EXTRA

Question 1

When will a vehicle experience pure bounce excitation?

Answer 1

If it is traveling down a sinusoidal road profile, and a whole number of wavelengths nλ fit in the wheelbase L

Question 2

When will a vehicle experience pure pitch excitation?

Answer 2

If it is traveling down a sinusoidal road profile, and a whole number PLUS A HALF (n+0.5)λ wavelengths fit in the wheelbase L

Question 3

What is the common way to get rid of a modulus notation and a complex number?

Answer 3

Square the term and then square root it. Remember that the complex term when squared is equal to the real part squared plus the imaginary part squared.

Question 4

For a first order differential equation, what does the coefficient of the dx/dt term represent (when the coefficient for the x term is just 1)?

Answer 4

The time constant

Question 5

What is the pneumatic trail?

Answer 5

The pneumatic trail is the distance of the centre of pressure from the centre of the contact patch

Question 6

What is the equation for q^2, and what does it represent?

Answer 6

q^2 = a^2 Cf + b^2 Cr / Cf + Cr

It represents the “yaw stiffness radius”

Question 7

What are the 5 abbreviations that are used to simplify the equations of motion found from the bicycle model?

Answer 7

c = Cf + Cr 
s = aCf - bCr / Cf + Cr 
q^2 = a^2 Cf + b^2 Cr / Cf + Cr 
l = a+b
I = mk^2

Question 8

What is the difference between the αf and αr equations?

Answer 8

There is no steer angle at the rear

Question 9

What components add to make the lateral velocity of a tyre for the bicycle model?

Answer 9

The component from the lateral velocity of the COG and that from the rotation of the vehicle