The crankshaft of an internal combustion engine represents an elastic system that is susceptible to deformations due to the effects of external forces and moments. The forces and the resulting torsional moments that stress the crankshaft during engine operation are periodic in nature, which causes torsional oscillations of the crankshaft. As a result of torsional oscillations, the crankshaft undergoes additional stresses. In some cases, these stresses can far exceed permissible values, which is why they must be checked during the engine design phase. Exceptionally intense torsional oscillations are particularly common in long shafts, as well as those shafts that are subjected to periodically varying torsional moments of extremely large amplitude. This paper will analyze the process of torsional oscillation of the crankshaft of a special-purpose engine, characterized by both of the mentioned parameters, which, among others, negatively affect the additional stresses on the crankshaft due to torsional oscillations. Additionally, the paper will analyze the methods by which it is possible to reduce the amplitudes of oscillations if necessary.