Theoretical Tire Equations for Shimmy and Other Dynamic Studies

Abstract

Equations are developed which relate ground force and torque on the tire to arbitrary swivel angle and lateral displacement of the wheel rim plane. The theory postulates the string model for the tire since it has predicted behavior substantiated in many respects by experimental results. Approximations to the string model itself are made, such that the development leads to linear, constant coefficient differential equations identical in form to an empirical set obtained in an earlier paper. Theoretical frequency responses compare favorably with experimental data.