Diagnostic Chart
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IRD
Mechanalysis
(UK)
Ltd.
VIBRATION
FREQUENCIES
AND
THE
LIKELY
CAUSES
Frequency
In
Other
Possible
Causes
&
Remarks
Terms
of
RPM
Most
Likely
Causes
1
x
RPM
Unbalance
1)
Eccentric
journals,
gears
or
pulieys
2)
Misalignment
or
bent
shaft
-
if
high
axial
vibration
3)
Bad
belts
if
RPM
of
belt
4)
Resonance
5)
Reciprocating
forces
6)
Electrical
problems
2x
RPM
Mechanical
1)
Misalignment
if
high
axial
vibration
Looseness
2)
Reciprocating
forces
3)
Resonance
4)
Bad
belts
if
2
x
RPM
of
belt
3
x
RPM
Misalignment
Usually
a
combination
of
misalignment
and
excessive
axial
clearances
(looseness).
Less
than
Oil
Whirl
(Less
than
¥2
RPM)
1)
Bad
drive
belts
1
x
RPM
2)
Background
vibration
3)
Sub-harmonic
resonance
4)
"Beat"
Vibration
Synchronous
Electrical
Problems
Common
electrical
problems
include
broken
rotor
bars,
eccentric
(A.C.
Line
rotor,
unbalanced
phases
in
poly-phase
systems,
unequal
air
gap.
Frequency)
2
x
Synch.
Torque
Pulses
Rare
as
a
problem
unless
resonance
is
excited
Frequency
Many
Times
RPM
{Harmonically
Related
Freq).
Bad
Gears
Aerodynamic
Forces
Hydraulic
Forces
Mechanical
Looseness
Reciprocating
Forces
Gear
teeth
times
RPM
if
bad
gear
Number
of
fan
blades
times
RPM
Number
of
impeller
vanes
times
RPM
May
occur
at
2,3,4
and
sometimes
higher
harmonics
if
severe
looseness
High
Frequency
(Not
Harmonically
Related)
Bad
Anti-Friction
Bearings
1)
Bearing
vibration
may
be
unsteady
-
amplitude
and
frequency
2)
Cavitation,
recirculation
and
flow
turbulence
cause
random,
high
frequency
vibration
3)
Improper
lubrication
of
journal
bearings
(Friction
excited
vibration)
4)
Rubbing
2
IRDIVA1/95
FORM
VIBFREQ
VIBRATION
IDENTIFICATION
CAUSE
AMPLITUDE
FREQUENCY
PHASE
REMARKS
!
Unbalance
Proportional
to
1
x
RPM
Single
Most
common
cause
of
Vibration
unbalance.
Largestin
Reference
radial
direction
Mark-stable
repeatable
Misalignment
Large
in
axial
1
x
RPM
usual
|
Single
Best
found
by
appearance
of
large
Couplings
or
direction
50%
or
2&
3
xRPM
Double
or
axial
vibration.
Use
dial
indicators
or
Bearings
and
more
of
radial
sometimes
Triple
other
method
for
positive
diagnosis.
If
Bent
Shaft
vibration
sleeve
bearing
machine
and
no
coupling
misalignment,
balance
the
rotor.
Bad
Bearings
Unsteady-use
Very
high
Erratic
-
Bearing
responsible
most
likely
the
Anti-Friction
velocity,
acceleration,
|
Several
times
Multiple
one
nearest
point
of
largest
high
Type
and
Spike
Energy
RPM
Marks
frequency
vibration.
Spike
Energy
Measurements
measurement
recommended
when
analysing
bearing
failures
“ccentric
Usually
not
large
1
x
RPM
Single
If
on
gears
largest
vibration
in
line
with
wournals
Mark
gear
centers.
If
on
motor
or
generator
vibration
disappears
when
power
is
turned
off.
If
on
pump
or
blower
attempt
to
balance
Bad
Gears
or
Low-Use
Very
High
Erratic
-
Velocity,
Acceleration
and
Spike
Gear
Noise
Velocity,
Acceleration,
|
Gear
Teeth
Multiple
Energy
measurements
recommended
and
Spike
Energy
times
RPM
Marks
when
analysing
gear
problems.
Measurements
Analyse
higher
orders
and
sideband
frequencies
Mechanical
Sometimes
2
x
RPM
Two
Usually
accompanied
by
unbalance
Looserness
erratic
Reference
and/or
misalignment
Marks,
Slightly
Erratic
Drive
Erratic
or
1,2,3%4
x
RPM
|
One
or
Two
|
Strobe
Light
best
tool
to
freeze
faulty
Belts
Pulsing
of
Belts
Depending
Belt.
on
Frequency,
i
Usually
Unsteady
Electrical
Disappears
when
1
x
RPM
Single
or
If
vibration
amplitude
drops
off
power
is
turned
off
ortor2
Rotating
instantly
when
power
is
turned
off
X
synchronous
Double
Mark
|
cause
is
electrical.
Mechanical
and
frequency
electrical
problems
will
produce
"beats".
Aerodynamic
or
Can
be
large
in
1
x
RPMor
Multiple
Rare
as
a
cause
of
trouble
except
in
Hydraulic
Forces
the
axial
direction
Number
of
Marks
cases
of
resonance.
blades
on
fan
or
impeller
x
RPM
Reciprocating
Higher
in
line
1,
2,
&
higher
Multiple
Inherent
in
reciprocating
chhines,
Forces
with
motion
orders
x
RPM
Marks
can
only
be
reduced
by
design
changes
or
isolation
©
1987
IRD
Mechanalysis
Inc.
