MAE 326 Spring 2008 HW 13, due Friday, May 2
This assignment will count as two HW grades.
1. B911
2. B913
3. B112 Plot this graph using the Matlab bode function. Determine analytical expres
sions for the low and high frequency behavior of the frequency response. do this for
amplitude and phase. Sketch the low and high frequency asymptotes on your plot and
label them.
4. Consider the system whose sinusoidal transfer function has the Bode plot shown in
figure 1.
If the forcing input is
u
(
t
) = 3 sin(
.
1
t
) + 2 cos(3
t
+
π/
4), then what is the
steady state output?
Be careful about units, reading logarithmic scales and with
dealing with the fact that one of the input signals already has a phase.
40
30
20
10
0
10
20
Magnitude (dB)
10
2
10
1
10
0
10
1
10
2
135
90
45
0
45
Phase (deg)
Bode Diagram
Frequency
(rad/sec)
Figure 1: Example Bode plot.
5. B73
6. A simple model for an ondemand water heater is shown in figure 2. Water flows in
from the top and is heated by the heating element before flowing out the bottom. We
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 Spring '08
 PSIAKI
 heater power

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