S Talebi - Department of Mechanical Engineering, University of Isfahan, Isfahan, Ira
A Ariaei - Department of Mechanical Engineering, Faculty of Engineering, University of Isfahan, Iran
K Hasanpour - Department of Mechanical Engineering, Faculty of Engineering, University of Isfahan, Iran

In this paper, the investigate vibrations of a nonrotating and rotating tire at constant speed without slipping in the contact area with differential transform method (DTM). A previously proposed analytical model of a reinforced tire is considered. The surface of the tireis represented by flexible tread , combined with parts of two sidewalls of the tire. The contact between the wheel and the ground plane occurs by the part of the tread. The natural frequencies and mode shapes are determined analytically for unloaded and loaded tire. The results were for the non-rotating tire compared with experiments in other articles. It is seen that the numerical results have a suitable agreement with the experimental data. Then , the effect of the tire angular velocity on its natural frequencies is investigated. In thecase of loaded rotating tire, the increasing of the angular velocity of rotation implies that natural frequencies decrease.

natural frequency, mode shape, tire, angular velocity, DTM.