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Reference Number Title/Description
2002 AGMA ANSI/AGMA 6000-B96 Specification for Measurement of Linear Vibration on
Gear Units
2003 API ANSI/API std 541-2003 Form-Wound Squirrel-Cage Induction Motors 500 hp
and Larger
1997 API API STD 546, second edition Brushless Synchronous Machines, 500 kVA and Larger
2004 API API STD 610/ISO 13709,
ninth edition
Centrifugal Pumps for Petroleum, Petrochemical and
Natural Gas Industries
1997 API API STD 611, fourth edition General Purpose Steam Turbines for Petroleum,
Chemical and Gas Industry Services
2005 API API STD 612/ISO 10437,
sixth edition
Petroleum, Petrochemical and Natural Gas Industries –
Steam Turbines – Special-Purpose Applications
2003 API API STD 613, fifth edition Special Purpose Gear Units for Petroleum,
Chemical and Gas Industry Services
1998 API API STD 616, fourth edition Gas Turbines for the Petroleum, Chemical, and Gas
Industry Services
2002 API API STD 617, seventh edition Axial and Centrifugal Compressors and
Expander-compressors for Petroleum, Chemical and
Gas Industry Services
2000 API API STD 670, fourth edition Mechanical Protection Systems
2004 API API STD 672, fourth edition Packaged Integrally Geared, Centrifugal Air Compressors
for Petroleum, Chemical, and Gas Industry Services
2001 API API STD 673, second edition Special Purpose Fans
1997 API API STD 677, second edition General Purpose Gear Units for Petroleum, Chemical,
and Gas Industry Services
1996 API API STD 681, first edition Liquid Ring Vacuum Pumps for Petroleum, Chemical,
and Gas Industry Services
2000 API API STD 685, first edition Sealless Centrifugal Pumps for Petroleum, Heavy-Duty
Chemical, and Gas Industry Services
1965 BDS BDS 5626-65 Measurement of Vibration on Electrical Rotating Machines
1964 Blake, M.P. Hydrocarbon Processing,
January 1964
New Vibration Standards for Maintenance
1963 CAGI In-Service Standards for Centrifugal Compressors
1975 CAGI Standard for Centrifugal Air Compressors
1971 CSN CSN 011410 Permitted Limits for Unbalanced Solid Machine Elements
1968 Dresser
Industrial
General Guidelines for Vibration on Clark Centrifugal
Compressors
1966 Gosstandart GOST 12379-66 Measurement of Vibration on Electrical Rotating
Machines
2002 HI ANSI/HI 9.6.4 Centrifugal and Vertical Pumps — Vibration
Measurement and Allowable Values
1996 IEC IEC 60034-14 Rotating Electrical Machines, Part 14: Mechanical
Vibrations of Certain Machines with Shaft Heights
56 mm and Higher — Measurement, Evaluation and
Limits of Vibration
1964 IRD IRD #305D General Machinery Vibration Severity Chart
1995 – 2001 ISO Mechanical Vibration — Evaluation of Machine
Vibration by Measurements on Nonrotating Parts:
ISO 10816-1:1995 Part 1: General Guidelines
ISO 10816-2:2001 Part 2: Land-Based Steam Turbines and Generators in
Excess of 50 MW with Normal Operating Speeds
of 1500, 1800, 3000 and 3600 rpm
ISO 10816-3:1998 Part 3: Industrial Machines with Nominal Power above
15 kW and Nominal Speeds between 120 and
15,000 rpm when Measured In Situ
ISO 10816-4:1998 Part 4: Gas Turbine Driven Sets Excluding Aircraft
Derivations
34-42 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
TABLE 34.5 (continued)
Year Author/
Organization
Reference Number Title/Description
ISO 10816-5: 2000 Part 5: Machine Sets in Hydraulic Power Generating
and Pumping Plants
2002 ISO Mechanical Vibration — Vibration of Active Magnetic
