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Numerical methods for parametric model reduction in the simulation of disk brake squeal
Author(s) -
Gräbner Nils,
Mehrmann Volker,
Quraishi Sarosh,
Schröder Christian,
Wagner Utz
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201500217
Subject(s) - reduction (mathematics) , brake , disc brake , parametric statistics , finite element method , vibration , computer science , computer simulation , modal , parametric model , eigenvalues and eigenvectors , automotive industry , mathematics , automotive engineering , physics , structural engineering , engineering , acoustics , simulation , materials science , aerospace engineering , geometry , statistics , quantum mechanics , polymer chemistry
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 classical modal reduction 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.