iso 7919-1 part 1 general guidelines
TRANSCRIPT
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STANDARD
econd edition
1996 07 1
5
Mechanical vibration of non reciprocating
machines easurem ents on rotating
shafts and evaluation criteria
Part I
General guidelines
Vibrations mecaniques des rnachiaes
orr
alternatives Mesurages sur
les arbres tourpants ei crireres dlevi luation
Partie : Directives ienerales
L
.d-d:..-.-
THAI
INDUSTRI L STANDARDS
INSHTUTE
T l l ibrary
S0099f4
~ a u a u _ a u x o s ~ ~ u
Tna: ::lr.lstr~al andards Insl~lule T SI
Rama v l R c R a j a l h e v e ~Bangkok
l d
Tel 202-55.0
0 a h .
2 j j i
I S0 7919-1 1996 : Mechanical
vibration of non-reciprocatiinu
* p f :
0000326
RO
Reference numbel
SO. 791 9-1 1996 E)
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Draft lnternational Standards adopted by tha technical: committees are
circulated to th e mem ber bodies for voting. Publication as an lnternational
Standard requires approval by at least 75 of the m emb er bodies casting
a vote.
lnternational Standard IS 0 7919-1 was prepared by Technical Com mittee
ISOflC 108, Mechanical vibrstion and shock Subcommittee SC 2,
i Measurzm ent and ev2luation of mechanical vibration and shock as ap plied
o mmechines veh icles and struc tures.
This second edition of IS0 79191 cancels and replaces the first edition
( IS0 791 9 1 19861, which has been technically revised.
IS 0 791 9 consists o f th e following parts, under the general title
Mecharr-
ical vibration of non-reciprocating machines easurements on rotating
shafts and evaluation criteria:
an 1: General guidelines
fJ
?
kf
an : Large land-based steam turbine generator sets
art 3: Coupled idu st ria l machines F l c 2
an
:
Gas turbine sets
an
5:
Machine sets in hydraulic power generating and pumping
plants
Annex A form s an integral part of this part of IS 0 7919 Annexes B, C, D
and E are for informa tion only.
IS0 1996
All riahts reserved. Unless otherwise s~ecif ied . o Dart of this ~ub lic ati onmav be reoroduced
or u6ized in any form or by any means electronic or mechanida~ ncluding photocopying and
:
microfilm w~th out ermission in writing from the publisher.
lnternational Organization for Standardization
Case Postale 56 CH-1211 Geneve 20 Switzerland
Printed ~nSwitzerland
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ISO.
ntroduction
Machines are n ow being operated at increasingly high speeds 2nd loads,
and under increasingly severe operating conditions. This has become
possible, to a large extent, by the more efficient u se of m aterials, although
this has sq metimes resu ted in thera being less m argin for dssigr? and
application errors.
At present, it is not uncommon for continuous operation to be expected
and required for
2
or 3 years between maintenance operations. Conse-
quently, more restrictive requirements are being specified for operating
vibration values of rotating machinery, in order to ensure continued safe
and reliable operation.
IS0 10816 1 stablishes a basis for the evaluation of mechanical vibration
of machines by measgring the vibration respofise on non-rotating, struc-
tural memb ers only. There are many types of machine, however, for which
measu rements on structural m embe rs, such as the bearing housings, may
not adequately chsracterize the running condition of th e machine, although
such measurements ere usefui. Such machines generally contain flexible
rc~t or ha ft systems, and changes in the vibration condition m ay be de-
tectsd mo re decisively and more sensitively by measurements on the ro-
tatkg elements. Machines having relatively stiff and/or heavy casings in
comparison to rotor mass are typical of those classes of machines for
wh ich shaft vibratiofi me asureme nts are frequently to be preferred.
For machines such as steam turbines, gas turbines and turbo-
compressors, all of which may have several modes of vibration in the
service speed range, measurements or, non-rotating parts may not be
totally adeqilate. In such cases, it may be necessary to monitor the ma-
chine using measurements on the rotating and non-rotating parts, or on
the r ota ti ng ~ 3 r t s lone.
The guidelines presented in this part of I S 0 7919 are compleme nted by
.
those given in IS0 10816-1. If the procedures of both standards are ap-
plied, the one w hich is mo re restrictive generally applies.
Shaft vibration measurements are use d for a number of purposes, ranging
-
from routine operational monitoring and acceptance tzsts to advanced
I
experimental testing, as well as diagnostic and analytical investigations.
