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Archive of Applied Mechanics

, Volume 61, Issue 2, pp 110–118 | Cite as

Instability of the vibrations of a rotating thin disk due to an additional support

  • S. Yano
  • T. Kotera
Originals
  • 27 Downloads

Summary

Vibrations of a rotating thin disk, such as a floppy disk with a clamped inner circle, a free outer periphery and an elastic support at one point are analyzed with due consideration of the centrifugal force. A solution of the equation of motion is described in the form of a series by orthogonal eigenfunctions of a non-rotating disk with the same boundary conditions, and a characteristic equation is introduced by the existence condition of the coefficients. The relation between natural frequencies and angular velocity, and regions of instability of free vibrations are shown.

Keywords

Boundary Condition Neural Network Complex System Angular Velocity Information Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Schwingungsinstabilität rotierender dünner Scheiben mit zusätzlicher Stützung

Übersicht

Die Schwingungen von rotierenden dünnen Schieben, die am Innenrand fest eingespannt sind, aber an einer Stelle des freien Außenrandes elastisch gestützt sind, werden unter Berücksichtigung der Flickraft analysiert. Hier wird eine Lösung der Bewegungsgleichung durch eine Reihe mit den orthogonalen Eigenformen einer gleichgelagerten nicht rotierenden Scheibe beschrieben, und es wird aus der Existenzbedingung der Koeffizienten eine charakteristische Gleichung eingeführt. Die Beziehung zwischen den Eigenfrequenzen und der Drehzahl sowie die Instabilitätsbereiche der freien Schwingungen werden dargestellt.

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References

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • S. Yano
    • 1
  • T. Kotera
    • 2
  1. 1.Department of Technology Faculty of EducationKobe UniversityKobe-shiJapan
  2. 2.Department of Mechanical Engineering Faculty of EngineeringFukui UniversityFukui-shiJapan

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