Find what the high readings have in common

The bearing order for cooling-water pump 3 looks straightforward. The motor-top vibration was low through the cooler months, then high in March, about half as high in April and high again in May. The work request says replace the motor bearings.

There is a useful check before that order goes ahead. This vertical pump has a variable-frequency drive (VFD) holding the header pressure, so a monthly visit need not catch it at the same speed. The pump and its readings are a calculated example, not a plant record; the resonance pattern is documented in pump guidance.

Before a bearing set is ordered, add one column to the route record: the drive speed at the moment of each reading. In this record, the four highest readings were all taken between 1,300 and 1,335 rpm, on afternoons when cooling demand pushed the drive up. Every lower reading came at a lower speed, between 1,060 and 1,240 rpm.

That clustering changes the investigation. A repeatable peak in one speed band supports checking for resonance; it does not clear the bearings. Bearing condition still needs its own evidence, compared at similar speed and duty.

Why one speed can make the structure shake

Every machine pushes on its structure as it turns, because no rotor is perfectly balanced and no shaft line is perfectly aligned. A pump rotordynamics tutorial from the Texas A&M Turbomachinery and Pump Symposium names the forcing frequencies seen most often in pumps: running speed (1×), twice running speed (2×) and vane pass, which is the number of impeller vanes times running speed.

The structure has natural frequencies of its own, the rates at which it rings if you rap it. When a forcing frequency lands on one, each push arrives just as the motion from the last one comes round. The motion builds until damping soaks up as much energy as each push adds. The tutorial puts the usual amplification at 2 to 25 times the movement the same force would cause if it were steady.

A fixed-speed pump can be designed to keep clear of its natural frequencies. On a VFD, every forcing frequency sweeps across a range. The DOE guide to variable speed pumping, written with the Hydraulic Institute and Europump, says this greatly increases the chance of resonance within the operating range, and that vertical pumps are more prone to it than horizontal ones because their natural frequencies are lower.

On a vertical pump, look first at the tall discharge head and motor above the base, which can sway together like a reed: the Hydraulic Institute's pump dynamics guideline calls this the reed frequency. The access windows cut into the discharge head can make it stiffer in one direction than the other, so the frequency in line with the discharge pipe can differ from the one across it, as a Hydraulic Institute pump FAQ explains.

The force has not grown. The structure's response has, and the tutorial warns that resonant motion often damages bearings, seals and running clearances. New bearings fitted into the same structure would meet the same motion.

Same readings, a different pattern

Plot the same twelve readings against drive speed. The calculation assumes a natural frequency of 1,320 rpm (22 Hz), 5% damping and unchanged unbalance. It plots vibration velocity at running speed; nothing wears. The four-pole motor stays below 1,500 rpm at the drive's 50 Hz maximum.

ONE RECORD, TWO VIEWS

Change the axis. See the pattern.

The same twelve readings, sorted by drive speedThe twelve monthly readings plotted against drive speed from 1,000 to 1,500 rpm, with the model's response curve behind them. The curve is solid from 1,060 to 1,335 rpm, where the readings lie, and dashed outside that span, where no reading supports it. It peaks at about 1,325 rpm, beside the assumed natural frequency of 1,320 rpm. The four highest readings, March, May, July and September, were taken at 1,300 to 1,335 rpm. December, at 1,060 rpm, and August, at 1,190 rpm, sit lower on the same curve, as do all the other months. The descending tail above 1,335 rpm is dashed: no reading lies on it. A pale amber strip marks only the 1,300 to 1,335 rpm span of the four high visits, not a prescribed operating or skip-speed band. First panel repeats the same twelve observations in month order; second panel sorts them by speed. Both use the same vertical percentage scale.SAME 12 READINGS% of the highest reading0%50%100%0%50%100%Ordered by monthOrdered by drive speedNovMarJulOct1,320 rpm natural frequency1,0001,2501,500Drive speed (rpm)Mar, May, Jul, Sep: high readingsat 1,300 to 1,335 rpmDashed: no readingsat these speeds
The same twelve readings, sorted by drive speedThe twelve monthly readings plotted against drive speed from 1,000 to 1,500 rpm, with the model's response curve behind them. The curve is solid from 1,060 to 1,335 rpm, where the readings lie, and dashed outside that span, where no reading supports it. It peaks at about 1,325 rpm, beside the assumed natural frequency of 1,320 rpm. The four highest readings, March, May, July and September, were taken at 1,300 to 1,335 rpm. December, at 1,060 rpm, and August, at 1,190 rpm, sit lower on the same curve, as do all the other months. The descending tail above 1,335 rpm is dashed: no reading lies on it. A pale amber strip marks only the 1,300 to 1,335 rpm span of the four high visits, not a prescribed operating or skip-speed band. First panel repeats the same twelve observations in month order; second panel sorts them by speed. Both use the same vertical percentage scale.SAME 12 READINGS% of the highest reading0%50%100%0%50%100%Ordered by monthOrdered by drive speedNovMarJulOctNatural frequency: 1,320 rpm1,0001,2501,500Drive speed (rpm)Mar, May, Jul, Sep: high readingsat 1,300 to 1,335 rpmDashed: no readings at these speeds
Calculated readings and curve

Twelve readings, now ordered by speed. The pale amber strip spans the four high visits, 1,300 to 1,335 rpm; it is not a prescribed operating or skip-speed band. Dashed sections lie outside the measured 1,060 to 1,335 rpm span.

