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• W1971393367 abstract "The case of simultaneous in-plane and out-of-plane lateral vibrations of small amplitude of a horizontally rotating fluid-tube cantilever conveying fluid is investigated. The rotation is with respect to a vertical axis at the fixed end at a constant angular velocity. The diameter of the tube is constant along its length and much smaller than the length. There is no nozzle attached at the free end. The fluid-tube cantilever is inextensible. Two inter-dependent equations of motion in the two directions of lateral displacement of the system are derived by means of Newton's second law on a fluid-tube element. The same system of equations is derived by means of Hamilton's principle. An approximate solution is sought in the case of linear vibrations in the form of a series of normalized eigenfunctions from the linear cantilever beam theory using Galerkin's method. The critical nondimensional circular frequency of lateral vibration and critical nondimensional speed of flow of the fluid-tube cantilever system are investigated for the in-plane and the out-of-plane case. Comparisons between the in-plane and out-of-plane case, between the rotating and the nonrotating case, as well as between the rotating with internal flow and the rotating case without flow are discussed." @default.
• W1971393367 created "2016-06-24" @default.
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• W1971393367 date "2000-01-01" @default.
• W1971393367 modified "2023-09-25" @default.
• W1971393367 title "LINEAR IN-PLANE AND OUT-OF-PLANE LATERAL VIBRATIONS OF A HORIZONTALLY ROTATING FLUID-TUBE CANTILEVER" @default.
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• W1971393367 doi "https://doi.org/10.1006/jfls.1999.0224" @default.
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