Abstract
A unified model for active control of static and sliding friction by normal, tangential and transverse oscillations is discussed, building on a series of past publications. The model in question is quasi-static, uses Amontons friction and takes into account contact stiffness in both normal and tangential directions. This makes the model fully macroscopic, which stands in contrast to Prandtl-Tomlinson-derived microscopic models that seem to be the currently preferred explanation for the influence of vibration on friction. While many technical details and numerical simulations based on our model have already appeared in a series of publications, here we attempt to give a high-level overview and discuss the main properties of friction under oscillation as generally as possible, while making a minimum of assumptions.
Highlights
The fact that vibration can be used to significantly reduce the force of friction has been known since at least the 1950s (Fridman and Levesque, 1959)
There are a number of advanced applications that move beyond simple reduction of sliding or static friction, and involve vibration-driven directed transport or exact positioning (Popov, 2017)
Similar principles are employed in high-precision linear actuators and positioning systems (Socoliuc et al, 2006), vibrational conveyors (Gaberson, 1971, 1972), and other types stick-slip drives
Summary
The fact that vibration can be used to significantly reduce the force of friction has been known since at least the 1950s (Fridman and Levesque, 1959). There is a large body of existing research in this field (see e.g., Pohlman and Lehfeldt, 1966; Godfrey, 1967; Storck et al, 2002; Chowdhury and Helali, 2008) Most of it is practical in nature, even though several well-known theoretical models have been proposed as well (De Wit et al, 1995). It is likely to be the simplest possible model that is rich enough to describe almost the full range of behaviors exhibited by friction under the influence of external vibration For this reason, the present paper can be seen as an exercise in minimalism, attempting to cover as much phenomenological ground as possible with a minimum of assumptions and variables
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
