DISC BRAKE SQUEAL ANALYSIS USING NONLINEAR MATHEMATICAL MODEL

2021 ◽  
Vol 263 (2) ◽  
pp. 4773-4778
Author(s):  
Akif Yavuz ◽  
Osman Taha Sen
Keyword(s):  
Mathematical Model ◽  
Sliding Friction ◽  
Nonlinear Behavior ◽  
Friction Model ◽  
Degree Of Freedom ◽  
Computational Techniques ◽  
Brake Disc ◽  
Disc Brake ◽  
Brake Squeal ◽  
The Stability

Many academics have examined the disc brake squeal problem with experimental, analytical, and computational techniques, but there is as yet no method to completely understand disc brake squeal. This problem is not fully understood because a nonlinear problem. A mathematical model was created to understand the relationship between brake disc and pad thought to cause the squeal phenomenon. For this study, two degree of freedom model is adopted where the disc and the pad are modeled. The model represents pad and disc as single degree of freedom systems that are connected together through a sliding friction interface. This friction interface is defined by the dynamic friction model. Using this model, linear and nonlinear analyzes were performed. The stability of the system under varying parameters was examined with the linear analysis. Nonlinear analysis was performed to provide more detailed information about the nonlinear behavior of the system. This analysis can provide information on the size of a limit cycle in phase space and hence whether a particular instability is a problem. The results indicate that with the decrease in the ratio of disc to pad stiffness and disc to pad mass, the system is more unstable and squeal noise may occur.

Relationship between the Steady-Handling Characteristics of Automobiles and Their Stability

1973 ◽  
Vol 15 (5) ◽  
pp. 326-328 ◽  
Author(s):  
R. S. Sharp
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Degree Of Freedom ◽  
Nonlinear Region ◽  
Handling Characteristics ◽  
Yield Information ◽  
Turning Motion ◽  
The Stability ◽  
Three Degree Of Freedom

Analyses of the steady-state handling behaviour of an automobile and the stability of its steady-turning motion, based on a three degree of freedom mathematical model, are used to show that the steady behaviour and the stability are related similarly in the nonlinear region as in the well documented linear one. It is concluded that analysis and measurement of the steady behaviour will yield information on the stability of automobiles.

Dynamics and Stability of a Nonlinear Brake Model

2001 ◽  
Author(s):  
Jörg Wauer ◽  
Jürgen Heilig
Keyword(s):  
Stability Analysis ◽  
Lyapunov Exponent ◽  
Nonlinear Model ◽  
Numerical Evaluation ◽  
Critical Speed ◽  
Initial Conditions ◽  
Brake Disc ◽  
Disc Brake ◽  
Brake Pad ◽  
The Stability

Abstract The dynamics of a nonlinear car disc brake model is investigated and compared with a simplified linear model. The rotating brake disc is approximated by a rotating ring. The brake pad is modeled as a point mass which is in contact with the rotating ring and visco-elastically suspended in axial and circumferential direction. The stability analysis for the nonlinear model is performed by a numerical evaluation of the top Lyapunov-exponent. Several parameter studies for the nonlinear model are discussed. It is shown that dynamic instabilities of the nonlinear model are estimated at subcritical rotating speeds lower than 10% of the critical speed. Further, the sensitivity of the nonlinear model to the initial conditions and the stiffness ratios is demonstrated.

scholarly journals Influence of Material-Dependent Damping on Brake Squeal in a Specific Disc Brake System

2021 ◽  
Vol 11 (6) ◽  
pp. 2625
Author(s):  
Juraj Úradníček ◽  
Miloš Musil ◽  
L’uboš Gašparovič ◽  
Michal Bachratý
Keyword(s):  
Dynamic Instability ◽  
Friction Material ◽  
System Stability ◽  
Brake System ◽  
Brake Disc ◽  
Disc Brake ◽  
Fe Model ◽  
Brake Squeal ◽  
Friction Forces ◽  
General Material

The connection of two phenomena, nonconservative friction forces and dissipation-induced instability, can lead to many interesting engineering problems. We study the general material-dependent damping influence on the dynamic instability of disc brake systems leading to brake squeal. The effect of general damping is demonstrated on minimal and complex models of a disc brake. Experimental analyses through the frequency response function (FRF) show different damping of the brake system coalescent modes, indicating possible dissipation-induced instability. A complex system including material-dependent damping is defined in commercial finite element (FE) software. A FE model validated by experimental data on the brake-disc test bench is used to compute the influence of a pad and disc damping variations on the system stability using complexe igenvalue analysis (CEVA). Numerical analyses show a significant sensitivity of the experimentally verified unstable mode of the system to the ratio of the damping between the disc and the friction material components.

Vibration Characteristics of Elastic Disc Brake Pad Device

2011 ◽  
Vol 101-102 ◽  
pp. 29-32 ◽  
Author(s):  
Ji Min Zhang ◽  
Kuan Yang
Keyword(s):  
Mathematical Model ◽  
Friction Force ◽  
Friction Surface ◽  
Railway Vehicle ◽  
Brake Disc ◽  
Disc Brake ◽  
Brake Pad ◽  
Braking Performance ◽  
Simulation Results ◽  
Elastic Disc

A new elastic disc brake pad device is designed. A mathematical model on railway vehicle elastic disc brake is established compared with the non-elastic brake pad by uni-wheel set braking simulation. The simulation results show that the elastic brake pad could guarantee the vehicle braking performance as same as the non-elastic brake pad. When the friction surface of the brake disc or pad has defects, the elastic brake pad can effectively reduce the vibration of the friction force between the brake pad and the brake disc. It has been proved that the correctness and rationality of the design. A new idea for the design and analysis of the disc brake system is provides.

