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418 Multibody Systems Approach to Vehicle Dynamics
F RRCy
RC rear
h r
F FzL component of weight
transfer on front tyres due to
lateral force
F RzL component of weight
transfer on rear tyres due to
lateral force
F RzL
Outer wheels
F RzL
t r
RC front
F FRCy
Inner wheels
h f
F FzL
t f
F FzL
Fig. 7.23
Components of weight transfer due to lateral force
Taking moments again for each of the front and rear axles shown in
Figure 7.23 gives:
⎛ hf
⎞
b
F
F
ma
h
⎛ ⎞⎛
hf
⎞
FzL FRCy ⎜
y
⎝ t
⎟
f ⎠ ⎝ a
b⎠⎜
⎝ t
⎟
f ⎠
(7.23)
⎛ hr
⎞
a
F
F
ma
h
⎛ ⎞⎛
h ⎞
RzL RRCy ⎜ ⎟ y
⎝ t ⎠ ⎝ a
b⎠⎜
⎟
⎝ t ⎠
(7.24)
It can be seen from equations (7.23) and (7.24) that if the front roll centre
height h f is increased there will be more weight transfer at the front (and
vice versa).
We can now find the resulting load shown in Figure 7.24 acting on each
tyre by adding or subtracting the components of weight transfer to the front
and rear static tyre loads (F FSz and F RSz ).
This gives:
FFIz FFSz FFzM FFzL
(7.25)
FFOz FFSz FFzM FFzL
FRIz FRSz FRzM FRzL
FROz FRSz FRzM FRzL
r
r
r
(7.26)
(7.27)
(7.28)