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d
a
m
p
i
n
g
[
1
5
]
.
A
n
o
v
el
m
icr
o
-
m
ac
h
in
ed
d
u
al
-
a
x
i
s
T
FG
co
u
l
d
ef
f
ec
tiv
el
y
m
i
n
i
m
ize
t
h
e
u
n
d
esire
d
later
al
m
o
tio
n
an
d
e
n
s
u
r
e
t
h
e
a
n
ti
-
p
h
a
s
e
r
eso
n
an
t
m
o
d
e
o
f
t
h
e
t
w
o
v
ib
r
atio
n
f
r
a
m
e
s
[
1
6
]
.
A
ca
p
ac
itiv
e
-
t
y
p
e
tu
n
i
n
g
f
o
r
k
m
icr
o
-
g
y
r
o
s
co
p
e
is
d
ev
e
lo
p
ed
in
[
1
7
]
.
A
n
o
v
e
l
q
u
ad
m
as
s
g
y
r
o
s
co
p
e
in
[
1
8
-
1
9
]
is
d
esi
g
n
ed
a
n
d
f
ab
r
icate
d
in
o
r
d
er
to
in
cr
ea
s
e
t
h
e
g
ap
b
et
w
ee
n
t
w
o
r
eso
n
a
n
ce
m
o
d
es
an
d
r
ed
u
ce
th
e
en
er
g
y
tr
an
s
f
er
b
et
w
ee
n
th
e
t
w
o
m
o
d
es,
allo
w
i
n
g
f
o
r
r
o
b
u
s
tn
es
s
to
ex
ter
n
al
ac
ce
ler
atio
n
.
Ho
w
e
v
er
,
th
er
e
ar
e
n
o
t
an
y
s
t
u
d
ies
m
en
t
io
n
i
n
g
a
n
d
an
al
y
zi
n
g
ab
o
u
t
t
h
e
i
m
p
o
r
ta
n
ce
an
d
t
h
e
r
o
le
o
f
d
if
f
er
e
n
tial
d
r
iv
i
n
g
s
u
s
p
en
s
i
o
n
co
u
p
lin
g
s
p
r
in
g
a
n
d
s
u
s
p
en
s
io
n
b
ea
m
s
b
et
w
ee
n
t
w
o
g
y
r
o
s
co
p
es
in
co
n
v
e
n
tio
n
al
t
u
n
i
n
g
f
o
r
k
g
y
r
o
s
co
p
e.
T
h
is
p
ap
er
p
r
esen
ts
a
n
o
v
el
d
esig
n
o
f
a
v
ib
r
atio
n
tu
n
i
n
g
f
o
r
k
g
y
r
o
s
co
p
e
b
ased
o
n
a
d
if
f
er
en
tia
l
d
r
iv
in
g
s
u
s
p
en
s
io
n
co
u
p
lin
g
s
p
r
in
g
b
et
w
ee
n
t
h
e
t
w
o
d
r
i
v
i
n
g
f
r
a
m
es
o
f
T
FGs
.
T
h
er
ef
o
r
e,
th
e
m
ec
h
an
ica
l
v
ib
r
atio
n
s
o
f
d
r
iv
i
n
g
f
r
a
m
es
ar
e
w
ell
m
atc
h
ed
.
I
t
m
ea
n
s
th
at
th
e
d
if
f
er
e
n
tial
d
r
iv
i
n
g
s
u
s
p
en
s
io
n
co
u
p
li
n
g
s
p
r
in
g
ca
n
co
m
p
en
s
ate
d
i
f
f
er
en
tial
p
h
ase
s
h
if
t
o
f
t
w
o
i
n
p
u
t
ex
cita
tio
n
d
r
i
v
in
g
s
i
g
n
al
s
al
lo
w
i
n
g
t
h
e
T
FG
to
w
o
r
k
n
o
r
m
all
y
.
2.
T
UNI
NG
F
O
RK
G
YRO
SC
O
P
E
AND
DIFF
E
RE
NT
I
AL
AM
P
L
I
E
R
2
.
1
.
