This preview shows pages 1–3. Sign up to view the full content.
Principles of MEMS Transducers
Page 1 of 6
Prepared by D. Arnold
November 5, 2010
v
1
=
v
2
ω
1
R
1
=
2
R
2
2
=
R
1
R
2
1
EEL5225 Principles of MEMS Transducers
HW6
Fall 2010 Semester
Assigned: Monday, 10/25
Due:
Monday, 11/1
1.
Consider the gear system shown below, with input angular velocity,
ω
1
.
Draw and completely label an
appropriate equivalent circuit model for the system.
(Hint: use rotational domain conjugate power
variables).
Note: The relation between the 2 gears is derived as:
F
1
=
F
2
T
1
R
1
=
T
2
R
2
T
2
=
R
2
R
1
T
1
These equations are represented by the first transformer with turns ratio R
2
/R
1
.
Note the relations between force/torque and linear velocity/angular velocity:
F
=
1
R
2
T
2
and
v
=
R
2
2
These equations are represented by the second transformer with turns ratio 1/R
2
Now label the velocities at the nodes:
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Principles of MEMS Transducers
Page 2 of 6
Prepared by D. Arnold
November 5, 2010
Equivalent circuit model:
+

++

T
1
w
1
w
2
1:
R
2
R
1
T
2
F
v
1
v
2
m
2
v1v2
C
1
C
2
1:
1
w
1
R
2
Here, we assume massless gears and no loss in the rotational system.
If you wanted, you could include an
inductor (representing rotational inertia,
J
) for each of the gears.
2.
Consider the transfer function
X
(
s
)
F
(
s
)
=
1
ms
2
+
bs
+
k
(displacement per force) for a standard
underdamped 2
nd
order massspringdamper system
b
.
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/17/2011 for the course EEL 5225 taught by Professor Arnold during the Fall '08 term at University of Florida.
 Fall '08
 Arnold

Click to edit the document details