The dimensional analysis of a simple model that represents the vibration of aerodynamically unstable rotor blades is presented. Based on this analysis a methodology to determine the rotor blade vibration amplitude is outlined. The method assumes that the forcing is due solely to the self-excitation of the airfoil and that the vibration amplitude is small enough to represent the unsteady aerodynamics associated to the airfoil motion using the linearized Navier-Stokes equations. The vibration amplitude is saturated due to the non-linearity of fir-tree dry friction which is modelled using a simplified approach. To compensate for the limitations of the friction model several hypotheses need to be done, among them, the geometric similarity of the different configurations and that the aspect ratio of the rotor blades is high. The application of the method to a low-pressure-turbine bladed-disk is discussed in detail. A comparison of the present method against experimental data is presented.
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ASME Turbo Expo 2006: Power for Land, Sea, and Air
May 8–11, 2006
Barcelona, Spain
Conference Sponsors:
- International Gas Turbine Institute
ISBN:
0-7918-4240-1
PROCEEDINGS PAPER
A Methodology for the Vibration Amplitude Prediction of Self-Excited Rotors Based on Dimensional Analysis
Roque Corral,
Roque Corral
Industria de TurboPropulsores S.A., Madrid, Spain
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Juan Manuel Gallardo
Juan Manuel Gallardo
Industria de TurboPropulsores S.A., Madrid, Spain
Search for other works by this author on:
Roque Corral
Industria de TurboPropulsores S.A., Madrid, Spain
Juan Manuel Gallardo
Industria de TurboPropulsores S.A., Madrid, Spain
Paper No:
GT2006-90668, pp. 1101-1113; 13 pages
Published Online:
September 19, 2008
Citation
Corral, R, & Gallardo, JM. "A Methodology for the Vibration Amplitude Prediction of Self-Excited Rotors Based on Dimensional Analysis." Proceedings of the ASME Turbo Expo 2006: Power for Land, Sea, and Air. Volume 5: Marine; Microturbines and Small Turbomachinery; Oil and Gas Applications; Structures and Dynamics, Parts A and B. Barcelona, Spain. May 8–11, 2006. pp. 1101-1113. ASME. https://doi.org/10.1115/GT2006-90668
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