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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/1654

Title: Free vibration of elastically supported thin cylinders including gyroscopic effects
Authors: Loveday, PW
Rogers, CA
Keywords: Vibration of elastically supported cylinders
Flugge shell theory
Vibratory gyroscopics
Motion equations
Boundary conditions equations
Mechanic engineering
Sciences
Issue Date: 29-Oct-1998
Publisher: Academic Press Ltd
Citation: Loveday, PW and Rogers, CA. 1998. Free vibration of elastically supported thin cylinders including gyroscopic effects. Journal of Sound and Vibration, vol 217(3), pp 547-562
Abstract: The free vibration of thin cylinders with elastic boundary conditions was analysed by application of the exact solution of the Flugge shell theory equations of motion. The elastic boundaries were represented by distributed linear springs. By varying the eight spring constants any elastic or ideal boundary conditions can be simulated. The effect of flexibility in the boundary conditions for a cylinder supported at both ends and a cylinder supported at one end was determined for the lowest frequency vibration mode with two circumferential wavelengths as this mode is used in vibratory gyroscopes. It was found that the tangential stiffness has the greatest effect on the natural frequency of the cylinder supported at both ends while the axial boundary stiffness has the greatest influence on the natural frequency of the cylinder supported at one end. The effect of low rotation rates was also determined for these boundary conditions. It was found that the tangential stiffness of the boundaries has the largest effect on the sensitivity to rotation. The lowest frequency vibration mode with four circumferential wavelengths did not show the same trends A range of boundary stiffness for which analysis as an elastic boundary is essential was determine. Boundary stiffness out of this range may be regarded as zero (free) or infinite (rigid).
URI: http://hdl.handle.net/10204/1654
http://hdl.handle.net/10204/1654
ISSN: 0022-460X
Appears in Collections:Manufacturing science and technology
General science, engineering & technology

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