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6C06DAC_DIASOLV


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Diagnosing                                 frequency response of the actual
                                           system. The examples discussed here
                                           illustratebothapproaches.
                                                                                     The phase with respect to the tacho-
                                                                                     meter on the shaft remains stable and
                                                                                     suggests that the two resonances are
and Solving                                With either approach, you often need
                                           to consider additional elements as part
                                                                                     associated with the pump's housing or
                                                                                     mountingstructure,nottheshaft.If
Resonance                                  of the mechanical system. For
                                           instance,thesupportstructurefora
                                                                                     thevibrationlevelisunacceptable,we
                                                                                     need to either avoid operating speeds
                                           pump can affect the pump's dynamics       around 3600 and 4600 RPM or modify
Problems                                   because it adds its own mass and
                                           stiffnesspropertiestotheequation.
                                                                                     the dynamics to move the resonances
                                                                                     up or down.
by Phillip Garrett and Tom Lantrip,        This is the reason why pieces of
Southern Company Services, Inc.            equipment that behave well before         Stimulus-Response Testing
One of the most common reasons for         being installed sometimes misbehave       Another common test technique is
high vibration of plant equipment is       once they are installed--and why          excitinga structurewithan external
some form of resonance of the              equipment suppliers need to make          stimulus and measuring how the
equipment components or support            surethattheirproductsstilloperate         structuredeflectsinresponse.Impact
structure. Every mechanical system         properlyafterinstallation.                testing is one of the easiest methods.
has resonant frequencies (damped                                                     You typically excite the system with
naturalfrequencies).Ifthesystemis          Run-Up and Coast-Down                     an instrumented impact hammer and
exposed to vibration at these frequen-     Testing                                   use a signal analyzer to measure this
cies,itwillamplifythevibrations.The        A common way to identify resonances       input force and the response of the
effectsofthisamplifiedvibrationcan         empiricallyistooperatetheequip-           system simultaneously. The resulting
range from premature wear and              ment across its range of operating        frequency response function provides
excessive maintenance to material          speeds while measuring the vibration      both magnitude and phase plots to
fatiguetocompletestructuralcol-            it exhibits. Run-up and coast-down        helpyoulocatenaturalfrequencies.
lapse. Any time you're dealing with        tests, which monitor vibration from
rotating machinery, such as the variety    standstill to maximum speed and back      A second option uses an electric or
ofpumpsdiscussedinthisarticle,             down, are a quick way to see if           hydraulic shaker to excite the
vibrationproblemsareapossibility.          troublesome resonances are present in     structure. The shaker is driven by a
                                           thesystem.                                source signal from the analyzer. A
Solving vibration problems can                                                       random noise signal excites across the
increase uptime and decrease mainte-       When you see a discrete peak in the       entirefrequencyrange;asinusoidlets
nance, replacement and operating           magnitude that is accompanied by a        you sweep across and dwell at
costs.It'satwo-partprocess.First,          phaseshiftatthesamefrequency,it's         particularfrequenciesifneeded
you need to identify the natural           a good indication that a resonance        (similar to doing run-up and coast-
frequencies and compare these              exists there. Figure 1 shows the          down tests). The shaker excitation is
frequencies to the operating speeds of     magnitude and phase of the vibration      transmitted through a stinger rod to a
your equipment. Second, to resolve         we measured during a coast-down test      load cellattached tothe structure. The
the problem you have to make a             on a boiler feed pump. We acquired        load cell provides a measure of the
choice between changing the operat-        the data with proximity probes on the     inputforce.Aswithimpacttesting,
ing speed or changing the resonant         shaft and used order tracking to keep     your signal analyzer measures the
frequencies(orboth).                       the measurement stable as we ramped       input force and the output response
                                           the speed down.
Two Approaches to Identifying
Resonances
You have two options for identifying
resonant frequencies. With the
analytical approach, you can use finite
element analysis to build a computer
model of the system (the piece of
equipment,itssupportstructure,etc.)
and simulate its dynamics. With the
empirical approach, you measure the


       Figure 1: The insignificant phase
       shifting at about 3600 rpm sug-
       gests that the corresponding
       magnitude peak is a structural
       resonance, not a shaft reso-
       nance. You can see that the
       magnitude peaks at around 3600
       and 4600 RPM, indicating two
       resonances. (Plotted with
       Microsoft 



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