Bearing Equipped Rotating Machinery
ISO 14839-1: 2002 Part 1: Vocabulary
ISO/CD 14839-2:2004 Part 2: Evaluation of Vibration
1996 – 2001 ISO Mechanical Vibrations of Nonreciprocating Machines —
Measurement on Rotating Shafts and Evaluation Criteria
ISO 7919-1: 1996 Part 1 (1996): General Guidelines
ISO 7919-2: 2001 Part 2 (2001): Land-Based Steam Turbines and
Generators in Excess of 50 MW with Normal
Operating Speeds of 1500, 1800, 3000 and 3600 rpm
ISO 7919-3: 1996 Part 3 (1996): Coupled Industrial Machines
ISO 7919-4: 1996 Part 4 (1996): Gas Turbine Sets
ISO 7919-5: 1997 Part 5 (1997): Machine Sets in Hydraulic Power
Generating and Pumping Plants
1993 ISO ISO 8579-2 Acceptance Code for Gears, Part 2: Determination of
Mechanical Vibration of Gear Units During Acceptance
Testing
2004 ISO Rolling Bearings — Measuring Methods for Vibration
ISO 15242-1:2004 Part 1: Fundamentals
ISO 15242-2:2004 Part 2: Radial Ball Bearings with Cylindrical Bore and
Outside surface
ISO/CD 15242-3 Part 3: Spherical and Taper Radial Roller Bearings with
Cylindrical Bore and Outside Diameter
1959 Kruglov, N.V. Teplonerg, 8 (85), 1959 Turbomachine Vibration Standards
1967 Maten, S Hydrocarbon Processing,
January 1967
New Vibration Velocity Standards
1983 McHugh, J.D. J. Lub. Tech., Trans. ASME,
1983, 105
Estimating the Severity of Shaft Vibration within
Fluid Film Journal Bearings
1974 MIL MIL-STD-167-1 Mechanical Vibration of Shipboard Equipment, Type I:
Environmental, Type II: Internally Excited
2003 NEMA NEMA MG 1-2003 Motors and Generators, Part 7 — Mechanical Vibration —
Measurement, Evaluation and Limits
1991 NEMA NEMA SM 23-1991 Steam Turbines for Mechanical Drive Service
1991 NEMA NEMA SM 24-1991 Land Based Steam Turbine Generator Sets 0 to 33,000 kW
1965 PKN PN-65/E-04255 Measurement of Vibration of Electrical Rotating
Machines
1939 Rathbone, T.C. Power Plant Engineering,
November 1939
Vibration Tolerances
1964 VDI VDI 2056 Evaluation Criteria for Mechanical Vibrations in
Machines
1982 VDI VDI 2059 P1 Shaft Vibrations of Turbosets Principles for Measurement
and Evaluation
1990 VDI VDI 2059 P2 Shaft Vibrations of Steam Turbosets for Power Station
Measurement and Evaluation
1985 VDI VDI 2059 P3 Shaft Vibrations of Industrial Turbosets Measurement
and Evaluation
1981 VDI VDI 2059 P4 Shaft Vibrations of Gas Turbosets Measurement and
Evaluation
1982 VDI VDI 2059 P5 Shaft Vibrations of Hydraulic Machinesets Measurement
and Evaluation
1949 Yates, H.G. Trans. N.E. Coast Inst. Engrs
Ship Builders, Vol. 65, 1949
Vibration Diagnosis of Marine Geared Turbines
Vibration in Rotating Machinery 34-43
© 2005 by Taylor & Francis Group, LLC
FIGURE 34.14 (a) Measuring points; (b) measuring points for vertical machine sets. (Source: ISO 10816-3,
1998-05-15. With permission.)
34-44 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
FIGURE 34.14 (continued )
Vibration in Rotating Machinery 34-45
© 2005 by Taylor & Francis Group, LLC
resulting in wasted energy and premature failure of components due to high vibration. The current
practice to obtain flow changes in the pump is by means of speed change. This eliminates flow throttling
and allows the pump to operate close to its best efficiency point, where energy is not wasted and
vibrations are a minimum. However, as illustrated below, variable speed operation of a pump-motor set
over a wide speed range could pose several challenging problems.
