J. Marn et I. Catton, ANALYSIS OF FLOW-INDUCED VIBRATION USING THE VORTICITY TRANSPORT-EQUATION, Journal of fluids engineering, 115(3), 1993, pp. 485-492
Crossflow induced vibrations are the subject of this work. The analysi
s is two dimensional. The governing equations for fluid motion are sol
ved using linearized perturbation theory and coupled with the equation
s of motion for cylinders to yield the threshold of dynamic instabilit
y for an array of cylinders. Parametric analysis is performed to deter
mine the lowest instability threshold for a rotated square array and c
orrelations are developed relating the dominant parameters. The result
s are compared with theoretical and experimental data for similar arra
ys and the discrepancies are discussed.