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Research Papers

Simulations and Experiments of a Nonlinear Aircraft Braking System With Physical Dispersion

[+] Author and Article Information
Fabrice Chevillot

Laboratoire de Tribologie et Dynamique des Systèmes, Equipe D2S, UMR-CNRS 5513, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully, France; Messier-Bugatti-Safran Group, Aircraft Braking Division, Zone Aéronautique Louis Bréguet, BP 40, 78140 Vélizy-Villacoublay, France

Jean-Jacques Sinou1

Laboratoire de Tribologie et Dynamique des Systèmes, Equipe D2S, UMR-CNRS 5513, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully, Francejean-jacques.sinou@ec-lyon.fr

Nicolas Hardouin

Messier-Bugatti-Safran Group, Aircraft Braking Division, Zone Aéronautique Louis Bréguet, BP 40, 78140 Vélizy-Villacoublay, France

Louis Jezequel

Laboratoire de Tribologie et Dynamique des Systèmes, Equipe D2S, UMR-CNRS 5513, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully, France

See http://paos.colorado.edu/research/wavelets/.

1

Corresponding author.

J. Vib. Acoust 132(4), 041010 (Jun 01, 2010) (11 pages) doi:10.1115/1.4000982 History: Received July 21, 2009; Revised December 10, 2009; Published June 01, 2010; Online June 01, 2010

This paper deals with the simulation of nonlinear vibration induced by friction in an aircraft braking system. Experimental tests reveal that in similar experimental conditions the mechanism can generate vibrations of various amplitudes. The aim of this study is to simulate the behavior of the brake by taking into account the dispersion of parameters, which produce the variability of the response. A nonlinear model of the brake is presented. The time-history response is obtained by integration of the full set of nonlinear dynamic equations. Based on experimental results, the dispersions of the coefficient of friction and of the damping configuration are introduced. Monte Carlo simulations are performed and show a very good agreement with the experimental results.

Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematic model of the brake system

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Figure 2

Working principle

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Figure 15

Series of tests: (a) maximum acceleration and (b) pie chart for the whirl

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Figure 16

Friction law: (a) series of test and (b) Monte Carlo simulation

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Figure 17

Monte Carlo simulation: (a) maximum acceleration and (b) pie chart for the whirl

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Figure 3

View of a dynamic test

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Figure 4

Accelerometers’ locations

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Figure 5

Experimental deformations: (a) squeal and (b) whirl

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Figure 6

70 degree-of-freedom model

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Figure 7

Stability of the brake versus friction coefficient in the complex plane

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Figure 8

Analytical deformations: (a) squeal and (b) whirl

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Figure 9

Experimental record: (a) time plot of the pressure and (b) time plot of the torque

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Figure 10

Experimental record: (a) CWT of the pressure and (b) CWT of the torque

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Figure 11

Simulation: (a) pressure law and (b) friction law

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Figure 12

Deterministic simulation: time plot of the torque

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Figure 13

Deterministic simulation: CWT of the torque

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Figure 14

Deterministic simulation: schematic comparison of the CWT’s transient behaviors

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