In this study, shimmy of a nose landing gear model with torsional degree of freedom is analyzed. Equations governing the torsional nose landing gear model and the stretched string tire model are presented. Freeplay is incorporated into the model. A magnetorheological (MR) damper modeled using the current–dependent Bouc–Wen model is introduced to the torsional landing gear model with and without freeplay. Parameter identification of the Bouc–Wen model is accomplished using genetic algorithms. Incorporation of an MR damper into the landing gear model with and without freeplay is the advantage in this study. Implementation of the current–dependent Bouc–Wen model in such a landing gear model is another brand new concept.