Theoretical Investigations on Dimensional Analysis of Ball Bearing Parameters by Using Buckingham Pi-Theorem

Abstract

Dimensional analysis is a very powerful and general tool for use in analysing and understanding problems in engineering and in particular, in mechanics and transport phenomena. The main objective of the present work is to study the characteristics of various bearing parameters under low, medium and high temperatures conditions. Dimensional analysis is useful computing dimensionless parameters and provides answer to what group of parameters that affecting the problem. This Dimensional analysis can be accomplished by using Buckingham π-theorem. Dimensional analysis leads to a reduction of the number of independent parameters involved in a problem. These independent parameters get expressed as dimensionless groups. These dimensionless groups are always ratios of important physical quantities involved in the problem of interest. In modelling and experiment, its main function is to reduce the amount of independent variables, to simplify the solution and to generalize the results thereof. It can become an effective method, especially if a complete mathematical model of the investigated process is not known. The present work also attempts the application of Buckingham pi-theorem to find what parameters are influencing the bearing system and using dimensionless parameters the characteristics are studied.