This study presents the modelling, simulation, and analysis of mechanical transmission systems with a focus on their application in electromechanical drive environments. By developing a lumped parameter model, the research investigates the dynamic interactions between gear elements specifically torque ripple, mesh stiffness variation, and damping characteristics. Using MATLAB/Simulink, the complete drivetrain was simulated under a range of load and speed conditions to evaluate stability, vibration behavior, and control responsiveness. Results indicate that time-varying stiffness and gear backlash are primary contributors to transmission instability, while effective damping and PI-based control substantially mitigate oscillations and shift shocks. The findings offer critical insights for the design and control of efficient, quiet, and reliable gear systems, particularly for hybrid and electric vehicle platforms. Future integration with experimental validation and real-time adaptive control is proposed to enhance real-world applicability.