A Study on the Reduction of Disc Brake Squeal Using Complex Eigenvalue Analysis

Park, Choonki; Han, Min Gyu; Cho, Sung Sun; Choi, Hyun-Ki; Jeong, Ji Deok; Lee, Jang Moo

doi:10.4271/2001-01-3141

Cited by 13 publications

(7 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is found that the largest eigenvalue is most positive when the effective system damping 𝑐 in the modal equation ( 11) is most negative. This occurs under stiffness mode coupling conditions in typical brake squeal conditions because the modal damping factor is less than critical, causing the complex stiffness to have a larger instability effect than the modal damping (13). Therefore, a simple, conservative analytical solution for the critical friction coefficient at which brake squeal chaos may occur may be obtained, based on the occurrence of stiffness mode coupling, as:…”

Section: Prediction Of Brake Squeal Chaosmentioning

confidence: 99%

“…This conservative condition may be simplified by solving for the critical system modal damping using (20) 21) represents a less conservative criterion for brake squeal chaos than (18) and (19), ie in addition to large local expansion it assumes negative sliding is required to provide sufficient nonlinearities, to bound the brake squeal phase space behavior. In this case, the analytical solution is not fully closed form, so a numerical root finding function is required to find the solution for 𝜇 from the analytical equations for 𝑐 in ( 8),( 11)- (13). However, in practice, this computational time was found to be almost instantaneous.…”

Section: Prediction Of Brake Squeal Chaosmentioning

confidence: 99%

See 1 more Smart Citation

Prediction and suppression of chaotic instability in brake squeal

Meehan

2021

Nonlinear Dyn

View full text Add to dashboard Cite

Section: Prediction Of Brake Squeal Chaosmentioning

confidence: 99%

Section: Prediction Of Brake Squeal Chaosmentioning

confidence: 99%

Prediction and suppression of chaotic instability in brake squeal

Meehan

2021

Nonlinear Dyn

View full text Add to dashboard Cite

“…It is found that the largest eigenvalue is most positive when the effective system damping in the modal equation ( 11) is most negative. This occurs under stiffness mode coupling conditions in typical brake squeal conditions because the modal damping factor is less than critical, causing the complex stiffness to have a larger instability effect than the modal damping (13). Therefore, a simple, conservative analytical solution for the critical friction coefficient at which brake squeal chaos may occur may be obtained, based on the occurrence of stiffness mode coupling, as:…”

Section: Prediction Of Brake Squeal Chaosmentioning

confidence: 99%

Prediction and Suppression of Chaotic Instability in Brake Squeal

Meehan

2021

Preprint

View full text Add to dashboard Cite

Chaotic instability in a vibration phenomenon, known as brake squeal, is investigated including the combined effects of falling friction and mode coupling. Brake squeal is a high-pitched noise that occurs sometimes when a vehicle is decelerated using disk brakes. The equations of motion for the two dominant coupled modes of the brake system reduce to two autonomous coupled nonlinear second order systems. The mode coupling instability via friction causes limit cycle behaviour via a Hopf bifurcation. This limit cycle is shown to break up into chaotic motion characterised by a phase space with an approximate one-dimensional attractor, similar to that found in a forced dry friction oscillator. For the first time, conservative analytical conditions for brake squeal chaos are developed and verified numerically over a range of sprag angles and brake pressures for fundamental and real brake systems. The predictive model is then used to identify and quantify means to suppress brake squeal chaos to unlikely, excessive friction levels. The results provide predictive insight into conditions under which brake squeal chaos occurs and its suppression.

show abstract

“…As mentioned in previous works (Matsui et al, 1992;Dihua et al, 1998;Park et al, 2001;Nakata et al, 2001;Chung et al, 2001;Chung et al, 2003b;Chung et al, 2003a), the most convenient way to introduce contact in a brake FE model consists in adding contact stiffnesses between disc and pads. Those springs account for the normal contact force N. In order to consider the tangential force T induced by friction, the Coulomb law is adopted:…”

Section: Contact Definitionmentioning

confidence: 99%

Parameter analysis of brake squeal using finite element method

Fritz

Sinou

Duffal

et al. 2007

European Journal of Computational Mechanics

View full text Add to dashboard Cite

Brake Squeal is a friction induced instability phenomenon known to be one of the most annoying noise for drivers. This paper focuses on the mode coupling aspect of brake squeal by means of a multi parametric analysis. The study is based on a Finite Element model of the whole brake corner. A complex eigenvalue analysis is undertaken, with a modal projection technique, to detect the stable and unstable modes. Following this process, the brake stability is assessed as a function of the friction coefficient. The results highlight accurately the modecoupling phenomenon also referred to as coalescence. Then, the emphasis is put on the disc Young modulus variability by launching a numerical design of experiment. Finally, the brake robustness is displayed as functions of the friction coefficient and of the disc Young modulus. RÉSUMÉ. Le crissement de frein est un phénomène d'instabilité vibratoire induit par le frottement, connu comme l'un des bruits les plus gênants pour le conducteur. Cet article se focalise, grâce à une analyse multiparamètrique, sur la coalescence de modes lors du crissement. L'étude se base sur un modèle éléments finis du système de freinage complet. Une analyse aux valeurs propres complexes est réalisée, avec une technique de projection modale, afin de déterminer quels sont les modes stables et instables. Une étude paramètrique permet de déterminer la stabilité du système en fonction de la valeur du coefficient de frottement. Les résultats décrivent avec précision le phénomène de coalescence. Enfin, un plan d'expérience est lancé afin d'évaluer l'influence du frottement et du module d'Young du disque sur la stabilité du système.

show abstract

A Study on the Reduction of Disc Brake Squeal Using Complex Eigenvalue Analysis

Cited by 13 publications

References 4 publications

Prediction and suppression of chaotic instability in brake squeal

Prediction and suppression of chaotic instability in brake squeal

Prediction and Suppression of Chaotic Instability in Brake Squeal

Parameter analysis of brake squeal using finite element method

Contact Info

Product

Resources

About