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The Low Reduced Frequency Limit of Vibrating Airfoils: Part IIIA — Theoretical Quantification and Influence of Unsteady Loading

[+] Author Affiliations
Roque Corral

Industria de TurboPropulsores S.A., Madrid, Spain

Almudena Vega

Universidad Politécnica de Madrid, Madrid, Spain

Paper No. GT2016-57213, pp. V07BT34A014; 11 pages
doi:10.1115/GT2016-57213
From:
  • ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition
  • Volume 7B: Structures and Dynamics
  • Seoul, South Korea, June 13–17, 2016
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-4984-2
  • Copyright © 2016 by ASME

abstract

This paper studies the unsteady aerodynamics of vibrating airfoils in the low reduced frequency regime with special emphasis on its impact on the work per cycle curves. In Part I of the corresponding paper, a perturbation analysis of the linearized Navier-Stokes equations for real modes at low reduced frequency was presented and some conclusions were drawn. It was discovered that a new parameter, the unsteady loading, plays an essential role in the trends of the phase and modulus of the unsteady pressure caused by the oscillation of the airfoil. In this third (a) part, the theory is extended in order to quantify the new parameter. It is shown that this parameter depends solely on the steady flowfield on the airfoil surface and the vibration mode-shape. As a consequence, the effect of changing the design operating conditions or the vibration mode onto the work-per-cycle curves (and therefore in the stability) can be easily predicted and, what is more important, quantified without conducting additional flutter analysis. The relevance of the parameter has been numerically confirmed in the Part IIIb of the paper.

Copyright © 2016 by ASME
Topics: Airfoils

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