4569846498

234 Multibody Systems Approach to Vehicle Dynamics
finite element analysis. Solving equation (4.311) yields the following
answers for the 20 unknowns:
F A31x 645.173 N
F E21x 557.482 N
F A31y 2006.948 N
F E21y 1453.911 N
F A31z 3412.360 N
F E21z 47.583 N
F B31x 204.112 N
F F21x 0 N
F B31y 3022.800 N
F F21y 2787.021 N
F B31z 3353.266 N
F F21z 91.212 N
F D34x 557.482 N
F G24x 557.482 N
F D34y 4680.486 N
F G24y 4240.9322 N
F D34z 10 154.217 N
F G24z 138.979 N
f S1 1.92786767 N/mm f S2 38.8069785 N/mm
It is now possible to use the two scale factors found, f S1 and f S2 , to calculate
the force vectors {F H54 } 1 and {F C37 } 1 :
⎡ 0 ⎤ ⎡ 0 ⎤
{ FH 54} 1
fS1{ R
⎢ ⎥
JH}
1.92786767
228
⎢
439.554
⎥
N
1
⎢ ⎥ ⎢ ⎥
⎣⎢
8 ⎦⎥
⎣⎢
15.942⎦⎥
(4.312)
⎡ 3 ⎤ ⎡ 116.421 ⎤
{ FC37} 1
fS2{ R
⎢ ⎥
CI}
38.8069785
9
⎢
349.263
⎥
N
1
⎢ ⎥ ⎢
⎥
⎣⎢
436⎦⎥
⎣⎢
16 919.843⎦⎥
(4.313)
In summary the force vectors are as follows:
{F A31 } T 1 [645.173 2006.948 3412.360] N
{F B31 } T 1 [204.112 3022.800 3353.266] N
{F D34 } T 1 [557.482 4680.486 10 154.217] N
{F E21 } T 1 [557.482 1453.911 47.583] N
{F F21 } T 1 [0 2787.021 91.212] N
{F G24 } T 1 [557.482 4240.932 138.979] N
{F H54 } T 1 [0 439.554 15.942] N
{F C37 } T 1 [116.421 349.263 16919.843] N
A comparison of the forces found, at points within the suspension system,
from the preceding calculations and those found using an equivalent
MSC.ADAMS model is shown in Table 4.14.
4.10.5 Dynamic analysis
Having carried out a static analysis it is possible to progress to a full
dynamic analysis of the system. For the suspension system considered here
a theoretical solution could be formulated on the basis of the same set of