Nonlinear Model for Aircraft Brake Squeal Analysis: Model Description and Solution Methodology

Liu, Steven Y.; Gordon, Jason; Özbek, Markus

doi:10.2514/2.2346

Cited by 14 publications

(5 citation statements)

References 4 publications

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“…In this study, the brake friction m is assumed to be constant. This is due to the fact that there is only a very small variation of the brake friction coefficient during a whirl vibration event, as described by Liu et al [17]. So the variation of the brake friction coefficient can be assumed to be negligible in this case, although this is not always the case for modelling brake systems.…”

Section: Model Of Non-linear Rotor/stator Contact Systemmentioning

confidence: 99%

“…The problem of unstable vibrations in disks brakes has received the attention of a number of investigators. Whirl and squeal [17] of disk brake are typical brake vibrations modes and are potentially hazardous types of vibrations which have been observed in several generations of aircraft [17,18]. Whirl can be defined as a wobbling motion between the brake's stationary and the rotating parts.…”

Section: Model Of Non-linear Rotor/stator Contact Systemmentioning

confidence: 99%

“…where x represents the relative displacement between the rotor and the stator at the point Mðr; yÞ: K 1 ; K 2 and K 3 are the linear, quadratic and cubic coefficients of the non-linear contact between the rotor and the stator. The non-linear relationship between load and deflection has been verified by experimental tests conducted on a rotor-stator assemblies [17]. One assumes that the tangential stress T is generated by the brake friction coefficient m; considering the Coulomb friction Tðr; yÞ ¼ mNðr; yÞ: ð2Þ…”

Section: Model Of Non-linear Rotor/stator Contact Systemmentioning

confidence: 99%

See 2 more Smart Citations

Non-linear stability analysis of a complex rotor/stator contact system

Sinou

Thouverez

Jézéquel

2004

Journal of Sound and Vibration

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In this paper, a non-linear strategy, based on the centre m anifold, the rational approxim ants and the alternating frequency/time domain method has been developed, in order to study the non-linear dynamical behaviour of a system in the neighbourhood of a critical steady state equilibrium point. The stability analysis and the non-linear dynam ics of a com plex braking system with a non-linear rotor/stator contact are presented. Moreover, one of the m ost im portant steps of this paper is the determination of the nonlinear behaviour and the limit cycle amplitudes of this complex system. In order to conduct this study, the dynam ic response is evaluated by using applying the centre m anifold, the rational approximants and the alternating frequency/tim e dom ain m ethod, that perm it to obtain rapidly and efficiently the non-linear behaviour of the system. The dynam ic response obtained by applying this m ethod is com pared with that evaluated through num erical integration.

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Section: Model Of Non-linear Rotor/stator Contact Systemmentioning

confidence: 99%

Section: Model Of Non-linear Rotor/stator Contact Systemmentioning

confidence: 99%

Section: Model Of Non-linear Rotor/stator Contact Systemmentioning

confidence: 99%

See 1 more Smart Citation

Non-linear stability analysis of a complex rotor/stator contact system

Sinou

Thouverez

Jézéquel

2004

Journal of Sound and Vibration

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“…Nowadays, it is common to classify the mechanisms generating FIV from tribological and structural viewpoints [24,25,40]. If the tribological mechanism relates the generation of vibrations to the continuous or discontinuous variation of the friction coefficient against the relative sliding speed [24,25,55], the structural mechanism rather indicates the geometrical aspects inducing the coupling of the normal degrees of freedom with the tangential degrees of freedom of contact as being at the origin of the vibrations [49,24,25,52]. The coupling in question is characterized by the so-called 'modes coalescence' which consists of the bringing together of two natural frequencies (imaginary parts of some couple of the system eigenvalues) according to the friction coefficient up to the coalescence point where the frequencies become equal while the corresponding real parts separate.…”

Section: Introductionmentioning

confidence: 99%

Cascade architecture for nonlinear control of transient and stationary regimes of friction-induced vibrations

Nechak

Morin

2022

Nonlinear Dyn

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This paper presents a new control approach for mitigating Friction-Induced Vibration (FIV) issued from the mode-coupling mechanism. The key idea is to put the friction system onto a cascade of independent subsystems by using a first stage control. Then, a second stage control is defined and proven to be much more efficient for controlling both the transient and stationary regimes of the FIV. Asymptotic stabilization is formally demonstrated for the whole control scheme. Moreover, by numerical simulations, it is shown that the performances of the closed loop systems present an interesting robustness with respect to parameter uncertainty and to the saturation phenomenon which opens up promising practical perspectives for the proposed control technique.

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“…First type of brake noise possesses a frequency range from 100 Hz to 1 kHz, which is relatively low. This type of brake noise comes from the stickslip motion between friction surfaces [4]. Applying other materials whose coefficient of friction is stable about slip speed could ease this type of brake noise effectively.…”

Section: Introductionmentioning

confidence: 99%

Analysis on Aircraft Brake Squeal Problem Based on Finite Element Method

Zhang

Nie

2017

International Journal of Aerospace Engineering

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Brake squeal phenomenon is a problem that has been long studied using multiple methods and theories. Finite Element Method (FEM) has been applied to the study of brake squeal problem. First, a disc brake model has been established. Complex mode theory has been applied to the mode analysis and unstable vibration modes can be extracted subsequently. The form of unstable vibration mode has been studied. Then, transient dynamic simulation using explicit dynamic method has been performed. Response in both time and frequency domain has been analyzed. Two methods have been compared, considering accuracy and calculation consumption. Then, the effect of different parameters such as coefficient of friction, stiffness, and brake force fluctuation frequency on squeal phenomenon has been analyzed. It can be found that coefficient of friction and the brake stiffness have a positive correlation with the extent of brake squeal phenomenon, while the frequency of brake force fluctuation should remain as low as possible. Afterwards, a ring-shaped layer of viscoelastic damping material is constrained to outer margin of the stator to restrain the unstable modal. This method can change the vibration nature and improve the brake squeal problem.

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Nonlinear Model for Aircraft Brake Squeal Analysis: Model Description and Solution Methodology

Cited by 14 publications

References 4 publications

Non-linear stability analysis of a complex rotor/stator contact system

Non-linear stability analysis of a complex rotor/stator contact system

Cascade architecture for nonlinear control of transient and stationary regimes of friction-induced vibrations

Analysis on Aircraft Brake Squeal Problem Based on Finite Element Method

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