Friction-Induced Stick-Slip Vibrations: Modeling and System Parameter Analysis: Stick-Slip Vibrations

The book describes the problem of dynamic behaviour of a mass being dragged on a dry surface is studied in detail in the light of proposed sigmoid and exponential function family based stiction model. The objective of this work is to identify relevant parameters and determine their range in which the dynamic behaviour of the system is optimum or acceptable. Numerical simulation is used to investigate this range using a model that consists of a spring-mass system being pulled on a rough surface at constant velocity with and without viscous damping. Relevant parameters such as stiffness, damping ratio, driving velocity, and the ratio of static to kinetic friction are varied to conduct the investigation. The range of these parameters and their combinations that result in the least number of friction-induced disturbances while a mass is being pulled on a rough surface at a constant speed is the study's conclusion. The response of the system for different set of combination of the systems parameters are obtained in form of displacement and velocity v/s time plots and the results are tabulated for different characteristics of motion like velocity peak, freezing time, frequency of vibration, sticking time, ratio of sticking time to total time for a cycle percentage amplitude decay in velocity etc. It is concluded that Damping has a negative effect on stick-slip since it reduces sticking time exponentially with increasing damping ratio; yet it can be used to reduce viscous friction even at the expense of power loss. Sticking time increases linearly with an increase in the Fs/Fc ratio; so, stick-slip is encouraged by a low Fs/Fc ratio, which should be maintained to completely remove stick-slip from the system. This might be achieved by inserting certain unique materials in between the rubbing surfaces, although doing so could raise material costs. Driving the system at a faster velocity can reduce stick-slip since the sticking time lowers as driving velocity increases. Ho