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416 Multibody Systems Approach to Vehicle Dynamics
M RRC
F RRCy
F FRCy
F FOy
Roll axis
cm
h
A y
M RRC
M FRC
F RRCy
K Tr
RC rear
F ROy
M FRC
F RIz
F RIy
F ROz
F FRCy K Tf
RC front
Z
X
F FIy
Y
F FO2
F FIz
Fig. 7.20
Forces and moments acting at the roll axis
will reduce weight transfer. Consider again a free-body diagram of the
body roll axis and the components of force acting at the front and rear roll
centres.
This gives:
F
F
FRCy
RRCy
ma
y
ma
y
⎛ b ⎞
⎝ a
b⎠
⎛ a ⎞
⎝ a
b⎠
(7.21)
(7.22)
From equations (7.21) and (7.22) we can see that moving the body centre
of mass forward would increase the force, and hence weight transfer,
reacted through the front roll centre (and vice versa). We can now proceed
to find the additional components, F FzL and F RzL , of weight transfer due
to the lateral forces transmitted through the roll centres.