考虑材料各向异性的纤维增强聚合物基复合材料板损伤Lamb波检测和定位
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摘要
超声Lamb波法是检测板状结构损伤的常用方法,然而纤维增强聚合物基复合材料(Fiber reinforced plastics,FRP)本身的各向异性会对Lamb波损伤定位的精度造成较大的影响。为了解决此问题,在传统椭圆法的基础上,提出了考虑材料各向异性的时间概率密度法的损伤定位方法。该方法通过考虑不同传播方向的A0模态波的群速度变化,计算FRP板上任意一点存在损伤的反射波的走时,得到声波传播时间图。创建声波传播时间与实际损伤反射波走时的映射关系,可得到能表征损伤存在概率的时间概率密度图,通过相应的数值分析和实验研究,发现本方法误差比传统椭圆法误差的减小率可达到70%以上,论证本方法对各向异性FRP板损伤定位的可行性和准确性。
Ultrasonic Lamb wave method is a common method to detect the damage of fiber reinforced plastics(FRP)plate.However,the anisotropy material property of FRP will have a great effect on the accuracy of damage location based on lamb wave method.In order to solve this problem,a time probability density method was proposed.The method is developed from traditional ellipse method and it considers the anisotropy property of FRP material.By taking account of the group velocity variation of A0 mode waves with different propagation directions,this method calculated the travel time of the reflection wave with any damage on FRP plate,and the time flight diagram could be obtained.By establishing the mapping relationship between the time of flight and the travel time of the actual damage reflected wave,a time probability density map could be obtained to characterize the probability of the existence of the damage.The result from numerical analysis and experimental study shows that the damage location error of this method can be reduced by more than 70% compared with that of the traditional ellipse method.This paper demonstrates the feasibility and accuracy of this method for the damage location of anisotropic FRP plates.
Ultrasonic Lamb wave method is a common method to detect the damage of fiber reinforced plastics(FRP)plate.However,the anisotropy material property of FRP will have a great effect on the accuracy of damage location based on lamb wave method.In order to solve this problem,a time probability density method was proposed.The method is developed from traditional ellipse method and it considers the anisotropy property of FRP material.By taking account of the group velocity variation of A0 mode waves with different propagation directions,this method calculated the travel time of the reflection wave with any damage on FRP plate,and the time flight diagram could be obtained.By establishing the mapping relationship between the time of flight and the travel time of the actual damage reflected wave,a time probability density map could be obtained to characterize the probability of the existence of the damage.The result from numerical analysis and experimental study shows that the damage location error of this method can be reduced by more than 70% compared with that of the traditional ellipse method.This paper demonstrates the feasibility and accuracy of this method for the damage location of anisotropic FRP plates.
引文
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[20] ZHANG Y,HUANG S,WANG S,et al.Recognition of overlapped lamb wave detecting signals in aluminum plate by emd-based STFT flight time extraction method[J].International Journal of Applied Electromagnetics&Mechanics,2016,52(3-4):991-998.
[21]王成,范书义,余磊.基于NextKit的奈奎斯特采样定律示教系统[J].教育现代化,2016(24):164-165,173.WANG Cheng,FAN Shuyi,YU Lei.Nyquist sampling law system based on NextKit[J].Education Modernization,2016(24):164-165,173(in Chinese).
[22] ELETI A A,ZEREK A R.FIR digital filter design by using windows method with MATLAB[C].International Conference on Sciences and Techniques of Automatic Control and Computer Engineering.IEEE,2014:282-287.
[2]杜善义.先进复合材料与航空航天[J].复合材料学报,2007,24(1):1-12.DU Shanyi.Advanced composite materials and aerospace engineering[J].Acta Materiae Compositae Sinica,2007,24(1):1-12(in Chinese).
[3]钱伯章.碳纤维增强复合材料的年需求增长率将达13%[J].合成纤维,2015(1):56.QIAN Bozhang.The annual growth rate of carbon fiber reinforced composites will reach 13%[J].Synthetic Fiber in China,2015(1):56(in Chinese).
[4] HERBERT G M J,INIYAN S,SREEVALSAN E,et al.A review of wind energy technologies[J].Renewable&Sustainable Energy Reviews,2007,11(6):1117-1145.
[5]陈绍杰,申振华,徐鹤山.复合材料与风力机叶片[J].可再生能源,2008,26(2):90-92.CHEN Shaojie,SHEN Zhenhua,XU Heshan.Composite material and wind turbine blades[J].Renewable Energy Resources,2008,26(2):90-92(in Chinese).
