非轴向力下埋入式光纤传感器应变传递分析
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摘要
利用剪滞法建立了当光纤光栅传感器的轴线和基体主应力的方向成一定角度时,光纤光栅传感器的测量应变与基体结构实际应变之间的关系,进而得出了光纤光栅传感器的平均应变传递率的一般公式。采用裸光纤光栅传感器进行实验,在倾斜角度α为30.72°时,实验所得的波长变化之比分别为:0.727,0.738,0.746;理论计算所得的波长变化之比为0.739,相对误差都在2%以内。同时分析了埋设角度偏差对测量结果的影响。研究结果表明,非轴向力作用下光纤光栅传感器的应变与结构基体应变之间的传递关系与其在轴向力作用下存在明显的区别,埋设角度的偏差会给测量结果造成一定的误差。
There is a strain transferring ratio between structure and fiber Bragg grating sensor for the existence of sensor's interlayer.A strain transfer model is developed based on shear-lag theory for evaluating the interaction between the surrounding host material and a length of fiber Bragg grating sensor embedded in it,when there is an angle existence between the sensor axis and the external principal stress direction of the host material.And the general formula of average strain transfer rate is deduced at the same time.The fiber Bragg grating sensors were used to verify the theoretical results.When the angle α is 30.72°,the wavelength changes ratios of experimental results are 0.727,0.738,0.746 respectively;and the theoretical result is 0.739,the errors are less than 2%.At last,strain measured error which are induced by sensor location angle deviation is discussed.The result indicates that the strain transfer models that the fiber Bragg grating sensor under non-axial stress and axial stress are greatly different,and the measured results have some errors because of the angle location error of fiber Bragg sensors.
There is a strain transferring ratio between structure and fiber Bragg grating sensor for the existence of sensor's interlayer.A strain transfer model is developed based on shear-lag theory for evaluating the interaction between the surrounding host material and a length of fiber Bragg grating sensor embedded in it,when there is an angle existence between the sensor axis and the external principal stress direction of the host material.And the general formula of average strain transfer rate is deduced at the same time.The fiber Bragg grating sensors were used to verify the theoretical results.When the angle α is 30.72°,the wavelength changes ratios of experimental results are 0.727,0.738,0.746 respectively;and the theoretical result is 0.739,the errors are less than 2%.At last,strain measured error which are induced by sensor location angle deviation is discussed.The result indicates that the strain transfer models that the fiber Bragg grating sensor under non-axial stress and axial stress are greatly different,and the measured results have some errors because of the angle location error of fiber Bragg sensors.
引文
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9 H.L.Cox,M.A.,F.R.Ae.S.et al..The elasticity andstrength of paper and other fibrous materials[J].British J.Appl.Phys.,1952,3(3):72~79
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11 Y.Eugene Pak.Longitudinal shear transfer in fiber optic sensors[J].Smart Materials and Structures,1992,1(1):57~62