The readings now follow one curve, and similar speeds months apart agree. Some rise with speed is expected: SKF's spectrum analysis guide lists that among the signs of unbalance. Here, the sharp climb near 1,320 rpm deserves a closer look.

The model also leaves out the scatter of real readings, and the curve is dashed where no reading supports it. No visit fell above 1,335 rpm, so the descending tail beyond that speed is calculated, not measured. A planned test has to supply it.

This works only if speed is in the record, ideally from a tachometer. The drive's output frequency is second best: an induction motor runs slightly below its synchronous speed, and further below it under load, as the US Department of Energy's motor fact sheet explains.

Record direction too. Take both horizontal directions at the motor top and mark the one in line with the discharge; a reading much higher in one direction fits the directional stiffness described above.

Speed also moves a pump's flow and head, so a hydraulic problem can change with speed too. Our field note on where the pump is running covers those checks.

Give the suspected resonance a proper test

Test the suspected band under an agreed plan. ISO 13373-2 includes refining a diagnosis by changing operating conditions. Both tests below need a qualified analyst (ISO 18436-2), site permits and operating-team approval.

A slow speed sweep. In a low-demand window, the operating team moves the pump slowly through its approved speed range, or the analyst records through a planned stop or start. At each speed the analyst logs the amplitude and phase of the running-speed (1×) component in both directions at the motor top. Keep the sweep moving through the band rather than holding the pump in it.

Phase needs a once-per-turn reference from the shaft, as Prosig explains; a common choice is an optical or laser tachometer reading a reflective mark on the shaft, as PCB Piezotronics describes.

AMPLITUDE AND PHASE, TOGETHER

The peak is only half the story.

A slow speed sweep: amplitude and phaseCalculated 1x amplitude, as a percentage of the resonant peak, and displacement lag behind the force, from 1,000 to 1,480 rpm. Solid line: the example structure, natural frequency 1,320 rpm. Dashed line: the same unbalance on an equally stiff but lighter structure whose natural frequency, 2,400 rpm, lies above the speed range. The solid amplitude peaks near 1,325 rpm and falls to about half of the peak by 1,480 rpm; its phase lag rises from about 10 to about 156 degrees, crossing 90 degrees at the natural frequency, a change of about 146 degrees. The dashed amplitude rises steadily to about 23% of the peak and its phase lag stays below 6 degrees.A SLOW SPEED SWEEPNatural frequency in the rangeNone in the rangeAmplitude, % of peak0%50%100%Displacement lag behind force0°90°180°1,0001,1001,2001,3001,4001,500Drive speed (rpm)Natural frequency, 1,320 rpmAbout 146° of change across the rangeStays under 6°
A slow speed sweep: amplitude and phaseCalculated 1x amplitude, as a percentage of the resonant peak, and displacement lag behind the force, from 1,000 to 1,480 rpm. Solid line: the example structure, natural frequency 1,320 rpm. Dashed line: the same unbalance on an equally stiff but lighter structure whose natural frequency, 2,400 rpm, lies above the speed range. The solid amplitude peaks near 1,325 rpm and falls to about half of the peak by 1,480 rpm; its phase lag rises from about 10 to about 156 degrees, crossing 90 degrees at the natural frequency, a change of about 146 degrees. The dashed amplitude rises steadily to about 23% of the peak and its phase lag stays below 6 degrees.A SLOW SPEED SWEEPNatural frequency in the rangeNone in the rangeAmplitude, % of peak0%50%100%Displacement lag behind force0°90°180°1,0001,2501,500Drive speed (rpm)1,320 rpmAbout 146°of change
Calculated sweep

Velocity amplitude and displacement phase for the same unbalance on two structures. Solid: natural frequency 1,320 rpm. Dashed: equally stiff and lighter, with natural frequency 2,400 rpm. The phase change is about 146 degrees versus 3 degrees.

The lower chart shows displacement phase lag, not velocity phase. Its 90-degree crossing marks the natural frequency. A velocity signal is shifted by a constant 90 degrees relative to displacement, so the size of the phase change across speeds stays the same.

