混合谱二维傅里叶变换法识别兰姆波模式
Modes Recognition of Lamb Wave by Means of a Mixed-Spectral Two-Dimensional FFT
摘 要
在分析二维傅里叶变换原理的基础上，将快速傅里叶变换(FFT)和自回归(AR)参数估计相结合，采用混合谱二维傅里叶变换方法，对铝板中的兰姆波模式进行识别。试验结果表明，与二维快速傅里叶变换相比，混合谱估计方法能精确检测多模式超声兰姆波相速度，对兰姆波模式识别力大大提高。混合谱二维傅里叶变换方法在超声导波检测研究中具有广泛的应用前景。
频散
二维傅里叶变换
Lamb wave testing
Dispersion
Two-dimensional fourier trasform
Abstract
Based on the analysis of two-dimensional Fourier transform method (2-D FFT), a mixed-spectral estimation was proposed combined with FFT and AR model for the recognition of Lamb wave propagating model in aluminum plates. Experimental results showed that the mixed-spectral estimation could detect the ultrasonic phase velocity of multi-mode Lamb wave accurately, compared with the conventional two-dimensional Fourier transform methods, the resolving power of the new method was highly increased. The mixed-spectral estimation methods could be widely used for development of ultrasonic guided wave testing.
中图分类号 TG115.28
所属栏目 科研成果与学术交流
基金项目 铁道部科技研发计划项目(2007G040)；无损检测技术教育部重点实验室开放基金(ZD200729004)
收稿日期 2007/12/26
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备注卢 超(1971-)，男，副教授，主要从事声学和无损检测相关的科研和教学工作。
引用该论文: LU Chao,LI Lian-Xiu,TU Zhan-Kuan. Modes Recognition of Lamb Wave by Means of a Mixed-Spectral Two-Dimensional FFT[J]. Nondestructive Testing, 2008, 30(11): 809～812
卢 超,黎连修,涂占宽. 混合谱二维傅里叶变换法识别兰姆波模式[J]. 无损检测, 2008, 30(11): 809～812
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参考文献
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【3】Wolggang Sachse , Yih-Hsing Pao. On the determination of phase and group velocities of dispersive waves in solids[J]. Journal of Applied Physics,1978,49(8):4320-4327.
【4】Hyunjo Jeong, Young-Su Jang. Fracture source location in the thin plates using the wavelet transform of dispersive waves[J]. IEEE Trans on Ultrasonics, Ferroelectrics, and Frequency Control,2000,47(3):612-619.
【5】Zhao B, Basir O A. Estimation of ultrasound attenuation and dispersion using short time Fourier transform[J]. Ulreasonics,2005,43(4):375-381.
【6】郑祥明，顾向华.超声兰姆波的时频分析[J].声学学报,2003,28(4):368-374.
【7】他得安，刘镇清.超声无损检测中的二维快速Fourier变换及Wigner-Ville变换[J].无损检测,2001,23(7):313-316.
【8】Alleyne D, Cawley P. A two-dimensional Fourier transform methods for the measurement of propagation multimode signals[J]. The Journal of Acoustics Society of American,1991,89(3):1159-1168.
【9】刘镇清，他得安.二维傅里叶变换识别兰姆波模式的研究[J].声学技术,2000,19(4):211-219.
【10】张海燕，吕东辉，刘镇清.二维傅里叶变换在Lamb波模式识别研究中的应用[J].振动、测试与诊断,2004,24(1):23-26.
【11】杨叔子，吴 雅.时间序列分析的工程应用(上)[M].武汉：华中理工大学出版社,1991:123-125.
【12】吴怀宇.时间序列分析与综合[M].武汉：武汉大学出版社,2004:130-131.
【13】艾春安，李 剑.兰姆波频率方程的数值解法[J].无损检测,2005,27(6):294-296.
【14】刘镇清，张海燕.固/液/固三层结构板中超声兰姆波的频散曲线[J].声学技术,2001,26(2):89-91.
【15】Nayfeh A H. Wave Propagation in Layered Anisotropic Media with Application to Composites[M]. Amsterdam: Elsevier,1995.
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