Summary
This paper presents a discrete vortex-shedding method for predicting the damping forces experienced by a floating marine vehicle responding at and around roll resonance. The method utilizes a Schwartz-Christoffel transformation, the temporal flow development being calculated to yield vortex positions, pressures and overall forces on the vessel hull. The effect of the velocity term in Bernoulli's equation on hull forces is calculated by integrating pressure and confirmed using the Blasius formula. A functional form of the vortex-induced moment amplitude is deduced from the theory and applied to a frequency-domain equation of roll motion for the vessel. Comparison of theory with test data indicates that the vortex-shedding theory does predict the effects of this phenomenon on the roll motions of a specific hull shape. An extensive review of previous work in this area is also presented.
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Brown, D.T., Patel, M.H. A theory for vortex shedding from the keels of marine vehicles. J Eng Math 19, 265–295 (1985). https://doi.org/10.1007/BF00042874
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DOI: https://doi.org/10.1007/BF00042874