接触刚度非均质性对摩擦引起的振动的影响

接触刚度非均质性对摩擦引起的振动的影响

摘要

众所周知，人们对大多情况下尖锐声音产生的原因还不很清楚。尖锐声音的产生受宏观和微观因素的影响。现有的文章提出了接触表面间因刚度（硬度)不均匀产生的相互作用和激发尖锐声音的可能性。

因此，开发一种分析模型来表明某些特定参数对对尖锐声音现象的影响。接触表面的模型化是通过连接盘和分布式弹簧垫（接触刚度)进行的。在这个模型中，以前的静态平衡分析和复杂的模态分析主要目的是确定预期的压力分布以及系统的固有频率。

在这种结构中，结果表明，引入非均质性可以改变该系统的动态行为。此外，对非均质的尺寸的影响进行了研究，结果表明，该参数对尖锐声音发生的可能性有一定的影响。文中还指出了一个非均质性相关长度，并且它对于考虑这种特殊结构是合理的。当作为解释制动衬垫的部件和接触表面形态尺寸相关的噪声发生的函数时，是与这个数据有关的。

关键词：摩擦引起的振动；复杂模态分析；非匀质刚度接触；非匀质形态的影响

机械振动理论及工程应用Abstract

Impact of Contact Stiffness Heterogeneities on Friction-induced Vibration

Abstract

It is well-known that the occurrence of squeal depends on numerous phenomena still relativelyunknown. Furthermore, squeal is affected by several factors on both the micro and macro scales. Thepresent paper proposes some potential interactions between stiffness heterogeneities of the contact surfaceand the potential for triggering the squeal.

Consequently, an analytical model has also been developed to highlight the impact of certain parameterson the squeal phenomenon. The contact surface has been modeled by connecting the disc withthe pad via distributed springs (contact stiffness). From this model, a static equilibrium and a complexmodal analysis were performed to determine respectively the pressure distribution and the natural frequenciesof the system.

In this configuration, the results demonstrate that the introduction of heterogeneities could change thedynamic behavior of the system. Moreover, the influence of the size of the heterogeneities was studiedand results show that this parameter had an influence on the likelihood of squeal occurrence. The paperalso points out a heterogeneities correlation length that is reasonable to consider for this special configuration.Such information is relevant when interpreting the occurrence of noise as a function to the sizesof the components of the brake pad and the morphology of the surfaces in contact.

Keywords:Friction-induced vibration；Complex modal analysis；Heterogeneity stiffness contact；Effect of heterogeneity size

机械振动理论及工程应用目录

目录

摘要...................................................................................................................................................... I Abstract............................................................................................................................................. I I 第1章概述 .............................................................................................................................. - 1 -第2章半解析模型 ............................................................................................................ - 1 -

2.1 介绍 ................................................................................................................................ - 1 -

2.2 考虑均匀刚度分配的一个半解析模型的概述 ............................................... - 2 -第3章异构分布的刚度介绍 .. (5)

3.1异质刚度的引入过程 (5)

3.2 标准差的影响 (5)

3.3 不均匀面积大小的影响 (8)

3.4 摩擦系数分别为0.2和0.6的情况 (10)

第4章结论和展望 (11)

参考文献 (12)