12 Farhad Ansari,Yuan Libo.Mechanics of bond and interfaceshear transfer in optical fiber sensors[J].J.Engng.Mechanics,1998,124(4):385~394
13 Libo Yuan,Limin Zhou.Sensitivity coefficient evaluation of anembedded fiber-optic strain sensor[J].Sensor and Actuators A,1998,69:5~11
14 Gao Qing,Kang Guozheng.The revised shear-lag theory forstress transfer in short fiber composites[J].Acta MechanicaSolida Sinica,2000,21(3):198~204(in Chinese)高庆,康国正.短纤维复合材料应力传递的修正剪滞理论[J].固体力学学报,2000,21(3):198~204
15 Qingbin Li,Guang Li,Guanglun Wanget al..Elasto-plasticbonding of embedded optical fiber sensors in concrete[J].J.Engng.Mechanics,2002,128(4):471~478
16 Li Guang,Li Qingbin,Zhang Wencui.Ideal elasto-plastic modelfor internal strain measurement by fiber optic sensors[J].J.Tsinghua University(Sci&Tech),2001,41(11):102~105(in Chinese)李广,李庆斌,张文翠.光纤传感器应变量测的标定系数修正[J].清华大学学报(自然科学版),2001,41(11):102~105
17 Qingling Zhou,Xingqiang Lu,Jianrong Qiu.Beam-shapingmicrostructure optical fiber[J].Chin.Opt.Lett.,2006,3(12):686~688
18 Zhao Hongxia,Bao Jilong,Chen Ying.Research on stresstransferring rules for claded fiber Bragg gratinh by using shear lagtheory[J].Chin.J.Lasers,2006,33(5):636~640(inChinese)赵洪霞,鲍吉龙,陈莹.利用剪滞法对包覆光纤布拉格光栅应力传递规律的研究[J].中国激光,2006,33(5):636~640
19 Li Dongsheng,Li Hongnan.Strain transferring analysis ofembedded fiber Bragg grating sensors[J].Chin.J.Theoreticaland Applied Mechanics,2005,37(4):435~441(in Chinese)李东升,李宏男.埋入式封装的光纤光栅传感器应变传递分析[J].力学学报,2005,37(4):435~441
20 Zhang Liqun,Jin Riguang,Geng Haiping.The structure-performance theory research actuality of single-fiber polymercompositesⅡstress transfer model of single-fiber polymercomposites[J].Elastic Solid,1997,7(2):43~49(in Chinese)张立群,金日光,耿海萍.短纤维橡胶复合材料结构-性能关系理论研究现状Ⅱ短纤维橡胶复合材料应力传递模式[J].弹性体,1997,7(2):43~49
21 Hefei University of Technology,Chongqing Jianzhu University,Tianjin University.Metrology[M].Beijing:ChineseConstruction Industry Press,1995.77~81(in Chinese)合肥工业大学,重庆建筑大学,天津大学.测量学[M].北京:中国建筑工业出版社,1995.77~81
2 Li Hongnan,Li Dongsheng,Zhao Baidong.Progress on studyand application of smart health monitoring method by fiber opticsensor in civil engineering[J].Earthquake Engineering andEngineering Vibration,2002,22(6):76~83(in Chinese)李宏男,李东升,赵柏东.光纤健康监测方法在土木工程中的研究与应用进展[J].地震工程与工程振动,2002,22(6):76~83
3 Li Dongsheng,Liang Dakai,Pan Xiaowen.Experimental studyof fiber grating smart layer system based on fiber Bragg gratingsensors[J].Acta Optica Sinica,2005,25(9):1166~1170(inChinese)李东升,梁大开,潘晓文.基于光纤布拉格光栅传感器的光纤光栅智能夹层试验研究[J].光学学报,2005,25(9):1166~1170
4 Li Sun,Li Hong-Nan,Liang Ren.Experiment study on shrinkstrain monitoring of concrete in the cure period with FBG sensors[C].ASME,PVP,2005.71~91
5 Dong-Sheng Li,Hong-Nan Li,Liang Renet al..Experimentson an offshore platform model by FBG sensors[C].Proc.SPIE,2004,5391:100~106
6 Hu Shuyang,Zhao Qida,He Shiya.Strain measurement inconstruction steel bar using a FBG sensor coated by a thin metaltube[J].J.Optoelectronics.Laser,2004,15(6):688~690(inChinese)胡曙阳,赵启大,何士雅.金属管装光纤光栅用于建筑钢筋应变测量[J].光电子.激光,2004,15(6):688~690
