Study on steering wheel shimmy with clearance of kingpin

The non-linear factors of tyre lateral force and contact-impact force of kingpin clearance are considered in this paper. They are brought in the shimmy model by the tyre magic formula and dynamic model of a two-state clearance mechanism. The non-linear mathematical model of steering wheel shimmy with non-independent suspension is established by using Lagrange equation method. And the influences of different initial incentives and parameters are numerically investigated. The simulation results indicate that the clearance of kingpin can increase the amplitude of steering wheel shimmy, the speed range become larger, and the non-sensitive parameters may have an impact on the steering wheel shimmy.