On the transient dynamics of a multi-degree-of-freedom friction oscillator: a new mechanism for disc brake noise

Kinkaid, Nathan; O’Reilly, Oliver M.; Papadopoulos, Panayiotis

doi:10.1016/j.jsv.2004.12.005

Cited by 35 publications

(17 citation statements)

References 14 publications

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“…(16): (16) in which R kl (r ) is a combination of the Bessel functions and the modified Bessel functions. Subscript k denotes the number of nodal circles, and l denotes the number of nodal diameters; i = √ −1.…”

Section: Transverse Vibration Of the Discmentioning

confidence: 99%

“…The results indicated that stick-slip motion took place in a wide speed range of the moving belt. Kinkaid et al [16] examined the dynamics behaviour of a four-degreeof-freedom model with friction force in two orthogonal directions at the contact interface. Since the friction in [16] followed the Amontons-Coulomb's law of friction, a new mechanism due to the combination of the stick-slip instability in both directions was presented.…”

Section: Introductionmentioning

confidence: 99%

“…Kinkaid et al [16] examined the dynamics behaviour of a four-degreeof-freedom model with friction force in two orthogonal directions at the contact interface. Since the friction in [16] followed the Amontons-Coulomb's law of friction, a new mechanism due to the combination of the stick-slip instability in both directions was presented. Stelter [17] investigated the nonlinear stick-slip behaviour of a cantilever beam excited by dry friction via numerical analyses and experiments.…”

Section: Introductionmentioning

confidence: 99%

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Friction-induced vibration of an elastic disc and a moving slider with separation and reattachment

Ouyang

Guan

2016

Nonlinear Dyn

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The transverse vibration of an elastic disc, excited by a preloaded mass-damper-spring slider dragged around on the disc surface at a constant rotating speed and undergoing in-plane stick-slip oscillation due to friction, is studied. As the vertical vibration of the slider grows at certain conditions, it can separate from the disc and then reattach to the disc. Numerical simulation results show that separation and reattachment between the slider and the disc could occur in a low speed range well below the critical disc speed in the context of a rotating load. Rich nonlinear dynamic behaviour is discovered. Time-frequency analysis reveals the time-varying properties of this system and the contributions of separation and in-plane stick-slip vibration to the system frequencies. One major finding is that ignoring separation, as is usually done, often leads to very different dynamic behaviour and possibly misleading results.

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Section: Transverse Vibration Of the Discmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Friction-induced vibration of an elastic disc and a moving slider with separation and reattachment

Ouyang

Guan

2016

Nonlinear Dyn

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“…A significant proportion of the friction-induced vibration literature focuses on highly simplified models with very few degrees of freedom (e.g., Hoffmann et al, 2002;Kinkaid et al, 2005;von Wagner et al, 2007;Emira, 2007). Their simplicity enables clearer analysis than more realistic models and provides some intuition as to the mechanisms that can lead to squeal.…”

Section: Low-order Models Sensitivity and Convergencementioning

confidence: 99%

Sensitivity studies of friction-induced vibration

Butlin

Woodhouse

2009

IJVD

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Friction-induced vibration is notoriously twitchy. This paper examines the origin of the sensitivity, using a model with two linear systems coupled at a single-point sliding contact where a general linearised model for dynamic frictional force is allowed. Sensitivity and convergence studies show that system uncertainty is significant enough to affect the stability of predictions and that modes neglected from the model can sensitively affect predictions. Some key results from a large-scale experimental study are presented. The integration of the uncertainty and sensitivity analysis with data-processing techniques to extract reliable data allows critical evaluation of the modelling details.

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“…Vibration models with more than two DOFs have consequently been developed for the brake squeal investigation. For example, Kinkaid designed a 4-DOF brake model that captured some of the dynamics of a set of brake pads used to stop a rotor [19]. Ahmed built a 10-DOF mathematical prediction model to investigate the effects of different brake component parameters on a ventilated disc brake squeal [20].…”

Section: Introductionmentioning

confidence: 99%

Disc Brake Vibration Model Based on Stribeck Effect and Its Characteristics under Different Braking Conditions

Shu-gen

Liu

2017

Mathematical Problems in Engineering

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A 7-degree-of-freedom (DOF) vibration model of a fixed-caliper disc brake system was developed herein based on the Stribeck effect. Furthermore, a dynamometer brake test was conducted to determine the characteristic system parameters of the 7-DOF vibration model. This model was developed to study the effects of braking conditions, such as disc rotational speed and brake pressure on brake noise. The complex eigenvalues of the system were also calculated to analyze the brake model stability under different braking conditions. The acceleration time history diagrams and phase plots were obtained by solving the equations of the system. The numerical calculation results showed that the brake noise increased with an increasing braking force and a decreasing breaking speed. These numerical findings were verified by the results of the dynamometer tests.

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On the transient dynamics of a multi-degree-of-freedom friction oscillator: a new mechanism for disc brake noise

Cited by 35 publications

References 14 publications

Friction-induced vibration of an elastic disc and a moving slider with separation and reattachment

Friction-induced vibration of an elastic disc and a moving slider with separation and reattachment

Sensitivity studies of friction-induced vibration

Disc Brake Vibration Model Based on Stribeck Effect and Its Characteristics under Different Braking Conditions

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