G
y
ro
s
co
pe
A
2
-
DOF
v
ib
r
at
o
r
y
r
ate
g
y
r
o
s
co
p
e
is
s
h
o
w
n
i
n
f
ig
u
r
e
1
.
I
n
f
ac
t,
it
is
co
m
p
r
i
s
ed
o
f
a
p
r
o
o
f
m
as
s
s
u
s
p
en
d
ed
ab
o
v
e
th
e
s
u
b
s
tr
ate
an
d
t
h
e
p
r
o
o
f
-
m
as
s
is
s
u
p
p
o
r
ted
b
y
a
n
c
h
o
r
ed
f
le
x
u
r
es
w
h
ic
h
p
la
y
th
e
r
o
le
o
f
a
f
le
x
ib
le
s
u
s
p
e
n
s
io
n
b
et
w
ee
n
t
h
e
s
u
b
s
tr
ate
a
n
d
t
h
e
p
r
o
o
f
-
m
a
s
s
,
allo
w
i
n
g
t
h
e
p
r
o
o
f
-
m
as
s
f
r
ee
to
o
s
cillate
i
n
t
w
o
o
r
th
o
g
o
n
al
d
ir
ec
tio
n
s
(
th
e
d
r
iv
e
a
n
d
s
e
n
s
e
d
ir
ec
tio
n
s
)
.
I
n
t
h
e
d
r
iv
e
m
o
d
e,
t
h
e
s
u
s
p
en
s
io
n
s
y
s
te
m
allo
w
s
t
h
e
p
r
o
o
f
-
m
a
s
s
to
o
s
ci
llate
i
n
t
h
e
d
r
iv
e
d
ir
ec
tio
n
.
T
h
e
p
r
o
o
f
-
m
a
s
s
i
s
d
r
iv
e
n
i
n
to
r
eso
n
a
n
ce
i
n
th
e
d
r
iv
e
d
ir
ec
tio
n
b
y
a
n
e
x
ter
n
al
s
i
n
u
s
o
id
al
f
o
r
c
e
at
r
eso
n
an
t
f
r
eq
u
e
n
c
y
o
f
t
h
e
d
r
iv
e
m
o
d
e.
T
h
e
s
en
s
e
m
o
d
e
ac
ce
ler
o
m
e
ter
is
f
o
r
m
ed
b
y
t
h
e
p
r
o
o
f
-
m
a
s
s
.
T
h
e
s
y
s
te
m
o
f
s
u
s
p
en
s
io
n
a
llo
w
s
th
e
p
r
o
o
f
-
m
as
s
to
o
s
c
illate
in
th
e
s
en
s
e
d
ir
ec
tio
n
.
I
n
ca
s
e
g
y
r
o
s
co
p
e
is
s
u
b
j
ec
ted
to
an
an
g
u
lar
r
o
tatio
n
,
a
s
i
n
u
s
o
id
al
C
o
r
io
lis
f
o
r
ce
at
t
h
e
f
r
eq
u
e
n
c
y
o
f
d
r
iv
e
m
o
d
e
o
s
c
i
llatio
n
i
s
i
n
d
u
ce
d
i
n
th
e
s
e
n
s
e
d
ir
ec
tio
n
.
T
h
e
C
o
r
i
o
lis
f
o
r
ce
ex
cite
s
t
h
e
s
e
n
s
e
m
o
d
e
ac
ce
ler
o
m
eter
,
ca
u
s
i
n
g
th
e
p
r
o
o
f
-
m
a
s
s
to
r
esp
o
n
d
in
th
e
s
en
s
e
d
ir
ec
tio
n
[
8
]
.
Fig
u
r
e
1
.
A
2
-
D
OF
Vib
r
ato
r
y
R
ate
G
y
r
o
s
c
ope
2
.
2
.
Vibra
t
io
n
Ra
t
e
T
un
ing
F
o
r
k G
y
ro
s
co
pe
M
o
del
T
h
e
s
in
g
le
m
a
s
s
v
ib
r
ato
r
y
r
at
e
g
y
r
o
s
co
p
e
w
it
h
co
n
v
e
n
tio
n
al
d
r
iv
e
an
d
s
en
s
e
m
o
d
e
o
s
cillatio
n
s
is
v
er
y
s
e
n
s
i
tiv
e
to
v
ar
iatio
n
s
in
s
y
s
te
m
p
ar
a
m
eter
s
th
at
s
h
i
f
t
th
e
d
r
iv
e
o
r
s
en
s
e
r
eso
n
a
n
t
f
r
eq
u
en
cie
s
[
8
]
.