TABLE 34.6A Acceptable Vibration Levels for Rotating Machinery Measured on Nonrotating Parts
Machinery Type Power Level Speed Range (rpm) Applicable Vibration Level
Rigid Support Flexible Support
Steam turbines 15 # P # 300 kW 120 # N # 15,000 V1 and D3 V3 and D7
300 kW # P # 50 MW 120 # N # 15,000 V3 and D5 V6 and D8
P . 50 MW N , 1,500 or N .3,600 V3 and D5 V6 and D8
P . 50 MW N ¼1,500 or 1,800 V5 V5
P . 50 MW N ¼ 3,000 or 3,600 V7 V7
Gas turbines 15 # P # 300 kW 120 # N # 15,000 V1 and D3 V3 and D7
300 kW # P # 3 MW 120 # N # 15,000 V3 and D5 V6 and D8
P . 3 MW 3,000 # N # 20,000 V8 V8
Hydraulic turbines and
pump turbine
Horizontal machines
P . 1 MW 60 # N # 300 N/A V4
P . 1 MW 300 , N # 1,800 V2 and D6 N/A
Vertical machines P . 1 MW 60 , N # 1,800 V2 and D6 N/A
P . 1 MW 60 , N # 1,000 V2 and D6 V4 and D9
Centrifugal pumps
Separate driver P . 15 kW 120 # N # 15,000 V3 and D2 V6 and D4
Integral driver P . 15 kW 120 # N # 15,000 V1 and D1 V3 and D2
Electric motors
Shaft height H $ 315 mm P . 15 kW 120 # N # 15,000 V3 and D5 V6 and D8
Shaft height 160 # H , 315 mm P . 15 kW 120 # N # 15,000 V1 and D3 V3 and D7
Generators, excluding those used
in hydraulic power generation
15 # P # 300 kW 120 # N # 15,000 V1 and D3 V3 and D7
300 kW # P # 50 MW 120 # N # 15,000 V3 and D5 V6 and D8
P . 50 MW N , 1,500 or N . 3,600 V3 and D5 V6 and D8
P . 50 MW N ¼ 1,500 or 1,800 V5 V5
P . 50 MW N ¼ 3,000 or 3,600 V7 V7
Generators and motors used in
hydraulic power generation
Horizontal machines
P . 1 MW 60 # N # 300 N/A V4
P . 1 MW 300 , N # 1,800 V2 and D6 N/A
Vertical machines P . 1 MW 60 , N # 1,800 V2 and D6 N/A
P . 1 MW 60 , N # 1,000 V2 and D6 V4 and D9
Compressors, rotary, blowers, 15 # P # 300 kW 120 # N # 15,000 V1 and D3 V3 and D7
and fans 300 kW # P # 50 MW 120 # N # 15,000 V3 and D5 V6 and D8
TABLE 34.6B Maximum Vibration Velocity Limits for Different Levels (mm/sec, RMS)
Vibration Level ZoneA ZoneB ZoneC Alarm Trip
V1 1.4 2.8 4.5 3.5 5.6
V2 1.6 2.5 4.0 3.1 5.0
V3 2.3 4.5 7.1 5.6 8.9
V4 2.5 4.0 6.4 5.0 8.0
V5 2.8 5.3 8.5 6.6 10.6
V6 3.5 7.1 11.0 8.9 13.8
V7 3.8 7.5 11.8 9.4 14.8
V8 4.5 9.3 14.7 11.6 18.4
34-46 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
Description. The following case study is taken from a petroleum pipeline pump application where
pump-motor sets with VFDs were installed in a new pipeline starting in Alberta, Canada and terminating
in Minnesota, USA. VFDs are frequently used in the pipeline industry to power high horsepower pumps
to eliminate power wasted by throttling, reduce inrush current at motor startup, and to provide greater
operating flexibility. However, variable speed operation can cause vibration problems in the pump,
motor, and the couplings that are not normally experienced with fixed speed pumps. Unexpected high
torsional and lateral vibrations were experienced with these pumps and motors at certain
operating speeds. A rotor torsional resonance, motor housing resonance, acoustic resonance in the
internals of the pump, and discharge piping were identified to be the causes of the high vibration in the
pump-motor set. Details on diagnosing the problems and the corrective measures taken to resolve them
are given below:
Pump type: The pump was a centrifugal, two-stage, double volute horizontal pump, with six vane
impellers, normally designed to operate at a fixed speed. Generation of pressure pulsations at the vane
passing frequencies of 6 £ and 12 £ rotational speed is normally expected.