~nr:i : ;r~lfiydvb These various measurement objectives lead to many differences in
1 =. I e lo methods of interpretation and evaluation. To limit the number of these
i
mt/RI;.
: :7, . (; ; 871m7 f l
differences, this part of I S 0 7919 is designed t o provide guidelines pri-
L.. arily for operational monitoring and acceptance tests.
During the preparation of this part of IS 0 7919, it w as recognized that
there was a need to establish quantitative criteria for the evaluation of
machinery shaft vibration. H owever, the re is a significant lack of data on^
this subject at present and, consequ ently, this part of IS 9 7919 has been
structured to allow such data to be incorporated as it becomes available.
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.
1r r l~~R hlA T lO N A iTANDARD I S 0
Mechanical vibration of non reciprocating
machines easurem ents on rotating
shafts
and
evaluation criteria
Part :
General
y
uidelines
This par: cf I S 0 791 9 sets out general guidelines for
m e a su ri ~ g an3 e;laluating machinsry vibration b v
means 3f measurements made directly on rotating
shaits for the purpose ot determining sheft vibration
with rsgard to
a) changes in \librational behaviou r:
b l excessive kinstic load;
ements are found to be more suitablc, provided that the
*I
guidelines are respected. d
t
For the purposes of I S 0 7919, operational monitoring
It
IS considered to be those vibration rneasurernents
made during the normal operation of a ma chine.
:j
:SO 791 9 p ermits th e use of several d ifferent
measurement
quantities and m ethods, prov~cied hat
they are we ll defined and their limitations are set out,
so that the interpretation of the measurements will
ba well understood.
1
This part of I S 0 7919 does not apply to re cipr ~ca iing
:
machinery.
C) the monitoring of radial clearances.
.4 I
It
is applicable to measurements of bo th absoldte and
relative radial shaft vibration, but excludes torsional
and axial shaft vibration. The procedures are appli-
cable for bo th operational mcn itoring of machines and
to acceptance testing on a test stand 2nd 2fter instal-
lation. Guidelines are also presented for setting oper-
ational limits.
NOT S
1
Evaluation criteria for different classes of machinery will
be incl~dedn other pans cf
I S 0
7919 when they became
available. In the meantime, guidelines are given in
annex
A.
2
The term shaft vibration is used throughout I S 0 7919
because, in most cases, measurements
will
be mace on
mach~ne' hafts; however, I S 0 7919 is also applicable to
measurements made on other ro tat~ng lements
if
such
el-
2 Normative reference
The following standard contains provisions which,
through reference in this text, constitute provisions
of
this part of I S 0 7919. At the t im e of publication, the
edition indicated was valid. All standards are subject
to revision, and parties to agreements based on this
part of I S 0 7919 are encouraged to investigate the
possibility of applying the most recent edition of the
standard indicated below. Members of
IEC
and IS 0
maintain registers of currently valid International
Standards.
IS0 10816-1 :1995,
Mechanical vibration valuation
of machine vibration by measurements on non
rotating
p rts
art
I
General guidelines.
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Measurements
3 1
Measurement quantities
3 1 1 Displacement
The preferred measurement quantity for the
measurement
of shaft vibration is displacement.
The unit of measurement is the micrometer
(1
pr =
m).
NOTE
3
Displacement is
a
vector qua r~tity nd, therefore,
when comparing two displacements,
it
may be necessary
to
consider tbe phase angls betweec them (see zlsc
annex Dl.
Since this part of IS0
7919
applies to both relative
and absolute shaft vibration measurements, displace-
ment is further de fined as follows:
a) relative displacement, w hic h is the vibratory dis-
placement between the shaft and eppropriate
structure, such as a bearing housing or machine
casing; or
b) absolute displacement, which is the vibratory dis-
placement of the shaft with reference to an
inertial reference system.
NOTE 4 It should be clearly indicatzd whether displace-
ment values are relative or absolute.
Absolute and relative displacements are further de-
fined by several different displacement quantities,
each of which is now in widespread use. These in-
clude:
S
vibratory displacement peak-to-peak in the
direction of measurement;
S
maximum vibratory displacement in the
plane of measurement.
Either of these displacement quantities may be used
for the measurement of shaf: vibration. However, the
quantities shall be clearly identified so as to ensuie
correct interpretation of the measurements in terms
of the criteria of clause 5. The relationships between
each of these quantities are shown in figures B.l and
8.2.
