Lining-Deformation-Induced Modal Coupling as Squeal Generator in a Distributed Parameter Disc Brake Model

Flint, John; Hultén, Johan

doi:10.1006/jsvi.2001.4052

Cited by 58 publications

(34 citation statements)

References 26 publications

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“…The geometrical values and material properties used are those of the large diameter experimental ring described in Section 3. It can be seen in Figure 2 that both the wave-based approach of Flint and Hultén [9,10] and the modal summation approach predict identical results.…”

Section: Modal-based Approachsupporting

confidence: 59%

“…However, curvature effects are not included in the cyclosymmetric beam model. Flint and Hultén [9] record a significant difference between the measured resonant frequency and predicted natural frequency for the n = 2 mode, whilst other diametral modes have relatively good agreement. Thompson [25] has applied a cyclosymmetric beam model to railway wheel bending vibration and compared the predicted natural frequencies to a finite element model of the structure.…”

Section: Small Diameter Annular Plate Versus Cyclosymmetricmentioning

confidence: 99%

“…The derivation below follows the approach of Flint and Hultén [9,10] who modelled the disc as an Euler-Bernoulli beam with and without an elastic foundation. However, unlike [9,10], in this paper the boundary conditions at the ends of the beam are solved explicitly to obtain the amplitudes of the constituent waves in the vibration. Further details of this approach are given in [17,18].…”

Section: Wave-based Approachmentioning

confidence: 99%

“…The first model presented in this paper approximates the brake disc as a simple beam structure with cyclosymmetric boundary conditions. This model follows the approach presented by Flint and Hultén [9,10]. The aim of this investigation is to assess whether any further guidance can be provided on the appropriate frequency range of applicability of the cyclosymmetric beam model.…”

Section: Introductionmentioning

confidence: 99%

“…To complement the use of finite element models various lumped parameter or continuous system analytical models have been developed. For example, in modelling the brake disc, Flint and Hultén [9,10] have used a onedimensional beam-bending model whilst Ouyang and his colleagues [11][12][13] have applied a flat plate bending model. Previous research has noted that the in-plane vibrations of a disc can also contribute to brake squeal generation [1].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A Cyclosymmetric Beam Model and a Spring-Supported Annular Plate Model for Automotive Disc Brake Vibration

Boennen

Walsh

2012

ISRN Mechanical Engineering

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This paper discusses two simplified analytical models for automotive disc brake vibration which can be used to complement more complex finite element methods. The first model approximates the brake disc as a simple beam structure with cyclosymmetric boundary conditions. Since the beam model is a one-dimensional approach, modelling of the inner boundary condition of the brake disc, at the interface of the brake rotor and the central hat, is not possible. The second model, which is established based upon Kirchhoff 's thin plate theory, is presented in this paper in order to incorporate the vibrational deformation at the hat-disc interface. The mode shapes, natural frequencies, and forced response of a static disc are calculated using different inner boundary conditions. Among others, the spring-supported boundary condition is proposed and applied in this paper to make appropriate predictions. The predicted results are compared with measurements of the vibration characteristics of a solid brake disc mounted upon a static test rig. These comparisons demonstrate that the most appropriate model for the inner boundary condition of the measured brake disc is the proposed spring-supported inner boundary condition.

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Section: Modal-based Approachsupporting

confidence: 59%

Section: Small Diameter Annular Plate Versus Cyclosymmetricmentioning

confidence: 99%

Section: Wave-based Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Cyclosymmetric Beam Model and a Spring-Supported Annular Plate Model for Automotive Disc Brake Vibration

Boennen

Walsh

2012

ISRN Mechanical Engineering

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Linear eigenvalue analysis of the disc‐brake squeal problem

Cao

Ouyang

Friswell

et al. 2004

Numerical Meth Engineering

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SUMMARYThis paper presents a numerical method to calculate the unstable frequencies of a car disc brake and suggests a suitable analysis procedure. The stationary components of the disc brake are modelled using finite elements and the disc as a thin plate. The separate treatments of the stationary components and the rotating disc facilitate the modelling of the disc brake squeal as a moving load problem. Some uncertain system parameters of the stationary components and the disc are tuned to fit experimental results. A linear, complex-valued, asymmetric eigenvalue formulation is derived for the friction-induced vibration of the disc brake. Predicted unstable frequencies are compared with experimentally established squeal frequencies of a real car disc brake.

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Frictional Behaviours and Mechanisms

Kim

2022

Engineering Metrology for Pedestrian Falls Prevention and Protection

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Lining-Deformation-Induced Modal Coupling as Squeal Generator in a Distributed Parameter Disc Brake Model

Cited by 58 publications

References 26 publications

A Cyclosymmetric Beam Model and a Spring-Supported Annular Plate Model for Automotive Disc Brake Vibration

A Cyclosymmetric Beam Model and a Spring-Supported Annular Plate Model for Automotive Disc Brake Vibration

Linear eigenvalue analysis of the disc‐brake squeal problem

Frictional Behaviours and Mechanisms

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