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T
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m
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ev
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m
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m
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ap
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s
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s
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eq
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c
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d
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iti
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b
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as
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as
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h
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d
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lia
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M
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(
DaCM)
s
u
p
p
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ts
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th
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d
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ce
d
ec
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n
t
h
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ap
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e
d
is
p
lace
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e
n
t
s
e
n
s
iti
v
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y
a
n
d
o
p
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f
r
eq
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v
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s
(
C
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ted
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w
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ic
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i
m
p
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d
i
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lace
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iti
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co
m
p
ar
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w
it
h
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C
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p
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id
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g
th
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in
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p
lan
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m
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e.
T
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Ma
tlab
co
d
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u
s
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to
ca
lcu
late
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is
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lace
m
en
t
s
en
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iti
v
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n
d
o
p
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r
eq
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s
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w
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:
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Dis
p
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Fre
q
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MEMS
Sen
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rig
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2
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In
stit
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f
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C
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Me
x
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I
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v
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in
ap
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m
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e,
r
o
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n
av
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ato
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s
[
1
]
.
T
o
ex
tr
ac
t
th
e
ac
ce
ler
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n
v
alu
e,
th
e
s
e
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s
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s
a
m
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m
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s
p
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t
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is
a
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,
th
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s
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s
m
ic
m
a
s
s
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s
d
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p
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d
f
r
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m
its
r
est p
o
s
itio
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.
T
h
e
m
a
g
n
it
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f
t
h
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d
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p
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t
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p
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tiff
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s
tr
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es [
2
].
T
h
e
m
icr
o
ac
ce
ler
o
m
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ter
s
ar
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d
ev
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t
h
at
s
tan
d
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u
t
d
u
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to
th
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h
ig
h
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p
lace
m
e
n
t
s
e
n
s
i
t
iv
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nd
o
p
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atio
n
f
r
eq
u
en
c
y
[
3
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
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C
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I
SS
N:
2088
-
8708
A
N
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p
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(
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1859
A
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p
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a
m
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[
4
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T
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d
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p
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s
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v
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f
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th
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h
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1
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.
(
1
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W
h
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F
is
th
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f
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,
m
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2
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2
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g
,
g
i
v
en
b
y
(
3
)
:
(
)
(
3
)
w
h
er
e
E
is
t
h
eYo
u
n
g
'
s
m
o
d
u
lu
s
o
f
t
h
e
m
ater
ial,
t
,
w
b
a
n
d
l
b
ar
e
th
e
t
h
ic
k
n
e
s
s
,
w
id
t
h
an
d
le
n
g
th
o
f
th
e
s
u
s
p
en
s
io
n
b
ea
m
s
,
r
esp
ec
tiv
el
y
.
I
n
(
4
)
it
s
h
o
w
t
h
e
eq
u
i
v
ale
n
ce
o
f
(
1
)
an
d
(
2
)
.
(
4
)
I
n
o
r
d
er
to
o
b
tain
th
e
d
is
p
lace
m
en
t
s
e
n
s
iti
v
it
y
,
w
e
p
r
o
p
o
u
s
ed
to
u
s
e
x
,
o
b
tain
ed
f
r
o
m
(
4
)
:
T
h
e
ex
p
r
ess
io
n
f
o
r
th
e
d
is
p
la
ce
m
en
t
s
e
n
s
i
tiv
it
y
ca
lcu
latio
n
,
h
er
e
d
ev
elo
p
ed
,
co
n
s
id
er
s
t
h
e
ef
f
ec
t
o
f
ac
ce
ler
atio
n
an
d
allo
w
s
u
s
to
g
et
v
er
y
clo
s
e
v
al
u
e
s
to
th
o
s
e
o
b
tain
ed
th
r
o
u
g
h
s
i
m
u
latio
n
.
Dis
p
lace
m
e
n
t
s
e
n
s
it
iv
i
t
y
w
ill
r
e
m
ai
n
co
n
s
ta
n
t
w
i
t
h
i
n
a
f
r
eq
u
en
c
y
r
an
g
e
b
e
f
o
r
e
an
y
r
eso
n
an
ce
f
r
eq
u
en
c
y
[
6
]
.
T
h
is
h
ap
p
en
s
s
in
ce
,
a
s
it
is
w
id
el
y
k
n
o
w
n
,
b
ef
o
r
e
th
e
r
eso
n
a
n
ce
f
r
eq
u
e
n
c
y
,
th
e
d
ev
ice
w
ill
o
p
er
ate
ac
co
r
d
in
g
to
t
h
e
d
esi
g
n
r
eq
u
ir
e
m
en
t
s
,
u
n
d
er
th
o
s
e
it
w
a
s
d
ev
elo
p
ed
.