NOTE
At present, the greater of the two values
for
peak-to-peak displacement,
as
measured in two orthogonal
directions, is used for evaluation criteria. In future, as rel-
e'vant
experience
is accumulated, the quantity
S~
de-
fined in figure
8.2, may be
preferred.
3 1 2 Frequency range
The measurement of relative and absolute shaft vi-
bration shall be broad band so that the frequency
spectrum of the machine is adequately covered.
3 2 Types of measurement
3 2 1 Relative vibration measurements
Relative vibration m easure men ts are generally carried
out with a noncontacting transducer which senses
the vibrato~y islj laceinent between the shaft and a
structural member (e.g. the bearing housing) of the
machine.
3 2 2 Absolute vibration measuremenrs
Absolute vibration measurements are carried out by
one of the following methods:
a) by a shaft-riding probe, o which a seismic trans-
ducer (velocity typ s or accelerometer) is m ounted
so that
it
measures absolute shaft vibration di-
rectly; or
b) by a non-contacting transducer which measures
relative shaft vibratim in combination with a seis-
mic transducer (velocity type or accelerometer)
which measures the support vibration. Both
tral~sducers hall be mounted close together
SG
that they undergo the same absolute motion in
the direction of measurement. Their conditioned
outputs are vectorially summed to provide a
measuremer~t f the absolute shsft motiorl.
3 3 Measurement procedures
3 3 1 General
It
is desirable to locate transducers at positions such
that the lateral movement of the shaft at points of
importance can be assessed. It is recomm ended that,
f o f both relative and absolute measurements, tw o
transducers sh ould be located at, or adjacent to, each
machine bearins. They should be radially mounted in
the same transverse plane perpendicular to the shaft
axis or as close as practicable, with their axes within
5 of a radial line. It is preferable to mount both
transducers 90
?
5 apart on the same bearing half
and the positions chosen should be the same at each
bearing.
A single transducer may be used at each measure-
ment plane in place of the more typical pair of
orthogonal transducers if
~t
s known to provide ade-
quate information about the shaft vibration.
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l t is recommended that special measurements bs
made in order to determine the total non-vibration
runout, which is caused by shaft surface metallurgical
non-homogeneities. local residual magnetism and
.shaft mechanical runout.
t
should be noted that, for
asymmetiic rotors, the effect of gravity can cause a
false runo ut signal.
~a com me nd atio ns or instrumentation are given in
annex C.
3.3.2 Procedures for relative vibration
meas~rernents
Relative vibration transducers of the noncontacting
type are normally m oun ted in tapped holes in the
bearing housing, or by rigid brackets adjecent to the
bearing housing. Where the transducers are moun ted
in the bearing, they should be located so as not to
interfere with the lubricaticn pressure wedge. How-
ever, special arrangements for mounting transducers
in other axial @ca tionsmay be m ade, but different vi-
bration criteria for assessment will then have to be
used. For bracket-mounted transducers, the bracket
shpll be free from natural frequencies w hich adversely
affect the capability of th e transducer t o measure ihe
relative shaft vibration.
The surface of the shaft at the location of the pick-up,
taking irlto account the total axial float of the shaft
under all thermal cm dition s, shall be sm ooth and free
from any ~ eo m e tr ic iscontinuities (such as keyways,
lubrication passages and threads), metallurgical non-
homogeneities and local residual magnetism which
may cause false signals. In some circumstances, an
electroplated or metallized shaft surface may be ac-
ceptable, but it should be noted that the calibration
may be different. I t is recommended that the total
combined electrical and mechanical runout, as
measured by the transducer, should not exceed
25
%
of the allowa ble vibration displacement, speci-
fied in accordance wit h annex
A,
or
6
pm, w hichever
is the greater. For measureme nts made on m achines
already in service, where provision was not originaliy
made for shaft vibration measurements, it may be
necessary to use other runout criteria.
shall be rigidly mo unted t o the machine structure (e.g.
the bearing nousing) close to the non-contacting
transducer SG that both transducers undergo the
same absolute vibration of the suppo rt structure in the
direction of measurement. The sensitive axes of the
non-contacting and seismic transducers shall be Far-
allel, so that their vectorially summed, conditioned
signals result in an accurate measure of the absolute
shaft vibration.
