The partial differential equations for curved pipes with fluid structure interaction, including the effects of fluid pressure and Coriolis force, Centrifugal force and migration force caused by flow velocity, etc., were derived. These equations were then solved numerically utilizing the transfer matrix method (TMM) in the frequency domain because of its computational efficiency. The results were compared with those predicted by the finite element method and a discrete model. It is demonstrated that the TMM has high precision in the vibration analysis of fluid-filled curved pipes. Furthermore, the influence laws of geometrical properties on the natural frequencies and frequency responses of pipeline are discussed, which show that the natural frequencies of the fluid do not change with the varying of curvature angle when curved pipe filled with steam. But the resonance frequencies of the out-of-plane vibration and vibration amplitudes of the fluid pressure waves are strongly influenced by the variation of curvature angle.
Vibration Analysis of Curved Pipes Conveying Fluid
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Liu, G, Li, S, & Karney, BW. "Vibration Analysis of Curved Pipes Conveying Fluid." Proceedings of the ASME 2014 Pressure Vessels and Piping Conference. Volume 3: Design and Analysis. Anaheim, California, USA. July 20–24, 2014. V003T03A027. ASME. https://doi.org/10.1115/PVP2014-28327
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