A Study of Squeal Noise in Vehicle Brake System

2011 ◽  
Author(s):  
Xu Wang ◽  
Sabu John ◽  
He Ren
Keyword(s):  
Experimental Tests ◽  
Brake System ◽  
Brake Disc ◽  
Disc Brake ◽  
Brake Squeal ◽  
Design Changes ◽  
Brake Application ◽  
Unstable Vibration ◽  
Squeal Noise ◽  
Brake Noise

Disc brake squeal can be classified as a form of friction-induced vibration. Eliminating brake noise is a classic challenge in the automotive industry. This paper presents methods for analyzing the unstable vibration of a car disc brake. The numerical simulation has been conducted, and its results are compared with those from the experimental tests. The root causes of brake squeal noise will be identified. Potential solutions for elimination of the brake squeal noise will be proposed. Firstly, new materials and technologies for the disc brake application will be explored, secondly, it will be illustrated how to avoid the brake squeal noise problem from the brake system design. Brake disc design changes for improving cooling performance, and service solutions for brake squeal noise will be presented.

Analysis of High Frequency Squeal in a Disc-Brake System Using a Stick-Slip Friction Model

2003 ◽  
Author(s):  
Manish Paliwal ◽  
Ajay Mahajan ◽  
Peter Filip
Keyword(s):  
High Frequency ◽  
Contact Stiffness ◽  
Friction Model ◽  
System Stability ◽  
Disc Brake ◽  
Brake Pad ◽  
Stick Slip ◽  
Parametric Studies ◽  
The Stability ◽  
Two Degree Of Freedom

This paper presents a two degree of freedom (2-DOF) stick-slip friction model for studying the effect of contact stiffness on the stability of the system. It is shown that the stability is not only a function of non-linear variation in the friction force provide by stick-slip but also depends on the variation in stiffness of contact due to the formation of friction layers on the surface of the rotor and the brake pad. Parametric studies have been presented to show the effect of variation in coefficient of friction and contact stiffness on the system stability.

REDUCTION OF DISC BRAKE SQUEAL NOISE USING CONSTRAINED LAYER DAMPERS

2017 ◽  
Vol 79 (7-4) ◽  
Author(s):  
S. Arvin Rao ◽  
Muhamad Anuwar Jusoh ◽  
Abd Rahim Abu Bakar ◽  
Mohd Kameil Abdul Hamid ◽  
Khidzir Zakaria
Keyword(s):  
Standard Procedure ◽  
Brake Disc ◽  
Hydraulic Pressure ◽  
Disc Brake ◽  
Butadiene Rubber ◽  
Brake Squeal ◽  
Noise Test ◽  
Prevention Methods ◽  
Squeal Noise ◽  
Brake Noise

Brakes squeal has remained to be one of the major NVH challenges in brake system design and development. It has been a concern for automotive industry for decade. Brake researchers have proposed many brake squeal reduction and prevention methods in order to overcome and reduce the squeal that emanates from the brake disc systems. In this paper, the effectiveness of constrained layer dampers (CLD) in reducing disc brake squeal noise was investigated. CLD isolates the brake squeal noise through shear deformations of the viscoelastic materials. Two sets of brake tests were conducted using the brake test dynamometer with the application of CLD. Two different types of CLD were used which are three-layer constrained layer damper and four-layer constrained layer damper. Squeal tests were carried out using brake noise test rig based on the global standard procedure SAE J2521. From the test, four-layer CLD configuration works more efficient than three-layer CLD configuration. CLD made up of nitrile butadiene rubber, silicone rubber and mild steel proved to be the most effective noise insulator at hydraulic pressure range of 5 bar to 30 bar and temperature range of 50oC to 200oC with a maximum noise reduction of 11.3 dBA. Thus, CLD technique was proven to be an effective method in reducing brake squeal noise.

scholarly journals Impact Analysis of Brake Pad Backplate Structure and Friction Lining Material on Disc-Brake Noise

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Gongyu Pan ◽  
Lei Chen
Keyword(s):  
Layer Structure ◽  
Brake System ◽  
Mode Analysis ◽  
Bench Test ◽  
Brake Disc ◽  
Disc Brake ◽  
Complex Eigenvalue ◽  
Brake Pad ◽  
Six Dof ◽  
The Stability

This study proposes a three-layer brake pad design, on which a six-DOF dynamic model of brake disc-brake pad is established, and the factors affecting the system instability are analyzed. The analysis shows that the change of mass and stiffness of the brake pad will affect the stability of the system. From the linear complex eigenvalue analysis, the unstable vibration modes of the brake system are predicted, and the effectiveness of the complex mode analysis model is verified by the brake system bench test. Brake pads with different structural shapes are designed, and their influence on the stability of the brake system is analyzed. The results show that the design of the three-layer structure and the slotting design of the brake pad can effectively reduce the occurrence of the brake squeal, especially that of the high-frequency squeal noise.

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