In this paper, the authors discuss the development of a procedure for modeling the transient torsional loads on shafting systems induced by an ice impact sequence on Polar Class vessels propellers. The procedure was used to solve the transient torsional vibration using a lumped masses model of shafting systems driven by electric motors. After a description of the methodology and procedure used to model the vibratory behavior of a shafting system, the discussion will focus on a sensitivity analysis performed on the relevant parameters that allows a proper description of the shaft’s dynamics. The model has then been benchmarked and validated against the results from a finite element code, using an R-Class icebreaker from the Canadian Coast Guard as a case study. The results show promising outcomes for the assessment of the transient torque loads, and the model will be used in the future to aid the upcoming experimental activity.