Biomedical Engineering Reference
In-Depth Information
FIGURE 5.18
A cylindrical bone with a medullary pin inserted [64].
Assuming that the radius of the pin is a 0 + δ/2, where a 0 is the radius of the
cylindrical bone, we obtain Equation (3.63) and rewrite it here for the sake of
convenience
+ δ +=+
a
u
au
2
(5.34)
0
1
0
2
where u 1 is given by the following [64]:
a
E
vP
ba
1
(
)
(5.35)
u
= π− −−
1
vpt
( )
1
2
2
(
)
for an isotropic pin, where E and v are, respectively, Young's modulus and
Poisson's ratio. Making use of Equations (5.33)-(5.35), we obtain the solution
of contact force p ( t ) as
δ + π− π−
vP
Eb a
c
F
P
ba
1
13
3
2
a
(
2
2
)
*
(
2
2
)
pt
()
=
(5.36)
2
c
Fc
1
b
ba
1
v
13
+
+
*
2
2
c
E
3
11
12
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