533 回転軸の傾いた回転円環の振動特性解析

概要

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The vibrational characteristics of a rotating ring with the inclined rotation axis are examined. The fundamental equations are derived depending on the Hamilton's principle, and the finite strain is used to take into consideration product terms of steady-state displacements due to rotation and vibratinoal displacements, in addition to the centrifugal and Corioris forces. The both displacements are expressed by the Fourier series with respect to the circumferential coordinate, and by using orthogonality relations of trigonometric functions, the vibration equations are obtained. The circumferential wave number n are taken from 0 to 2 after confirming the convergence of solution up to n=2. The characteristic roots of those equations are calculated for the inclined angles 0°, 45°, and 90°. For the case of the inclined angle 0°, all the vibrational modes are stable, whereas several modes which are rigid-body modes in the case of no-rotation become unstable for the case of inclined angle 45°.
一般社団法人日本機械学会の論文
2000-09-01