MEAM 22 Modelling and Simulation How can nonlinear friction dynamics cause self-excited oscillations in real mechanical systems, and how can this behavior be accurately modeled and simulated in MATLAB/Simulink.

Using a stick–slip mass–spring system on a moving conveyor, develop a simulation model that captures the transition between static and dynamic friction. Derive the governing equation of motion and implement a friction model that depends on relative velocity. Analyze how system parameters (spring constant, mass, friction levels, conveyor speed) influence oscillation amplitude and frequency, and visualize both displacement and velocity over time.