3.3.4 Procedures for absolute vibration
measurements using a shaft riding mechanism
with a seismic transducer
The seismic transducer (velocity type or acceler-
ometer) shall be mour~tedadially on the shaft-riding
rnschanisrr~.The me chan ism shall not cha:ter o: b ind
in a manner modifying the indicated shaft vibration.
The mechanism shall be mouvted as described for
transducers in 3.3.1.
The shaft surface against which the shaft-riding tip
rides, takiri,g into account the total axial float of the
shaft under all thermal condi?ions, shall be smooth
and free fro m shaft discon:inuities, such as keyways
and threads. It is recommended that th e mechanical
runout of the shaft should not exceed 25 of th e al-
lowable vibration displacement, specified in accord-
ance w ith annex A, or 6 pm, whichever is the greater.
There may be surface speed avdlar other limitations
to shaft-riding procedures, such as the formation of
hydrodynamic oil f~ lm s eneath the probe, which may
give false readings and, consec;uently, manufacturers
should be consulted about possible limitations.
3 4
achine ope rat ing condi t ions
Shaft vibrarion rrleasurements sho uld be made u nder
agreed coliditions over the operating range of the
machine. These measurements should be made after
achieving agreed thermal and operating conditions. In
addition, measurements may also be taken under
co nd it i hs of, for example, s low roll, warming-up
speed, critical speed, etc. However, the results of
these measurements may not be suitable for evalu-
ation in accordance w ith clause
5.
3.3.3 Procedures for absolute vibration
measurements using combined seismic and
non contacting relative vibration transducers 3 5 achine foundat ion and st ructures
If a combina tion of se ismic and non-contacting relative
The type of machine foundation and structures (for
vibration transducers is used, the absolute vibration is
example piping) may significantly affect the measure d
obtained by vectorially summing the outputs from
vibration. In general, a valid comparison of vibration
both qansducers. The mounting and other require-
values of machines of the same type can only be
me nts for the non-contac ting transducer are as made if the foundations and structu res have similar
specified in 3 3 2 In addition, the seismic transducer dynamic characteristics.
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6
Environmental vibration and evaluation
3
of measurement system
prior to measuring the vibraticn of an opersting ma-
-ine
a check wit h the same measuring system and
stations should be taken wit h the macl-' ne in an in-
operative state. When the results of such measure-
ments exceed one-third of the values specified for th e
operating speed, steps should be taken to eliminate
en, jronrnentdi vibraticn effects .
4
Instrumentation
The instrumentatior? used fo r the purpose of com pli-
cnce wi th this part of IS 0 7919 shall be so designed
~ take into account temDerature, humidity, the
presence of any corrosive atmospl~ere, haft surface
,peed, shaft material and surfsce finish, sperating
medium (e.g. water, oil, air or steam) in contact with
the transducer, vibration and shock (three major axes),
airborne noise, magnetic fields, inetallic masses in
pioximity tc the tip of the transducer, and power-line
voltage fluctuations a nd trar ~sients .
~t s desirable that the measurement system should
have provision for on-line calibration cf the readout
instrumentation and, in addition, have suitable isolsted
outputs tc perm it further a~ ialysis s required.
5 Evaluation criteria
5.4 There are two principal factors by which shaft
vibration is judged:
a) absolgte vibration of the shaft;
b vibration of the shaft relative to the structural el-
enlents.
5.2 If the evaluation criterion is the change in shaft
vibration, then
a
\vhen the vibration of the structure, on which the
shaft-relative transducer is mounted, is small (i.e.
ks s than 20 % of the relative shaft vibration), ei-
:her the re lative shaft vibration or absolute shaft
\,bration may be used as a measure of shaft vi-
:ration;
b) \vhen the vibration of the structure, on which the
shaft-relative transducer is mounted, is 20
%
or
niore of the relative s iaft vibrat~o n, he absolute
shaft vibration shall be measured and, if found to
la
larger than the relative shaft vibration, it shall
?c used as the measu:.e of shaft vibration.
5 3
If the evaluation criterion is the kinetic load on
the bearing, the relative shaft-v ibration shall be used
as the measure of shaft vibration.
5.4 If the evaluation criterion is statorlrotor clear-
ances, then
a) when the vibrat~on f the structure, on which the
shaft-reiative transducer is mounted, is small (i.e.
less than
20 %
of t he relative shaft vibratiov), the
relative shaft vibration shall be used as a measure
of clearance absorption;
b) wh en ?he vibration of the structure, on which the
shaft-reiative transducer is mounted, is 2C % or
more of the relative shaft vibration, the relative
shaft vibratior: measurem ent may still be used as
a measure of clearance absorption unless the vi-
bration of the structure, on which the shaft-
relative transducer is mounted, is not
representative of th e total stator vibration. In this
latter casa, special me asu ienie ~its wil l be re-
quired.