TABLE 34.6C Maximum Vibration Displacement Limits for Different Levels (mm, RMS)
Vibration Level ZoneA ZoneB ZoneC Alarm Trip
D1 11 22 36 28 45
D2 18 36 56 45 70
D3 22 45 71 56 89
D4 28 56 90 70 113
D5 29 57 90 71 113
D6 30 50 80 63 100
D7 37 71 113 89 141
D8 45 90 140 113 175
D9 65 100 160 125 200
Zone A: Newly commissioned machines should fall within this zone. Zone B: Machines with vibrations within this
zone are considered acceptable for long-term operation. Zone C: Machines with vibrations within this zone are normally
considered unsatisfactory for long-term operation. Such a machine may be operated for a short period in this condition.
Alarm: The values chosen will normally be set relative to a baseline value determined from experience. However, it is
recommended that the alarm value shall not exceed those given herein. Trip: The values will generally relate to the
mechanical integrity of the machine. They will generally be the same for all machines with similar design. It is
recommended that the trip value shall not exceed those given herein. Notes: (1) The measured vibration is broadband,
and the frequency range will depend on the type of machine being considered. A range from 2 to 1000 Hz is typical
except for in high-speed machines, . 10,000 rpm, where the upper limit should at least be six times the rotational
frequency. (2) It is common practice to evaluate rotating machinery based on the broadband RMS vibration velocity,
since it can be related to the vibration energy levels. However, other quantities such as vibration displacement or
acceleration may be preferred. Especially low speed machines can have unacceptably large vibration displacements when
the 1 £ rpm component is dominant. Therefore, where specified, both the velocity and displacement criteria are met. (3)
Since typical vibration waveforms measured on rotating machinery are complex in nature, there is no simple relationship
between broadband velocity, displacement, and acceleration. (4) Vibration measurements shall be taken on bearing
support housings, or other structural components, which adequately respond to the dynamic forces of the machine.
Recommended locations for bearing housings are shown in Figure 34.14. (5) For certain types of machines, the axial
vibration limits may differ from those for radial directions. Also, within the same machine set, in particular hydraulic
power-generating sets, the applicable level may differ from bearing to bearing depending on its classification as a rigid or
flexible support. (6) Above vibration limits apply to steady-state/normal operating conditions of the machine. If the
vibration levels are sensitive to the operational conditions, then evaluation of the machine for operating conditions
outside steady-state conditions will have to be based on different criteria. (7) The vibration limits specified herein should
not be used to assess the condition of rolling element type bearings although it encompasses machines that may have
these types of bearings. (8) It must be recognized that the vibration measurement on nonrotating parts alone does not
form the only basis for judging the condition of a machine. In certain types of machines, it is common practice also to
judge the vibration based on measurements taken on rotating shafts. (9) A support may be considered as rigid in a
specific direction only if its natural frequency in that direction exceeds the main excitation frequency by at least 25%,
otherwise it is considered to be flexible. In some cases, a support may be rigid in one direction and flexible in another.
(10) In the case of hydraulic machine sets, major differences in radial bearing support arrangement can occur. For
evaluation of the support type it is recommended that the reader refer to ISO 10816-5.
