基于提升小波包和模糊模式识别的结构损伤识别
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摘要
针对网架结构的损伤特点,提出基于提升小波包特征提取的模糊模式识别的结构损伤诊断方法。该方法首先利用提升框架,将结构振动测试信号进行提升小波包分解,提取小波包信号分量能量作为损伤识别的特征向量,以此建立模糊模式识别的模糊子集,最后利用模糊C均值聚类分析与择近原则相结合的模糊模式识别方法对结构进行损伤识别,并研究噪声对该算法的影响。为了证明该方法,对一个二层网架结构模型进行数值仿真,结果表明该方法能够有效地识别损伤。
The damage identification method of truss structure based on lifting wavelet packet analysis and fuzzy pattern recognition is developed according to damage feature of the structure.Firstly,the vibration signal is decomposed using lifting wavelet packet(WP) analysis,and then the corresponding characteristic vector of damage identification is established by the lifting WP component energy,which can be used as the subset of fuzzy pattern recognition.Finally,the damage is detected based on fuzzy C-means clustering and the nearest neighbor algorithm,and the effect of noise on these algorithm is also studied.In order to verify the proposed method,the numerical simulation of a two-story truss structure model is carried out.The results show that the proposed method can be effectively used to identify the damage of structures.
The damage identification method of truss structure based on lifting wavelet packet analysis and fuzzy pattern recognition is developed according to damage feature of the structure.Firstly,the vibration signal is decomposed using lifting wavelet packet(WP) analysis,and then the corresponding characteristic vector of damage identification is established by the lifting WP component energy,which can be used as the subset of fuzzy pattern recognition.Finally,the damage is detected based on fuzzy C-means clustering and the nearest neighbor algorithm,and the effect of noise on these algorithm is also studied.In order to verify the proposed method,the numerical simulation of a two-story truss structure model is carried out.The results show that the proposed method can be effectively used to identify the damage of structures.
引文
[1] SWDLDENS W. The lifting scheme: A construction of second generation wavelets [J]. SIAM J. Math. Anal., 1996, 29 (2):511-546.
[2] DAVIS G,STRELA V, TURCAJOVA R. Multiwavelet construction via the lifting scheme [C]. Wavelet analysis and multiresolution methods, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 1999：57-79.
[3] KHADEM S E,REZAEE M. Development of vibration signature analysis using multiwavelet systems [J].Journal of Sound and Vibration, 2003, 261(4):613-633.
[4] Reda Taha, M.M. and Lucero, J.. Damage identification for structural health monitoring using fuzzy pattern recognition[J]. Engineering Structure, 2005,27(12):1774-1783.
[5] 林椹桫, 薛文, 宋国乡. 基于提升框架的M 通道小波滤波器的构造[J]. 计算机科学2006,33(4)：202-204.
[6] W. Sweldens, The lifting scheme: a custom-designconstruction of biorthogonal wavelets[J].Applied Computer Harmonic Analysis,1996,3:186–200.
[7] Hongrui Cao, Xuefeng Chen, Yanyang Zi,etc. End milling tool breakage detection using lifting scheme and Mahalanobis distance.[J], International Journal of Machine Tools & Manufacture ,2008,48:141–151.
[8] W. Sweldens, The lifting scheme: a construction of second generation wavelets[J].SIAM Journal on Mathematical Analysis,1998,29 (2):511–546.
[9] YunaPan , JinChen , XinglinLi. Bearing performance degradation assessment based on lifting wavelet packet decomposition and fuzzy c-means.[J]. Mechanical Systems and Signal Processing,2010,24:559–566.
[10] 瞿伟廉, 郭佳凡, 周耀. 高耸塔架结构节点损伤的一步诊断法[J]. 武汉理工大学学报,2005,27(12)：65-67.
[11] 谢季坚, 刘承平. 模糊数学基础[M]. 武汉：华中科技大学出版社,2000.
[12] 杨光正, 吴岷, 张晓莉. 模式识别[M]. 合肥：中国科学技术大学出版社,2001.
[13] 高新波. 模糊聚类分析及其应用[M]. 西安：西安电子科技大学出版社，2004.
[14] Tinothy J.Ross.Fuzzy logic with engineering applications[M]. 钱同惠,等译. 北京：电子工业出版社,2001.
[15] 闫维明， 王卓， 何浩祥，等. 基于小波包分解和模糊聚类的网格结构损伤诊断方法[J]. 地震工程与工程振动,2006,26(2)：56-61.
[2] DAVIS G,STRELA V, TURCAJOVA R. Multiwavelet construction via the lifting scheme [C]. Wavelet analysis and multiresolution methods, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 1999：57-79.
[3] KHADEM S E,REZAEE M. Development of vibration signature analysis using multiwavelet systems [J].Journal of Sound and Vibration, 2003, 261(4):613-633.
[4] Reda Taha, M.M. and Lucero, J.. Damage identification for structural health monitoring using fuzzy pattern recognition[J]. Engineering Structure, 2005,27(12):1774-1783.
[5] 林椹桫, 薛文, 宋国乡. 基于提升框架的M 通道小波滤波器的构造[J]. 计算机科学2006,33(4)：202-204.
[6] W. Sweldens, The lifting scheme: a custom-designconstruction of biorthogonal wavelets[J].Applied Computer Harmonic Analysis,1996,3:186–200.
[7] Hongrui Cao, Xuefeng Chen, Yanyang Zi,etc. End milling tool breakage detection using lifting scheme and Mahalanobis distance.[J], International Journal of Machine Tools & Manufacture ,2008,48:141–151.
[8] W. Sweldens, The lifting scheme: a construction of second generation wavelets[J].SIAM Journal on Mathematical Analysis,1998,29 (2):511–546.
[9] YunaPan , JinChen , XinglinLi. Bearing performance degradation assessment based on lifting wavelet packet decomposition and fuzzy c-means.[J]. Mechanical Systems and Signal Processing,2010,24:559–566.
[10] 瞿伟廉, 郭佳凡, 周耀. 高耸塔架结构节点损伤的一步诊断法[J]. 武汉理工大学学报,2005,27(12)：65-67.
[11] 谢季坚, 刘承平. 模糊数学基础[M]. 武汉：华中科技大学出版社,2000.
[12] 杨光正, 吴岷, 张晓莉. 模式识别[M]. 合肥：中国科学技术大学出版社,2001.
[13] 高新波. 模糊聚类分析及其应用[M]. 西安：西安电子科技大学出版社，2004.
[14] Tinothy J.Ross.Fuzzy logic with engineering applications[M]. 钱同惠,等译. 北京：电子工业出版社,2001.
[15] 闫维明， 王卓， 何浩祥，等. 基于小波包分解和模糊聚类的网格结构损伤诊断方法[J]. 地震工程与工程振动,2006,26(2)：56-61.
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