Testing the assumption of linear dependence between the rolling friction torque and normal force

Stelian Alaci,Daniel Fodorcan,Dumitru Amarandei,Marian-Adrian Popescu,Florina-Carmen Ciornei,Luminita Irimescu,L Slătineanu,G Nagit,R Ibanescu,A.M Mihalache,M Coteata,P Kyratsis,O Dodun,C.E Panait,G Oancea,M Boca,V Merticaru,M.I Ripanu

doi:10.1051/matecconf/201711207002

Abstract

Rolling friction is present in all nonconforming bodies in contact. A permanent topic is the characterization of the moment of rolling friction. A number of authors accept the hypothesis of linear dependency between the rolling torque and the normal force while other researchers disagree with this assumption. The present paper proposes a method for testing the hypothesis of linear relationship between rolling moment and normal pressing force. A doubly supported cycloidal pendulum is used in two situations: symmetrically and asymmetrically supported, respectively. Under the hypothesis of a linear relationship, the motions of the pendulum should be identical.

Highlights

The interaction between two solid bodies can be accomplished in two ways: by direct contact or via a field
A number of authors accept the hypothesis of linear dependency between the rolling torque and the normal force while other researchers disagree with this assumption
The present paper proposes a method for testing the hypothesis of linear relationship between rolling moment and normal pressing force

Summary

Introduction

The interaction between two solid bodies can be accomplished in two ways: by direct contact or via a field. The characterization of the components specific to friction, T , Mr and M s is currently an open subject, still Another remark to be considered concerns the dimensions of the contact region. In the technical literature there are presented expressions of the three components of friction torsor depending on the normal pressing force N and on the characteristics of the relative motion between the two bodies. The spin torque depends on normal pressing force at a power law, the exponent depending on the pressure distribution on contact area. In the present paper an answer is sought concerning the linear dependency between the rolling friction torque and normal force. An affirmative answer to this question would substantially simplify the model of dynamical behaviour of a mechanical system where rolling friction is encountered since the linear dependency should conduct to linear differential equations

Principle of method

Experimental set-up

Conclusions