Vibration in Rotating Machinery 34-47
© 2005 by Taylor & Francis Group, LLC
Motor: The motor was a 3000 hp, two pole horizontal induction motor, designed to operate at
3600 rpm.
Supply: The supply was a VFD of the current source inverter type. These drives are known to generate
an oscillatory torque at 6 £ and 12 £ the operating frequency.
Coupling: Flexible disc type coupling with a spacer was used. These couplings have very little torsional
damping capacity.
Speed range: The speed range was from 1440 rpm (24 Hz) to 3900 rpm (65 Hz).
Reference: Refer to Figure 34.15 to Figure 34.18.
As for the resonance at second and third torsional critical speeds (Figure 34.15) the second and third
torsional modes are excited when the 6 £ component of rotational speed corresponds to the critical
speeds of 92 and 268 Hz, respectively. The 6 £ rpm torsional excitation is caused by the pressure
pulsations in the pump. The waterfall plot (Figure 34.15a) was taken during a run down of the set with
the power to the motor turned off.
A similar plot taken during run up of the motor (Figure 34.15b) shows excitations at the same
frequencies but having different amplitude. Since both the pump and motor generate 6 £ excitation, it
suggests a phase difference between the excitation torques.
It is important to note that the conventional vibration monitoring devices cannot detect the torsional
resonance problem. The only indication of a problem was the unusual chattering noise emitted by the
coupling. Special techniques to measure dynamic torque using strain gauges had to be used to detect the
torsional vibrations.
As for the motor housing resonance (Figure 34.16), the 2 £ rotational speed vibration of the motor is
dominant and peaks at 118 Hz corresponding to a natural frequency of the motor frame. In the waterfall
plot, the natural frequencies corresponds to excitations that are parallel to the axis. Excitation at
harmonics, including the 6 £ component, is present but is not dominant.
As for the pump vibrations at the vane passing frequency (Figure 34.17), the 6 £ vane passing
frequency is dominant at all operating speeds. It peaks at 238 Hz, possibly due to an acoustic resonance in
TABLE 34.7A Acceptable Vibration Levels for Rotating Machinery, Measured on Rotating Shafts
Machinery Type Power Level Speed Range (RPM) Applicable Vibration Level
Relative Displacement Absolute Displacement
Steam turbines P # 50 MW 1,000 # N # 30,000 D8 —
P . 50 MW N ¼ 1,500 D5 D7
P . 50 MW N ¼ 1; 800 D4 D6
P . 50 MW N ¼ 3,000 D2 D5
P . 50 MW N ¼ 3,600 D1 D3
Gas turbines P . 3 MW 3,000 # N # 30,000 D8 —
P # 3 MW 1,000 # N # 30,000 D8 —
Hydraulic turbines and pumps
used in hydraulic power
generation and pumping plants
P . 1 MW 60 # N # 1,800 D9 D9
Centrifugal pumps All 1,000 # N # 30,000 D8 —
Electric motors All 1,000 # N # 30,000 D8 —
Generators, excluding those used P # 50 MW 1,000 # N # 30,000 D8 —
in hydraulic power generation P . 50 MW N ¼ 1,500 D5 D7
P . 50 MW N ¼ 1,800 D4 D6
P . 50 MW N ¼ 3,000 D2 D5
P . 50 MW N ¼ 3,600 D1 D3
Generators and motors used P . 1 MW 60 # N # 1,000 D9 D9
in hydraulic power generation P . 1 MW 1,000 , N # 1,800 D8 —
Compressors, rotary, blowers,
and fans
All 1,000 # N # 30,000 D8 —
34-48 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
the discharge pipe. It does not seem to correspond to a structural natural frequency due to the absence of
excitations at 238 Hz at all speeds.
