Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14615
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Main Title: Numerical methods for parametric model reduction in the simulation of disk brake squeal
Author(s): Gräbner, Nils
Mehrmann, Volker
Quraishi, Sarosh
Schröder, Christian
Von Wagner, Utz
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15842
http://dx.doi.org/10.14279/depositonce-14615
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: We present numerical methods for model reduction in the numerical simulation of disk brake squeal. Automotive disk brake squeal is a high frequency noise phenomenon based on self excited vibrations. Our method is based on a variation of the proper orthogonal decomposition method and involves the solution of a large scale, parametric eigenvalue problem. Several important challenges arise, some of which can be traced back to the finite element modeling stage. Compared to the current industrial standard our new approach is more accurate in vibration prediction and achieves a better reduction in model size. This comes at the price of an increased computational cost, but it still gives useful results when the traditional method fails to do so. We illustrate the results with several numerical experiments, some from real industrial models, some from simpler academic models. These results indicate where improvements of the current black box industrial codes are advisable.
Subject(s): brake squeal
quadratic eigenvalue problem
complex eigenvalue analysis
model reduction
damped systems
modeling errors
proper orthogonal decomposition
Issue Date: 28-Jul-2015
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65F15 Eigenvalues, eigenvectors
65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65P40 Nonlinear stabilities
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2015, 16
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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