Computer Analysis of Flexural Vibrations of a Rotating Disk With an Arbitrary Profile PUBLIC ACCESS

[+] Author Affiliations
J. J. Blech

Ford Motor Company, Dearborn, MI

Paper No. 65-WA/GTP-8, pp. V001T01A002; 6 pages
  • ASME 1965 Winter Annual Meeting: GT Papers
  • ASME 1965 Winter Annual Meeting: GT Papers
  • Chicago, Illinois, USA, November 7–11, 1965
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-8008-1
  • Copyright © 1965 by ASME


A collocation method is applied to the differential equation and boundary conditions which govern the flexural vibrations of a rotating thin solid disk with an arbitrary profile, clamped at the inner radius and having a flexible ring carrying masses (turbine blades) at the outer radius. The determinantal equation, from which approximations to the reasonance frequencies and mode shapes are extracted, is derived. The results of sample calculations are compared with theoretical and test results. The treatment of other types of boundary conditions is straightforward. A brief discussion of the convergence of this method is given.

Copyright © 1965 by ASME
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