基于振动响应相关性的简支梁桥损伤识别方法
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摘要
针对已有的结构损伤识别方法需要已知结构损伤前的响应信息这种情况,尝试将提升小波变换与振动响应相关系数结合起来,提出一种不需要知道结构损伤前响应信息的简支梁桥结构损伤识别新方法。利用移动荷载激励作用下数值计算出的结构位移响应和经过提升小波变换处理后的位移响应,分别计算出相应的损伤指标,即位移响应相关系数曲率(Correlation Coefficient Curvature,CCC)。发现由提升小波变换处理后的位移响应计算出的损伤指标相对于直接利用位移响应计算出的损伤指标,损伤识别效果有很大提升,且基本不受车辆行驶速度的影响。通过对多种损伤工况下的简支梁桥的数值模拟和跨中损伤工况下的模型实验,证实了该损伤识别方法在结构损伤前响应信息未知的前提下,仍然具有可行性和有效性。
In view of the existing structural damage identification method needing to know the response information before structural damage,this paper attempts to combine lifting wavelet transform with the correlation coefficient of vibration response and to propose a new method for structural damage identification of simply supported girder bridge without the need of knowing the response information before structural damage.The damage index(also known as corresponding correlation coefficient curvature,CCC)are calculated respectively using the numerical displacement response obtained under moving loads and the response transformed by lifting wavelet.It is found that the damage index calculated using the displacement response transformed by lifting wavelet can identify the damage position more accurately and less influenced by speed of vehicle,compared with damage index directly calculated using displacement response.The feasibility and validity of the proposed method which does not need the response of intact structure are verified by numerical examples under different damage conditions and experiments of simply-supported girder bridge.
In view of the existing structural damage identification method needing to know the response information before structural damage,this paper attempts to combine lifting wavelet transform with the correlation coefficient of vibration response and to propose a new method for structural damage identification of simply supported girder bridge without the need of knowing the response information before structural damage.The damage index(also known as corresponding correlation coefficient curvature,CCC)are calculated respectively using the numerical displacement response obtained under moving loads and the response transformed by lifting wavelet.It is found that the damage index calculated using the displacement response transformed by lifting wavelet can identify the damage position more accurately and less influenced by speed of vehicle,compared with damage index directly calculated using displacement response.The feasibility and validity of the proposed method which does not need the response of intact structure are verified by numerical examples under different damage conditions and experiments of simply-supported girder bridge.
引文
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[14] Suarez-Alvarez M M,Pham D T,Prostov M Y,et al.Statistical approach to normalization of feature vectors and clustering of mixed datasets[J].Proceedings Mathematical Physical&Engineering Sciences,2012,468(2145):2630-2651.
[15] Yang Y B,Lin C W.Vehicle-bridge interaction dynamics and potential applications[J].Journal of Sound&Vibration,2005,284(1-2):205-226.
[2]李忠献,杨晓明,丁阳.基于结构响应统计特征的神经网络损伤识别方法[J].工程力学,2007,24(9):1-7(LI Zhongxian,YANG Xiaoming,DING Yang.Damage identification neural network method based on statistical property of structural responses[J].Engineering Mechanics,2007,24(9):1-7(in Chinese))
[3]党晓娟,杨智春,王乐.离散小波变换和互相关函数幅值向量在复合材料层合结构损伤检测中的应用[J].机械强度,2010,32(2):34-38(DANG Xiaojuan,YANG Zhichun,WANG Le.Damage detection of composite laminated structure by discrete wavelet transform and CORV method[J].Journal of Mechanical Strength,2010,32(2):34-38(in Chinese))
[4] Bayissa W L,Haritos N,Thelandersson S.Vibration-based structural damage identification using wavelet transform[J].Mechanical Systems&Signal Processing,2008,22(5):1194-1215.
[5]闫维明,顾大鹏,陈彦江,等.基于加速度响应相关性的结构损伤识别方法[J].振动与冲击,2013,32(14):82-86(YAN Weiming,GU Dapeng,CHEN Yanjiang,et al.A method for structural damage detection based on correlation characteristic of acceleration response[J].Journal of Vibration and Shock,2013,32(14):82-86(in Chinese))
[6] Duan C D,He Z J,Jiang H K.A sliding window feature extraction method for rotating machinery based on the lifting scheme[J].Journal of Sound and Vibration,2007,299(4):774-785.
[7]孙增寿,范科举.基于提升小波熵指标的梁板组合桥损伤识别研究[J].振动与冲击,2012,31(11):114-117(SUN Zengshou,FAN Keju.Damage detection for a gird-slab combined bridge based on lifting wavelet entropy indexes[J].Journal of Vibration and Shock,2012,31(11):114-117(in Chinese))
[8]孙增寿,张耀,王希东.基于运营环境和提升小波变换的桥梁损伤检测研究[J].防灾减灾工程学报,2014,34(6):718-724(SUN Zengshou,ZHANG Yao,WANG Xidong.Research on bridge damage detection based on operational environment and lifting wavelet transform[J].Journal of Disaster Prevention and Mitigation Engineering,2014,34(6):718-724(in Chinese))
[9]王晓春,刘习军,张素侠.基于提升小波变换和互相关函数的梁式桥损伤检测[J].实验力学,2017,32(4):487-494(WANG Xiaochun,LIU Xijun,ZHANG Suxia.Beam bridge damage detection based on lifting wavelet transform and cross correlation function[J].Journal of Experimental Mechanics,2017,32(4):487-494(in Chinese))
[10]杨晓楠,唐和生,陈镕,等.钢结构损伤识别中Db族小波函数选择[J].同济大学学报(自然科学版),2006,34(12):1568-1572(YANG Xiaonan,TANG Hesheng,CHEN Rong,et al.Selection on Db′s family wavelet functions in steel structural damage identification[J].Journal of Tongji University(Natural Science),2006,34(12):1568-1572(in Chinese))
[11]赵俊,张伟伟,马宏伟.移动载荷作用下简支梁的动态响应及裂纹损伤识别研究[J].振动与冲击,2011,30(6):97-103(ZHAO Jun,ZHANG Weiwei,MA Hongwei.Dynamic response and crack detection of simply supported beam under moving loads[J].Journal of Vibration and Shock,2011,30(6):97-103(in Chinese))
[12]盛骤,谢式千,潘承毅.概率论与数理统计[M].北京:高等教育出版社,2001:129-131(SHENG Zhou,XIE Shiqian,PAN Chengyi.Probability theory and mathematical statistics[M].Beijing:Higher Education Press,2001:129-131(in Chinese))
[13]杨小森,闫维明,陈彦江,等.基于振动信号统计特征的损伤识别方法[J].公路交通科技,2013,30(12):99-106(YANG Xiaosen,YAN Weiming,CHEN Yanjiang,et al.Damage detection method based on statistics characteristics of vibration signal[J].Journal of Highway and Transportation Research and Development,2013,30(12):99-106(in Chinese))
[14] Suarez-Alvarez M M,Pham D T,Prostov M Y,et al.Statistical approach to normalization of feature vectors and clustering of mixed datasets[J].Proceedings Mathematical Physical&Engineering Sciences,2012,468(2145):2630-2651.
[15] Yang Y B,Lin C W.Vehicle-bridge interaction dynamics and potential applications[J].Journal of Sound&Vibration,2005,284(1-2):205-226.