Prediction of Ultrasonic Guided Wave Dispersion in Bent Pipes Using Finite Element Analysis and 2-D Fourier Transform
Prediction of Ultrasonic Guided Wave Dispersion in Bent Pipes Using Finite Element Analysis and 2-D Fourier Transform
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使用有限元分析和二维傅立叶变换预测弯管中的超声导波色散
DOI：
10.4028/www.scientific.net/kem.297-300.2065
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Dong Hun Lee
中科院分区：
文献类型：
--
作者：
S. Song;Y. H. Kim;Joon;H. Yu;Y. Cheong;H. Jung;Dong Hun Lee
本文采用三维有限元法和二维傅里叶变换法，得到了弯曲圆管的频散曲线。通过使用通用有限元程序计算弯管的瞬态响应，并且在一系列连续点处提取位移作为空间位置和时间u（x，t）的函数。然后对u（x，t）进行二维FFT，得到波数与角频率的关系U（k，ω），从而计算相速度和群速度。最后，用小波变换进行模式识别，验证了结果的正确性.这两种方法调用的模式非常一致。
In this paper, the dispersion curves of a bent cylindrical pipe are obtained by using the 3-dimensional finite element modeling and 2-dimenstional Fourier transform. The transient responses of the bent pipe are calculated by using a general-purpose finite element program, and the displacements are extracted at a series of sequential points as a function of spatial position and time, u(x,t). Then 2-dimentional FFT of u (x,t) offers U (k,ω), the relation between wave number and angular frequency so that the phase velocity and group velocity can be calculated. In addition, verification of the result is made by the mode identification using wavelet transform. The modes invoked by both methods agree very well.