I
t
is
r
ec
o
m
m
en
d
ed
to
d
esig
n
f
o
r
h
ig
h
o
p
er
atio
n
f
r
eq
u
e
n
cie
s
,
to
av
o
id
lo
w
r
eso
n
a
n
ce
f
r
eq
u
en
ci
es.
I
n
t
h
is
w
o
r
k
,
an
i
m
p
r
o
v
e
m
e
n
t
o
n
th
e
d
is
p
lace
m
en
t
s
e
n
s
i
tiv
it
y
a
n
d
o
p
er
atin
g
f
r
eq
u
en
c
y
w
it
h
t
h
e
i
m
p
le
m
en
ta
tio
n
o
f
D
is
p
lace
m
en
t
-
a
m
p
li
f
y
i
n
g
C
o
m
p
lia
n
t M
e
ch
an
i
s
m
(
DaCM)
,
is
p
r
ese
n
ted
.
T
o
o
b
tain
th
e
o
p
er
atio
n
f
r
eq
u
e
n
c
y
o
f
an
ac
ce
ler
o
m
eter
,
(
6
)
is
u
s
ed
[
7
]
.
√
(
6
)
w
h
er
e
N
is
t
h
e
n
u
m
b
er
o
f
s
u
s
p
en
s
io
n
b
ea
m
s
.
T
h
e
d
esig
n
an
d
s
i
m
u
lat
io
n
s
wer
e
r
ea
lized
co
n
s
id
er
in
g
t
h
e
in
-
p
lan
e
m
o
d
e
o
f
o
p
er
atio
n
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
2
.
1
.
T
heo
re
t
ica
l
A
na
ly
s
is
a
n
d
S
i
m
u
la
t
io
n
o
f
Dis
pla
ce
m
e
nt
S
ens
it
iv
it
y
a
nd
O
pera
t
ing
F
re
qu
ency
o
f
a
Ca
pa
cit
iv
e
Co
nv
ent
io
na
l A
c
ce
lero
m
et
er
(
CCA)
.
T
h
e
ac
ce
ler
o
m
eter
s
ar
e
d
ev
ices
u
s
ed
to
m
ea
s
u
r
e
ac
ce
ler
atio
n
an
d
v
ib
r
atio
n
.
T
h
ese
d
ev
ices
co
n
v
er
t
th
e
ac
ce
ler
atio
n
o
f
t
h
e
g
r
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it
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o
r
o
f
t
h
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m
o
v
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m
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n
t
in
to
an
elec
tr
ical
a
n
alo
g
ical
s
i
g
n
al,
p
r
o
p
o
r
tio
n
al
to
th
e
f
o
r
ce
ap
p
lie
d
to
th
e
s
y
s
te
m
[
8
]
.
Fig
u
r
e
1
s
h
o
w
s
t
h
e
m
ai
n
ele
m
en
ts
o
f
a
C
C
A
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
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8
8
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T
o
i
m
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r
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v
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t
h
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d
is
p
lace
m
e
n
t
s
en
s
iti
v
it
y
a
n
d
o
p
er
atin
g
f
r
eq
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en
c
y
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o
v
alid
ate
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e
th
eo
r
etica
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lts
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ler
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ar
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eli
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g
b
y
Fi
n
ite
E
le
m
en
t M
et
h
o
d
.
Fig
u
r
e
2
s
h
o
w
s
t
h
e
d
i
m
en
s
io
n
s
o
f
t
h
e
ca
p
ac
itiv
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ac
ce
ler
o
m
eter
.
T
ab
le
1
s
h
o
w
s
t
h
e
p
r
o
p
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ties
o
f
Sil
ico
n
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Fig
u
r
e
1
.
Ma
in
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C
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A
Fig
u
r
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2
.
Di
m
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n
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o
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h
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C
C
A
T
ab
le
1
.
P
r
o
p
er
ties
o
f
Sil
ico
n
[
9
]
P
r
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p
e
r
t
y
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l
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e
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t
y
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2
3
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m
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T
h
e
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mal
Ex
p
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f
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t
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α
2
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6
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1
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°
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d
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p
lace
m
e
n
t
s
en
s
iti
v
it
y
an
d
o
p
er
atin
g
f
r
eq
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en
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5
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d
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6
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u
r
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3
.
