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An analytical study of vibration and instability of automotive disc brakes.

机译：汽车盘式制动器的振动和不稳定性的分析研究。

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摘要

The understanding, prediction, and prevention of automotive/aircraft disc brake vibration and noise is a difficult and challenging problem because of the complex nature of the brake system, involving tribological and dynamic aspects as well as a large number of design parameters. Therefore, in spite of extensive research employing sophisticated experimental and analytical techniques, no model has successfully described the squeal phenomenon and the prevention of its occurrence is far from reality. The purpose of this research is to establish an innovative analytical model to understand the fundamental causes of brake vibration and noise, and to provide new insights into the brake squeal generation mechanism.; Based on the key results reported in the literature, a mathematical model which is nonlinear, nonconservative, time-dependent, and subjected to quasiperiodic excitations is established to examine the vibration and instability of the brake rotor-pad system. Applying a linearized model first, the effects of various system parameter such as the coefficient of friction, number of nodal diameters of the spinning brake rotor, pad end conditions, and geometry of the brake caliper on the stability are investigated. The full nonlinear model is then examined. For the first time, nonlinearity resulting from the contact mechanics between the disc and pad predicts a possible irregular motion (chaotic vibration) of the brake pad in the neighborhood of resonance. This chaotic behavior is identified and quantitatively measured by applying Poincaré maps, Fourier spectra, and Lyapunov exponents. It is found that these chaotic motions emerge as a result of successive Hopf bifurcations characterized by the torus breakdown and torus doubling routes as the excitation frequency varies. Besides, as a subject of future research work related to disc brake vibration and noise, a general form of mathematical model for a spinning disk subjected to a distributed frictional traction is developed based on the Mindlin's thick plate theory. This model also includes the effect of rotor rigid body motion which is often encountered in the lower frequency ranges. Moreover, the plane stress state due to distributed in-plane loading is obtained in a closed form by expressing the solution in a Fourier series. This rotor model can be applied to other spinning disk applications with similar loading conditions such as high speed gyroscopes and turbines.
机译：由于制动系统的复杂性，涉及摩擦学和动力学方面以及大量的设计参数，因此了解，预测和防止汽车/飞机盘式制动器的振动和噪声是一个困难而具有挑战性的问题。因此，尽管进行了广泛的研究，并采用了先进的实验和分析技术，但是还没有模型能够成功地描述尖叫声现象，而且防止这种现象的发生还远远不能实现。该研究的目的是建立一个创新的分析模型，以了解制动器振动和噪声的根本原因，并为制​​动器尖叫声的产生机理提供新的见解。基于文献报道的关键结果，建立了非线性，非保守，时变和准周期激励的数学模型，以检查制动转子-制动片系统的振动和不稳定性。首先应用线性化模型，研究各种系统参数（例如摩擦系数，旋转的制动转子的节点直径数量，轴瓦端部条件以及制动钳的几何形状）对稳定性的影响。然后检查完​​整的非线性模型。第一次，由盘和制动衬块之间的接触力学引起的非线性预测了制动衬块在共振附近可能的不规则运动（混沌振动）。通过应用庞加莱图，傅立叶光谱和李雅普诺夫指数，可以识别并定量测量这种混沌行为。发现这些混沌运动是由于相继的霍普夫分支而出现的，其特征是随着激励频率的变化，环面击穿和环面加倍路径。此外，作为未来与盘式制动器振动和噪声有关的研究主题，基于Mindlin厚板理论，开发了具有分布摩擦牵引力的旋转盘数学模型的一般形式。该模型还包括转子刚体运动的影响，这在低频范围内经常遇到。此外，通过以傅立叶级数表示解，以闭合形式获得由于分布的平面内载荷而引起的平面应力状态。该转子模型可以应用于具有类似负载条件的其他旋转盘应用，例如高速陀螺仪和涡轮机。

著录项

  • 作者

    Kang, Bongsu.;

  • 作者单位

    Wayne State University.;

  • 授予单位 Wayne State University.;
  • 学科 Engineering Mechanical.; Engineering Automotive.
  • 学位 Ph.D.
  • 年度 2000
  • 页码 299 p.
  • 总页数 299
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;自动化技术及设备;
  • 关键词

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