Abstract
In this study, a hybrid finite element and extended transfer matrix method (FEM-ETMM) is formulated to simulate the breathing effect and fluid disturbances of a fluid-conveying cracked pipeline (FCCP). Furthermore, the frequency spectra of structural intensity (SI) responses and the normalized displacement-structural intensity (D-SI) curves are used to detect cracks. In this FEM-ETMM, the finite element method (FEM) is adopted to determine the contact state and establish the equivalent contact model, and the extended transfer matrix method (ETMM) is obtained by constructing the state transfer matrix in the crack region. Based on ETMM, the time-varying fluid disturbances are obtained. Furthermore, the model modal reduction and parametric modeling methods are used to improve solution efficiency. Finally, the effects of the crack parameters on vibration responses with and without considering fluid disturbances are analyzed. The results show that SI responses can amplify the odd-mode harmonics, thereby accurately detecting cracks at different depths and locations. In addition, the fluid disturbances change the contact states and enhance the damping effect. The proposed modeling and analysis method will provide valuable insights for crack detection of pipelines.
Published Version
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