As for the acoustic resonance in the pump cross-over pipe (Figure 34.18), dynamic pressure pulsation
measurements made on the pump cross-over pipe from the first stage discharge to the second stage
suction show an acoustic resonance at 540 Hz. The consistent presence of some excitation at 540 Hz at all
speeds confirms that it is an acoustic natural frequency of the cross-over pipe. When the 6 £ rpm
pressure pulsation frequency coincides with the acoustic natural frequency, a resonance condition occurs
and the magnitude of the pressure pulsation increases by almost a factor of 30.
As for corrective action, for a pump that has to operate over a wide speed range, totally eliminating the
coincidence of all the frequencies of exciting forces with the system natural frequencies is impractical.
Therefore, the system has to be designed such that the resulting magnitudes of the forces are controlled to
within tolerable levels so that safe and reliable operation can take place. This can be accomplished by a
TABLE 34.7B Maximum Vibration Displacement Sp – p Limits (mm) Peak-to-Peak Limits for Different Levels
ZoneA ZoneB Zone C
D1 75 150 240
D2 80 165 260
D3 90 180 290
D4 90 185 290
D5 100 200 320
D6 110 220 350
D7 120 240 385
D8 4800=
ffiffi
pn 9000=
ffiffi
pn 13,200/
ffiffi
pn
D9 10ð2:338120:0704 log nÞ 10ð2:559920:0704 log nÞ 10ð2:860920:0704 log nÞ
Zone A: Newly commissioned machines should fall within this zone. Zone B: Machines with vibrations within this zone
are considered acceptable for long-term operation. Zone C: Machines with vibrations within this zone are normally
considered unsatisfactory for long-term operation. Such a machine may be operated for a short period in this condition.
Alarm: The values chosen will normally be set relative to a baseline value determined from experience. However, it is
recommended that the alarm value shall not exceed those given herein. Trip: The values will generally relate to the mechanical
integrity of the machine. They will generally be the same for all machines with similar design. It is recommended that the trip
value shall not exceed those given herein. Notes: (1) The measured vibration is broadband and is shaft vibration displacement
peak to peak. Where applicable, vibration limits for both absolute and relative radial shaft vibrations are given in certain
cases. (2) Relative displacement is the vibratory displacement between the shaft and an appropriate structural component
such as the bearing housing. Absolute displacement is the vibratory displacement of the shaft with reference to an inertial
frame of reference. (3) Relative measurements are carried out with a noncontacting transducer. Absolute readings are
obtained by one of the following methods: by a shaft riding probe on which a seismic transducer is mounted so that it
measures absolute shaft displacement directly, or with the combination of a noncontacting transducer which measures
relative shaft displacement and a seismic transducer which measures support vibration. Their conditioned outputs are
vectorially added to provide a measure of the absolute shaft motion. (4) The vibration evaluation criteria are dependent upon
a variety of factors and the criteria adopted will vary for different types of machines. Some of these factors are the
bearing type, clearance, and diameter. The adopted criteria have to be compared with the bearing diametral clearance
ðCÞ and adjusted to suit. Typical values are: Zone A #0.4C; Zone B #0.6C; and Zone C #0.7C. (5) Above vibration limits
apply to steady state/normal operating conditions of the machine. If the vibration levels are sensitive to the operational
conditions then evaluation of the machine for operating conditions outside steady-state conditions will have to be based on
different criteria. (6) It is recommended that vibration readings at each location be made with a pair of transducers and that
the transducers are mounted perpendicular to the shaft axis and they are at an angle of 908 to one another. The vibration
limits apply to each measured direction. (7) The mechanical and electrical run-out at each measurement location must be
assessed and should be , 25% of the allowable limit or 6 mm, whichever is greater. (8) It must be recognized that the
vibration measurement on rotating shafts does not form the only basis for judging the condition of a machine. In certain
types of machine, it is common practice also to judge the vibration based on measurements taken on nonrotating parts.
(9) ALARM levels should be set relative to a baseline value determined from experience for the measurement position,
direction and type of machine. It must provide a warning that a defined value, which is significantly above the baseline value,
has been reached. The maximum ALARM setting should be # 0.75C. (10) The TRIP values should be based on protecting the
mechanical integrity of the machine. Consideration of damage to bearings is typical; therefore, maximum TRIP setting
should be # 0.9C.