TABLE
6.0
1LLUSTRATED.
VIBRATION
DIAGNOSTIC
CHART
PROBLEM
TYPICAL
PHASE
SOURCE
SPECTRUM
RELATIONSHIP
REMARKS
X
"
MASS
UNBALANCE
RADIAL
Force
Un?iatmce
wiibybe
in-phase
and|st
|
Amplitude
due
to
un-
balance
will
increase
by
the
square
of
X
speedincrease
=
89X
A.
FORCE
UNBALANCE
higher
vibration).
1X
RPM
ahways
present
and
normally
dommnates
(
5&‘\*‘\
q
spectrum.
Can
be
corrected
by
placement
of
only
one
balance
weight
S
in
one
plane
at
Rotor
center
of
gravity
(CG).
8.
COUPLE
UNBALANCE
21X
Couple
Unbalance
tends
toward
180°
out-of-phase
on
same
shah
1X
RADIAL
=
always
present
and
normally
dominates
spectrum.
Amplitude
varies
with
square
of
increasing
speed.
May
cause
high
axial
vibrations
as
well
as radial.
Correction
requires
placement
of
balance
weights
in
at
1=
least
2
planes.
Note
that
approx.
180"
phase
difference
should
exist
between
OB
&
IB
horizontals
as
well
as
OB
&
1B
venticals.
C.
OVERHUNG
ROTOR
UNBALANCE
Qverhung
Rotor
Unbalance
causes
high
1X
RPM
in
both
Axial
and
Radial
directions.
Axial
readings
tend
to
be
in-phase
whereas
radial
phase
readings
might
be
unsteady.
Overhung
rotors
often
have
both
force
and
couple
unbalance,
each
of
which
will
likely
require
correction.
ECCENTRIC
ROTOR
1X
FAN
1X
MOTOR
'BENT
SHAFT
Eccentricity
occurs
when
center
of
rotation
is
offset
from
geometric
centeriine
of
a
sheave,
gear,
bearing,
motor
amature,
etc.
Largest
vibration
occurs
at
1X
RPM
of
eccentric
componentin
a
direction
thru
centers
of
the
two
rotors.
Comparative
horizontal
and
vertical
phase
readings
usualty
differ either
by
0°
or
by
180°
(each
of
which
indicate
straight-ine
motion).
Attempts
to
balance
eccentric
rotor
often
resutt
in
reducing
vibration
in
one
direction,
butincreasingit
in
the
other
radial
direction
(depending
on
S
rl\t
?ffleccentricity).
_WM
T
[
Bent
Shaft
problems
cause
high
axial
vibration
with
axial
phase
differences
tending
toward
180°
on
the
same
machine
component.
Dominant
vibration
normally
at
1X
if
bent
near
shaft
center,
but
at
2Xif
bentnear
the
coupking.
(Be
careful
to
account
for
transducer
orientation
for
each
axial
measurement
if
you
reverse
probe
direction.)
MISALIGNMENT
A.
ANGULAR
MISALIGNMENT
Anguiar
Misalignmentis
characterized
by
high
axial
vibration,
180°
out-
.
of-phase
across
the
coupling.
Typically
will
have
high
axial
vibration
with
both
1X
anid
2X
RPM.
However,
not
unusual
for
either
1X,
2X
or
3X
to
dominate.
These
symptoms
may
also
indicate
coupling
problems
as
well
o&w’(
B.
PARALLEL
MISALIGNMENT
x
2X
h
!‘l
3X
RADIAL
Offset
Misalignment
has
simitar
vibration
symptoms
to
Angular,
but
shows
high
radial
vibration
which
approaches
180°
out-of-phase
across
coupling.
2X
often
larger
than
1X,
but
its
height
relative
to
1Xis
often
dictated
by
coupling
type
and
construction.
When
either
Anguiar
or
Radial
Misaignment
becomes
severe,
can
generate
either
high
amplitude
peaks
at
much
higher
harmonics
(4X-8X)
or
even
a
whole
series
of
high
frequency
harmonics
similar
in
appearance
to
mechanical
looseness.
construction
will
often
greatly
influence
shape
of
spectrum
when
misalignment
is
severe.
_C.
MISALIGNED
BEARING
COCKED
ON
SHAFT
1X2X
X
AXIAL
Cocked
Bearing
wil
generate
considerabie
axial
vibration.
Will
cause
Twisting
Motion
with
approximatedy
180°
phase
shift
top
to
bottom
and/or
side
to
side
as
measured
in
axial
direction
of
same
bearing
housing.
Attempts
to
align
coupling
or
balance
the
rotor
will
not
alleviate
problem.
Bearing
must
be
removed
and
comrectly
installed.
RESONANCE
Y
cloesnt
Cree
g
¥
mant
1}
]\10
d(red{o\«&
w
oane
(X9
Resonance
occurs
when
a
Forcing
Frequency
coincides
with
a
System
Natural
Frequency,
and
can
cause
dramatic
ampitude
ampiification,
which
can
resultin
premature,
or
even
catastrophic
falure.
This
may
be
a
natural
frequency
of
the
rotor,
but
can
often
originate
from
support
frame,
founda-
tion,
gearbox
or
even
drive
beits.
