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111
111
)}2{sin()}2{sin()( tFtFxtx cm
mF)(txcF
xxmF
1 - Amplitude Modulation 2 - Carrier Frequency 3 - Modulating Frequency
121
5-1
121
5-2
)}2sin()2sin{()( tFtFxtx mc
mF)(txcF
1 - Frequency Modulation 2 - Sideband
122
5-3
5-4
123
5-5
124
Backlash
1 - Transmission Error
125
1 - Spectrum 2 - Mesh Frequency (MF)
121
5-1
121
Backlash
1200 rpm(20Hz)
50mSec20Hz
121
5-1
Backlash
4228 rpm1537 rpm
121
5-1
338220 rpm
1.3g
5-15-11
131
0.7g
Xls
5-11
5-12
Backlash
Backlash
1 - Cepstrum
131
5-13
Backlash
5-14
5-15
Backlash
5-11
132
)}({log)( 1 fSFC xx
2 )}({)( tSFfS xxx
5-11
Quefrency Frequency
GamnitudeMagnitudeLifterFilter
1 - Power Cepstrum
133
RahmonicHarmonicx
QuefrencyyGamnitude
1f 2 f
Quefrency1 /1 f2 /1 f
25Hz5.65Hz16.66Hz
750Hz316.54Hz
5-11
134
5-11
25Hz16.66Hz
Quefrency0.040.06
135
5-21
25Hz16.66HzQuefrency
0.04
Quefrency0.06
16.66Hz
750Hz
316.54Hz
1 - Rahmonic
131
5-21
5-22
Autocorrelation
2
)()()( fHfSfS xyxxyy
)(log2)(log)(log fHfSfS xyxxyy
131
})(log2{)}({log)}({log 111 fHFfSFfSF xyxxyy
TSA
NA4NA4*
RES
1 - Time Synchronous Averaging 2 - Residual Processing
131
RES
FM4M6AM8A
DIF
BPM
)(tA
)]([ tA H)(tE
22 )]([ )()( tAHtAtE
)(tANB4
nxN
1 - Differential Processing 2 - Band-Pass Mesh Processing (BPM)
131
N
n
nxN 1
21RMS
2
4
.
1
N
xxk
N
n n
nxN
RMS
RMS
RMS
levelPeakFactorCrest
FM0
FM0
1 - Kurtosis 2 - Crest Factor
141
)(
PPA FM 0
ifA
NA4
2
2
4
1 1
1
)(1
)(.
4NA
m
j
N
i
jji
N
i
i
rrm
rrN
ir
NA4*
NA4
2
2
4
)~
(
)(.1
*4NA 1
M
rrN
N
i
i
2
~M
FM4
141
2
2
4
1
1
)(
)(.
4FM
N
i
i
N
i
i
dd
ddN
d
M6AM8A
FM4
3
2
62
1
1
)(
)(.
A6M
N
i
i
N
i
i
dd
ddN
4
1
1
83
2)(
)(.
A8M
N
i
i
N
i
i
dd
ddN
NB4
NA4
BPM
2
2
4
1 1
1
)(1
)(.
4NB
m
j
N
i
jji
N
i
i
EEm
EEN
)(tE
142
FS
FC
FBPI
143
FBPO
FB
5-23
ViVcVo
DbDc
θ
FS
FCVc
Fc
c
oi
c
cC
D
VV
r
VF
144
5-24
FCFi
Fo]2/)[( CosDrr bci
]2/)[( CosDrr bco
2
2
1 CosDDF
CosDDF
D
D
rFrF
D
VVF
bco
bci
c
c
ooii
c
oiC
FBPI
c
boi
B
i
c
bcobciB
i
c
ooiiBiCBBPI
D
CosDFF
N
FD
CosDrFCosDrFN
FD
rFrFNFFNF
1
2
2/ 2/
145
FBPOFBPIFBPO
c
boi
B
o
c
bcobciB
o
c
ooiiBoCBBPO
D
CosDFF
N
FD
CosDrFCosDrFN
FD
rFrFNFFNF
1
2
2/ 2/
FB
FBPIFBPO
2
22
12
c
boi
b
c
b
oCo
b
iCiB
D
CosDFF
D
D
r
rFF
r
rFFF
c
bSC
D
CosDFF
1
2
1
c
bS
BBPO
D
CosDF
NF
1
2
c
bS
BBPI
D
CosDF
NF
1
2
2
22
12
c
bS
b
cB
D
CosDF
D
DF
141
FBPIFBPO
FBPIFBPO
2FBFBPI
FBPO
2FB
141
5-25
5-21
141
IRDgSESchenck
BearconBCUBearing Condition Unit
1 - Enveloping Spectrum
141
Bearcon
BCU
Bearcon
5-21Bearcon
151
5-21