Abstract
The present paper is devoted to a theoretical analysis of sliding friction under the influence of oscillations perpendicular to the sliding plane. In contrast to previous works we analyze the influence of the stiffness of the tribological contact in detail and also consider the case of large oscillation amplitudes at which the contact is lost during a part of the oscillation period, so that the sample starts to “jump”. It is shown that the macroscopic coefficient of friction is a function of only two dimensionless parameters—a dimensionless sliding velocity and dimensionless oscillation amplitude. This function in turn depends on the shape of the contacting bodies. In the present paper, analysis is carried out for two shapes: a flat cylindrical punch and a parabolic shape. Here we consider “stiff systems”, where the contact stiffness is small compared with the stiffness of the system. The role of the system stiffness will be studied in more detail in a separate paper.
Highlights
The influence of vibration on friction is of profound practical importance [1]
After averaging over one period of oscillation, the macroscopic coefficient of friction was found by dividing the mean tangential force by the mean normal force
The dependences have two characteristic features: (a) the static force of friction— the starting point of the curve at zero velocity and (b) the critical velocity v 1 after which there is no further influence of oscillations on the macroscopic coefficient of friction
Summary
The influence of vibration on friction is of profound practical importance [1]. This phenomenon is used in wire drawing [2, 3], press forming [4] and many other technological applications. Studies of friction in stick-slip microdrives [17, 18] have shown that the static and dynamic behavior of drives can be completely understood and precisely described without any fitting parameters just by assuming that the characteristic length responsible for the “pre-slip” during tangential (in-plane) loading of a contact is equivalent to partial slip in a tangential contact of bodies with curved surfaces. This contactmechanical approach was substantiated in Ref. To our knowledge this case has not previously been considered in theoretical models
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