Sensitivity analysis of brake squeal tendency to substructures’ modal parameters
TL;DR: In this paper, the dominant modal parameters of a brake system for brake squeal suppression analysis are derived. But the analysis results show that a modified rotor or a modified bracket can be used to eliminate the squealing and that the latter is taken in practice and verified experimentally.
About: This article is published in Journal of Sound and Vibration.The article was published on 2006-03-21. It has received 42 citations till now. The article focuses on the topics: Brake & Disc brake.
Citations
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Journal Article•
TL;DR: In this paper, an approximate analysis method for brake squeal is presented using MSC/NASTRAN, where a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor.
Abstract: An approximate analysis method for brake squeal is presented. Using MSC/NASTRAN, a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor. The friction coefficient can be pressure dependent. Next, linearised complex modes are found where the interface is set in a slip condition. Since the entire interface is set sliding, it produces the maximum friction work possible during the vibration. It is a conservative measure for stability evaluation. An averaged friction coefficient is measured and used during squeal. Dynamically unstable modes are found during squeal. They are due to friction coupling of neighbouring modes. When these modes are decoupled, they are stabilised and squeal is eliminated. Good correlation with experimental results is shown. It will be shown that the complex modes base-line solution is insensitive to the type of variations in pressure and velocity that occur in a test schedule. This is due to the conservative nature of the approximation. Convective mass effects have not been included.
114 citations
TL;DR: In this article, a review of state-of-the-art studies on brake vibration and noise is presented, focusing on the still-open questions that appear crucial from the perspective of a leading brake manufacturer.
Abstract: Several state of the art papers and even books on brake vibration and/or noise have been presented in the literature. Many of them have analytically and sharply accounted for the impressive amount of research undertaken on this topic. This state of the art review focuses on the still-open questions that appear crucial from the perspective of a leading brake manufacturer. The paper deals with the phenomena of brake vibration and/or noise, the experimental and theoretical methods for studying such phenomena, and the actions that are identified to be necessary to definitely solve the addressed problem. Key topics are the modelling of friction, the modelling of the dynamics of the brake as a non-linear system subjected to deterministic or random (parametric) excitation, the proper modelling of the contact between the disc and the pad, and the experimental validation of the mathematical models.
86 citations
TL;DR: An uncertain optimization method for brake squeal reduction of vehicle disc brake system with interval parameters is presented in this article, where the parameters of frictional coefficient, material properties and the thicknesses of wearing components are treated as uncertain parameters, which are described as interval variables.
57 citations
Cites methods from "Sensitivity analysis of brake squea..."
...[15] explored the sensitivity analysis methods to determine the dominant modal parameters of substructures of a brake system for the brake squeal suppression analysis, the related formulas of sensitivities of the positive real part of the squeal mode to substructures' modal parameters were derived....
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TL;DR: In this paper, the effects of contact stiffness, non-proportional damping and a velocity-dependent coefficient of friction are considered, and it is found that each physical effect can significantly alter predictions; each physical effects can lead to extreme sensitivity; and high sensitivity can sometimes occur when modal amplitudes are small such that they might normally be considered insignificant.
50 citations
TL;DR: In this paper, the authors explore the sensitivity and uncertainty of predictions from a modal point of view, using models of a realistic complexity, and present a method for efficiently estimating prediction error bounds using representative parametric uncertainties.
49 citations
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220 citations
Journal Article•
TL;DR: In this paper, an approximate analysis method for brake squeal is presented using MSC/NASTRAN, where a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor.
Abstract: An approximate analysis method for brake squeal is presented. Using MSC/NASTRAN, a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor. The friction coefficient can be pressure dependent. Next, linearised complex modes are found where the interface is set in a slip condition. Since the entire interface is set sliding, it produces the maximum friction work possible during the vibration. It is a conservative measure for stability evaluation. An averaged friction coefficient is measured and used during squeal. Dynamically unstable modes are found during squeal. They are due to friction coupling of neighbouring modes. When these modes are decoupled, they are stabilised and squeal is eliminated. Good correlation with experimental results is shown. It will be shown that the complex modes base-line solution is insensitive to the type of variations in pressure and velocity that occur in a test schedule. This is due to the conservative nature of the approximation. Convective mass effects have not been included.
114 citations
TL;DR: In this paper, an approximate analysis method for brake squeal is presented using MSC/NASTRAN, where a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor.
Abstract: An approximate analysis method for brake squeal is presented. Using MSC/NASTRAN, a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor. The friction coefficient can be pressure dependent. Next, linearised complex modes are found where the interface is set in a slip condition. Since the entire interface is set sliding, it produces the maximum friction work possible during the vibration. It is a conservative measure for stability evaluation. An averaged friction coefficient is measured and used during squeal. Dynamically unstable modes are found during squeal. They are due to friction coupling of neighbouring modes. When these modes are decoupled, they are stabilised and squeal is eliminated. Good correlation with experimental results is shown. It will be shown that the complex modes base-line solution is insensitive to the type of variations in pressure and velocity that occur in a test schedule. This is due to the conservative nature of the approximation. Convective mass effects have not been included.
106 citations
23 Feb 1998
79 citations
TL;DR: In this article, a feed-in energy analysis for brake squeal is studied by using a closed-loop coupling model based on the brake closed loop coupling model, and a calculation method of feedin energy for squeal mode is derived.
56 citations