If
a
rotor
is
at
or
near
resonance,
it
will
be
almost
impossible
to
balance
due
to
the
great
phase
shift
it
expeniences
(90°
at
resonance;
nearly
180°
when
passes
thru).
Often
requires
changing
natural
frequency
location.
Natural
Frequencies
do
notchange
with
a
change
in
speed
which
helps
facilitate
their
identification.
MECHANICAL
LOOSENESS
—
we
Rave
o
idesty
N
¢
c.d\c\
Qw(m;ni@
.
Yrwncaked
u
Ao
miwaed
\AQOAO\
i
|
generatycausedbybosepiowbbekboks.cradshtheharneswcue
or
bearing
pedestal.
Type
C
is
normally
generated
by
improper
fit
between
component
parts
which
will
cause
many
harmonics
due
to
nonlinear
response
of
loose
parts
to
dynamic
forces
from
rotor.
Causes
atruncation
of
time
waveform.
Type
C
is
often
caused
by
a
bearing
iner
loose
inits
cap,
excessive
clearance
n
either
a
sleeve
or
roling
element
bearing,
or
aloose
impetier
on
ashatt,
Type
C
Phaseis
often
unstable
and
may
vary
widely
from
one
measurement
to
next,
particularly
if
rotor
shifts
position
on
shatt
from
one
startup
to
next.
Mechanical
Looseness
is
often
highly
directional
and
may
cause
noticeably
differentreadings
if
compare
levels
at
30°
increments
in
radial
direction
all
the
way
around
one
bearing
housing.
Also,
note
that
looseness
will
often
cause
subharmonic
multiples
atexactly
1/2
or
/3
X
RPM
(.5X,
1.5X,
2.5X,
etc).
Pg.
1
of
4
©COPYRIGHT
1990
-
TECHNICAL
ASSOCIATES
OF
CHARLOTTE,
INC.
R-0782-3
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R
AT
g,
TABLE
6.0
iLLU
TRATLD
vionanon
DIAGNOSTIC
CHART
REMARKS
Rotor
Rub
produces
simiar
spectra
to
Mechanical
Looseness
when
rotating
parts
contact
stationary
components.
Rub
may
be
either
partial
or
throughout
the
whole
revolution.
Usually
generates
a
seres
of
frequencias,
often
exciting
one
or
more
resonances.
Often
excites
integer
fraction
subharmonics
of
running
speed
(1/2,
1/3,
1/4
1/5,..1/n),
depending
onlocation
of
rotor
natural
frequencies.
Rotor
rub
can
excite
many
high
frequencies
(similar
to
wide-band
noise
when
chalk
is
drug
a
blackbosrd).
It
¢an
be
very
sefious
ahd
of
short
duration
if
caused
by
shaft
contacting
bearing
babbitt;
but
less
serious
when
shaft
rubbing
&
s8al,
an
agitator
blade
rubbing
the
wall
of
a
tank,
or
a
couping
querd
pressing
against
a
shaft.
PROBLEM
TYPICAL
SOURCE
SPECTRUM
ROTOR
RUB
RADIAL
%
5T
.5
B
@
Ml
l
j
/A
TRUNCATED
FLATTENED
WAVEFORM
SLEEVE
BEARINGS
o
A.
WEAR
/
CLEARANCE
|
=
5
&
PROBLEMS
A
1
}t
Faoy
A
L
13
Latter
stages
of
sleeve
bearing
wear
are
normally
evidenced
by
presence
of
whote
series
of
running
speed
harmonics
(up
to
10
or
20).
Wiped
slgeve
bearings
often
will
allow
high
vertical
amplitudes
compared
1o
horizontal.
Sleeve
bearings
with
excessive
clearance
may
aliow
a
minor
unbalance
andior
misalignment
10
cause
high
vibration
which would
be
much
lower
if
bearing
clearances
were
to
spec.
B.
OIL
WHIRL
INSTABILITY
(.42
-.48X
RPM)
X
RADIAL
Oil
Whirl
instability
occurs
at
42
-
.48
X
APM
and
is
often
quite
severe.
Considered
excessive
when
amplitude
exceeds
50%
of
bearing
clearances.
Oit
Whirl
is
an
oil
film
excited
vibration
where
deviatons
in
normal
operating
conditions
(attitude
angle
and
eccentricity
ratio)
cause
oil
wedge
to
“'push”
shaft
around
within
bearing.
Destabilizing
force
in
direction
of
rotation
resutts
in
a
whirl
(or
precession).
Whirl
is
inherentty
unstable
since
it
increases
centritugal
forces
which
increase
whirt
forces.
Can
cause
oil
to
no
longer
support
shaft,
or
can
become
unstable
when
whirl
frequency
coincides
with
a
rotor
natural
frequen-
¢cy.
Changes
in
oil
viscosity,
lube
pressure
and
external
preloads
can
affect
oil
whirl.
ROTOR
SPEED
MASS
oL
whe
|
On
wHIP
WMNCLE
A
soqcmafvm
C.
OIL
WHIP
‘
INSTABILITY
2
=
e
Hawlet!
Packard
“Applcations
Note
24317,
Fig.
4.3-2,
Page
30
Qil
Whip
may
occur
if
machine
operated
at
or
above
2X
rotor
critical
frequency.
When
rotor
brought
up
o
twice
critical
speed,
whirt
will
be
very
close
to
rotor
critical
and
may
cause
excessive
vibration
that
oll
fim
may
nio
longer
be
capable
of
supporting.
