Progress in Machines and Systems Sulaymon Eshkabilov 5 2 2016 This paper presents reviews of numerical simulation models of non-linear and hysteresis behaviors of magneto-rheological liquiddampers in MATLAB®/Simulink® in the example of quarter-car model of vehicle suspensionsimulation, such as, Bingham, Dahl, LuGre and Ben-Wouc models.In addition, it discusses numerical results from simulation models for four different input excitations from terrain in order to analyze system performances in terms of car body displacement.