I
n
s
tead
o
f
s
i
n
g
le
m
a
s
s
,
T
FG
u
s
e
s
a
p
air
o
f
m
as
s
es
d
r
i
v
en
to
r
eso
n
an
ce
.
T
FG
r
ea
lizes
th
e
C
o
r
i
o
lis
ac
ce
ler
atio
n
to
i
m
p
r
o
v
e
th
e
s
en
s
iti
v
it
y
b
y
u
s
i
n
g
a
d
i
f
f
er
e
n
tial s
u
s
p
en
d
ed
m
a
s
s
es
s
tr
u
ct
u
r
e.
W
o
r
k
in
g
p
r
in
cip
le
o
f
th
e
T
FG
ca
n
b
e
co
m
p
ar
ed
w
it
h
th
e
elec
tr
o
n
ics
d
if
f
er
en
t
ial
a
m
p
li
f
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er
b
ased
o
n
t
w
o
tr
an
s
is
to
r
s
an
d
a
cu
r
r
en
t
s
o
u
r
ce
,
s
ee
F
ig
u
r
e
2.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
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C
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Vo
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6
,
No
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6
,
Dec
em
b
er
2
0
1
6
:
2
7
1
6
–
2
7
2
9
2718
Fig
u
r
e
2
.
T
h
e
E
lectr
o
n
ics Dif
f
er
en
tial
Am
p
lifie
r
B
asin
g
o
n
T
w
o
T
r
an
s
is
to
r
s
an
d
a
C
u
r
r
en
t
So
u
r
ce
I
n
F
i
g
u
r
e
2
,
th
e
d
if
f
er
en
t
ial
p
air
a
m
p
lif
ier
i
s
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o
r
m
ed
f
r
o
m
th
e
s
a
m
e
n
a
m
e
t
w
o
tr
an
s
i
s
to
r
s
,
w
h
er
e
th
ei
r
e
m
itter
s
ar
e
co
n
n
ec
ted
to
g
eth
er
.
T
h
e
s
h
ar
ed
em
itter
n
o
d
e
is
f
ed
f
r
o
m
a
co
n
s
ta
n
t
c
u
r
r
en
t
s
o
u
r
ce
.
T
h
e
t
w
o
b
ase
in
p
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t
s
ca
n
b
e
ap
p
lied
a
d
if
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er
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n
tial i
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p
u
t
s
ig
n
al
a
n
d
th
e
t
w
o
o
u
tp
u
ts
f
r
o
m
t
h
e
co
llecto
r
s
r
em
ai
n
b
alan
ce
d
.
As
a
tr
a
n
s
i
s
to
r
a
m
p
li
f
ies
t
h
e
cu
r
r
en
t
f
lo
w
i
n
g
b
et
w
ee
n
b
a
s
e
an
d
e
m
itter
,
it
f
o
llo
w
s
th
at
t
h
e
c
u
r
r
en
t
f
lo
w
i
n
g
in
t
h
e
co
llecto
r
cir
c
u
i
t
o
f
th
e
f
ir
s
t
tr
a
n
s
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s
to
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is
p
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o
p
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r
tio
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n
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b
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w
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.
Ho
w
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v
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,
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cu
it
is
to
tall
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s
y
m
m
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t
h
e
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m
en
t
ca
n
b
e
v
ie
w
ed
eit
h
er
as
a
n
a
m
p
l
if
ier
o
r
as
a
n
e
m
itter
f
o
llo
w
er
,
u
n
d
er
s
ta
n
d
in
g
d
o
es
n
o
t
d
ep
en
d
o
n
w
h
ic
h
r
o
le
y
o
u
ass
ig
n
to
w
h
ic
h
d
ev
ice.