Whirt
speed
will
actually
“lock
onto”
rotor
critical
and
this
peak
wil
not
pass
thru
it
even
if
machine
broughtto
higher
and
higher
speeds.
DOMINANT
FAILURE
SCENARIO
ROLLING
ELEMENT
BEARINGS
(4
Failure
Phases)
ZONE
B
ZONE
C
20NE
BEARING
DEFECT
BEARING
COMPOMN.
o
FREQ
REGION
NATURAL
FREQ.
SPIKE
ENERGY
IOKE
A
REQION
b3
8|
smoen
4
1i;
}
BEARING
DEFECT
FREQUENCIES:
g
apm-_’;n.(‘
+%cose)xm
W_%D_Q-%cosgxw
2
2
asp-zgé_f
1y
(ccse;]xw
m-%_q—%mse)xm
g
g
g
§
L‘L—
-
W
ale
sl
i
|
|,
=
Natural
Frequencies
of
N7
instaked
Bearing
Components
STAGE
2.
Np
=
Number
of
Balls
or
Rolers
snaes
3
g
kLs”-fn‘}?un“"o"'
>
By
=
Bal/Aoker
Diameter
(in
or
mm)
RANDOM
HIGH
1
ese
Py
=
Bearng
Pitch
Diameter
(in
or
mm)
FREQ.
VIBRATION
72
8 =
Contact
Angio
(Sogrees)
[y
W
l
{
1132000K
AR
™
{4\
CPM
4
ROLLING
ELEMENT
BEARING
FAILURE
STAGES:
STAGE
1:
Earfiest
indibations
of
bearing
problems
ar
in
witrasonic
frequencies
ranging
from
approximately
20,000-60,000
Hz
(1,200,000-3,600,000
CPM). These
are
frequencies
evaluated
by
Spike
Energy
(gSE),
HFD{g)
and
Shock
Pulse
(dB).
For
exampie,
spke
energy
may
first
appear
at
about
.25
gSE
in
Stage
1
(actual
value
depending
on
measurement
jocation
and
machine
speed).
STAGE
2:
Skght
bearing
defects
begin
to
“ring"
bearing
component
natural
frequenciesifn)
which
predominantly
occur
in
30K-120K
CPM
range.
Sideband
frequencies
appear
above
and
below
natural
frequency
peak
at
end
of
Stage
2.
Spike
energy
grows
{for
exampie,
from
.25
to
.50
gSE).
=
§
]
=
SKEBANG
l
1\
_FREQ
STAGE
3:
Bearing
defect
frequencies
and
harmonics
appesr
(see
page
entitled
"Rotiing
Element
Bearing
Defect
Frequencies').
When
wear
progresses,
more
defect
frequency
harmonics
appear
and
number
of
sidebands
grow,
both
around
these
and
around
bearing
natwal
fre-
quencies.
Spike
energy
continues
to
increase
(for
exampie,
from
Sto
over
1
gSE).
Wear
is
now
usually
visible
and
may
extend
throughout
periphery
of
beanng,
particutarty
when
wed
tormed
sidebands
accomp-
any
bearing
defect
frequency
hammonics.
Replace
bearings
now.
STAGE
4:
Towards
the
end,
ampiitude
of
1X
RPM
is
even
effected.
it
Grows,
and
nomally
causes growth
of
many
running
speed
harmonics.
Discrete
bearing
defect
and
component
natural
frequencies
actually
begin
to
“disappear’
and
are
replaced
by
random,
broad
band
high
frequency
“noise
fioor”".
In
addition,
ampktudes
of
both
high
frequency
noise
fioor
and
spike
energy
may
in
fact
decrease;
but
jst
prior
to
failure,
spike
energy
will
usually
grow
to
excessive
ampiitudes.
HYDRAULIC
AND
BPF
=
#
Blades
X
RPM
AERODYNAMIC
FORCES
A.
BLADE
PASS
&
e
VANE
PASS
=
RANDOM
B.
FLOW
TURBULENCE
3
n
8""§§§§%2’és
|
|
C.
CAVITATION
A
—1
IM—..\
120K
CPM
Blade
Pass
Frequency
(BPF)
=
No.
of
Blades
(or
Vanes)
X
RPM.
This
frequency
is
inherent
in
pumps,
fans
and
compressars,
and
normally
does
not
present
a
probiem.
However,
large
amplitude
BPF
(and
har-
monics)
can
be
generated
in
pump
if
gap
between
rotating
vanes
and
stationary
diffusers
is
not
kept
equal
all
way
around.
Also,
BPF
(or
har-
monic)
somatimes
can
coincide
with
a
system
natural
frequency
caus-
ing
high
vibration.
High
BPF
can
be
generated
if
impeller
wear
ring
seizes
on
shaft
or
if
welds
fastening
diffusers
fail.
Also,
high
BPF
can
be
caused
by
abrupt
bends
in
pipe
(or
duct),
obstructions
which
disturb
tlow,
o
if
pump
or
fan
rotor
is
positioned
eccentrically
within
housing.
Flow
Turbulence
often
occurs
in
blowers
due
to
variations
in
pressure
or
velocity
of
the
air
passing
thru
the
fan
or
connected
ductwork.
This
flow
disruption
causes
turbulence
which
will
generate
random,
low
fre-
quency
vibration,
typically
in
the
range
of
50
to
2000
CPM.
