Pipeline Viv: Analytical Solution, Experiments And Parameter Identification

The study presents a closed-form solution for the vibration of a simply-supported beam due to vortex shedding, assuming linear elasticity and considering fluid damping. The in-line and cross-flow fluid forces are coupled to the beam equation as harmonic nonhomogeneous terms. Experimental results of 2 DOF VIV of a flexible small scale pipe in a uniform stream are presented for perpendicular an oblique (at 60 degrees of the translation direction) pipe. The range of relative velocity is from 1 to 10. The performance of two fluid damping models (Venugopal, 1996; Blevins - modified, 1990) is evaluated by comparing their predictions to the measurements of the in-line and cross-flow oscillations. Finally, ranges for in-line and cross-flow force coefficients are proposed and compared to the literature. Copyright © 2009 by ASME.5683693Ocean, Offshore, and Arctic Engineering Division, ASMEBlevins, R.D., (2001) Flow Induced Vibrations, , Krieger PublishingKing, R., A Review of Vortex Shedding Research and its Application (1977) Ocean Engn., 4, pp. 141-171Sarpkaya, T., A critical review of the intrinsic nature of vortex-induced vibrations (2004) Journal of Fluids and Structures, 19, pp. 389-447Weaver Jr., W., Timoshenko, S.P., Young, D.H., (1990) Vibration Problems in Engineering, , 5th Ed., J. WilleyJauvits, N., Williamson, C.H.K., The Effect of Two Degrees of Freedom on Vortex-Induced Vibration at Low Mass and Damping (2004) J. Fluid Mech, 509, pp. 23-62Vandiver, J.K., Jong, J.Y., The Relationship between In-Line and Cross-Flow Vortex-Induced Vibration of Cylinders (1987) Journal of Fluids and Structures, 1, pp. 381-389Venugopal, M., (1996) Damping and Response of a Flexible Cylinder in a Current, , Ph. D. Thesis, Dept of Ocean Eng., Massachusetts Institute of TechnologyLarsen, C.M., Vikestad, K., Yttervik, R., Passano, E., Baarholm, G.S., (2005) Vivana Theory Manual, , Norwegian Marine Technology Research InstituteVandiver, J.K., Li, L., (2005) Shear 7 V4.4 Program Theoretical Manual, , Massachusetts Institute of TechnologyVikestad, K., Larsen, C.M., Vandiver, J.K., Norwegian Deepwater Program: Damping of Vortex-Induced Vibrations (2000) Offshore Technology Conference 2000, OTC 11998Morison, J.R., O'Brien, M.P., Johnson, J.W., Schaaf, S.A., (1950) The Force Exerted by Surface Waves on Piles, Petroleum Transactions, 189, pp. 149-154. , AIMEIwan, W.D., Blevins, R.D., A Model for Vortex Induced Oscillation of Structures (1974) Journal of Applied Mechanics, pp. 581-58