Dis
p
lace
m
e
n
t se
n
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ti
v
it
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o
f
C
C
A
Fig
u
r
e
4
.
Op
er
atin
g
f
r
eq
u
en
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y
o
f
C
C
A
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
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C
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I
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N:
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A
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g
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r
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2
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2
.
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heo
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t
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A
na
ly
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is
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n
d
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i
m
u
la
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o
f
D
is
pla
ce
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e
nt
S
ens
it
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it
y
a
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t
ing
F
re
qu
ency
o
f
a
Ca
pa
ci
t
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e
Acc
eler
o
m
et
er
w
it
h E
x
t
en
ded B
ea
m
s
(
CAEB
)
.
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ce
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h
e
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lc
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E
B
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s
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g
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5
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o
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s
en
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iti
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o
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s
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e
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lt
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d
(
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.
Fig
u
r
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5
.
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s
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3
.
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A
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B
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e
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.
Dis
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A
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B
Fig
u
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e
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.
Op
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atin
g
f
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eq
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C
A
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6
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T
h
e
d
ata
w
er
e
o
b
tain
ed
b
y
s
i
m
u
latio
n
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
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E
C
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Vo
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4
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ed
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at
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h
e
d
is
p
lace
m
en
t
s
en
s
iti
v
it
y
f
o
r
th
e
c
ase
o
f
C
A
E
B
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is
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p
r
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i
m
atel
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m
es
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ig
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er
t
h
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i
n
th
e
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s
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o
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A
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u
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in
t
h
e
ca
s
e
o
f
t
h
e
o
p
er
atin
g
f
r
eq
u
e
n
c
y
,
t
h
e
r
esp
o
n
s
e
is
3
ti
m
e
s
lo
w
er
.
W
ith
th
e
i
m
p
le
m
e
n
tatio
n
o
f
Dis
p
lace
m
e
n
t
-
a
m
p
li
f
y
i
n
g
C
o
m
p
lian
t
Me
ch
a
n
i
s
m
(
Da
C
M)
,
th
e
m
a
s
s
w
i
ll
b
e
r
ed
u
ce
d
to
ah
alf
o
f
th
e
o
r
ig
i
n
al
s
ize.
T
h
is
f
ac
t
w
i
ll
i
m
p
r
o
v
e
th
e
o
p
er
atin
g
f
r
eq
u
e
n
c
y
an
d
d
is
p
lace
m
en
t
s
en
s
iti
v
it
y
.
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
I
n
th
i
s
s
ec
tio
n
,
t
h
e
s
i
m
u
latio
n
r
esu
l
ts
o
f
C
C
A
a
n
d
C
A
E
B
w
it
h
th
e
i
m
p
le
m
en
ta
tio
n
o
f
DaCM
´
s
ar
e
p
r
esen
ted
.
Fig
u
r
e
8
s
h
o
w
s
t
h
e
d
i
m
en
s
io
n
s
o
f
C
C
A
w
it
h
t
h
e
Da
C
M
ad
a
p
ted
.
As
it
ca
n
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e
o
b
s
er
v
ed
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th
e
h
ei
g
h
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o
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C
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A
is
r
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ce
d
b
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h
al
f
,
co
m
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ar
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w
it
h
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h
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ev
io
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s
C
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A
.
I
t
m
u
s
t
b
e
m
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tio
n
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h
a
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th
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n
o
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el
Da
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g
eo
m
etr
y
is
g
e
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er
ated
b
y
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ele
v
an
t
s
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u
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al
m
o
d
if
ica
tio
n
s
to
th
e
o
n
e
r
ep
o
r
ted
in
[
6
]
.
T
h
e
s
i
m
u
lat
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n
s
w
er
e
ca
r
r
ied
o
u
t
as
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as
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n
s
2
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1
an
d
2
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2
,
f
o
r
th
e
s
tr
u
ct
u
r
es
w
it
h
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t
DaC
M
.
Fig
u
r
es
9
a
n
d
1
0
s
h
o
w
t
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e
s
i
m
u
latio
n
r
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lts
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f
d
is
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lace
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e
n
t
s
e
n
s
it
iv
i
t
y
a
n
d
o
p
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atin
g
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r
eq
u
e
n
c
y
f
o
r
t
h
e
in
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p
lan
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o
d
e,
r
esp
ec
tiv
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y
.
Fig
u
r
e
8
.
