Quarter-Car Suspension Model with Double Spring

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.
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.

SNAPSHOTS

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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:
,
.
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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