Dynamics of Automobile Suspension Systems

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This Demonstration considers a quarter vehicle model comprising a tire, spring, damper and body mass. The plots represent the vertical displacements (m) of both the body mass and the unsprung mass (tire).


The system can be represented by two equations of motion:



As increases, the oscillating response increases in both magnitude and duration. Damping causes the system to eventually settle at 0. Specific parameters for a vehicle determine its response to various road conditions.


Contributed by: Amir Sweis and Joshua Steimel (August 2022)
Open content licensed under CC BY-NC-SA



Snapshot 1: hard damping

Snapshot 2: weak dampening

Snapshot 3: long time behavior


[1] S. Lajqi and S. Pehan, "Designs and Optimizations of Active and Semi-active Nonlinear Suspension Systems for a Terrain Vehicle," Strojniški vestnik - Journal of Mechanical Engineering, 58(12), 2012 pp. 732–743. doi:10.5545/sv-jme.2012.776.

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