5.5
The shaft vibration associated with a particular
classification range depends on the size and mass of
the vibrating body, the characteristics of the mo unting
system, and the outpu t and use of the machine. It is
therefore necassav to take into account the various
purposes and circumstances concerned when speci-
fying different ranges of shaft vibration for
a
specific
class of machinery. Where appropriate, reference
should be made to the product specification.
5 6
General principles for evsluation of shaft vi-
bration on difterect machines are given in annex
A.
The eva uation criteria relete to both operational mon -
itoring and acceptance testing, and apply only to the
vibration produced by the m achine i t ~ e lf nd not to
vibration transmitted from outside. For certain classes
of machinery, the guidelines presented in this part of
IS 0 7919 are com plemented by those given in
IS 0 10816-1 for measurements taken on non-rotating
parts. If the procedures of both International Stan-
dards are applied, the one which is more restrictive
shall generally apply.
Specific criteria for different classes and types of ma-
chinery will be given in the relevant parts of I S0 7919
as they are developed.
5.7 The evaluation considered in this basic docu-
ment is limited to broad-band vibration without refer-
ence to frequency components or phase. This will in
most cases be adequate for acceptance testing and
operational monitoring purposes. However, in some
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cases the use of vector information for
sessment on certain machine types may
Vector change information is particuldrly useful in de-
ticular machine is satisfactory when measured under
tecting and defining changes in the dynamic state of
certain steady-state conditions it can become unsat-
a machine which in some cases could go undetected
isfactory if these conditions change.
wh en using broad-band vibratian m easuremen ts. This
is demonstrated
n
annex D.
I t is recommended that in cases where some aspect
of th e vibration sensitivity of a m achine is in question
The specification of criteria for vector changes is be-
agreement should be reached between the customer
yond the present scope of this part
of
I S 0
7919.
and supplier about the necessity and extent of any
testlng or theoretical assessment.
5 8 The vibration measu red on a particular machine
may be sensitive to changes in the steady-state op-
erational condition. In most cases this is not signif-
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Annex A
normative)
General principles for adopting evaluation criteria for different types of
machine
e l the rotational frequency of the shaft;
other types. For example, evaluation criteria for a
annex B). No attem pt has been made t o specify
79 9 as they are developed.
Factors affecting
evacuation
criteria
f )
the bearing type, clearance and diameter;
g) the functioa, output and size cf the m ixk ine un-
der consideration;
h) the relative flexibility of the
bearings,
pedestals
and foundations;
a
i
the rotor mass and flexibility.
Clearly, this range of factors makes it impossible to
define unique evaluation criteria which can be applied
to ail machines. Different criteria, which have been
derived from operaticnal experience, are necessay
for different machines, but at best they can only be
regarded as guidelines and there- will be occasions
where machines will operate safely and satisfactorily
outside any general recomme~dations.
A.2 valuation criteria
Two evaluation criteria are used to assess shaft vi-
bration. One criterion c;onsiders the r~iagnitude f the
observed brcad-band shaft vibration; ihe second coa-
siders changes in magnitude, irrespective of whether
they are increases or decreases.
A.2.1
Criterion : Vibration magnitude at
r ted speed
ion criteria for shaft -vibration measu rements.
conditions
This criterion is concerned with defining limits for
the purpose for which the measurement is made
for example, the requirements for ensuring that
shaft vibration magnitude consistent with acceptable
running clearances are maintained will, in general,
dynamic loads on the bearing, adequate margins on
the radial clearance envalope of th e machine, and ac-
be different from those if the avoidance of ex-
ceptable
vibration transmission into
the
suppon
cessive kinetic load on the bearing is the main
structure and foundation. The maximum shaft vi-
concern);
bration magnitude observed at each bearing is as-
sessed against four evaluation zones established fro m
the type of measu rement made bsolute or
relative vibration; international experience.
F
the quantities measured see annex B);
FigureA.l shows a plot of allowable vibration, ~n
terms of peak-to-peak shaft vibration, against the op-
the position where the measurement is made;
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crating speed range. It is generally accepted that lim-
iting vibration values will decrease as the operating
speed of th e machine increases, but th e actual values
and their rats of change with speed will vary for dif-
ferent types of machine.
