Possibilities of dimension method for modeling of tribosystems with lubricating layer

Abstract

This paper shows the possibilities of applying similarity and dimensionality methods for mathematical modelling of tribosystem — a friction pair in which, in addition to solid surfaces, there is a multi-component lubricant.
Multifactorial tribological phenomena often cannot be described using formal laws, the models we propose allow us to carry out studies of such processes. The essence of the method is that the dependent variable — in this case, stationary wear of friction surfaces — is represented as a set of independent (or weakly dependent) variables.
Two basic theorems of the method of dimension analysis were applied to the general model: the theorem on the dimensionality of quantities in the system of basic dimensions of mechanics and Buckingham’s theorem on finding the number of dimensionless complexes.
The possibility of reducing the number of model variables and forming a system of new, simpler models, which allow to describe the process explicitly, was shown.