Vibration in Rotating Machinery 34-49
© 2005 by Taylor & Francis Group, LLC
TABLE 34.8 Vibration Cause Identification
Cause Dominant Frequency Spectrum, Time Domain,
Orbit Shape
Characteristics,
Corrections, Comments
Mass unbalance 1£ High 1 £ with much lower
harmonics; circular or
elliptic orbits
Corrected by shop or
field balancing
Shaft bow 1 £ Run down plot shows
decrease of vibration
at critical speed
The shaft has to
be straightened
using an acceptable
method
Misalignment 1 £ and 2 £ Equally high 1 £ and 2 £ ,
figure 8 orbits
Realign at operating
conditions; loads causing
misalignment, such as
nozzle loads, may have to
be reduced
Worn journal bearings 1 £ , 1/2 £ Equally high 1 £ and 1/2 £ Difficult to balance
Gravity critical 2 £ Run down plot will
show excitation at 1/2
critical speed
Can be corrected by
balancing
Asymmetric shaft 2 £ Run down plot will
show excitation at 1/2
critical speed
Typically occurs on
multistage machines when
all the keyways lie in the
same plane; correct by
staggering them
Shaft crack 1 £ and 2 £ High 1 £ and run down plots
may show excitation at
1/2 critical speed
Confirmation and detection
of location of the crack
may require NDE
techniques
Loose components 1 £ and higher orders plus
fractional subharmonics
High 1 £ with lower level
orders and fractional
subharmonics
Shimming and peening may
be used as temporary
methods to fix the
problem
Coupling lockup 1 £ and 2 £ Equally high 1 £ and 2 £ ,
figure 8 orbits
Stop starts may change
vibration pattern
Thermal instability 1 £ High 1 £ varies with temperature.
Phase angle may change
Proper prewarming or
compromise balancing can
correct the problem
Oil whirl , 1/2 £ , typically 0.35 £
to 0.47 £
Run-up plot will show
1/2 £ increasing and locking
into fixed value , 1/2 £
Temporary problem may be
caused by excess clearances,
oil viscosity, or unloading
of the bearing; if
it is a design
problem, correct by
changing to tilting pad
bearings
Internal rubs 1/4 £ , 1/3 £ , 1/2 £ , 2 £ ,
3 £ , 4 £ , etc.
Run down plots may
show decreasing
amplitudes and
disappearance;
loops in orbits
May get progressively
worse; galling between
contact surfaces or heat
build-up may cause seizure
and shaft failure
Trapped fluids
in rotor
0.8 £ to 0.9 £ Time domain signal will
show beating
Balancing the rotor may
reduce the vibration
Defective rolling
element bearings
At bearing defect frequency Peaks at defect frequencies
in spectrum
Shock pulse measurements
can also be used to
detect problem
Damaged gears Gear mesh frequency High peaks at gear mesh
frequency with side bands.
Time domain may
also show pulses
To determine exact nature
of damage further analysis
may be required
34-50 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
direct reduction of the exciting force or by means of increased damping. Based on these guidelines, the
following modifications were proposed to correct the problem:
1. Torsional resonance
* Use an electrometric type coupling that has a high degree of torsional damping to reduce the
magnitude of the torsional excitation forces such that the torsional stresses within the rotors are
within acceptable limits.
* Since both the pump and VFD generate excitation at 6 £ rpm, their effects could be
compounding one another. Introducing either five vane or seven vane impellers into the pump
will eliminate this possibility.
* Additional filters could be introduced into the VFD to reduce the 6 £ and 12 £ component
periodic torsional excitation.
* Consider not operating (lock out) the pump within ^10% of the frequency at which torsional
resonance occurs.
