In this paper, regenerative chatter vibrations in orthogonal cutting process are simulated using MSC ADAMS software for the first time. To this end, the governing differential equation of the system's vibrations, caused by wave regeneration mechanism in the presence of process damping and by incorporating velocity- and acceleration-dependent terms, is first derived. The excitation force terms in this equation are then classified into three categories: the excitation force due to static chip thickness, the self-excited force resulting from the difference between the current and previous waves formed on the workpiece (expressed as a delay term), and the frictional force due to process damping, which is a function of the vibration velocity, acceleration, and spindle speed. Subsequently, by developing a vibrational model of the process in ADAMS software, and through an innovative approach using the software’s internal functions, all components of the excitation force, including the static, delayed self-excited, and process damping frictional forces, are applied as external forces to the system. Through simulations, time responses of the system's vibrations are extracted with and without the effect of process damping, across stable, critically-stable, and unstable conditions. Comparison of the simulation results with those obtained from numerical solutions of the equations using semi-discretization method shows excellent agreement. In addition, the behavior of the system predicted by the proposed model is validated through comparison with experimental data reported in previous studies. The developed model, while easy to implement, offers extensibility for simulating more complex chatter scenarios in machining processes.