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Pseudo-Density Approach to the Solution of a Thin Rotating Turbine Engine Disk

[+] Author Affiliations
Richard Rodrigues Jettappa

Gas Turbine Research Establishment, Bangalore, India

Paper No. GT2010-23528, pp. 1087-1095; 9 pages
doi:10.1115/GT2010-23528
From:
  • ASME Turbo Expo 2010: Power for Land, Sea, and Air
  • Volume 6: Structures and Dynamics, Parts A and B
  • Glasgow, UK, June 14–18, 2010
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-4401-4 | eISBN: 978-0-7918-3872-3
  • Copyright © 2010 by GTRE, DRDO, Ministry of Defense, Government of India

abstract

This paper considers a rotating gas turbine engine disk. The governing equations lead to a non-linear, second order equation with thickness h as parameter. “Thin disk” assumption is made, implying plane stress conditions. In the present study, starting from the equations of equilibrium and compatibility, the author proposes the new approach of Pseudo Material Density. By introducing a pseudo material density, the problem is reduced to the Flat Disk Equation that can be solved easily. Introduction of pseudo density, however, throws up an additional equation — a fourth one — relating the pseudo density, actual density and the thickness parameter. The equation is solved to find the shape of the disk in terms of the actual density. This procedure allows modeling of the non-uniform profile disk as a disk with flat profile facilitating easier analysis. An unexpected, but important result that emerges from the present study pertains to the proof testing of rotating disks. It is shown that it is now possible to replace the external blade loading exactly with a radial extension of the disk itself.

Copyright © 2010 by GTRE, DRDO, Ministry of Defense, Government of India
Topics: Density , Gas turbines , Disks

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