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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
acoustic pressure signal p(t) to an output voltage v
R
(t). The movable membrane and xed plate form
a capacitor. The sound waves deect the membrane changing the separation between it and the back
plate and, therefore, the capacitance. A bias voltage is applied to produce an electrical charge on the
membrane. The motion of the membrane is opposed by damping and elastic forces as well as an
electrostatic force.
The mathematical model consists of the following different ial and algebraic equations describing
the circuit and the forces acting on the membrane:
R
dQ
dt
þ v
C
¼ E
0
, v
R
¼ E
0
v
C
(7:12)
Q ¼ Cv
C
(7:13)
C ¼
B
h
¼
B
L x
(7:14)
0 5 10 15 20 25 30 35 40 45 50
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Publisher Resources

ISBN: 9781439836736