Article

Received 06.10.2022

Revised 10.03.2023

Accepted 30.03.2023

Retrieved from Vol. 27, No. 1, 2023

Pages 247 -261

Soltus, А., Klimov, Е., Taranduska, L., & Kostian, N. (2023). To the question of determination of the tire self-aligning torque. The National Transport University Bulletin, 27(1), 247-261. https://doi.org/10.33744/2308-6645-2023-1-55-247-261

To the question of determination of the tire self-aligning torque

А. Soltus Е. Klimov L. Taranduska N. Kostian

The paper presents the results of research on the tire self-aligning torque during the movement of an elastic wheel with a side slip, which is caused by curvilinear trajectory, the lateral forces action, the wheel camber, and convergence presence. The object of study is tire self-aligning torque. The purpose of the work is to determine the specifics of calculating the tire self-aligning torque and the lateral force during the rolling of the wheel with the slip angle. The research method is analytical and experimental. Tire self-aligning torque occurs while rolling the wheel with slip angle if lateral and longitudinal reactions of a bearing surface are available, the resultant value of which is shifted concerning the centre of the tire contact patch. When a wheel with slip angle is running in parallel and steering, the wheel disc lateral movement concerning the tire contact patch occurs from the moment the tire point comes into contact with the bearing surface until the point of contact exits. When the wheel is moving in a circle, the wheel disc is twisted and laterally displaced relative to the tire contact patch for the time it takes the wheel to travel halfway along the longitudinal axis of the contact contact patch. Lateral displacement of the disc during the movement along the curvilinear trajectory causes the wheel to roll with a slip angle, which is commonly referred to as "kinematic". The circular movement of the wheel studied in this work demonstrated that the lateral force equilibrium passes through the contact patch centre, so that there is no shift of the lateral force equilibrium and no tire self-aligning torque occurs. The dependences for the determination of the tire self-aligning torque and lateral force are analyzed. It is established that they depend on the reactions that occur in the tire contact with the bearing surface during the rolling of the wheel with the slip angle, which are caused by the state of the tire contact patch. The state of the contact patch, which is formed by the grip and slip zones in it, is determined by the values of the steering angles of the locked steered wheel in static, at which only the grip zone, the grip and slip zone or only the slip zone are in contact. Taking into account the state of the tire contact patch, analytical dependences for determining the lateral force and tire self-aligning torque during rolling with slip angle were obtained, which allow determining the tire self-aligning torque within the change of the slip angle from zero to the slip angle at which the traction properties in the tire contact patch are fully realized. The results of the research can be useful for experts working on improving the operational properties of wheeled vehicles, in particular steerability and stability of motion.

 

tire self-aligning torque; cornering force; slip angle; curcular motion; grip and slip zones
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https://doi.org/10.33744/2308-6645-2023-1-55-247-261