Automotive disk brakes operation under certain conditions can cause disruptive and annoying noise and vibration phenomena into the vehicle cabin and its occupants. One of the main events is known as creep-groan, a typical low frequency structure-borne noise event, usually caused by an auto-induced and self-sustained phenomenon known as stick-slip. This work intents to contribute to the understanding and description of automotive brake disc/pads interface subject to stick-slip occurrence using different dynamical systems through diverse computational simulations. Starting from an elementary one-degree-of-freedom system, the study derives the governing equations and conditions for general stick-slip motion. The investigation progresses toward more realistic systems through radial, longitudinal, and combined matrix discretization models of brake pads. Each discretization approach reveals critical insights into multi-body interactions, frictional behavior, and torsional dynamics setting the stage for more robust computational simulations and improved understanding of low-frequency brake noise and vibration phenomena.