Cavitation
normally
generates
random,
higher
frequency
broadband
energy
which
is
sometimes
superimposed
with
blade
pass
frequency
harmonics.
Normally
indicates
insufficient
suction
pressure
{starvation).
Cavitation
can
be
quite
destructive
to
pump
internals
if
left
uncorrected.
It
can
particularly
erode
impeller
vanes.
When
present,
if
often
sounds
as
if
“'gravel”
is
passing
thru
pump.
Pg.
2
of
4
©COPYRIGHT
1990
-
TECHNICAL
ASSOCIATES
OF
CHARLOTTE,
INC.
R-0792-3
TABLE
6.0
ILLUSTRATED
VIBRATI1ON
DIAGNOSTIC
CHART
PROBLEM
TYPICAL.
SOURCE
SPECTRUM
REMARKS
G
EA
RS
E
RADIAL-SPUR
{ALL
GEAR
SPECTRA]
FREQ.
Normat
Spectrum
shows
1X
and
2X
RPM,
along
with
Gear
Mesh
Fre-
quency
(GMF).
GMF
commoniy
will
have
runming
speed
sidebands
GMF
|
.soeeano
around
it.
All
peaks
are
of
low
amplitude,
and
no
natural
frequencies
.
J
j
1\
_FREQ
of
gears
are
excited.
AXIAL-HELICAL
GMF
=
GEAR
MESH
A.
NORMAL
SPECTRUM
.
1X
PINION
GMF
=
8
Teath
X
RPM
Ltk
Key
indicator
of
Tooth
Wear
is
excitation
of
Gear
Natural
Frequency,
along
with
sidebands
around
it
spaced
at
the
running
speed
of
the
bad
.
B.
TOOTH
WEAR
%
R
J
gear.
Gear
Mesh
Frequency
(GMF)
may
or
may
not
change
in
amplitude,
In
«
GEAR
NAT'L
although
high
amplitude
sidebands
surrounding
GMF
usually
occur
FRE
when
wear
is
noticeabls.
Sidebands
may
be
a
better
wear
indicator
than
GMF
frequencies
themselves.
Gear
Mesh
Frequencies
are
often
very
sensitive
10
load.
High
GMF
ampiitudes
do
not
necessarily
indicate
a
problem,
particulariy
if
side-
band
trequencies
remain
low
level
and
no
gear
natura!
frequencies
are
L)
|
,
excitqu
Each
Anatysis
should
be
performed
with
system
at
maximum
1
AT
operating
load.
C.
TOOTH
LOAD
E
Fairly
high
amplitude
sidebands
around
GMF
often
suggest
gear
@
eccentricity,
backiash,
or
non-parallel
shafts
which
allow
the
rotation
A
of
one
gear
to
‘modulate’
the
running
speed
of
the
other.
The
gear
D.
GEAR
ECCENTRICITY
AND
BACKLASH
fn
i
with
the
problem
is
indicated
by
the
spacing
of
the
sideband
1
frequencies.
improper
backlash
normally
excites
GMF
and
Gear
Natural
Frequency,
both
of
which
will
be
sidebanded
at
1X
RPM
GMF
amplitudes
will
often
decrease
with
increasing
load
if
backliash
is
the
problem.
-
-
-
£
Ea
Gear
Misalignment
almost
always
excites
second
order
or
higher
GMF
E.
GEAR
MISALIGNMENT
g
A
harmonics
which
are
sidebanded
at
running
speed.
Often
will
show
only
1X
GEAR
small
amplitude
1X
GMF,
but
much
higher
levels
at
2X
or
3X
GMF
Important
to
set
FpmAx
high
encugh
to
capture
atleast
2
GMF
harmonics
if
transducer
system
has
the
capability.
P
=
-,
-
=
GMF
F.
CRACKED
/
,
.
)
o
e
BROKEN
TOOTH
A
Cracked
or
Broken
Tooth
will
generate
a
high
amplitude
a1
1X
RFM
TIME
of
this
gear,
plus
it
will
excite
gear
natural
frequency
(f,)
sidebanded
WAVEFORM
at
its
running
speed.
It
is
best
detected
in
Time
Wavetorm
which
will
e
o
T
e
|
show
a
pronounced
spike
every
time
the
problem
tooth
tries
10
mash
A
i
A
&
D
with
teeth
on
the
mating
gear.
Time
between
impacts
(A)
will
a.fi-
OF
GEAR
WITH
BROXEN
OR
correspond
to
1/speed
of
?ear
with
the
problem.
Ampiitudes
of
M
CRACKED
TOOTH
impact
Spikes
in
Time
Wavelorm
often
will
be
much
higher
than
that
1X
GEAR
APM
of
1X
Gear
RPM
in
FFT.
G.
HUNTING
TOOTH
Hunting
Tooth
Frequency
(fiyT)
is
particularly
effective
for
detecting
faults
PROBLEMS
on
both
the
gear
and
pinion
that
might
have
occurred
during
the
1
»_(GMFYN3)
manufacturing
process
or
due
to
mishandling.
It
can
cause
quite
high
T
searXT
piNiON?
vibration,
but
since
it
occurs
at
low
frequencies
predominately
less
than
600
CPM,
it
is
often
missed.
A
gear
set
with
this
tooth
repeat
problem
normally
emits
a
‘'growling’”
sound
from
the
drive.
