The paper focuses on studying dynamic vibrations in a nondimensional field using a quarter-car model and governing equations. The analysis of vibrations is conducted in the frequency response domain considering both the no-contact and in-contact states. The study explores the limits of tire-road contact phenomena and identifies a series of separation points that form the separation boundary, which divides the plane into separation and contact zones. The study examines how suspension parameters influence the separation zone, aiming to offer valuable guidance to designers in making informed choices when selecting suspension parameters. The objective is to ensure the desired tire-road interaction, which ultimately improves vehicle dynamics and safety.