A 2 1 1 Evaluation zones
The following typical evaluation zones are defined to
permit a qua litative assessm ent of the shaft vibration
on a given machine and provide guidelines or. possibls
actions.
Zone A: The vibretion of newly commissioned ma-
chines would ncrmally fall within th is zone.
Zone : Mach ines ith vibration with in this zone are
norma lly considered acceptable for unrestricted long-
term operation.
Zone C: Mach ines wi th vibration with in this zone are
normally considered unsatisfactory for long-term ccjn-
tinuous operation. Generally, the machine may be
operated for a limited period in this condition until a
suitable opportunity arises for remedial action.
Zone D Vibration values within this zone are norma lly
considered to be of sufficient severity to cause dam-
age to the machine.
A 2 1 2
Evaluation
zone
l imits
-Numerical vaiues sssigned to th e zone boundaries are
not intended to serve as acceptance specifications,
which shall be subject to agreement between the
machine manufacturer and the customer. However,
these values provide guidelines for ensuring that
gross deficiencies or unrealistic requirements are
avoided. In
certain cases,
there may be specific fea-
tures associated with a particular machine which
would require different zone boundary values (higher
or lower) to be used. In such cases, it is normally
necessary to e xplain the reasons for this and, in par-
ticular, to confirm that the machine will not be en-
dangered by operating with higher vibration values.
A 2 2 riterion il han ge in vibration
magnitude
This criterion provides an assessm ent of a change in
vibration magnitude from a previously established
reference value. A significant increase or decreass in
broad-band vibration magnitcde may occur which re-
quires so me a ction aven though zone C of Criterion I
- has not been reached. Such changes can be instan-
taneous or progressive with time and may indicate
-: that damage has occurred or be a warning of an im-
Pending failure or some other irregularity. Criterion I I
is specified on the basis of the change in broad-band
vibration magnitude occurring under steady-state op-
erating conditions.
Whsn Cri teicn
I1 is
applied, the vibration measure-
merits being compared shall be taken at the same
transducer location and orientation, and under ap-
proximately the same machine operating conditions.
Significant changes from the normal vibration magni-
tudes should be investigated so that a dangerous
sitllation may be avoided.
Criteria for assessing changes in broad-band vibration
for monitoring purposes are given ir other parts of
IS 0 7919. However, it should be noted that some
changes may not be detected unless the discrete
frequency components are monitored (see 5.7).
A 2 3 Operational lim its
For long-term operation, it is common proctice for
some machine types to establish operational vibration
limits. These limits take the for m of ALAR MS _and
TRIPS.
ALARMS: To provide a warning that a defined value
of vibration has been reached or a significant change
has occurred, at which remedial action may be
necessary. In general, if an ALARM situation occurs,
operation can continue for a period whilst investi-
gations are carried out to identify the reason for the
change in vibration and define any reme dial action.
TRIPS To specify the m agnitude of vibiatior~beyond
which further operation of the machine may cause
damage. If the TRlP value is exceeded, immediate
action should be taken to reduce the vibretion or the
machine
should be shut down.
Different operational limits, reflecting differences in
dynzmic loading and support stiffness, may be speci-
fied for different messuremen: positior~ s and di-
rections.
Where appropriate, guidelines for specifying ALARM
and TRIP criteria for specific machine types are given
in other parts of IS 0 7919.
A 2 3 1
etting
of ALP RMS
The ALARM values may vary considerably, up or
down, for different machines. The values clrosen w ~ l l
normally be set relative to a baseline value de ter-
mined from experience for the measurement position
or direction for that particular machine.
t
is recomme nded that the ALAR M value should be
set higher than the baseline by an a mou nt equal to
a
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of the upper lim it of zone 0 If the baseline
.low, the ALARM may be below zone C.
w machine, the initial ALARM setting should
agreed acceptance values. After
period of time, the steady-state baseline value will
established and the ALA RM setting should be ad-
f the steady-state baseline changes (for e xample after
machine overhaul), th s ALARM setting should be
, reflecting differences i a dynamic loading
st i f f i~esses.
A 2 3 2
Setting o TRIPS
The TRIP values w ill gene rallyrelate t o the mechanica
integrity of the mschine and be dependent on any
specific design features which have been introduced
to enable the machine to withstand sbnormal dynemic
forces. The values used will, therefore, generally be
the same for all machines of similar design and wo uld
not normally be related to the steady-state baseline
value used for setting ALARMS.