[6]焦海龙.浅谈FRP在土木工程领域中的应用[J].房地产导刊,2014(18):133.JIAO Hailong.The application of FRP in the field of civil engineering[J].Real Estate Biweekly,2014(18):133(in Chinese).
[7]钟永腾,袁慎芳,邱雷.基于梅花阵列的复合材料全方位冲击定位方法[J].复合材料学报,2014,31(5):1369-1374.ZHONG Yongteng,YUAN Shenfang,QIU Lei.Omin-directional impact localization method on composite structure using plum blossom array[J].Acta Materiae Compositae Sinica,2014,31(5):1369-1374(in Chinese).
[8]刘增华,余锋祥,徐营赞,等.基于各向异性Lamb波波速的复合材料缺陷成像[C].全国无损检测学术年会.南昌:中国机械工程学会无损检测分会,2013:293-297.LIU Zenghua,YU Fengxiang,XU Yingzan,et al.Defect imaging of composite plate considering group velocity anisotropy of lamb waves[C].National Annual Conference on NDT.Nanchang:NDT of China Institute of Mechanical Engineering,2013:293-297(in Chinese).
[9] MONKHOUSE R S C,WILCOX P W,LOWE M J S,et al.The rapid monitoring of structures using interdigital lamb wave transducers[J].Smart Materials&Structures,2000,9(3):304-309.
[10] YEUM C M,SOHN H,IHN J B.Lamb wave mode decomposition using concentric ring and circular piezoelectric transducers[J].Wave Motion,2011,48(4):358-370.
[11]刘彬,邱雷,袁慎芳,等.复合材料T型接头损伤监测的概率成像方法[J].振动.测试与诊断,2015(3):519-524.LIU Bin,QIU Lei,YUAN Shenfang,et al.Probabilistic imaging method for damage monitoring of composite T joint[J].Journal of Vibration,Measurement&Diagnosis,2015(3):519-524(in Chinese).
[12] ALLEYNE D N,CAWLEY P.The interaction of lamb waves with defects[J].IEEE Transactions on Ultrasonics Ferroelectrics&Frequency Control,1992,39(3):381-397.
[13]张海燕,刘镇清,吕东辉.全局矩阵法及其在层状各向异性复合板中Lamb波传播特性研究中的应用[J].复合材料学报,2004,21(2):111-116.ZHANG Haiyan, LIU Zhenqing, LV Donghui. Global matrix and its application to study on lamb wave propagation in layered anisotropic composite plates[J].Acta Materiae Compositae Sinica,2004,21(2):111-116(in Chinese).
[14] FENDZI C,MECHBAL N,REBILLAT M,et al.A general bayesian framework for ellipse-based and hyperbola-based damage localisation in anisotropic composite plates[J].Journal of Intelligent Material Systems&Structures,2015,27(3):1-25.
[15]孙亚杰,张永宏,袁慎芳,等.无参考Lamb波相控阵结构损伤监测成像方法[J].复合材料学报,2013,30(6):264-269.SUN Yajie,ZHANG Yonghong,YUAN Shenfang,et al.Baseline-free lamb wave phased array imaging method for structural damage monitoring[J].Acta Materiae Compositae Sinica,2013,30(6):264-269(in Chinese).
[16] BOCCHINI P,MARZANI A,VIOLA E.Graphical user interface for guided acoustic waves[J].Journal of Computing in Civil Engineering,2011,25(3):202-210.
[17] MARZANI A,BARTOLI I.High frequency waves propagating in octagonal bars:A low cost computation algorithm[J].Algorithms,2009,2(1):227-246.
[18] MARZANI A.Time-transient response for ultrasonic guided waves propagating in damped cylinders[J].International Journal of Solids&Structures,2008,45(25):6347-6368.
[19] AI C,CAI X,LI J,et al.Finite element simulation of lamb wave detection in thin plate[C]//2016International Conference on Mechatronics Engineering and Information Technology.2016:124-129.
[20] ZHANG Y,HUANG S,WANG S,et al.Recognition of overlapped lamb wave detecting signals in aluminum plate by emd-based STFT flight time extraction method[J].International Journal of Applied Electromagnetics&Mechanics,2016,52(3-4):991-998.
[21]王成,范书义,余磊.基于NextKit的奈奎斯特采样定律示教系统[J].教育现代化,2016(24):164-165,173.WANG Cheng,FAN Shuyi,YU Lei.Nyquist sampling law system based on NextKit[J].Education Modernization,2016(24):164-165,173(in Chinese).
[22] ELETI A A,ZEREK A R.FIR digital filter design by using windows method with MATLAB[C].International Conference on Sciences and Techniques of Automatic Control and Computer Engineering.IEEE,2014:282-287.