2. Motor housing resonance at 2 £
* Although the 2 £ vibration is dominant, its magnitude is within tolerable levels. The fact that
some 2 £ vibration is also present in the pump indicates that the 2 £ vibration is perhaps
caused by misalignment between the pump and the motor. This can be corrected by proper
TABLE 34.8 (continued)
Cause Dominant Frequency Spectrum, Time Domain,
Orbit Shape
Characteristics,
Corrections, Comments
Electric motor
problems
1 £ (line frequency),
2 £ (line frequency)
High peaks at 1 £ and 2 £ line
frequency with side bands;
disappears when power
to motor is turned off
In the case of two pole motors,
it can be confused with
mechanical causes as the
rotational speed is the
same as line frequency
Casing distortion 1 £ High 1 £ , may change with
time
Caused by high nozzle
loads, casing not free
to expand, soft foot
or foundation distortion
Piping forces 1£ , 2 £ Equally high 1 £ and 2 £ Causes misalignment
between bearings or
between coupled
equipment
Rotor and bearing
critical
1 £ High 1 £ , on rundown plot
1 £ decreases rapidly, may
also show a large phase
angle change
More common in machines
originally designed for
fixed speed operation, later
converted to variable speed
operation
Structural resonance 1 £ , 2 £ High 1 £ and some 2 £;can be
easily identified on run down
plot
Increase or decrease stiffness
of structure or add
or remove mass to
change natural frequency
Rotor hysteresis 0.65 £ to 0.85 £ Spectrum will show high
magnitudes at 0.65 £
to 0.85 £
Occurs in built up rotors
with transitional fits
Hydraulic causes 1 £ (vane pass frequency),
2 £ (vane pass frequency)
High 1 £ and 2 £ vane
pass frequency
Common in centrifugal
pumps due to flow
recirculation or inadequate
gap between impeller and
casing
Vibration in Rotating Machinery 34-51
© 2005 by Taylor & Francis Group, LLC
FIGURE 34.15 (a) Torsional resonance run-up and run-down plots; (b) torsional resonance run-down plot.
(Source: Private communique, Insight Engineering Services Ltd. Alta., Canada. With permission.)
34-52 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
FIGURE 34.16 Motor frame resonance. (Source: Private communique, Insight Engineering Services Ltd., Alta.,
Canada. With permission.)
FIGURE 34.17 Pump bearing housing resonance. (Source: Private communique, Insight Engineering Services Ltd.,
Alta., Canada. With permission.)
Vibration in Rotating Machinery 34-53
© 2005 by Taylor & Francis Group, LLC
alignment and thus reducing the 2 £ excitation forces. In some cases, due to an unequal air gap
between the rotor and stator of the motor, the motor could generate the 2 £ vibration. Under
such conditions, accurate centering of the motor bearings will generally correct the problem.
3. Pump vibrations at vane passing frequency
* Generally, high vibrations at vane passing frequency are caused by pressure pulsations
generated at the discharge of the impeller. There are several hydraulic modifications that
can be made to the pump to reduce the amplitude of these pulsations that occur at vane
passing frequency. The most common method is to increase the gap between the impeller
discharge vanes and diffuser/volute. Also, changing the ratio of the number of impeller
vanes to diffuser/volute vanes can help in reducing vane passing frequency pressure
pulsations and the resulting vibration.
4. Acoustic resonance in the pump cross-over pipe
* Once the pump is constructed, it is not possible to change the acoustic natural frequency
of the cross-over pipe. However, the excitation force, pressure pulsations generated at the
impeller discharge, can be reduced by the methods outlined above.
FIGURE 34.18 Pump cross-over pipe acoustic resonance. (Source: Private communique, Insight Engineering
Services Ltd., Alta., Canada. With permission.)
* The root cause of a vibration problem in a rotating machine can be determined by careful
study and analysis of the vibration signals.
* Industrial and international vibration standards and guidelines have been developed to
ensure safe and reliable operation of rotating machinery.
* Equipment manufacturers, users, insurance companies, and public interest groups use
vibration standards to control vibration to within acceptable levels.
34-54 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
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