A minimal model for the influence of equilibrium positions on brake squeal

被引：1
作者：
Koch S. [1 ]
Gräbner N. [1 ]
von Wagner U. [1 ]
机构：
[1] Department of Applied Mechanics, Chair of Mechatronics and Machine Dynamics (MMD), Technische Universität Berlin, Berlin
来源：
GAMM Mitteilungen | 2023年 / 46卷 / 01期
关键词：
brake noise; equilibrium positions; minimal model; nonlinearities; stability;
D O I：
10.1002/gamm.202300001
中图分类号：
学科分类号：
摘要：
The phenomenon brake squeal has been an ongoing topic for decades, both in the automotive industry and in science. Although there is agreement on the excitation mechanism of brake squeal, namely self-excitation due to frictional forces between the disk and the pad, in the subject of squeal it is very complex to discover all relevant effects and to take them into account. Several of these problems are related to nonlinearities, for example, in the contact between pad and disk or drum or in the behavior of the brake pad material. One of these nonlinear effects, which has been almost completely neglected so far, is that the brake can engage, mainly due to the bushing and joint elements within the brake, different equilibrium positions. This in fact has serious influence on the noise behavior as shown in experimental studies. For example, it is observed in experiments that, despite identical operating parameters, squeal sometimes occurs and sometimes not. In initial experimental studies, this could be related to the engaged equilibrium position. Following these experimental studies, the present paper introduces a minimal model by extending the well-known minimal model by Hoffmann et al. by corresponding elements and nonlinearities allowing the system to engage different equilibrium positions. As will be presented, the stability behavior strongly depends on the engaged equilibrium position. Therefore, the minimal model represents the key experimentally observed issues. Additionally, a limit cycle behavior can also be observed. © 2023 The Authors. GAMM - Mitteilungen published by Wiley-VCH GmbH.
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  • [1] Cantoni C., Cesarini R., Mastinu G., Rocca G., Sicigliano R., Brake comfort - a review, Veh. Syst. Dyn., 47, 8, pp. 901-947, (2009)
  • [2] Ganji H.F., Ganji D.D., Effects of equilibrium point displacement in limit cycle oscillation amplitude, critical frequency and prediction of critical input angular velocity in minimal brake system, AIP Adv., 7, 4, (2017)
  • [3] Grabner N., Analyse und Verbesserung der Simulationsmethode des Bremsenquietschens, (2016)
  • [4] Hagedorn P., Hochlenert D., Technische Schwingungslehre: Schwingungen linearer diskreter mechanischer Systeme, (2015)
  • [5] Hetzler H., Bifurcations in autonomous mechanical systems under the influence of joint damping, J. Sound Vib., 333, pp. 5953-5969, (2014)
  • [6] Hoffmann N., Fischer M., Allgaier R., Gaul L., A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations, Mech. Res. Commun., 29, pp. 197-205, (2002)
  • [7] Kinkaid N.M., O'Reilly O.M., Papadopoulos P., Automotive disk brake squeal, J. Sound Vib., 267, pp. 105-166, (2003)
  • [8] Koch S., Minimal model for brake squeal with respect to multiple equilibrium positions (version 2), figshare, (2022)
  • [9] Koch S., External disturbance for minimal model with respect to multiple equilibrium positions (version 1), figshare, (2022)
  • [10] Koch S., Godecker H., von Wagner U., On the interrelation of equilibrium positions and work of friction forces on brake squeal, Arch. Appl. Mech., 92, pp. 771-784, (2022)
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