The
maximum
ef-
fect
occurs
when
the
faulty
pinion
and
gear
testh
both
enter
mesh
at
the
same
time
(on
somsa
drives,
this
may
occur
only
1
of
every
10
to
20
revolutions,
depending
on
the
fy1
formula).
Note
that
TG
AR
and
TRINION
refer
to
number
of
teeth
on
gear
and
pinion,
respectively.
Na
=
number
of
unique
assembly
phases
for
a
given
tooth
combina-
tion
which
equals
the
product
of
prime
factors
common
10
the
number
of
teeth
on
each
gear.
b
14T
b—
2lyy
Ewees
1X
RPM
-
2X
APM
ELECTRICAL
PROBLEMS
Stator
problams
generata
high
vibration
at
2X
line
frequency
(2F).
Stator
.
RADIAL
2F
F,
=
LINE
FREQ.
6ccentricity
produces
uneven
stationary
air
gap
between
rolor
and
stator
A
ngFO(PEgCLCAEP:JILTTCIgg’S
t
t
(3800
CPM)
which
produces
very
directional
vibration.
Differential
Air
Gap
should
not
exceed
5%
for
induction
motors
and
10%
for
synchronous
motors.
AND
LOOSE
{RON
2x
Soft
foot
and
warped
bases
can
produce
an
eccentric
stator.
Loose
iron
is
due
to
stator
support
weakness
or
looseness.
Shorted
stator
lamina-
12K
CPM
tions
can
cause
uneven,
localized
heating
which
can
bow
a
motor
shaft.
Produces
thermally-induced
vibration
which
can
significantly
grow
with
operating
time.
P—
1X
B.
ECCENTRIC
ROTOR
RADIAL
e
Eccentric
Rotors
produce
a
rotating
variable
air
gap
between
rotor
and
(Variable
Air
Gap)
stator
which
induces
pulsating
vibration
(normally
betwesn
2F|
and
P
Line
/_D_z*
g0l
| &
x
Fo
SIDEBANDS
ND
2F
closest
running
speed
harmonic
).
Oftgnreq&eg“zoom"spectmmto
NS
-
sm:m“w
."fm
o
:-
P
AROUI
L
separate
2F|_andrunning
speedharmoni.
Eccentric
rotors
generate
2F_
:
=t
Lrp0HE
]
‘L
4
surrounded
by
Pole
Pass
frequency
sidebands
(Fp),
as
well
as
Fp
side-
£g
-
Swp
Freq.
=
Ng
-
RPM
12K
CPM
bands
around
running
speed.
Fp
appears
itself
at
low
frequency.
(Fole
Fp
«
Pole
Pass
Freq.
=
Fg
X
P
-
Pass
Frequency
=
Slip
Frequency
X #
Poles).
Common
values
of
Fp
P
=
&
Poles
range
from
approximately
20
to
120
CPM
(.30
-
2.0
Hz).
.
RADIAL
£,
SIDEBANDS
AROUND
1X.
2X,
3x..
Broken
or
Cracked
rotor
bars
or
shorting
rings,
bad
joints
betweer
rotor
C.
ROTOR
PROBLEMS
oo
2x
ax
bars
and
shorting
rings,
or
shorted
rotor
laminations
will
produce
high
1X
running
speed
vibration
with
pole
pass
frequency
sidebands
(Fp).
In
ek
addition,
cracked
rotor
bars
often
wil
generate
Fp
sidebands
around
the
ROTOR
.
2F_
SIDEBANDS
AROUND
RBPF
third,
fourth
and
fifth
running
speed
harmonics.
Loose
rotor
bars
are
AIR-GAP
P
ABPF
indicated
by
2X
line
frequency
(2F(
)
sidebands
surrounding
Rotor
Bar
Comk—x—
1X
RBPF
=
ROTOR.BAR
Pass
Frequency
(RBPF)
and/or
its
harmonics
(RBPF
=
Number
of
Bars
MAGHETIC
HELDL
T
:
2%
PASS
FREQ.
X
RPM).
Often
will
cause
high
levels
at
2X
RBPF,
with
only
a
small
=
#
BARS
X
RPM
amplitude
at
1X
RBPF.
2F
Phasing
problems
due
1o
10038
or
broken
CONNECIOrs
Can
causa
ex-
D.
PHASING
PROBLEM
RADIAL
t
cessive
vibration
at
2X
Line
Frequency
(2F{
)
which
will
have
sidebands
(Loose
Connector)
113
F|
SIDEBANDS
around
it
at
one-third
Line
Frequency
(/3
Fi).
Levels
at
2F;
can
ex-
LN
S
-4
AROUND
2F(
cead
1.0
infsec
if
left
uncorrected.
This
is
particularly
a
problem
if
the
1
[
4
11
defective
connector
is
only
sporadically
making
contact
and
periodicai-
ly
not.
COIL
PASS
FREQ.
Loose
stator
coils
in
synchronous
motors
will
generate
fairly
high
vibra-
E.
SYNCHRONOUS
MOTORS
1X
RPM
tion
at
Coil
Pass
Frequency
(CPF)
which
equals
numbar
ot
stator
coils
{Loose
Stator
Coils)
ox
A
SIDEBANDS
X
RPM
(#
Stator
Coils
=
#
Poles
X
#
Coils/Pole).
The
Coil
Pass
Fre-
11
quency
will
be
surrounded
by
1X
RPM
sidebands.
6F,
=
DC
motor
problems
can
be
detected
by
higher
than
normat
amplitudes
F.
