Quarter Car Suspension System Ross Neal
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: 80000 N/m Statement of Purpose
Differential Equation Model Mẍ=B(ẏ-ẋ)+K(y-x) Mẍ+Bẋ+Kx=Bẏ+Ky Model & Free Body Diagram Differential Equation Model
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
Matlab Simulink Model
Animation Implimentation: VPython
Animation
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