Investigation of the Effects of Velocity and Radius of Curvature on Natural Frequencies of Curved Pipes Conveying Fluid

In this paper, the effects of pipe curvature and fluid velocityon natural frequencies of curved pipes conveying fluid areinvestigated. The results obtained by ANSYS software arecompared by accurate results which is available in literature.The fluid flow is considered inviscid, incompressible andlaminar. It is shown that by increasing the radius ofcurvature of pipe, the pipe behaves like a Timoshenko tube.Hence, it can be solved by using Hamilton principle. Both ofthe pipe motions (i.e., in-plane and out-of-plane motions)are analyzed. The critical velocity of in-plane motions iscannot commented, due to the fact that the velocity in outof-plane motion tends to its critical point faster than thevelocity in in-plane motion.