Friction Coefficient Variation at Minute Vibrating Velocity between Brake Pad and Disc Rotor

Aoki, Yusuke; Nishizawa, Yukio; Kurita, Yutaka; Oura, Yasunori

doi:10.4271/2013-01-2041

Cited by 3 publications

(2 citation statements)

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“…When reaches 4.2, 1 peaks at 37 and 2 F I G U R E 9 Stochastic-excitation ratios dependence on F I G U R E 1 0 Stochastic-excitation ratios with varied and for a) the first state variable and b) the second state variable at 11. Considering (5), (8), (10) and (37), and the disk speed Ω have a direct monotonic relationship so there is no upper bound for ; however, if is too high, the original EDGKN system is unstable so the deviation comparison is no longer valid. The stochastic-excitation ratios decrease when increases beyond 4.2 but do not drop below 6.…”

Section: Parameter Studymentioning

confidence: 99%

“…Thus, nonlinear models are derived to explain the limitation of the amplitudes, and brake squeal is modeled as a limit cycle [7][8][9]. It is extremely hard to measure the nonlinear characteristics, especially those of the frictional contacts [10][11][12], so that the validities of the nonlinear models are hard to confirm. Normally, when the trivial solution of a linear system is stable, brake squeal is considered not to happen, disregarding the transient process -the period of time the system changes from an initial state to the steady state.…”

Section: Introductionmentioning

confidence: 99%

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On the influence of external stochastic excitation on linear oscillators with subcritical self‐excitation and gyroscopic influence with application to brake squeal

et al. 2020

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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 disk model 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.

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Section: Parameter Studymentioning

confidence: 99%