Di
m
e
n
s
io
n
s
o
f
C
C
A
w
it
h
Da
C
M
Fig
u
r
e
9
.
Dis
p
lace
m
e
n
t
s
e
n
s
i
ti
v
it
y
o
f
C
C
A
w
it
h
DaCM
Fig
u
r
e
1
0
.
Op
er
atin
g
f
r
eq
u
e
n
c
y
o
f
C
C
A
w
it
h
Da
C
M
As
it
ca
n
b
e
n
o
ted
,
th
e
Da
C
M
i
m
p
le
m
e
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tatio
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i
m
p
r
o
v
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d
5
3
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d
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1
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w
it
h
r
esp
ec
t
to
th
e
d
is
p
lace
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e
n
t
s
e
n
s
it
iv
it
y
a
n
d
o
p
er
atin
g
f
r
eq
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en
c
y
,
r
esp
ec
ti
v
e
l
y
,
co
m
p
ar
ed
w
it
h
C
C
A
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
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C
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N:
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A
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a
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lace
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o
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icate
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r
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lace
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en
t
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en
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iti
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s
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to
[
6
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d
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r
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atin
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en
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t
m
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s
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m
en
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ize
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r
s
y
s
te
m
w
it
h
t
h
e
u
s
ed
in
[
6
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,
o
u
r
p
r
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p
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s
ed
d
ev
ice
is
3
6
% s
m
aller
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T
ab
le
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s
h
o
w
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p
ar
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f
th
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m
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lt
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b
et
w
ee
n
C
C
A
an
d
C
C
A
w
i
th
Da
C
M.
T
ab
le
4
.
C
o
m
p
ar
is
o
n
o
f
th
e
s
i
m
u
latio
n
r
es
u
lt
s
f
o
r
th
e
i
n
-
p
la
n
e
m
o
d
e
D
i
sp
l
a
c
e
me
n
t
S
e
n
si
t
i
v
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y
o
f
CCA
D
i
sp
l
a
c
e
me
n
t
se
n
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t
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v
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t
y
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f
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A
w
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t
h
D
a
C
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O
p
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g
f
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q
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f
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p
e
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t
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g
f
r
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q
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f
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C
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w
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t
h
D
a
C
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z
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u
r
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1
1
s
h
o
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s
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h
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d
i
m
e
n
s
io
n
s
o
f
C
A
E
B
w
ith
Da
C
M.
Fig
u
r
e
1
1.
Di
m
en
s
io
n
s
o
f
C
AE
B
w
ith
DaCM
T
h
e
d
is
p
lace
m
e
n
t
s
e
n
s
iti
v
it
y
a
n
d
o
p
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atin
g
f
r
eq
u
en
c
y
ar
e
s
h
o
w
n
in
F
ig
u
r
es 1
2
an
d
1
3
,
r
es
p
ec
tiv
el
y
.
Fig
u
r
e
1
2
.
Dis
p
lace
m
en
t
s
e
n
s
i
tiv
it
y
o
f
C
A
E
B
w
i
th
DaCM
Fig
u
r
e
1
3
.
Op
er
atin
g
f
r
eq
u
e
n
c
y
o
f
C
A
E
B
w
it
h
DaCM
A
r
es
u
m
e
o
f
t
h
e
s
i
m
u
latio
n
r
e
s
u
lt
s
b
et
w
ee
n
C
A
E
B
an
d
C
A
E
B
w
it
h
DaCM
i
s
s
h
o
w
n
i
n
T
ab
le
5
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
E
Vo
l.
7
,
No
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4
,
A
u
g
u
s
t
201
7
:
1
8
5
8
–
1
8
6
6
1864
T
ab
le
5
.
C
o
m
p
ar
is
o
n
o
f
th
e
s
i
m
u
latio
n
r
es
u
lt
s
f
o
r
th
e
i
n
-
p
la
n
e
m
o
d
e.
D
i
sp
l
a
c
e
me
n
t
se
n
si
t
i
v
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t
y
o
f
C
A
EB
D
i
sp
l
a
c
e
me
n
t
se
n
si
t
i
v
i
t
y
o
f
C
A
EB
w
i
t
h
D
a
C
M
O
p
e
r
a
t
i
n
g
f
r
e
q
u
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n
c
y
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f
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A
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p
e
r
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g
f
r
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f
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w
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a
C
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1
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2
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As
it
ca
n
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e
o
b
s
er
v
ed
,
th
e
i
m
p
le
m
e
n
tat
io
n
o
f
Da
C
M
to
th
e
C
A
E
B
,
i
m
p
r
o
v
e
t
h
e
d
is
p
lace
m
e
n
t
s
en
s
iti
v
it
y
b
y
2
2
.