There may, h3wever, be differences for machines of
different design and it is not possible to give guide-
lines for absolute TRlP values. In ganersl, the TRlP
value w i il be ~ i t h in one C or D.
Zone
I
I
Relevant speed r a n g e
I
I
J
I
I
R o t a t i o n a l f r e q u e n c y o f s h a f t
NOTE
he actual values for vibration at the zone boundaries and the relevant speed range
will
vary for different types of
machine. It i's important to select the relevant criteria and to avoid incorrect extrapolation.
igure
A l
eneralized example of evaluation criteria
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Annex B
(informative)
Derivation of measurement quantities
0.1
Mechanics
of
shaft
vibration
Ths vibration of d rotating shaft is characterized at zny
axial location by
a
kinetic orbit, which describes how
the position of the shaft centre varies with time. Fig-
ure B.l shows a typical orbit. The shape of the orbit
@ depsnds upon the dynamic characteristics of the
shaft, the bearings and the bearing supports or foun-
dations, the ax~alocation on the rotor and the form
of vibration exatation. For example, if the excitation
takes the form of a single-frequency sinusoidal force,
.
the orbit is an ellipse, which can in certain circum-
siapces b e a circle Dr straight line, and the time taken
for the shaft centre to complete one circuit of the el-
lipse is equal to th e pe riod of the excitation force. One
of the most important excitation forces is rotor un-
balance, in which rhe excitation frequency is
equal
to
t h e r o t a t ~ ~ n a lrequeccy of the shaft. However, there
are other forrns of excitat~ on, such as rstor cross-
section asymmetry, for which the frequency is equal
to multiples of t+e rotational frequency of the shaft.
Whe re the vibration arises as a resu lt of, for exa mple,
destabilizing self-excited iorces, the orbit will not
normally be of
a
simple shape, but will change
form
over a period of time and it will not necessarily be
harmonically related. In general, the vibration of the
shaft may arise from a number of different sources
and, therefore, a complex orbit will be produced,
which
IS
tha vectorial sum o i the effects of the indi-
vidual excitation forces.
6.2 Measurement of shaft
vibration
At any axial locarion, the orbit of the shaft can be ob-
tained by takina measurements with two vibration
transducers moir,?ed n different radial planes, separ-
ated by 90 ( t h ~ ss the preferred separation, but small
deviations froni ;his do n ot cause significant errors).
If the angle between the transducer locations is sub-
stantially differelt from 9 ; a vector resolution into
the orthogonal directions will be required. f the
transducers measu re absolute vibration, then the orbit
will be the abso .re orbit of the shaft indepe ndent of
the vibratory motion of the non-rotating parts. If the
transducers measure relative vibration, then the
measu rsd orbit will be relative to that part of the
structlJre upon which the transducers are m ounted.
8 3
Measurem ent quantities
6.3.1
Time integrated me n position
The mean values of the shaft displacement
x,y),
n
any two specified orthogonal directions, relative to a
reference position, as sh ow n in figure
B. l ,
are defined
by integra ~with respect to time, as
show^
in the
following equations:
where
x t )
and y [ t are the time-dspender~t lternating
values of displacement relative
t
ths reference
pos
ition, and
t , , )
is large relative to the psriod of the
lowest frequency vibration cornponelit. In the case of
absolute vibration m easurements, the refe ience pos-
ition is fixed in space. For ~e lative ibration m easure-
ments, these values give an indication of tha mean
position of the shaft relative to the non-rotating parts
at the axial lvcation where the measurements are
made. Changes in the values may be due to a num ber
of factors, such as bearinglfoundation movements,
changes in oil film cha racteristics, etc., which norm ally
occur slowly relative to the period of the vibration
components which make up the alternating values.
It should be note d that,
in
general, the time-inregrated
mean position
in
any direction differs from the pos-
ition defined by taking half the summation of the
maximum and minimum displacement values (see
figure
E.2) .
However, when the shaft vibration is a
single frequency and sinusoidal, t ie n the locus of th e
shaft centre will be an ellipse. In such circurnsrances,
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the time-integrated mean position in any direction of
measurement will be the same as the pcsition identi-
fied by taking half the summation of the maximum
and m inim um d isplacement values.
