A nonlinear model for aircraft brake squeal analysis. I - Model description and solution methodology

Liu, Steven; Gordon, Jason; Özbek, Markus

doi:10.2514/6.1996-1251

Cited by 14 publications

(15 citation statements)

References 3 publications

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“…1b. The main addition compared with the studies presented by [6,8] is the detailed modeling of the brake rod. By considering the interconnections between each element of the braking system, the global nonlinear equations of motion take the form:…”

Section: Modeling and Equations Of Motionmentioning

confidence: 98%

“…Liu et al [6] presented the equations of motion and a model description to simulate the squeal phenomenon. The model proposed is based on a geometric coupling between lateral translation and yaw of the rotors and stators.…”

Section: Modeling and Equations Of Motionmentioning

confidence: 99%

“…It will be used for a better understanding of the role of damping on stability, and to evaluate to what extend damping can be introduced into the system to avoid any emergence of vibrations. The modeling of an aircraft braking system has been the subject of several previous papers [6][7][8]. It has been also shown that stability can be affected by the design, and the effects of system parameters such as hydraulic pressure and friction coefficient have been investigated.…”

Section: Introductionmentioning

confidence: 99%

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The destabilization paradox applied to friction-induced vibrations in an aircraft braking system

et al. 2008

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Mechanisms of friction are known as an important source of vibrations in a large variety of engineering systems, where the emergence of oscillations is noisy and can cause severe damage to the system. The reduction or elimination of these vibrations is then an industrial issue that requires the attention of engineers and researchers together. Friction-induced vibrations have been the matter of several investigations, considering experimental, analytical, and numerical approaches. An aircraft braking system is a complex engineering system prone to friction-induced vibrations, and is the subject herein. By considering experimental observations and by evaluating the mechanisms of friction involved, a complete nonlinear model is built. The nonlinear contact between the rotors and the stators is considered. The stability analysis is performed by determining the eigenvalues of the linearized system at the equilibrium point. Parametric studies are conducted in order to evaluate the effects of various system parameters on stability. Special attention will be given to the understanding the role of damping and the associated destabilization paradox in mode-coupling instabilities.

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Section: Modeling and Equations Of Motionmentioning

confidence: 98%

Section: Modeling and Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The destabilization paradox applied to friction-induced vibrations in an aircraft braking system

et al. 2008

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“…Both appear at low frequency (in the 0-1,000 Hz range) with sometimes large amplitude oscillations that liable to damage the integrity of the brake. In reality, here is no single squeal and whirl vibration, as these terms define more generic vibratory phenomena defined in [7], whose deformations differ. On the one hand, squeal is defined as torsional vibrations of nonrotating brake parts around the axle; on the other hand, whirl describes a motion of the end of the torque tube around the axle acompanied by unphased pumping of the brake pistons.…”

Section: Introductionmentioning

confidence: 99%

“…Lyu et al [7,8] and Gordon [9] were among the first to present the equations of motion and a model description to simulate the squeal phenomenon in aircraft braking systems. In their approach, instability is the result of geometric coupling between lateral translation and the yaw of the rotors and stators.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear transient vibrations and coexistences of multi-instabilities induced by friction in an aircraft braking system

Chevillot¹,

Sinou²,

Hardouin³

2009

Journal of Sound and Vibration

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Hardouin. Nonlinear transient vibrations and coexistences of multi-instabilities induced by friction in an aircraft braking system. Journal of Sound and Vibration, Elsevier, 2009, 328 (4-5) AbstractFriction-induced vibration is still a cause for concern in a wide variety of mechanical systems, because it can lead to structural damage if high vibration levels are reached. Another effect is the noise produced that can be very unpleasant for end-users, thereby making it a major problem in the field of terrestrial transport. In this work the case of an aircraft braking system is examined. An analytical model with polynomial nonlinearity in the contact between rotors and stators is considered.Stability analysis is commonly used to evaluate the capacity of a nonlinear system to generate frictioninduced vibrations. With this approach, the effects of variations in the system parameters on stability can be easily estimated. However, this technique does not give the amplitude of the vibrations produced. The integration of the full set of nonlinear dynamic equations allows computing the time-history response of the system when vibration occurs. This technique, which can be time-consuming for a model with a large number of degrees of freedom (dof), is nevertheless necessary in order to calculate the transient-state behavior of the system. The use of a Continuous Wavelet Transform (CWT) is very suitable for the detailed analysis of the transient response. In this paper, the possibilities of coexistence of several instabilities at the same time will be examined. It will be shown that the behavior of the brake can be very complex and cannot be predicted by stability analysis alone.

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Methods to reduce non-linear mechanical systems for instability computation

Sinou

Thouverez

Jézéquel

2004

ARCO

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A nonlinear model for aircraft brake squeal analysis. I - Model description and solution methodology

Cited by 14 publications

References 3 publications

The destabilization paradox applied to friction-induced vibrations in an aircraft braking system

The destabilization paradox applied to friction-induced vibrations in an aircraft braking system

Nonlinear transient vibrations and coexistences of multi-instabilities induced by friction in an aircraft braking system

Methods to reduce non-linear mechanical systems for instability computation

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