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Harvard
Subject:
Engineering
Type:
Math Problem
Language:
English (U.S.)
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# Research And Describe Car Braking System Modeling & Control (Math Problem Sample)

Instructions:

The task was to solve some design math problems.

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Content:

CAR BRAKING SYSTEM MODELLING & CONTROL
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Display1sGain K+_Input signal (ft)
* Response to step input.
Generally,
so
Thus we can write the general form of the unit step response as:
Â
* Limitations of K
K is subject to changes in the spring stiffness.
The friction also affects the value of K
QUESTION TWO
* The wheel is like a torus; a hollow cylinder
* Jw dwdt=FxRw-Tb Taking the right hand side, we know:
J w=Tb-Ta rolling resistance neglected
But Ta=FxRw and Fx=ÂµFz
Combining these equations
Jw =Tb- FxRw
Differentiating with respect to t we get:
Jw dwdt=FxRw-Tb
C. We know that Fzf=m*gLr*+axhLr+Lf
And Fzr=m*gLf*+axhLr+Lf
But Lr is the distance from the centre of gravity of the vehicle to the centre of the rear wheels
And Lf the distance from the centre of gravity of the vehicle to the centre of the front wheels
But Lf= Lr therefore:
Fzr=Fzf
The stopping distance of a vehicle can be calculated using a number of formulaeâ€™s dependent on the nature of the braking system. Fd=1/2mv2 mad=1/2mv2 d=v2/2a
158115029845D.
Using the above model of a car breaking system
For the stopping distance dx= u2/2a