The static equilibrium position and its associated dynamic stability of a cylinder situated in the wake of an upstream cylinder is investigated in this paper. Both the upstream and downstream cylinders are elastically mounted on springs to allow for streamwise and transverse displacements. Due to the wake effect the downstream cylinder is subject to a lift force as well as a drag. It is shown that under certain flow conditions there exist multiple stable and unstable equilibria for the downstream cylinder. There also exist a critical flow velocity and once this velocity is exceeded no equilibrium positions of the downstream cylinder can be found, which suggests a likely occurrence of clashing between the two cylinders.
Multiple Stable/Unstable Equilibria of a Cylinder in the Wake of an Upstream Cylinder
Contributed by the OOAE Division for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received July 2001; final revision, April 2002. Associate Editor: S. Yim.
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Wu , W., Huang, S., and Barltrop , N. (April 16, 2003). "Multiple Stable/Unstable Equilibria of a Cylinder in the Wake of an Upstream Cylinder ." ASME. J. Offshore Mech. Arct. Eng. May 2003; 125(2): 103–107. https://doi.org/10.1115/1.1555111
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