Creep groan is one of the low frequency vibration phenomena, which can be observed in automotive disk brakes at low driving speeds [1]. In order to study fundamental mechanisms of creep groan, a model with bristle friction law was set up, for which the bifurcation behavior was studied numerically. A corresponding map reflecting regions with qualitatively different behavior was obtained and compared with experimental results [9–11]. In the work described in this paper, an analytical study based on an approach presented in [13, 14] is proposed as an alternative way to map the bifurcation behavior. The corresponding nonlinear model shows that the system may have three different parameter regions with different types of asymptotically stable solutions, i.e. an equilibrium solution, a stick-slip limit cycle, and coexistence of them. The stick-slip limit cycle can be interpreted as the origin of creep groan in a vehicle while the equilibrium solution is the desired non-vibrating solution. As the regions reflect the risk of generation of creep groan, it can be used to evaluate the robustness of brake systems against creep groan. The analytical study is verified by experimental results.

中文翻译：

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蠕变呻吟的分叉行为解析分析

蠕动呻吟是低频振动现象之一，可以在低速行驶的汽车盘式制动器中观察到[1]。为研究蠕变呻吟的基本机理，建立了具有刷毛摩擦定律的模型，并对其分岔行为进行了数值研究。获得了具有性质不同行为的相应地图反映区域，并与实验结果进行了比较[9-11]。在本文描述的工作中，提出了基于 [13, 14] 中提出的方法的分析研究，作为映射分叉行为的替代方法。相应的非线性模型表明，系统可能具有三个不同的参数区域，具有不同类型的渐近稳定解，即平衡解、粘滑极限环以及它们的共存。粘滑极限循环可以解释为车辆蠕变呻吟的起源，而平衡解是所需的非振动解。由于这些区域反映了产生蠕动呻吟的风险，因此可用于评估制动系统对抗蠕变呻吟的鲁棒性。实验结果验证了分析研究。