Damping optimization in simplified and realistic disc brakes
type: Item
instance of: scholarly article
title: Damping optimization in simplified and realistic disc brakes
zbMATH Open document ID: 1380.74002
DOI: 10.1007/978-3-319-62713-7
author: Jan-Hendrik Wehner
author: Dominic Jekel
author: Rubens Sampaio
author: Peter Hagedorn
published in: SpringerBriefs in Applied Sciences and Technology
publication date: 2017-11-01T00:00:00Z
review text: The squealing noise of automotive disc brakes arises due to friction forces in the contact interface between the brake pads and the rotating brake discs. The automotive industry aims to avoid the occurrence of high-frequency vibrations for comfort reasons by adding the damping. However, in some cases the damping must be reduced in order to optimize the stability of brakes. The equations of motion of disc brakes are nonlinear in general. In this book, a Taylor expansion yields the linearized equations of motion, which generate an eigenvalue problem for eigenvalues and corresponding eigenvectors. By using Floquet theory, the Floquet multipliers can be interpreted as eigenvalues of the monodromy matrix. The instability occurs if at least one eigenvalue has a positive real part or if at least one Floquet multiplier has absolute value greater than one, respectively. Thus, in this book, the optimization of the stability of brakes leads to an optimization of eigenvalues or Floquet multipliers. Some models of damping (Coulomb damping, viscous damping and structural damping) are used. The numerical technique of optimization is described. A minimal model of the disc brake with two degrees of freedom is analyzed to understand the qualitative stability behavior by modifying the damping matrices which have a distinct physical origin. The optimization is carried out using finite element (FE) models of simplified and realistic disc brakes. A simplified FE model of a disc brake (4600 DOF) is used to explain the optimization technique in detail. The introduced optimization method is applied to a high-dimensional, industrial disc brake model (104000 DOF), where the main aim is to optimize the structural damping factors of different brake components. As observed in the minimal model and in the simple FE model, there are limits above which adding more damping does not lead to a significant improvement of the stability of the brake system. The results of the optimization of the high-dim…
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 6802102
zbMATH Keywords: automotive disc brake
zbMATH Keywords: rotating disc brake
zbMATH Keywords: high-frequency vibration
zbMATH Keywords: brake stability
zbMATH Keywords: damping
zbMATH Keywords: friction
zbMATH Keywords: finite element method
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: Floquet theory
reviewed by: V. L. Leontiev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-62713-7
OpenAlex ID: W2734860730
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description: scientific article; zbMATH DE number 6802102