T
h
e
co
m
m
o
n
-
m
o
d
e
r
ej
ec
tio
n
r
atio
(
C
MRR
)
o
f
th
e
d
if
f
er
en
tial
a
m
p
li
f
ier
is
lin
ea
r
l
y
r
elate
d
o
n
t
h
e
cu
r
r
en
t
s
o
u
r
ce
r
esis
tan
c
e
R
e
[
2
0
]
,
w
h
o
s
e
v
alu
e
i
s
id
ea
ll
y
in
f
i
n
ite.
T
h
er
ef
o
r
e,
in
g
en
er
a
l,
th
e
C
M
R
R
p
ar
a
m
eter
o
f
a
d
if
f
er
en
tial a
m
p
li
f
ier
is
ex
tr
e
m
el
y
lar
g
e
i
n
co
m
p
ar
in
g
w
i
th
a
s
in
g
le
s
ta
g
e
a
m
p
lifi
er
.
T
h
e
C
MR
R
is
u
p
to
h
u
n
d
r
ed
th
o
u
s
a
n
d
o
r
ev
en
m
o
r
e
i
n
s
o
m
e
ca
s
es.
He
n
ce
,
th
e
d
if
f
er
en
t
ial
s
i
g
n
al
b
et
w
ee
n
th
e
t
w
o
i
n
p
u
t
s
is
m
u
ch
a
m
p
lifi
ed
an
d
th
e
co
m
m
o
n
s
ig
n
al
is
r
ej
ec
ted
.
B
as
ed
o
n
th
e
w
o
r
k
i
n
g
p
r
in
ci
p
le
o
f
th
e
elec
tr
o
n
ic
d
if
f
er
en
tial
a
m
p
li
f
ier
,
a
T
FG
w
it
h
d
if
f
er
en
tia
l
s
u
s
p
en
d
ed
d
r
iv
in
g
m
a
s
s
e
s
is
p
r
o
p
o
s
ed
(
s
ee
F
ig
u
r
e
3
)
.
Fig
u
r
e
3
.
T
FG w
i
th
t
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A
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2722
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f
s
i
n
g
le
g
y
r
o
s
co
p
e,
d
if
f
er
e
n
tial
d
r
i
v
i
n
g
s
u
s
p
en
s
io
n
co
u
p
li
n
g
s
p
r
in
g
s
a
n
d
th
e
T
FG a
r
e
th
en
s
i
m
p
l
y
ex
tr
ac
ted
f
r
o
m
s
i
m
u
latio
n
r
e
s
u
lt
s
.
5.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
B
ef
o
r
e
d
e
m
o
n
s
tr
ati
n
g
t
h
at
th
e
p
r
o
p
o
s
ed
T
FG
h
as
d
i
f
f
er
en
t
ial
p
h
ase
co
m
p
en
s
atio
n
ab
ilit
y
b
et
w
ee
n
t
w
o
in
p
u
t
e
x
cited
s
ig
n
als,
it
n
ee
d
s
to
b
u
ild
s
o
m
e
T
FG
ar
ch
i
tectu
r
es
co
r
r
esp
o
n
d
i
n
g
to
v
ar
i
o
u
s
s
ti
f
f
n
es
s
o
f
t
h
e
d
if
f
er
e
n
tial
d
r
iv
i
n
g
s
u
s
p
en
s
io
n
co
u
p
lin
g
s
p
r
in
g
.
T
h
e
m
ain
p
u
r
p
o
s
e
o
f
b
u
ild
in
g
v
ar
io
u
s
ar
ch
itect
u
r
es
is
to
f
i
n
d
a
ce
r
tain
d
if
f
er
en
tia
l p
h
ase
v
al
u
e
o
f
t
w
o
in
p
u
t e
x
c
ited
d
r
iv
in
g
s
i
g
n
a
ls
t
h
at
th
e
p
r
o
p
o
s
ed
T
F
G
ca
n
co
m
p
en
s
ate.
Ho
w
e
v
er
,
in
o
r
d
er
to
o
b
tain
m
ax
i
m
u
m
d
is
p
lace
m
e
n
ts
o
f
d
r
iv
e
p
r
o
o
f
-
m
as
s
a
n
d
s
en
s
e
p
r
o
o
f
-
m
as
s
,
it
n
ee
d
s
to
u
s
e
t
h
e
m
o
s
t
s
u
i
tab
le
f
r
eq
u
en
c
y
i
n
th
e
e
x
cited
s
i
g
n
a
l
eq
u
atio
n
s
.
