Influence of Surface Topography Characteristics on Mode Coupling Instability System

Abstract

Abstract： Aiming at the lack of theoretical research with the surface morphology characteristics affect the stability of modal coupling system by friction and the structure of the system caused. An attempt is to explain the dynamic characteristics of the macroscopic system from the microscopic view. The more accurate model of normal and tangential contact stiffness of surface topography is established based on fractal theory. With the vehicle brake disc as the object, a typical mode coupling model with two degrees of freedom is presented and the fractal contact stiffness model is introduced. The influence of the tangential and normal stiffness ratio, friction coefficient, and the natural frequency ratio on the stability of system and the conditions of the different frequency noise arise are studied. It is concluded that these contact topography parameters are the main factors to influence the vibration noise ; the vibration noise condition and the frequency of the system are different with the different characteristics of the surface topography.The conclusions obtained may help us more deeply understand the influence of the surface topography on the macroscopic system. At the same time, it can provide reference for engineering design and manufacture, and has a certain engineering significance.Key words：fractal theory；joint surface topography；mode coupling；instability；friction-induced vibration 0 前言 1

Tangential Contact Stiffness Model of Solid-Liquid Interface Under Mixed Lubrication

“…There are a large number of mixed lubrication bonding surfaces in the core basic parts of mechanical transmission represented by gears, bearings and guideways [1], and their contact stiffness is one of the most important parameters used to describe the characteristics of the bonding surface. The change of contact stiffness directly affects the static and dynamic characteristics of the joint and the mechanical equipment system, including contact pressure distribution, vibration and noise response characteristics, fatigue and wear characteristics and working stability [2][3][4][5]. Therefore, the accurate calculation of tangential contact stiffness of solid-liquid interface under mixed lubrication is very important for the performance analysis and prediction of mechanical structure and system.…”

Dynamic Tangential Contact Stiffness and Damping Model of the Solid–Liquid Interface

“…For example, gears, rolling bearings, cams, etc., at low speed, during start-stop, or under impact load are in the state of mixed elastohydrodynamic lubrication [1]; the linear-motion rolling guide pair in CNC machine tools is in a mixed-lubrication state when the slippage speed is 0.001~1 m/s [2]. The results of the research show that static and dynamic characteristics of mechanical systems, such as vibration and noise characteristics, fatigue and wear characteristics, contact pressure distribution, and working stability, are directly affected by the variation of contact stiffness and damping [3][4][5]. The contact state of the solid-liquid interface in the state of mixed lubrication is complex, so it is difficult to obtain the contact stiffness and damping parameters in actual operation.…”

A Normal Contact Stiffness Statistical Model of Joint Interface considering Hardness Changes

“…However, the common feature of all kinds of complicated contact interfaces is that surfaces in contact with each other have rough topography. And the contact sti ness is one of the most important parameters describing interface features, whose changes directly a ect interfaces and static characteristics and dynamic characteristics of mechanical equipment system, including fatigue and wear, vibration noise response, contact pressure distribution, and work stability [1][2][3]. So, the accurate modeling of the normal contact sti ness of joint interface is very important for the performance analysis of mechanical equipment.…”