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Numerical investigation of material properties and operating parameters effects in generating motorcycle break squeal using the finite element method

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Abstract

One of the factors of influence on driver comfort is undoubtedly the noise. The noise generated by the brake, in addition to causing discomfort, can cause uncertainty as to the existence of mechanical failure in the brake system. Among the types of noise related to disc brakes, what has been generating a greater interest of researchers is squeal noise. This research paper is concerned with the disc brake squeal problem for motorcycles. The aim of the present research is developing a finite element model of the motorcycle disc brake in order to improve the understanding of the influence of material and operational parameters on squeal generation. Stability analysis of the disc brake assembly was accomplished to find unstable frequencies. A parametric study was carried out to investigate the effect of changing Young’s modulus of the disc, back plate, friction material and operational parameters, as rotational velocity of the disc, pressure and temperature, on squeal generation. The results of simulation indicated that material and operational parameters play a substantial role in generating the squeal noise.

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Abbreviations

F y :

Normal forces (N)

F x :

Friction forces (N)

\(\mu\) :

Coefficient of friction

k c :

Stiffness of the contact elements (N/m)

E :

Elasticity module (GPa)

y :

Vertical displacement (m)

x :

Horizontal displacement (m)

\(\ddot{x}\) :

Horizontal acceleration (m/s2)

\(\dot{x}\) :

Horizontal speed (m/s)

u :

Generic displacement

y i :

Modal coordinate

λ i :

Complex eigenvalues

σ i :

Real part of eigenvalue

ω i :

Imaginary part of eigenvalue

j :

Imaginary part \(\left( {\sqrt { - 1} } \right)\)

[Kf]:

Stiffness matrices of the contact interface elements

[k]:

Stiffness matrices

[C]:

Damping matrices

{u}:

Coordinate transformation

{ϕi}:

Eigenvector normalized

[Λ2]:

Diagonal matrix containing the natural frequencies of the system

[I]:

Moment of inertia matrices

[ψ]:

Complex eigenvalues and eigenvectors

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Authors and Affiliations

  1. Laboratório de Vibrações – LabVib, Departamento de Engenharia Mecânica, Centro de Tecnologia, Universidade Federal do Ceará, Fortaleza, CE, Brazil

    Matheus Henrique Pires Miranda, Rômulo do Nascimento Rodrigues, Roberto de Araújo Bezerra & Pierre Maurice Christophe Lamary

  2. LMEst - Structural Mechanics Laboratory, School of Mechanical Engineering, Federal University of Uberlândia, Av. João Naves de Ávila, 2121, Uberlândia, MG, 38408-196, Brazil

    Raimundo Arrais de Oliveira Neto

Authors
  1. Matheus Henrique Pires Miranda
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  2. Rômulo do Nascimento Rodrigues
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  4. Pierre Maurice Christophe Lamary
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Correspondence to Rômulo do Nascimento Rodrigues.

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Technical Editor: José Roberto de França Arruda.

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Miranda, M.H.P., do Nascimento Rodrigues, R., de Araújo Bezerra, R. et al. Numerical investigation of material properties and operating parameters effects in generating motorcycle break squeal using the finite element method. J Braz. Soc. Mech. Sci. Eng. 42, 239 (2020). https://doi.org/10.1007/s40430-020-02324-3

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