I
n
t
h
is
ca
s
e,
it
is
t
h
e
d
r
iv
in
g
r
eso
n
a
n
t
f
r
eq
u
en
c
y
o
f
t
h
e
T
FG.
T
h
is
f
r
eq
u
en
c
y
ca
n
b
e
f
o
u
n
d
v
ia
f
i
n
ite
ele
m
e
n
t
m
et
h
o
d
in
C
o
m
s
o
l
M
u
lt
ip
h
y
s
ic
s
s
o
f
t
w
ar
e
v
er
s
io
n
4
.
4
(
Stu
d
y
/
St
u
d
y
s
tep
s
/Eig
e
n
f
r
eq
u
e
n
c
y
/Ei
g
en
f
r
eq
u
e
n
c
y
)
.
So
m
e
f
i
n
ite
ele
m
e
n
t
a
n
al
y
s
i
s
r
esu
lt
s
o
f
th
e
s
i
n
g
le
g
y
r
o
s
co
p
e
ac
h
ie
v
ed
b
y
C
OM
SO
L
ar
e
s
h
o
w
n
i
n
Fi
g
u
r
e
8
.
E
ig
en
f
r
eq
u
e
n
cies a
r
e
s
h
o
w
n
i
n
T
ab
le
2
.
(
a)
(
b
)
(
c)
(
d
)
Fig
u
r
e
8.
T
h
e
Fin
ite
E
le
m
e
n
t
An
al
y
s
i
s
R
e
s
u
l
t o
f
G
y
r
o
s
co
p
e
Ob
ta
in
ed
b
y
C
OM
SO
L
: D
r
i
v
i
n
g
M
o
d
e
(
a)
;
S
o
m
e
o
th
er
Mo
d
es (
b
,
c,
d
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
I
mp
r
o
ve
men
t o
f TF
G
Dri
ve
-
mo
d
e
Oscill
a
tio
n
Ma
tch
ed
Usi
n
g
a
Differ
en
tia
l D
r
ivin
g
…
(
T
h
a
n
g
N
g
u
ye
n
V
a
n
)
2723
I
n
t
h
is
s
i
m
u
latio
n
,
t
h
e
s
tiff
n
es
s
o
f
th
e
d
if
f
er
e
n
tial
d
r
i
v
i
n
g
s
u
s
p
en
s
io
n
co
u
p
li
n
g
s
p
r
in
g
b
etw
ee
n
t
w
o
g
y
r
o
s
co
p
es
is
c
h
an
g
ed
to
g
et
t
h
e
o
p
ti
m
al
v
alu
e.
Sp
ec
i
f
icall
y
,
th
e
h
ei
g
h
ts
o
f
t
h
e
co
u
p
li
n
g
s
u
s
p
en
s
io
n
b
ea
m
R
6
in
F
ig
u
r
e
8
o
f
s
tr
u
ct
u
r
e
1
,
2
,
3
ar
e
6
µ
m
,
4
µ
m
,
1
2
µ
m
,
r
esp
e
ctiv
el
y
w
h
ile
t
h
e
r
est
p
ar
a
m
et
er
s
o
f
s
tr
u
ct
u
r
es
ar
e
u
n
c
h
a
n
g
ed
.
So
m
e
f
in
i
te
ele
m
e
n
t
a
n
al
y
s
i
s
r
esu
lt
s
o
f
t
h
e
f
ir
s
t
p
r
o
p
o
s
ed
T
FG
(
s
tr
u
ct
u
r
e
1
)
ac
h
iev
ed
b
y
C
OM
SO
L
ar
e
s
h
o
w
n
i
n
Fi
g
u
r
e
9
(
th
e
s
i
m
ilar
w
a
y
i
s
i
m
p
le
m
e
n
ted
w
it
h
th
e
s
ec
o
n
d
an
d
th
e
t
h
ir
d
T
F
Gs).