7 Zhao Xuefeng,Tian Shizhu,Zhou Zhiet al..Experimental studyon strain monitoring of concrete using a steel slice packaged fibergrating[J].J.Optoelectronics.La ser,2003,14(2):171~174(in Chinese)赵雪峰,田石柱,周智等.钢片封装光纤光栅监测混凝土应变试验研究[J].光电子.激光,2003,14(2):171~174
8 Zhao Zhanchao,Liu Haowu,Cai Desuo.Study on losslessmonitoring of concrete structure using fiber sensor[J].Advancesin Mechanics,1995,25(2):223~231(in Chinese)赵占朝,刘浩吾,蔡德所.光纤传感无损检测混凝土结构研究述评[J].力学进展,1995,25(2):223~231
9 H.L.Cox,M.A.,F.R.Ae.S.et al..The elasticity andstrength of paper and other fibrous materials[J].British J.Appl.Phys.,1952,3(3):72~79
10 Antonio Nanni,C.C.Yang,Kun Panet al..Fiber-optic sensorfor concrete strain/stress measurement[J].ACI Materials J.,1991,88(3):257~264
11 Y.Eugene Pak.Longitudinal shear transfer in fiber optic sensors[J].Smart Materials and Structures,1992,1(1):57~62
12 Farhad Ansari,Yuan Libo.Mechanics of bond and interfaceshear transfer in optical fiber sensors[J].J.Engng.Mechanics,1998,124(4):385~394
13 Libo Yuan,Limin Zhou.Sensitivity coefficient evaluation of anembedded fiber-optic strain sensor[J].Sensor and Actuators A,1998,69:5~11
14 Gao Qing,Kang Guozheng.The revised shear-lag theory forstress transfer in short fiber composites[J].Acta MechanicaSolida Sinica,2000,21(3):198~204(in Chinese)高庆,康国正.短纤维复合材料应力传递的修正剪滞理论[J].固体力学学报,2000,21(3):198~204
15 Qingbin Li,Guang Li,Guanglun Wanget al..Elasto-plasticbonding of embedded optical fiber sensors in concrete[J].J.Engng.Mechanics,2002,128(4):471~478
16 Li Guang,Li Qingbin,Zhang Wencui.Ideal elasto-plastic modelfor internal strain measurement by fiber optic sensors[J].J.Tsinghua University(Sci&Tech),2001,41(11):102~105(in Chinese)李广,李庆斌,张文翠.光纤传感器应变量测的标定系数修正[J].清华大学学报(自然科学版),2001,41(11):102~105
17 Qingling Zhou,Xingqiang Lu,Jianrong Qiu.Beam-shapingmicrostructure optical fiber[J].Chin.Opt.Lett.,2006,3(12):686~688
18 Zhao Hongxia,Bao Jilong,Chen Ying.Research on stresstransferring rules for claded fiber Bragg gratinh by using shear lagtheory[J].Chin.J.Lasers,2006,33(5):636~640(inChinese)赵洪霞,鲍吉龙,陈莹.利用剪滞法对包覆光纤布拉格光栅应力传递规律的研究[J].中国激光,2006,33(5):636~640
19 Li Dongsheng,Li Hongnan.Strain transferring analysis ofembedded fiber Bragg grating sensors[J].Chin.J.Theoreticaland Applied Mechanics,2005,37(4):435~441(in Chinese)李东升,李宏男.埋入式封装的光纤光栅传感器应变传递分析[J].力学学报,2005,37(4):435~441
20 Zhang Liqun,Jin Riguang,Geng Haiping.The structure-performance theory research actuality of single-fiber polymercompositesⅡstress transfer model of single-fiber polymercomposites[J].Elastic Solid,1997,7(2):43~49(in Chinese)张立群,金日光,耿海萍.短纤维橡胶复合材料结构-性能关系理论研究现状Ⅱ短纤维橡胶复合材料应力传递模式[J].弹性体,1997,7(2):43~49
21 Hefei University of Technology,Chongqing Jianzhu University,Tianjin University.Metrology[M].Beijing:ChineseConstruction Industry Press,1995.77~81(in Chinese)合肥工业大学,重庆建筑大学,天津大学.测量学[M].北京:中国建筑工业出版社,1995.77~81
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