Biomedical Engineering Reference
In-Depth Information
Final beam deflection (unstretched)
0
-0.05
-0.1
-0.15
-0.2
-0.25
-0.3
0
0.2
0.4
x axis (along beam)
0.6
0.8
1
FIGURE 7.24
Unstretched hypothetical deflection plot.
Final beam deflection (various moments)
0.5
0.4
0.3
M = -1.0
0.2
0.1
M = 0.0
M
=
0
.25
M = 0.5
0
-0.1
-0.2
-0.3
-0.4
-0.5
0
M = 1.0
0.2
0.4
x axis (along beam)
0.6
0.8
1
FIGURE 7.25
Deflections due to various moments.
The approximate transfer function's step response does correspond to that pre-
sented in Shahinpoor and Alvarez (2002). The only significant discrepancy is in the
maximum value during the initial portion of the step response. Shahinpoor and
Alvarez (2002) report the maximum value at 0.170; the approximate solution reports
the maximum value at 0.146.
The frequency domain parameters that characterize the model's open-loop trans-
fer function should be assumed to apply to only the 1-
0.25-in. beam. The natural
frequency and damping coefficient of beams with other lengths, widths, and thickness
will undoubtedly be very different. The function that relates those frequency domain
parameters to beam dimensions was not researched during this modeling effort; an
effort to determine this function must be undertaken before model development can
be considered complete.
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