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RESEARCH PAPERS: Reliability, Stress Analysis, and Failure Prevention

Rotating Disk Shape: Is the Equation Nonlinear?

[+] Author and Article Information
R. R. Jettappa

Gas Turbine Research Establishment, MBSI Division, Bangalore 560 075, India

J. Vib., Acoust., Stress, and Reliab 111(4), 456-458 (Oct 01, 1989) (3 pages) doi:10.1115/1.3269882 History: Received June 19, 1987; Online November 23, 2009

Abstract

The determination of the shape of a rotating disk under centrifugal loading is considered. It is shown that the governing differential equation for the shape of a rotating thin disk is reducible to a linear equation of second order with variable coefficients. However, the form of this equation is such that it can be treated as an equation of first order thereby facilitating the integration by quadratures. All this is possible without any additional mathematical assumptions so that the results are exact within the limitations of the thin disk theory.

Copyright © 1989 by ASME
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