November 2012
Intermediate to advanced
322 pages
10h
English
Content preview from Magnetorheological Fluid Technology
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161MR Applications for Vibration and Impact Control
The variables used from Equation (6.6) to Equation (6.15) are well dened
with specic values in Table6.1.
Now, in order to solve the equations of the motion, we have to determine
engine excitation force. These are given by [24, 25]:
F
F
F
m r
l
t
M P A r t
r
l
t
m r t F l
M
m r
l
l t
M
eX
eY
eZ
p
eX cn c gn gn
n
p eZ c
eY
p
r
eZ
0
0
4
cos2
sin( )
2
sin 2( )
2 sin 2
4
cos2
0
2 2
2
1
4
2 2
2 2
∑
( )
=
=
=
ω
ω
= ω − φ + ω − φ
+ − ω ω +
=
ω
ω
=
=
(6.16)
In the above, m
p
is the piston mass, r is the rotational radius of crank arm,
ω is the angular velocity of crank shaft, l is the connecting rod length, P
cn
is
the gas pressure in each cylinder
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