4569846498
Simulation output and interpretation 417 RC rear F FzM component of weight transfer on front tyres due to roll moment F RzM component of weight transfer on rear tyres due to roll moment Outer wheels F RzM RC front M RRC M t FRC F r RzM Inner wheels Z Y X F FzM t f F FzM Fig. 7.21 Components of weight transfer due to roll moment F RRCy Roll axis cm b h A y a F FRCy Fig. 7.22 Forces acting on the body roll axis
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)
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Simulation output and interpretation 417<br />
RC rear<br />
F FzM component of weight<br />
transfer on front tyres due to<br />
roll moment<br />
F RzM component of weight<br />
transfer on rear tyres due to<br />
roll moment<br />
Outer wheels<br />
F RzM<br />
RC front<br />
M RRC<br />
M<br />
t FRC<br />
F r<br />
RzM<br />
Inner wheels<br />
Z<br />
Y<br />
X<br />
F FzM<br />
t f<br />
F FzM<br />
Fig. 7.21<br />
Components of weight transfer due to roll moment<br />
F RRCy<br />
Roll axis<br />
cm<br />
b<br />
h<br />
A y<br />
a<br />
F FRCy<br />
Fig. 7.22<br />
Forces acting on the body roll axis