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Harvard

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Engineering

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Math Problem

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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.

source..Content:

CAR BRAKING SYSTEM MODELLING & CONTROL

Name:

Institutional Affiliation:

* Simulink model

Display1sGain K+_Input signal (ft)

* Response to step input.

Generally,

so

We now note several features about this equation, namely

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

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