Abstract
Resonances in flexible fluid conveying pipes have been theoretically and experimentally analyzed from the practical and physical points of view. The excitation mechanisms for the resonances of a fluid conveying straight pipe have been given considerable attention. There are many study of analysis of the fluid conveying straight pipe. But, in contrast with the analysis of the resonance phenomena of fluid conveying straight pipe, there are few studies on the fluid conveying curved pipe. There are some studies which tried to introduce governing equations of the fluid conveying curved pipe. These studies however, have obscure points about fluid force and geometric relations in deriving governing equations. These studies put in fluid force as apparent force without introducing fluid force from the fluid acceleration and take no account of case analysis about Euler angle. In this paper, we derived equations governing spatial motions of a fluid conveying curved pipe with consideration for fluid force and geometric relations. From governing equations, we show in-plane motion is generated.
