This paper investigates the effects of tangential harmonic excitation on the friction-induced-vibration in multi-degree-of-freedom systems that are coupled in the tangential and normal directions. A minimal two-degree-of-freedom system and a more complicated slider-on-disc system are considered. It is observed the friction-induced-vibration of the systems can be suppressed with the tangential harmonic excitation when the amplitude and frequency of the excitation are in certain ranges. The analytical method to determine the ranges where the systems are stabilized by the tangential excitation is established. To verify the analytical results, a great amount of computational effort is also made to simulate the time responses of systems in various combinations of values of the amplitude and frequency, by which the parameter ranges where the friction-induced vibration is suppressed can also be obtained. This research can provide theoretical guidance for the suppression of friction-induced-vibration in a real disc brake system by application of a tangential harmonic excitation.

中文翻译：

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使用切向谐波激励抑制 MDoF 系统中的摩擦引起的振动

本文研究了切向谐波激励对切向和法向耦合的多自由度系统中摩擦诱发振动的影响。考虑了最小的二自由度系统和更复杂的滑块系统。观察到当激励的幅值和频率在一定范围内时，系统的摩擦振动可以被切向谐波激励抑制。建立了确定系统被切向激励稳定的范围的分析方法。为了验证分析结果，还进行了大量的计算工作来模拟系统在各种幅度和频率值组合下的时间响应，也可以得到抑制摩擦引起的振动的参数范围。该研究可为实际盘式制动系统中应用切向谐波激励抑制摩擦振动提供理论指导。