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Oscillations of a body floating in an U-tube filled with a liquid

Author(s): Göran Rehbinder

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Abstract: A system analogous to a hydropower plant with a slender cylindrical body floating vertically in the surge shaft is studied. This is done in the context of a general study to see whether a throttled surge shaft can dampen oscillations. An U-tube is filled with a liquid. In one of its legs a body with big metacentric height is floating. If the system is perturbed two coupled oscillations occur. One of the natural frequencies is identical with the simple frequency of pitch oscillations of the body. The other one is proportional to the first one and also dependent on the ratio between the length of the body and the length of the water column.

DOI: https://doi.org/10.1080/00221689209498920

Year: 1992

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