings[J].Applied Optics,2012,51(18):4129-4138.
[16]Zhao H T,Wang Q B,Qiu Y,et al.Strain transfer of surface-bonded fiber Bragg grating sensors for airship envelope structural health monitoring[J].Journal of Zhejiang University SCIENCE A,2012,13(7):538-545.
[17]Tian S Z,Zhang G Q,Wang D P.Study on strain transfer mechanism of surface fiber Bragg grating sensor[J].Chinese Journal of Lasers,2014,41(8):0805005.田石柱,张国庆,王大鹏.表面式光纤布拉格光栅传感器应变传递机理的研究[J].中国激光,2014,41(8):0805005.
[18]Zhang G H,Chai J,Li X J,et al.Research on strain transfer of surface fiber grating sensor[J].Laser&Optoelectronics Progress,2014,51(1):010601.张桂花,柴敬,李旭娟,等.基片式光纤光栅应变传感器的应变传递研究[J].激光与光电子学进展,2014,51(1):010601.
[19]You Z W,Wang Y,Sun Y Y,et al.Experimental research on strain transfer rules of prestressing fiber Bragg grating[J].Laser&Optoelectronics Progress,2016,53(11):110501.由泽伟,王源,孙阳阳,等.预张拉光纤布拉格光栅应变传递规律实验研究[J].激光与光电子学进展,2016,53(11):110501.
[20]Liu M Y,Ji D L,Xiao S,et al.Effect of adhesive viscoelasticity on strain transfer mechanism of bonded FBG[J].Optics and Precision Engineering,2016,24(6):1307-1318.刘明尧,季冬亮,肖爽,等.胶黏剂黏弹性对黏贴式FBG应变传递的影响[J].光学精密工程,2016,24(6):1307-1318.
[21]Chang X L,Li M,Gu X F.Research on strain transfer of embedded polymer optical fiber sensors based on linear viscoelasticity[J].Journal of Solid Rocket Technology,2010,33(3):353-359.常新龙,李明,谷小飞.基于线黏弹性的埋入式聚合物光纤传感器应变传递研究[J].固体火箭技术,2010,33(3):353-359.
[22]Wu J,Chen W M,Yu K,et al.Strain sensing properties of grating ends packaged FBG sensors[J].Acta Photonica Sinica,2016,45(2):0206004.吴俊,陈伟民,余葵,等.非栅区封装光纤布喇格光栅应变传感特性研究[J].光子学报,2016,45(2):0206004.
[23]Sun L,Li C,Li J,et al.Strain transfer analysis of a clamped fiber Bragg grating sensor[J].Applied Sciences,2017,7(2):188.
[2]Ansari F,Yuan L B.Mechanics of bond and interface shear transfer in optical fiber sensors[J].Journal of Engineering Mechanics,1998,124(4):385-394.
[3]Lau K T,Yuan L B,Zhou L M,et al.Strain monitoring in FRP laminates and concrete beams using FBG sensors[J].Composite Structures,2001,51(1):9-20.
[4]Li D S,Li H N,Ren L,et al.Strain transferring analysis of fiber Bragg grating sensors[J].Optical Engineering,2006,45(2):024402.
[5]Li Q B,Li G,Wang G L,et al.Elasto-plastic bonding of embedded optical fiber sensors in concrete[J].Journal of Engineering Mechanics,2002,128(4):471-478.
[6]Zhou J,Zhou Z,Zhang D.Study on strain transfer characteristics of fiber Bragg grating sensors[J].Journal of Intelligent Material Systems and Structures,2010,21(11):1117-1122.
[7]Wang H P,Zhou Z.Advances of strain transfer analysis of optical fibre sensors[J].Pacific Science Review,2014,16(1):8-18.
[8]Li H N,Zhou G D,Ren L,et al.Strain transfer coefficient analyses for embedded fiber Bragg grating sensors in different host materials[J].Journal of Engineering Mechanics,2009,135(12):1343-1353.
[9]Wu R J,Zheng B L,Fu K K,et al.Study on strain transfer of embedded fiber Bragg grating sensors[J].Optical Engineering,2014,53(8):085105.
