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Quarter-Car Suspension Model with Double Spring

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The quarter-car suspension model simulates a double-spring mass system. The mass attached to the spring represents the body of the car while the free mass represents the wheel, tire, and suspension.

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The effect of an input from a single road hump or from a continuous sinusoidal input are simulated with graphical and animated representation of the system response. You can control the masses, stiffness, and damping for each spring and the input data.

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Contributed by: Jon Neades (January 2014)
Open content licensed under CC BY-NC-SA

Snapshots

Details

Snapshot 1: single road hump response from a system using typical parameters

Snapshot 2: response of an underdamped system to a single road hump

Snapshot 3: response to continuous input at resonant frequency of mass attached to spring

Snapshot 4: interference effects with no damping

The Demonstration solves the two second-order differential equations that describe a double-spring system:

,

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The forcing function is modeled as either a single cosine shaped bump, such as a road speed hump, or a continuous sinusoidal input. A numerical solution is employed to show the evolution of the system.

This Demonstration was inspired by "Simulating Vehicle Suspension with a Simplified Quarter-Car Model" by Erik Mahieu.

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