Sensor position and the shaft mark add an offset to a field phase reading, another reason to compare the change rather than an absolute value. The same SKF guide gives the phase values in its fault rules a tolerance of about 30 degrees either way, for mechanical variance. The change of about 146 degrees in the calculated sweep is far outside that.

An impact test. With the pump stopped and isolated under the site's permit, the analyst strikes the structure, often with an instrumented hammer, and records how it rings. Natural frequencies show up as peaks in the response. ISO 7626-5 notes that even a quick impact test gives approximate natural frequencies.

Test the installed pump, because water in the column, the pipework and the foundation all affect its natural frequencies. A clean vibration test at a single speed is no proof either: the DOE guide notes that a pump meant for variable speed is often tested at only one speed.

A sweep shows how the structure behaves while running; an impact test finds its natural frequencies at rest. A practitioner article summarised on Emerson's blog advises at least two tests before anything is changed.

What each pattern points to

Narrow peak, large phase swing

Resonance is the leading explanation. Check which forcing frequency (1×, 2× or vane pass) meets it.

Steady rise with speed, steady phase

Check unbalance and alignment, which the tutorial puts first in its troubleshooting order. Review duty and measurement settings too; this pattern alone does not settle the cause.

Higher than before at the same speed

The machine or the measurement has changed. Check the measurement, then investigate, bearings included.

Energy at calculated bearing frequencies

Evidence of bearing damage, whatever the speed pattern. Our vibration alarm field note covers how to qualify it.

Choose the fix after confirming the band

Once the band is confirmed, there are two common ways out of it. Neither is a bearing change.

Change the structure. Added stiffness raises a natural frequency; added mass lowers it. For vertical pumps the Hydraulic Institute FAQ lists changes to the discharge head windows or shell, ribs or gussets, the structural height, the flanged joints or the driver.

Keep the natural frequency a clear margin from the whole operating speed range, not just the usual speed. Check 2× and vane pass too, because a natural frequency moved away from 1× can land on another forcing frequency. This is work for the pump maker or a structural specialist, followed by a repeat sweep.

Keep the drive out of the band. ABB's ACS880 firmware manual describes a critical speeds function for avoiding mechanical resonance, and SEW-EURODRIVE's documentation explains how its skip frequency band behaves: if the requested speed falls inside the band, the drive holds at its upper or lower edge, depending on the previous setpoint, and crosses the band on its normal ramp.

The pressure control then has to live with a gap in the pump's range. Agree the band with operations, keep a margin either side of the measured peak and confirm that the remaining range still meets demand. A skip band can be a permanent setting, or a stopgap while a structural change is designed.

If the bearing evidence also points to damage, change the bearings and deal with the band as well. Otherwise the new set goes straight back into the resonance.

Worked example

Back to the bearing work request

Back to cooling-water pump 3. The planner has the route history, the drive log and one envelope spectrum, a processed reading that SKF's guide describes as bringing out the repeated impacts of a rolling-bearing defect.

StageEntryWhat it shows
Speed checkDrive log

The four highest readings, 1.7 to 2.8 times those in the months between, were all taken at 1,300 to 1,335 rpm.

Matched comparisonSimilar speed, six months apart

March at 1,320 rpm and September at 1,310 rpm agree within 3%, so there is no upward drift at matched speed.

Frequency contentSpectrum and envelope

The high component is at 1× running speed. The envelope spectrum shows no pattern at the calculated bearing frequencies.

Still openStructure and direction

No speed sweep with phase or impact test yet, and most visits measured one direction only.

Six checks to keep with the bearing order

  • SpeedShaft speed, or at least the drive output frequency, with every reading.
  • DirectionBoth horizontal directions at the motor top, with the one in line with the discharge marked.
  • Matched comparisonReadings at the same speed compared before anyone calls a trend.
  • FrequencyWhether the high component sits at 1×, 2×, vane pass or a calculated bearing frequency.
  • Confirming testA slow sweep with phase and, where possible, an impact test, run by a qualified analyst.
  • Fix and verifyA structural change or an agreed skip band, followed by a repeat test.

Sources behind the field method

These references inform the method in this field note. Standards links point to public catalogue pages, and only their public abstracts or contents pages were read. They do not imply ConditionCore certification or conformity with a particular standard.

References

Send the speeds with the readings.

Back at the work request, the useful next step is no longer simply another bearing set. It is to establish whether the high readings follow a structural response, a bearing problem, a hydraulic condition or a combination. Sorting by speed has narrowed the question; the planned tests still have to answer it.

If a variable-speed machine on your site reads high in one speed band, send ConditionCore the route readings with their speeds and directions, the spectra and drive logs you have, and any sweep or impact data. The vibration analysis page lists resonance among the patterns the method can reveal, judged from amplitude and phase change across speed.

The review returns what is usable, the leading explanation and its alternatives, and the next check that would separate them. Your team or your analyst runs any test on site.

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