[10]Wan K T,Leung C K Y,Olson N G.Investigation of the strain transfer for surface-attached optical fiber strain sensors[J].Smart Materials and Structures,2008,17(3):035037.
[11]Qin H Y,Zhu W X,Zhang H L,et al.Manufacturing and performance analysis of intelligent steel strand embedded with prepressure large scale fiber Bragg grating sensor[J].Chinese Journal of Lasers,2017,44(4):0410001.覃荷瑛,朱万旭,张贺丽,等.内嵌预压式大量程光纤光栅传感器的智能钢绞线的研制与性能分析[J].中国激光,2017,44(4):0410001.
[12]Qin H Y,Huo T T,Zhu W X.Desensitization effect of helix-slant composite technology on fiber Bragg grating sensor[J].Laser&Optoelectronics Progress,2017,54(3):030601.覃荷瑛,霍婷婷,朱万旭.螺旋倾斜复合技术对光纤布拉格光栅传感器的减敏作用[J].激光与光电子学进展,2017,54(3):030601.
[13]Wan K T.Quantitative sensitivity analysis of surface attached optical fiber strain sensor[J].IEEE Sensors Journal,2014,14(6):1805-1812.
[14]Her S C,Huang C Y.Effect of coating on the strain transfer of optical fiber sensors[J].Sensors,2011,11(7):6926-6941.
[15]Wang Q B,Qiu Y,Zhao H T,et al.Analysis of strain transfer of six-layer surface-bonded fiber Bragg gratings[J].Applied Optics,2012,51(18):4129-4138.
[16]Zhao H T,Wang Q B,Qiu Y,et al.Strain transfer of surface-bonded fiber Bragg grating sensors for airship envelope structural health monitoring[J].Journal of Zhejiang University SCIENCE A,2012,13(7):538-545.
[17]Tian S Z,Zhang G Q,Wang D P.Study on strain transfer mechanism of surface fiber Bragg grating sensor[J].Chinese Journal of Lasers,2014,41(8):0805005.田石柱,张国庆,王大鹏.表面式光纤布拉格光栅传感器应变传递机理的研究[J].中国激光,2014,41(8):0805005.
[18]Zhang G H,Chai J,Li X J,et al.Research on strain transfer of surface fiber grating sensor[J].Laser&Optoelectronics Progress,2014,51(1):010601.张桂花,柴敬,李旭娟,等.基片式光纤光栅应变传感器的应变传递研究[J].激光与光电子学进展,2014,51(1):010601.
[19]You Z W,Wang Y,Sun Y Y,et al.Experimental research on strain transfer rules of prestressing fiber Bragg grating[J].Laser&Optoelectronics Progress,2016,53(11):110501.由泽伟,王源,孙阳阳,等.预张拉光纤布拉格光栅应变传递规律实验研究[J].激光与光电子学进展,2016,53(11):110501.
[20]Liu M Y,Ji D L,Xiao S,et al.Effect of adhesive viscoelasticity on strain transfer mechanism of bonded FBG[J].Optics and Precision Engineering,2016,24(6):1307-1318.刘明尧,季冬亮,肖爽,等.胶黏剂黏弹性对黏贴式FBG应变传递的影响[J].光学精密工程,2016,24(6):1307-1318.
[21]Chang X L,Li M,Gu X F.Research on strain transfer of embedded polymer optical fiber sensors based on linear viscoelasticity[J].Journal of Solid Rocket Technology,2010,33(3):353-359.常新龙,李明,谷小飞.基于线黏弹性的埋入式聚合物光纤传感器应变传递研究[J].固体火箭技术,2010,33(3):353-359.
[22]Wu J,Chen W M,Yu K,et al.Strain sensing properties of grating ends packaged FBG sensors[J].Acta Photonica Sinica,2016,45(2):0206004.吴俊,陈伟民,余葵,等.非栅区封装光纤布喇格光栅应变传感特性研究[J].光子学报,2016,45(2):0206004.
[23]Sun L,Li C,Li J,et al.Strain transfer analysis of a clamped fiber Bragg grating sensor[J].Applied Sciences,2017,7(2):188.