Abstract
When a cylinder is exposed to cross-flow, oscillating transverse forces act on the cylinder in addition to the nearly steady drag forces. If the cylinder is elastic or elastically supported, the oscillating transverse or lift forces will cause flow induced vibrations of the cylinder. These vibrations, in turn, will cause significant changes in the drag forces as well as in the lift forces itself which initially caused the flow induced vibrations. This article develops a theory with which the drag and lift forces acting on vibrating cylinders can be predicted. The theory is based upon a simplified, hypothetical, two-dimensional wake model. The stipulated assumptions restrict the validity of the theory to small amplitude vibrations in the frequency range at which “lock-in” occurs, i.e. at which the vibration prescribes the vortex shedding frequency.
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