Abstract
An analytical investigation is presented on leakage-flow-induced vibrations of an axisymmetric body. In the case of a narrow annular passage between a tapered outer cylinder and a tapered axisymmetric body, the fluid-dynamic forces exerted on the body were calculated by Galerkin's method. From the calculated results, the following conclusions were obtained. The dynamic instability of the systems is due to phaselag of the fluid-dynamic force for the harmonic vibration of the body. The fluid-dynamic damping is obtained in two parts: one is independent of the frequency and the other is a function of the frequency, and the negative damping is caused by the fluid-dynamic damping which is a function of the frequency. When the frequency is very large, the fluid-dynamic mass agrees with the added mass within the rest fluid.
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More From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
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