4569846498
Modelling and analysis of suspension systems 245 Locate C A B I {R CB } 1 {R CI } 1 {R CA } C 1 Data required {R A } 1 {R B } 1 {R I } 1 |R CA | |R CB | |R CI | Locate D A B C {R DB } 1 D Data required {R A } 1 {R B } 1 {R C} 1 |R DA | |R DB | |R DC | {R DA } 1 Locate G D F {R DC} 1 {R GD} 1 {R GF } 1 Data required {R D } 1 {R E } 1 {R F } 1 |R GD | |R GE | |R GF | E {R GE } 1 G Locate H J D {R HJ } 1 {R HG} 1 {R HD} 1 H Data required {R D} 1 {R G} 1 {R J } 1 |R HD | |R HG | |R HJ | G Locate P D H Data required {R D} 1 {R G} 1 {R H} 1 {R PD} 1 {R PH} 1 |R PD | |R PG | |R PH | G {R PG} 1 P Fig. 4.81 Calculation sequence to solve double wishbone suspension geometry The length between each of the three reference points and the movable point must also be fixed and known. This will only work if the movable point lies on the same rigid body as each of the reference points. In addition to locating the movable points just described we will also need to determine the new positions K and L of the two points located on the wheel spin axis as shown in Figure 4.82. These two positions will be used with the starting locations K and L to determine the change in steer and camber angle between the two suspension configurations. Having followed the process outlined here we obtain the new positions shown in Table 4.15. The results obtained using vector theory are compared
246 Multibody Systems Approach to Vehicle Dynamics H Locate K D {R K H} 1 {R K D} 1 {R K G} 1 K Data required {R D } 1 {R G } 1 {R H } 1 |R KD | |R KG | |R KH | G H Locate L D {R L D} 1 {R L H} 1 L Data required {R D } 1 {R G } 1 {R H } 1 |R LD | |R LG | |R LH | G {R L G} 1 Figure 4.82 Location of points K and L on the wheel spin axis Table 4.15 Point Comparison of movable point locations computed by theory and MSC.ADAMS Suspension position vectors Theory MSC.ADAMS R x (mm) R y (mm) R z (mm) R x (mm) R y (mm) R z (mm) C 18.133 476.250 204.752 18.133 476.250 204.753 D 21.719 534.601 286.699 21.721 534.604 286.696 G 7.0 573.627 73.087 7.0 573.629 73.084 H 168.982 493.368 330.131 168.984 493.371 330.127 P 8.978 638.864 100.491 8.979 638.867 100.494 K 4.232 550.301 160.835 4.233 550.305 160.832 L 1.781 628.197 164.076 1.783 628.199 164.073 with those from the equivalent MSC.ADAMS model where a motion input has been used to shorten the strut by 100 mm. Having calculated the new positions of all the movable nodes the movement of the tyre contact patch, in this case taken to be point P, could be used to establish, for example, the lateral movement or half-track change. Referring back to Chapter 2 we can also use the methods described there to determine the bump steer as shown in Figure 4.83. The change in steer angle or bump steer can be determined by finding the angle between the projection of KL and KL onto the global X 1 Y 1 plane. The projection is achieved after setting the z co-ordinates of all four position vectors to zero and then applying the vector dot product as shown in equation (4.352): cos {R KL } 1 • {R KL }/|R KL | |R KL | (4.352) The change in camber angle is obtained in a similar manner where the projection this time takes place in the global Y 1 Z 1 plane by setting all the x co-ordinates to zero.
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Modelling and analysis of suspension systems 245<br />
Locate C<br />
A<br />
B<br />
I<br />
{R CB } 1<br />
{R CI } 1<br />
{R CA } C<br />
1<br />
Data required<br />
{R A } 1 {R B } 1 {R I } 1<br />
|R CA | |R CB | |R CI |<br />
Locate D<br />
A<br />
B<br />
C<br />
{R DB } 1<br />
D<br />
Data required<br />
{R A } 1 {R B } 1 {R C} 1<br />
|R DA | |R DB | |R DC |<br />
{R DA } 1<br />
Locate G<br />
D<br />
F<br />
{R DC} 1<br />
{R GD} 1<br />
{R GF } 1<br />
Data required<br />
{R D } 1 {R E } 1 {R F } 1<br />
|R GD | |R GE | |R GF |<br />
E<br />
{R GE } 1<br />
G<br />
Locate H<br />
J<br />
D<br />
{R HJ } 1<br />
{R HG} 1<br />
{R HD} 1<br />
H<br />
Data required<br />
{R D} 1 {R G} 1 {R J } 1<br />
|R HD | |R HG | |R HJ |<br />
G<br />
Locate P<br />
D<br />
H<br />
Data required<br />
{R D} 1 {R G} 1 {R H} 1<br />
{R PD} 1<br />
{R PH} 1<br />
|R PD | |R PG | |R PH |<br />
G<br />
{R PG} 1<br />
P<br />
Fig. 4.81<br />
Calculation sequence to solve double wishbone suspension geometry<br />
The length between each of the three reference points and the movable point<br />
must also be fixed and known. This will only work if the movable point lies<br />
on the same rigid body as each of the reference points.<br />
In addition to locating the movable points just described we will also need<br />
to determine the new positions K and L of the two points located on the<br />
wheel spin axis as shown in Figure 4.82. These two positions will be used<br />
with the starting locations K and L to determine the change in steer and<br />
camber angle between the two suspension configurations.<br />
Having followed the process outlined here we obtain the new positions<br />
shown in Table 4.15. The results obtained using vector theory are compared