Biomedical Engineering Reference
In-Depth Information
K = -
-K-
1/s
1/s
Vfinal
∗
Integrator
Integrator 1
To workspace
Gain 2
Product
+
u^1.5
Fcn 1
Sum
1
FIGURE 7.20
Simulink model.
Final b
e
am deflecti
o
n (M = 0.5
,
E = 1, I = 1
,
L = 1)
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 7.21
Hypothetical deflection plot.
A hypothetical deflection case, subject to the following boundary conditions,
was run through the five-step modeling process and resulted in the beam deflection
shown in figure 7.21:
M
= 0.5
v
(
t
0
) = 0
(7.17a)
(
t
0
) = 0
(7.17b)
E
= 1
v
′
I
= 1
v
″
(t
0
) = 0
(7.17c)
L
= 1
dx
= 0.01
(7.17d)
One of the implications of solving equation (7.7) is the “stretching” of the beam.
As depicted in figure 7.22, the beam tip will deflect a distance,
v
, and the resulting
curved beam will be longer by a small distance than it originally was (though no
extension force has been placed on the beam).