4
%,
an
d
th
e
o
p
er
atin
g
f
r
eq
u
e
n
c
y
b
y
6
1
.
4
%,
co
m
p
ar
ed
w
it
h
alo
n
e
C
A
E
B
th
e
r
esp
o
n
s
e.
T
h
e
ar
ea
o
f
th
e
co
m
p
lete
s
y
s
te
m
i
s
o
f
7
m
m
x
7
m
m
.
4.
CO
NCLU
SI
O
N
S
T
h
e
er
r
o
r
b
etw
ee
n
s
i
m
u
la
ted
an
d
ca
lc
u
lated
r
es
u
lt
s
o
f
d
i
s
p
lace
m
e
n
t
s
en
s
iti
v
it
y
,
f
o
r
th
e
in
-
p
lan
e
m
o
d
e
o
f
v
ib
r
atio
n
is
v
er
y
s
m
al
l,
2
.
7
% f
o
r
C
C
A
a
n
d
0
.
2
7
% f
o
r
C
A
E
B
.
Fo
r
th
e
o
p
er
atin
g
f
r
e
q
u
en
c
y
th
e
er
r
o
r
is
0
.
9
%
an
d
0
.
0
4
%
f
o
r
C
C
A
an
d
C
A
E
B
,
r
esp
ec
tiv
el
y
.
T
h
er
ef
o
r
e,
it
ca
n
b
e
c
o
n
clu
d
ed
th
at
th
e
eq
u
atio
n
s
u
s
ed
to
ca
lcu
late
t
h
ese
p
ar
a
m
eter
s
ar
e
ap
p
r
o
p
r
iated
f
o
r
th
e
g
eo
m
etr
ie
s
o
f
th
e
s
es s
y
s
te
m
s
.
T
h
e
ex
ten
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n
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n
t
h
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le
n
g
t
h
o
f
th
e
CA
E
B
´
s
b
ea
m
s
i
m
p
r
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v
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th
e
d
is
p
lace
m
en
t
s
e
n
s
it
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i
t
y
,
1
0
ti
m
e
s
h
ig
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er
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h
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e
ca
s
e
o
f
C
C
A
.
B
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t,
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RE
F
E
R
E
NC
E
S
[1
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P
ra
sh
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n
t
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g
h
,
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ra
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h
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u
p
ta,
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ish
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o
s
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m
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,
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R.
S
in
g
h
,
2013
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“
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sig
n
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n
d
A
n
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n
t
Fre
q
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Hz
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ro
c
.
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EE
E
9
7
8
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4
6
7
3
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5
6
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0
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[2
]
Ba
z
a
z
S
h
a
f
a
a
t,
A
b
id
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S
h
u
ja
K
,
2
0
1
3
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o
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T
ri
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x
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lem
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n
t
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n
a
l
y
sis
”
,
Ara
b
J
S
c
i
E
n
g
,
38
,
p
p
.
2
1
0
3
–
2
1
1
3
.
[3
]
Jin
g
Zh
a
n
g
,
Ya
n
S
u
,
Qin
S
h
i,
An
-
P
in
g
Qiu
,
2
0
1
5
,
“
M
icr
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tro
m
e
c
h
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so
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a
n
t
A
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ter
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sig
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w
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a
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y
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e
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so
rs
1
5
(
1
2
)
3
0
2
9
3
–
3
0
3
1
0
.
[4
]
Ke
n
n
e
d
y
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Ca
b
r
e
ra
H
D,
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rn
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n
d
e
z
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o
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s
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H
e
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M
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A
L
,
M
irele
s
Jr
Ga
rc
ia
J,
S
a
u
c
e
d
a
-
Ca
rv
a
jal
A
,
2014
,
“
F
a
b
rica
c
io
n
y
c
a
ra
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teriz
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c
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d
e
u
n
a
m
p
li
f
ica
d
o
r
m
e
c
a
n
ico
f
le
x
ib
le
”
,
Rev
ista
M
e
x
ica
n
a
d
e
Fi
isic
a
,
6
0
(
2
0
1
4
)
,
p
p
.
282
–
2
8
9
.