DC
MOTOR
PROBLEMS
L
=
SCRFIRING
FREQ.
at
SCR
Firing
Frequency
(6F_
)
and
harmonics.
Thesa
problems
include
X
broken
fieid
windings,
bad
SCHs
and
loose
connections.
Other
problems
ij
including
loose
or
blown
fuses
and
shorted
control
cards
can
cause
high
amplitude
peaks
at
1X
thru
5X
Line
Frequency
(3600
-
18000
CPM).
Pg.
3
of
4
©COPYRIGHT
1990
-
TECHNICAL
ASSOCIATES
OF
CHARLOTTE,
INC.
R-0792-3
TABLE
6.0
ILLUSTRATED
VIBRAT!ON
DIAGNOSTIC
CHART
PROBLEM
TYPICAL
SOURCE
SPECTRUM
REMARKS
BELT
DRIVE
PROBLEMS
T
e
GaT
PO,
<
1142
X
P
A
X
TN
O
A.
WORN,
LOOSE
OR
MISMATCHED
BELTS
HARMONICS
s
FREQUENCY
ELT
PADIAL
IN
LINE
WITH
BELTS
TIMING
BELT
FREQ.
»
BELT
FREQ.
X
§
BELT
TEETH
=
PULLEY
RPM
X
#
PULLEY
TEET
e
Belt
frequencies
are
below
the
RPM
of
either
the
motor
or
the
driven
e
Machine.
When
mer
are
worn,
loose
or
mismatched,
they
normally
6
cause
3
to
4
multiples
of
belt
frequency.
Often
2X
beft
frequency
is
the
dominant
peak.
Amplitudes
are
normally
unsteady,
sometimes
pulsing
with
either
driver
or
driven
RPM.
On
timing
belt
drives,
wear
r
pulfey
misalignment
is
indicated
by
high
amplitudes
at
the
Timing
Beit
Frequency.
B.
BELT
/
SHEAVE
MISALIGNMENT
OFF
SETiE
PIDGEON
{|
TOE
;E
ANGLE
AXIAL
1X
DRIVER
OR
DRIVEN
Misalignment
of
sheaves
produces
high
vibaration
at
1X
RPM
predom:-
nantly
in
the
axial
direction,
The
ratio
of
ampktudes
of
dnver
to
dnven
RPM
depends
on
where
the
data
s
taken
as
well
as
onrelative
mass
and
frame,
stifiness.
Often
with
sheave
misalignment,
the
highest
axial
vibration
on
the
motor
will
be
at
fan
RPM.
C.
ECCENTRIC
SHEAVES
RADIAL
1X
RPM
ECCENTRIC
SHEAVE
Eccentric
and/or
unbalanced
sheaves
cause
high
vibration
at
1X
RPM
of
this
sheave.
The
amplitude
is
normatty
highest
mn
line
with
the
beits,
and
should
show
up
on
both
dniver
and
driven
bearngs.
it
18
sometimes
possible
o
balance
eccentric
sheaves
by
attaching
washers
to
taper
Iock
bolts.
However,
even
if
balanced.
the
eccentricity
will
stitinduce
vibration
and
reversible
fatigue
stresses
in
the
belt
D.
BELT
RESONANCE
RADIAL
1X
RPM
BELT
RESONANCE
|
Belt
Resonance
can
cause
high
ampiitudes
if
the
belt
natural
frequency
should
happen
to
approach
of
concide
with
either
the
motor
or
driven
RPM
Belt
natural
frequency
can
be
altered
by
changing
etther
the
belt
tension
or
length.
Can
be
detected
by
tensioning
and
then
releasing
beit
while
measuring
response
on
sheaves
or
beanngs.
"
BEAT
VIBRATION
Fa-F)
PULSATING
AMPLITUDES
-
WIDEBAND
SPECTRUM
A
»
BEAT
FREQUENCY
ZOOM
SPECTRUM
A
Beat
Frequency
1s
the
result
of
two
closely
spaced
frequencies
going
into
and
out
of
synchronization
with
one
another.
The
wideband
spectrum
normalkty
will
show
one
peak
pulsating
up
and
cown.
When
you
zoominto
this
peak
(lower
spectrum,
it
actualty
shows
two
closely
spaced
peaks
The
ditference
in
these
two
peaks
(F2-F
1}
is
the
beat
frequency
which
itsetf
appears
in
the
wideband
spectrum.
The
beat
frequency
isnotcom-
monty
seenhnormafreqn.;encyrangemeasuementssnceitisfl\efenfly
low
frequency,
usually
ranging
from
only
approximately
5
to
100
CPM
Maximurm
vibration
will
result
when
the
time
waveform
of
one
frequency
(F41)
comes
into
phase
with
other
frequency
{F2).
Minimum
vibration
occurs
when
waveforms
of
these
two
frequencies
line
up
180°
out
of
phase
6-
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You have a choice between four types of candidate near-inert bioceramic for use in the manufacture of a femoral head component
from a number of different suppliers.
Which one should you choose given the information in the table below?
Bioceramic Formulation:
Density (g/cm³)
Grain Size (μm)
Flexural Strength (MPa)
Hardness (HV)
Fracture Toughness Kic (MPa.m-¹/2)
Select one:
O a. Material Delta
O b.
