For vehicles equipped with ordinary bevel gear differentials, when one side of the driving wheel slips due to reduced friction coefficient, the vehicle is prone to insufficient power and cannot move forward. To address this issue, non circular gear differentials can sense wheel slip and achieve rapid disengagement without the use of any mechanical or electronic systems.

Taking the most basic two wheel drive vehicles as the research object, the differential is placed between the two drive wheels. By studying the dynamics of vehicle disengagement driven by non circular gear differential, the dynamic anti slip mechanism of non circular gear differential is revealed. This method is also applicable to four-wheel drive vehicles with variable transmission ratio differential installed between axles.
Firstly, a motion model of a non circular gear differential is established, and then an expression for the traction force when one side of the driving wheel slips is derived based on advanced dynamics theory. Finally, a dynamic model of the entire vehicle is constructed.