0.5.2
Peak to peak displacenrent
of
the
vibration
The primary quantities of interest in shaft measure-
ments are the alternating valces which describe the
shape of the orbit. Consider the kinetic shaft orbit
shown in figure B . 2 and assume that there are two
transducers A and B mounted 90" apart, which are
used to measure the shaft vibration. At some instant,
the shaft centre wil l be coincident with the point K or
the orbit and the corresponding instantaneous value
of shsft displacement fro m the mean position wil l b e
S , .
Hcwever, in the plene of the transducers A and
8, the instantaneous values of shaft displacement
from the mean position wil l be sAl and S,, , respec-
tively, where
The
values of S,, SAl and S,, will vary with time as the
shaft centrs moves around the orbit; the carrsspond-
ing waveforms measured by each transducsr are
&own. in figure B . 2 .
NOTE
If the orbit is elliptical, then these waveforms
Gouid be pure sine waves of the same frequency.
The peak-to-peak value of the displacement in the
plane of transducer A (SA(,)) is defined as the differ-
ence between the maximum and minimum displacs-
rnents of transducer A and similarly for
S
for
trbnsducer B . Clearly SA(,) and SB(,) values will not
be equal and, in general, they will be different from
similar mea surem ents m ade in other radiai directions.
Hence, the value of the peak-to-peak displacement is
dependent on the direction of the measurement.
Since the se measurement. quantities are independent
of the absolute value of the mean position,
it
is not
necessary to use systems which can measure both
rhe m ean and alternating values.
Peak-to-peak displacement is the u nit which has been
used most frequently for monitoring vibration of ro-
tating machines.
Whereas measurement of the peak-to-peak displace-
ment in any two given orthogonal directions is a sim-
.pie matter, the value and angular position of the
maximum peak-to-peak displacement show n in
figure
8.2
is difficult to measure directly. However, in
practice, it has been fou nd acceptable to use alterna-
iive measurement quantities which enable a suitable
approximation for the maximum peak-to-peak dis-
placement value to be obtained. For more precise
determinations, it is necessary to examine the sl-,aft
orbit in more detail, as for example with an
oscii loscope. The three most common methods for
obtaining satisfoctcry app roxim atio~ s re described in
B.3 .2 .1 t o B . 3 . 2 . 3 .
B.3.2.1
Method A Resultant value of the
peai< to peak displaceme~t alues measured in
two orthogonal directions
The value of S(w ,a, can be approximated from the
following
equat~on:
S pp)max
.
(B.4)
The use of equation ( B . 4 ) as an approximation when
the vibration is predominantly at rotational frequency
will generally overe stim ate the value of S@,),,, wi th
a m aximum error of approximately 40 %.
The maximum error occurs for a circular orbit and
progressivefy reduces as the orbit becomes flatter,
w i th
a
zero error for the degenerate case of a straight
line orbit.
6.3.2.2
Method
B:
Taking the maximum value of
the peak to peak displacement values measured
in two orthogonal directions
The value of
S .,),,,
can be approximated from the
following equat~on:
whichever is the greater.
The use of equation ( B . 5 ) as an approximation when
the vibration is predominantly at rotational frequency
will generally under-estimate the value of
S ,,),,,,
with a maximum error of app~oximately 0
%.
The maximum error occurs for a flat orbit and pro-
gressively reduces as the orbit becom es circular, wit h
a zero error whe n t he orbit is circular.
B.3.2.3
Method
C
Measurement of S,,,
The instantaneous value of the shaft displacement
can be defined by S , , as shown in figure
B.2,
which is
derived from the transducer measurements SAl and
S,, using equation
(8.3).
There is a point on th e orbit,
defined by point
P
in figure
B.2,
where the displace-
ment from the mean position is a maximum. The
value of S corresponding to this position is denoted
by S,,,, which is defined as the maximum value of
displacement
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Transducer
~ r a n s d u c e rwaveform
SA
2-p
wavef arm
Transducer
Fixed reference axes
Time integrated m ean pcsition of orbit
Timeinte grated mean values of shaft displacement
lnstantaneous position of shaft ceptre
Position of shaft for m aximum displacement from time-integrated mean po sitio~
I~istantaneo us alue of shaft displacement
Ma xim um value of shaft displacement fr om time-integrated m ean position
0
lnstantaneous values of shaft displacement in directions of transducers
A
and
B
Ma xim um value of peak-to-peak displacement
Peak-to-peak values of shaft displacement in directions
of
transducers
A
and
B
respectively
respectively
Figure B 2 inetic orbit of shaft efinition of displacement
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