This
model was created to approximate the
transient heating of a brake rotor on a
vehicle with gross weight 2000 kg . A Mathcad®
worksheet was used to quickly approximate
the kinetic energy of the vehicle (view PDF). The kinetic energy of the vehicle was averaged over a 6-second stop from 60-miles/hr. The front brakes were assumed to perform 70% of the total braking, evenly split between the two front brakes, and again, this quantity evenly imposed on each side of the rotor. The resulting energy input to the brake rotor was thus averaged to 21 kw over a 6-second stop. 10 sequential stops were simulated. Each stop was preceded by a 30-second acceleration to 60 mph. Each stop was followed by a 24-second rest before acceleration. The convection rates were roughly chosen to be 50 w/m^2*k while the vehicle was at full speed, and 10w/m^2*k when at rest. These values are not meant to represent an actual case study, but rather to illustrate how a brake system and the surrounding components can be modeled with energy inputs, convection curves, and 3-layer parts.
For
example, this image shows
localized heating of a tie rod
grease
seal.
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