Abstract
Obstacles in flow produce wakes that can cause significant vibration of devices located within the wakes. Such vibration appears in many situations, from landing an aircraft on a ship deck to operations of rotating machinery. There are two principal singularities of these wakes that define incoming flow for the downstream devices. First, the time-average velocity profiles are highly nonuniform. Second, flow separation from obstacles is accompanied by generation of large vortices. An initial mathematical study of this flow-induced vibration of the devices includes quasipotential approach in determination of time-averaged flow parameters and determination of amplitude response of elastic airfoils (device cross sections) on perturbation. Perturbation frequencies depend on the obstacle drag, size and free-stream speed. Vortex sizes depend also on Reynolds number. Numerical modeling shows a certain difference between the foil response on gust flow and its response on excitations caused by the obstacle wakes.
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