Calculation of the Friction Coefficient between a Steady Elastic Wheel and a Solid Support Surface in the Presence of a Lateral Force

In this article a new universal technique for the mathematical determination of the friction coefficient between a steady elastic wheel and a solid support surface is proposed. The technique is valid when there is a lateral force that occurs before or after the braking on the wheel. It is based on the computation of the relative limiting realized static friction and may be applied when there is a lack in initial data in the form of the primary phi(x)-s(x) interaction diagram of a specific wheel and a specific support surface. The results of the work improve the accuracy of friction coefficient modeling in the design-stage prediction of the stability, controllability, and braking dynamic properties of wheeled vehicles.