Ultrasonic lamb wave propagation characteristics in hollow cylindrical pipes
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For the purpose of nondestructively evaluating the structural health of a pipe system that is used to transport a fluid or gas, it has gained significant interests to identify the characteristics of ultrasonic Lamb waves that can propagate a long distance with a small spatial decay rate, enabling to scan a long pipe section with a single array measurement. Thus, it is here proposed to develop a hybrid analytical/two-dimensional finite element method (2-D HAFEM) to analyze the Lamb wave propagation characteristics in composite pipes with arbitrary cross-sectional shapes. In this method, a pipe is modeled by using a 2- D finite element approximation in the cross-sectional directions while an analytical wave solution is assumed in the axial direction. Thus, it makes possible to use a small number of finite elements even for ultrasonic frequency analyses in a computationally efficient manner. In order to validate the proposed method, the HAFEM-predicted dispersion curves of a homogeneous, hollow cylindrical pipe are compared with analytical solutions. It is shown that the 2-D HAFEM results agree well with the analytical solutions. Copyright (2012) by the Institute of Noise Control Engineering (INCE).