PECULIARITIES OF DETERMINATION THE SELF-ALIGNING TORQUE OF THE TIRE DURING MOVEMENT WITH SIDE SLIP

Anatolii  SOLTUS; Eduard  KLIMOV; Serhii  CHERNENKO; Andrii  CHERNYSH

doi:10.36910/conf_avto.v1i1.1392

Anatolii SOLTUS Doctor of Technical Sciences, Professor of Automobiles and Technologies of Their Operating Department, Cherkasy State Technological University http://orcid.org/0000-0002-6010-1124
Eduard KLIMOV PhD in Engineering, Associate Professor of Automobiles and Tractors Department, Kremenchuk Mykhailo Ostrohradskyi National University http://orcid.org/0000-0002-2662-2401
Serhii CHERNENKO PhD in Engineering, Associate Professor of Automobiles and Tractors Department, Kremenchuk Mykhailo Ostrohradskyi National University http://orcid.org/0000-0002-7670-5168
Andrii CHERNYSH PhD in Engineering, Associate Professor of Automobiles and Tractors Department, Kremenchuk Mykhailo Ostrohradskyi National University http://orcid.org/0000-0002-9711-827X

DOI: https://doi.org/10.36910/conf_avto.v1i1.1392

Keywords: vehicle, elastic wheel, slip, tire, self-aligning torque, support surface

Abstract

The movement of an elastic wheel with a side slip, which is determined by the angle between the velocity vector and the wheel disk, causes a lateral displacement of the disk relative to the tire contact patch. The displacement is formed during the time the point of the tire comes into contact with the support surface until it leaves it. During such movement, longitudinal and lateral reactions occur in the contact patch and reduce to the self-aligning torque and resultant force, applied in the centre of the contact patch. The self-aligning torque is developed if there are reactions in the plane of the tire contact patch and the displacement of their resultant relative to contact patch centre. At the same time, the forces and moments that developed in the contact patch depend on the state of the contact patch, which is characterized by the ratio of the adhesion and sliding zones in it. This contact patch state is determined by the values of the turning angles of the locked steered wheel during its static turn and depends on the coefficient of road adhesion and the type of tire. Analytical dependencies were obtained for determining the self-aligning torque depending on the slip angle in the range of zero to the slip angle at which the traction properties of the tire with the support surface are fully realized. When the traction properties are fully realized in the tire contact patch during the movement of the wheel with side slip, the self-aligning torque of the tire reaches zero, since the displacement of the resultant reactions relative to the centre of the contact patch goes to zero. At the same time, under the effect of longitudinal reactions, the self-aligning torque can acquire negative values at large slip angles.

Keywords: vehicle, elastic wheel, slip, tire, self-aligning torque, support surface.