摘要

The driveline for a tractor vehicle is simplified as a 2-DOFs(degree of freedom) torsional vibration system, and is described as a second-order differential equation. Based on Poincare-Bendixson annulus theorem, the differential equation is proved to have a limit circle by constructing the interior and exterior boundaries when two algebraic inequalities are satisfied. Thus, the conditions which ensure the self-existed torsional vibration are put forward. Numerical solutions denote that the amplitude of the self-excited torsional vibration is related to the initial slip rate. At last, it is put forward that the severe self-excited torsional vibration due to any range of initial slip rate can be avoided by increasing the torsional damping of the driveline.

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