So
m
e
o
s
cillatio
n
m
o
d
e
s
o
f
t
h
r
ee
s
tr
u
ct
u
r
es a
r
e
s
h
o
w
n
i
n
t
h
e
T
ab
le
4
.
(
a)
(
b
)
(
c)
(
d
)
Fig
u
r
e
9.
T
h
e
Fin
ite
E
le
m
e
n
t
An
al
y
s
i
s
R
e
s
u
l
t o
f
T
FG
Stru
c
t
u
r
e
1
Ob
tai
n
ed
b
y
C
OM
S
O
L
:
Dr
iv
i
n
g
M
o
d
e
(
a)
;
o
th
er
Mo
d
es (
b
,
c,
d
)
T
ab
le
4
.
L
o
w
est
Dr
i
v
i
n
g
R
elat
ed
Oscill
atio
n
Mo
d
es o
f
T
h
r
ee
T
FG
Str
u
ctu
r
es
M
o
d
e
s
F
r
e
q
u
e
n
c
y
(
H
z
)
S
t
r
u
c
t
u
r
e
1
S
t
r
u
c
t
u
r
e
2
S
t
r
u
c
t
u
r
e
3
F
i
r
st
(
D
r
i
v
i
n
g
mo
d
e
)
2
1
3
9
7
.
9
2
1
1
8
4
.
7
2
1
7
5
1
.
2
S
e
c
o
n
d
4
4
4
4
6
.
8
4
4
2
2
7
.
6
4
4
8
0
1
.
3
T
h
i
r
d
6
3
4
3
6
.
5
6
3
4
2
7
.
9
6
3
4
4
7
.
1
F
o
u
r
t
h
6
5
0
3
2
.
2
6
5
0
2
0
.
9
6
5
0
4
9
.
6
T
h
e
p
ar
am
eter
s
i
n
t
h
e
t
ab
le
4
s
h
o
w
t
h
at
t
h
e
s
tiff
er
t
h
e
d
i
f
f
er
en
tial d
r
iv
in
g
s
u
s
p
en
s
io
n
co
u
p
lin
g
s
p
r
in
g
is
,
th
e
h
ig
h
er
th
e
d
r
iv
in
g
co
n
s
o
n
an
t
f
r
eq
u
e
n
c
y
o
f
T
FG
is
an
d
v
ice
v
er
s
a.
Dr
iv
i
n
g
r
eso
n
a
n
t
f
r
eq
u
e
n
c
y
o
f
t
h
e
f
ir
s
t
s
tr
u
ct
u
r
e
is
s
h
o
w
n
i
n
Fi
g
u
r
e
10.
Du
r
i
n
g
t
h
e
s
i
m
u
lat
i
n
g
p
r
o
ce
s
s
,
t
h
e
s
tr
u
c
tu
r
es
h
a
v
e
t
h
e
s
a
m
e
m
es
h
s
etti
n
g
s
:
s
eq
u
en
ce
t
y
p
e
is
p
h
y
s
ic
s
-
co
n
tr
o
lled
m
e
s
h
a
n
d
el
e
m
en
t
s
ize
i
s
ex
tr
e
m
el
y
co
ar
s
e.
T
h
e
s
tr
u
ct
u
r
e
is
d
esig
n
ed
b
y
p
o
l
y
s
ilico
n
m
ater
ial
an
d
ass
u
m
ed
to
b
e
im
m
er
s
ed
in
air
.
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.
6
,
No
.
6
,
Dec
em
b
er
2
0
1
6
:
2
7
1
6
–
2
7
2
9
2724
T
h
e
t
w
o
d
r
iv
in
g
ex
c
itatio
n
s
i
g
n
als ar
e
ap
p
li
ed
to
th
e
d
r
iv
in
g
co
m
b
s
h
a
v
i
n
g
f
o
r
m
u
las:
(
)
(
1
)
(
)
(
2
)
w
h
er
e
f
1
s
i
g
n
al
is
p
u
t
in
e
ig
h
t
d
r
iv
in
g
co
m
b
f
r
a
m
e
s
o
f
g
y
r
o
s
co
p
e
o
n
th
e
lef
t
a
n
d
f
2
s
i
g
n
al
is
p
u
t
i
n
eig
h
t
d
r
iv
in
g
co
m
b
f
r
a
m
es o
f
g
y
r
o
s
co
p
e
o
n
th
e
r
ig
h
t.
