TECHNOLOGY – SIMULATION

Equations 1

F

L = ! kb p

2

ka = initial coefficient of friction

kb = drop off of coefficient with load

Fz = load on the tyre 2

A l c p. = c p. =

P F

T Z

A .c p wt

Ac.p = contact patch area (m2) Fz = vertical load on the tyre (N)

wt = width of the tread (m) lcp = length of the contact patch (m)

3 µ= fn(P V T, L , s IN )T

u = coefficient of friction of the tyre

PL = local tyre pressure applied at the tyre

Vs = sliding velocity of the tyre

TINT = core temperature of the tyre

4 5

TC = fn F fn P RAD Z ΔFFFACT ΔFFFACT = _ ⋅ y ref _ ( ) ( )t

a _y cur − ay ref w adf

= change in force factor

ay_cur = measured lateral acceleration for the

change

ay_ref = measured lateral acceleration for the

base set up

wdf = weight distribution at the front

&#34;a 2D model gives you a

good broad brush stroke, but lacks fidelity&#34;

60 www.racecar-engineering.com • January 2012 Figure 2: an illustration of what you obtain from a 2D tyre model

Table 1: typical V8 Supercar set up Parameter

Value

Front roll centre Rear roll centre Front wheel rate Rear wheel rate

Front bar wheel rate Rear bar wheel rate Front track / rear track Front tyre spring rate Rear tyre spring rate c of g height

100mm 240mm 60N/mm 60N/mm 40N/mm 10N/mm

1.6m/1.6m 305N/mm 305N/mm 0.45m

y = k (1&#34; kb ! F ! 1

a z ) Fz

Figure 1: typical 2D tyre modelling correlation using ChassisSim

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