[5
]
M
o
u
ra
d
Be
n
m
e
ss
a
o
u
d
,
M
e
k
k
a
k
i
a
M
a
a
z
a
Na
sre
d
d
in
e
,
2
0
1
3
,
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Op
t
im
iz
a
ti
o
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o
f
M
EM
S
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a
p
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it
iv
e
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c
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ter
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,
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icr
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s T
e
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h
n
o
l
,
1
9
(
5
)
,
p
p
.
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1
3
-
7
2
0
.
[6
]
Kh
a
n
S
a
m
b
u
d
d
h
a
,
2
0
1
3
,
“
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v
e
lo
p
m
e
n
t
o
f
M
icro
m
a
c
h
in
e
d
a
n
d
M
e
so
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sc
a
le
M
u
lt
i
-
a
x
is
A
c
c
e
l
e
ro
m
e
t
e
rs
w
it
h
Disp
lac
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m
e
n
t
-
a
m
p
li
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in
g
Co
m
p
li
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t
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e
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h
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n
ism
s
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Do
c
to
ra
l
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sis,
De
p
a
rt
m
e
n
t
o
f
El
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c
tr
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m
s
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g
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rin
g
,
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d
ian
In
stit
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c
ien
c
e
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n
g
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lo
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d
ia.
[7
]
X
ie
Jia
n
b
in
g
,
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o
n
g
M
e
n
g
,
YU
u
a
n
W
e
izh
e
n
g
,
2
0
1
3
,
“
A
h
i
g
h
S
e
n
siti
v
it
y
M
icr
o
ma
c
h
i
n
e
d
Acc
e
ler
o
me
ter
wit
h
a
n
En
h
a
n
c
e
d
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e
rti
a
l
M
a
ss
S
OI
M
EM
S
Pro
c
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ss
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,
I
n
P
r
o
c
e
e
d
in
g
s
Na
n
o
/M
icro
E
n
g
in
e
e
re
d
a
n
d
M
o
lec
u
lar
S
y
ste
m
s
(NEM
S
),
2
0
1
3
8
t
h
IEE
E
In
ter
n
a
ti
o
n
a
l
C
o
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f
e
re
n
c
e
o
n
S
u
z
h
o
u
,
C
h
i
n
a
,
p
.
3
3
6
-
3
3
9
.
[8
]
M
a
n
z
a
n
a
re
s A
,
“
2
0
0
8
Est
u
d
io
d
e
m
o
d
e
lo
s m
a
te
m
a
ti
c
o
s d
e
a
c
e
lero
m
e
tro
s co
m
e
r
c
iale
s
”
,
T
h
e
sis.
[9
]
A
NSYS
2
0
1
6
A
n
s
y
s
-
S
i
m
u
latio
n
Driv
e
n
P
r
o
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u
c
t
De
v
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lo
p
m
e
n
t.
h
tt
p
:/
/w
ww
.
a
n
s
y
s.co
m
/
.
[1
0
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A
b
d
o
lv
a
n
d
R,
A
m
in
i
B
V
,
Ay
a
z
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F
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2
0
0
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,
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S
u
b
-
M
icro
-
G
ra
v
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in
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la
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e
A
c
c
e
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m
e
ters
w
it
h
Re
d
u
c
e
d
C
a
p
a
c
it
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v
e
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a
p
s an
d
Ex
tra S
e
is
m
ic M
a
ss
”,
J
.
M
icr
o
e
lec
tro
me
c
h
.
S
y
st.
v
o
l.
1
6
n
o
.
5
p
p
.
1
0
3
6
–
1
0
4
6
.
AP
P
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NDI
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A
C
o
d
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g
en
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ated
en
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A
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p
lace
m
en
t sen
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y
a
n
d
o
p
er
atio
n
f
r
eq
u
en
c
y
.
clear all
Evaluation Warning : The document was created with Spire.PDF for Python.
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clc
wb=25*10^
-
6
E=131*10^9;
h=25*10^
-
6;
g=9.81
pi=3.141592;
lb=input(Provide the arm´s length ');
k1=(wb/lb)^3;
k=E*h*k1;
m=input ('Provide the mass of the
system
');
x=(m*g)/(4*k)
f=(1/(2*pi))*((4*k)/m)^0.5
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o
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tai
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.
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c
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p
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,
in
2
0
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.
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p
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tea
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t
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a
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m
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In
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te o
f
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a
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El
e
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tro
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n
g
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tl
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m
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n
d
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re
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d
th
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m
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Un
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rsit
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lo
s
S
tate
(UA
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).
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a
lso
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in
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n
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.
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Evaluation Warning : The document was created with Spire.PDF for Python.