T
h
e
p
r
o
ce
s
s
o
f
s
i
m
u
lati
n
g
r
esu
lt
s
is
i
n
d
i
v
id
u
all
y
p
er
f
o
r
m
ed
f
o
r
ea
ch
ab
o
v
e
s
tr
u
ct
u
r
e.
So
,
f
f
r
eq
u
en
c
y
i
n
E
q
u
a
tio
n
1
a
n
d
Eq
u
atio
n
2
is
th
e
d
r
i
v
in
g
e
ig
en
f
r
eq
u
e
n
c
y
(
th
e
d
r
i
v
in
g
r
eso
n
an
t
f
r
eq
u
e
n
c
y
)
co
r
r
esp
o
n
d
en
t
to
ea
ch
s
tr
u
ctu
r
e.
Fo
r
ex
a
m
p
le,
f
=
2
1
3
9
7
.
9
Hz
is
ap
p
lied
to
s
tr
u
ct
u
r
e
1
.
I
n
t
h
e
co
n
v
e
n
tio
n
a
l
w
o
r
k
i
n
g
p
r
in
cip
le
o
f
t
h
e
t
u
n
in
g
f
o
r
k
g
y
r
o
s
co
p
e,
th
e
f
1
an
d
f
2
t
w
o
e
x
cited
s
ig
n
al
s
ar
e
an
ti
-
p
h
ase.
I
t
m
ea
n
s
t
h
a
t
φ
=1
8
0
d
eg
r
ee
.
Fig
u
r
e
1
0
.
Dr
iv
in
g
R
e
s
o
n
a
n
t F
r
eq
u
en
c
y
o
f
th
e
P
r
o
p
o
s
ed
A
r
ch
itect
u
r
e
1
Ho
w
e
v
er
,
in
t
h
is
s
tu
d
y
th
e
e
x
c
itatio
n
s
i
g
n
al
f
1
is
k
ep
t stab
le
w
h
ile
f
2
i
s
ch
a
n
g
ed
w
i
th
v
ar
io
u
s
φ
p
h
a
s
e:
180
,
1
7
9
.
5
,
1
7
9
,
1
7
8
.
5
,
1
7
8
etc.
in
a
co
m
p
u
ti
n
g
ti
m
e
o
f
a
s
p
ec
if
ic
s
tr
u
ct
u
r
e.
T
h
e
ai
m
o
f
c
h
a
n
g
i
n
g
φ
i
n
f
2
i
s
to
o
b
s
er
v
e
m
ec
h
a
n
ical
v
ib
r
atio
n
d
i
f
f
er
e
n
tial
p
h
ase
o
f
t
wo
d
r
iv
in
g
p
r
o
o
f
-
m
a
s
s
es
in
o
r
d
er
to
d
eter
m
in
e
d
if
f
er
en
t
ial
p
h
a
s
e
co
m
p
e
n
s
atio
n
ab
il
it
y
o
f
t
h
e
p
r
o
p
o
s
ed
T
FGs
w
h
e
n
h
av
i
n
g
th
e
d
i
f
f
er
en
tial p
h
ase
b
et
w
ee
n
t
w
o
in
p
u
t e
x
c
itatio
n
s
i
g
n
al
s
.
Fig
u
r
e
1
1
s
h
o
w
s
a
n
x
-
a
x
is
s
i
m
u
lated
d
is
p
lace
m
en
t p
r
o
f
i
le
o
f
th
e
f
ir
s
t T
FG (
s
tr
u
c
tu
r
e
1
)
at
t
h
e
ti
m
e
o
f
5e
-
4
s
(
Fi
g
u
r
e
1
1
a)
an
d
5
.
1
2
e
-
4
s
(
Fi
g
u
r
e
1
1
b
)
.
I
t
in
d
icate
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th
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p
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FG
Evaluation Warning : The document was created with Spire.PDF for Python.