Material Omicron
O c. Material Alpha
Od. Material Beta
Alpha
3.86
<4.5
450
1800
3.5
Beta
3.98
<2.0
580
2000
5
Omicron
6.08
<0.5
1050
1250
9
Delta
4.36
<1.5
1150
1975
8.5
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MECHANICAL PROPERTIES OF AGRICULTURAL AND BIOLOGICAL MATERIALS
Discuss the following mechanical properties of durable and perishable crops:Grains:a. Elasticityb. Hardnessc. Strengthd. Other properties
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need help with this review question
Engineering of materials
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How’s ASTM D2041 related to ASTM D2726 ??
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) What is thermal expansion stress, give equation for thermal deflection with temperature.
ii) Most materials expand on heating, name there a material that contracts on heating.
iii) Give 1 or more useful application of thermal expansion deflection and 1 or more harmful
effect of the same that engineers have to consider in their design.
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. Cite some sources of nonlinearities that arise in
the three components of problem formulation.
• What are some common ways of dealing with
nonlinearities in material behavior or kinematic
conditions?
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Need help with this Mechanics of Materials review
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Project 2:Table 3 shows the fatigue data for a ductile cast iron to be used for an automobile axle that rotatesat an average rotational speed of 750 revolutions per minute:a) Make an S-N plot (stress amplitude versus logarithm cycles to failure).b) What is the fatigue limit for this alloy?c) Determine the fatigue lifetimes at stress amplitudes of 500 MPa and 400 MPa?d) Estimate the maximum lifetime of continuous driving that are allowable for the following 250MPa and 150 MPa stress levels.
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A & D reactions?
6 kips/ft-
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UeM
Page 10 of 14
OUTCOMES- Discussion
Answer ALL the questions:
1.
A Charpy V-notch specimen is tested by the impact-testing machine. In the test, the 15 kg hammer
of arm-length 120 cm (measured from the fulcrum to the point of impact) is raised to 90° and then
released.
i.
What is the potential energy stored in the mass (hammer) when it hit the specimen, in J?
i.
After fracture of the specimen, the hammer swings up to 45°. What is the potential energy at this
point, in J?
iii. How much energy lost during impact (toughness of specimen), in J?
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Table 1: Mechanical behavior of human cadaver tibial bones
during pure torsional loads applied with the proximal tibia
fixed and the torque applied to the distal tibia until there is
bone fracture.
Medial condyle
Tibial tuberosity-
Medial malleolus
-Lateral condyle
Head of fibula
Ti-6Al-4V grade 5
Stainless Steel 316L
Region of bone
resection
-Lateral malleolus
L = 365 mm
Annealed
Annealed
Torque at ultimate failure (bone fracture)
Displacement (twist angle) at ultimate failure
Torsional Stiffness
Table 2: Mechanical properties of candidate materials for the rod.
Material
Process
Yield Strength
(MPa)
880
220-270
Do = 23 mm
Elastic
Modulus (GPa)
115
190
d₁ = 14 mm
Figure 1: Representative tibia bone showing the resection region (blue arrows) and median length (L). A circular cross section of distal tibia
taken at the level of resection) showing the median inner (di) and outer (Do) diameters of the cortical bone. A tibia bone after resection with the
proposed metal solid rod (black line)…
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Units: mmgs
Mass = 538.9662 grams Volume = 199617.1105 cubic millimeters Surface area = 32076.7718 square millimeters
Material: 6061 Alloy
Any direction/guidance on how to make this would be greatly appreciated. Thank you!
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Subject : engineering design - DFMA
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i need the answer quickly
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What functional problem results from torsion?
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Related Questions
- Using the figure from Question 2, imagine the lamp gets heavier and heavier until one of the cables breaks. If all of the cables have the same tensile strength, a) which one will break first, and b) why will that one specifically break first? You do not need to provide Given, Assume, and Problem Type/Features for this question. You just need to provide Find, Analyses and a Conclusion. Provide an explanation for b) that isclear, concise, correct and well organized. Use at least one diagram (2D or 3D) to make your case as to why one of them will break before the others. You can use equations/math to support your explanation as well, if you want, but expressing your answer in words and using logic will be all that is necessary. Youranswer to a) i.e. which one will break first, can be your “Conclusion” to Question 3arrow_forwardmechanical engineering question ( vibration ) just need direct answerarrow_forwardYou have a choice between four types of candidate near-inert bioceramic for use in the manufacture of a femoral head component from a number of different suppliers. Which one should you choose given the information in the table below? Bioceramic Formulation: Density (g/cm³) Grain Size (μm) Flexural Strength (MPa) Hardness (HV) Fracture Toughness Kic (MPa.m-¹/2) Select one: O a. Material Delta O b. Material Omicron O c. Material Alpha Od. Material Beta Alpha 3.86 <4.5 450 1800 3.5 Beta 3.98 <2.0 580 2000 5 Omicron 6.08 <0.5 1050 1250 9 Delta 4.36 <1.5 1150 1975 8.5arrow_forward
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- ) What is thermal expansion stress, give equation for thermal deflection with temperature. ii) Most materials expand on heating, name there a material that contracts on heating. iii) Give 1 or more useful application of thermal expansion deflection and 1 or more harmful effect of the same that engineers have to consider in their design.arrow_forward. Cite some sources of nonlinearities that arise in the three components of problem formulation. • What are some common ways of dealing with nonlinearities in material behavior or kinematic conditions?arrow_forwardNeed help with this Mechanics of Materials reviewarrow_forward
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