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ECE 382
Homework 3
Due: Thursday, January 21, 2010
1) Find the control ratios
C
1
(
s
)
R
1
(
s
)
,
C
1
(
s
)
R
2
(
s
)
,
C
2
(
s
)
R
1
(
s
)
, and
C
2
(
s
)
R
2
(
s
)
for the block diagram shown below. Use
Mason’s gain formula.
R
1
1
– H
1
1
– H
2
1
C
1
G
2
G
1
G
3
R
2
1
G
4
1
C
2
– H
4
– H
3
1
2) Find the transfer function
C
(
s
)
R
(
s
)
for the block diagram shown below. Use Mason’s gain for
mula.
G
1
G
2
G
3
H
2
H
1
H
3
R(s) +
_
+
_
+
_
C(s)
∑
∑
G
4
∑
H
4
_
_
G
5
∑
+
–
3) A geartrain system is shown below. The moments of inertia of gears are lumped as
J
1
,
J
2
,
and
J
3
, and they are assumed to be negligible.
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Unformatted text preview: τ m is the applied torque, and N 1 , N 2 , N 3 , and N 4 are the respective number of gear teeth. MOTOR LOAD N 1 θ 1 N 3 N 2 J 3 N 4 J L J m J 1 J 2 θ 2 θ 3 τ 2 τ m τ 4 τ 1 τ 3 (a) Find the total inertia as seen from the motor side. (b) Find the transfer function Θ 1 ( s ) / τ m ( s ) . (c) Find the transfer function Θ 3 ( s ) / τ m ( s ) ....
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This note was uploaded on 02/04/2012 for the course ECE 382 taught by Professor Staff during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 Staff

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