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Main Title: On the influence of external stochastic excitation on linear oscillators with subcritical self-excitation and gyroscopic influence with application to brake squeal
Author(s): Nguyen-Thai, Minh-Tuan
Wulff, Paul
Gräbner, Nils
Wagner, Utz von
Type: Article
Language Code: en
Abstract: In a linear analysis for brake squeal, an unwanted type of sound in the kHz-range produced during the braking process of vehicles, usually only the stability of the system is examined. However, with the appearance of additional stochastic excitation, the vibration of a linear system with subcritical self-excitation, i.e. having self-excitation but due to damping still an asymptotically stable trivial solution, may be large enough to produce a squeal sound. In this paper, this hypothesis of stochastically reinforced self-excitation is supported by a case study on a wobbling diskmodel for brake squeal, which includes both circulatory and gyroscopic forces. For this example, the Fokker-Planck equation is solved and numerical integrations are performed. A short parameter study is carried out to examine the effect of damping and gyroscopic terms on these stochastically reinforced self-excitation. The results suggest that this possibility should be considered additionally to classical explanations of brake squeal.
Issue Date: 17-Jun-2020
Date Available: 18-Jun-2020
DDC Class: 621 Angewandte Physik
Subject(s): brake squeal
stochastic excitation
stochastically reinforced self-excitation
gyroscopic effects
Journal Title: ZAMM : journal of applied mathematics and mechanics = Zeitschrift für angewandte Mathematik und Mechanik
Publisher: Wiley-VCH
Publisher Place: Berlin
Article Number: e202000113
Publisher DOI: 10.1002/zamm.202000113
EISSN: 1521-4001
ISSN: 0044-2267
Appears in Collections:FG Mechatronische Maschinendynamik » Publications

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