Asymptotic Description of Flutter Amplitude Saturation by Nonlinear Friction Forces

Martel Escobar, Carlos and Corral Garcia, Roque (2012). Asymptotic Description of Flutter Amplitude Saturation by Nonlinear Friction Forces. In: "13th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines", 11/09/2012 - 14/09/2012, Tokio, Japón. p. 94.

Description

Title: Asymptotic Description of Flutter Amplitude Saturation by Nonlinear Friction Forces
Author/s:
  • Martel Escobar, Carlos
  • Corral Garcia, Roque
Item Type: Presentation at Congress or Conference (Article)
Event Title: 13th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines
Event Dates: 11/09/2012 - 14/09/2012
Event Location: Tokio, Japón
Title of Book: 13th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines
Date: 11 September 2012
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The computation of the non-linear vibration dynamics of an aerodynamically unstable bladed-disk is a formidable numerical task, even for the simplified case of aerodynamic forces assumed to be linear. The nonlinear friction forces effectively couple dif- ferent travelling waves modes and, in order to properly elucidate the dynamics of the system, large time simulations are typically required to reach a final, saturated state. Despite of all the above complications, the output of the system (in the friction microslip regime) is basically a superposition of the linear aeroelastic un- stable travelling waves, which exhibit a slow time modulation that is much longer than the elastic oscillation period. This slow time modulation is due to both, the small aerodynamic effects and the small nonlinear friction forces, and it is crucial to deter- mine the final amplitude of the flutter vibration. In this presenta- tion we apply asymptotic techniques to obtain a new simplified model that captures the slow time dynamics of the amplitudes of the travelling waves. The resulting asymptotic model is very re- duced and extremely cheap to simulate, and it has the advantage that it gives precise information about the characteristics of the nonlinear friction models that actually play a role in the satura- tion of the vibration amplitude.

More information

Item ID: 20296
DC Identifier: http://oa.upm.es/20296/
OAI Identifier: oai:oa.upm.es:20296
Official URL: http://www.isuaaat.org/
Deposited by: Memoria Investigacion
Deposited on: 05 May 2014 15:42
Last Modified: 21 Apr 2016 23:02
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