VIBRATION AND STABILITY ANALYSIS OF CANTILEVERED TWO-PIPE SYSTEMS CONVEYING DIFFERENT FLUIDS |
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| Institution: | 1. Faculty of Engineering, China University of Geosciences, Wuhan, 430074, PR China;2. College of Petroleum Engineering, China University of Petroleum, Beijing, 102249, PR China;1. Département de Génie Mécanique, Université de Sherbrooke, Sherbrooke, Canada J1K 2R1;2. Université de Lyon, CNRS UMR5259, LaMCoS, INSA-Lyon, F-69621 Villeurbanne, France;3. Département de Génie Mécanique, Université Laval, Québec, Canada G1V 0A6;1. China Manned Space Engineering Office, No. 1 ZhanTan Altar, Beijing, 100034, China;2. College of Mechanical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China;1. Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005 Paris, France;2. Laboratoire DynFluid, Arts et Métiers ParisTech, 151 bd. de l’Hôpital, 75013 Paris, France;3. LIMSI-CNRS, rue John von Neumann, BP 133, Bt 508, F-91403 Orsay Cedex, France |
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| Abstract: | This paper considers the dynamic stability of plane transverse oscillations of two cantilevered pipes interconnected along their outer radii and conveying different fluids with different flow speeds. Stability curves depicting the relation between the two flow speeds at the stability boundary are shown for a number of fluid-structure mass ratios. One fluid flow may dissipate energy delivered to the system by the other, if the speed of the first one is not too large. One pipe can thus be thought of as a stabilizer to the other, with the aim of increasing the critical speed of the primary flow. The stabilizing effect of one fluid on the other is clarified through considerations of an energy equation together with flutter oscillation shapes. The energy equation is also used to derive a relation between the two flow speeds and the phase speed of the flow-induced travelling bending wave. |
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