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Quarter Car Suspension System
Ross Neal
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I would like to find out the speed in which a car resonates given conditions:
Weight of car: 2500 Kg Dampening constant: 350 Kg/s Spring constant: N/m Statement of Purpose
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Differential Equation Model
Mẍ=B(ẏ-ẋ)+K(y-x) Mẍ+Bẋ+Kx=Bẏ+Ky Model & Free Body Diagram Differential Equation Model
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Working out Speed of Car
Translating translational speed of car to frequency of oscillations of road: Calculate speed of Resonance: (y:road bumps per meter) 3 mph = 1.4 m/s = Working out Speed of Car
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Matlab Simulink Model
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Animation Implimentation: VPython
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Animation
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Given the simple nature of the Model, there can be several improvements:
Add secondary spring-dampener system to simulate inflated rubber tires Model ½ or full suspension of car Allow car to tilt with road Make road less wavy and more bumpy (increase frequency of bumps) Further Improvements
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