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Rotor Dynamics Technology  181

            quency at slightly less than one-half of the running speed frequency.
            When unusually high-vibration amplitudes have been encountered in
            the past, the vibration signal has been analyzed for its frequency con-
            tent to determine if the high vibration was subsynchronous and, there-
            fore, related to an instability mechanism. This type of problem has
            been identified as a bearing oil film instability caused by improper
            loading of fixed-arc bearings. The problem has always been resolved by
            redesigning the bearing to increase its eccentricity or, in some cases, by
            installing tilting-pad bearings. With the extensive application of tilting-
            pad bearings over the past several years, this type of problem has not
            occurred in well-designed equipment.
              In the context of normal, acceptable vibration behavior, the total
            vibration signal includes many frequency components, both syn-
            chronous and nonsynchronous. Generally, the synchronous component
            related to rotor speed has the largest amplitude, depending on the
            degree of rotor balance. In the past there has been little concern
            regarding the frequency spectrum and the identification of the various
            components. This has resulted in very little documentation, for tur-
            bines in service, in the form of spectrum analyses that define exactly
            the subsynchronous components. The total, unfiltered, vibration signal
            is always somewhat greater in amplitude than the filtered, syn-
            chronous vibration amplitude, and subsynchronous vibration may ac-
            count for some of the difference. When a classic instability occurs, the
            total vibration is several times larger than the synchronous vibration
            amplitude.
              Vibration limits are usually specified as the total amplitude of the
            unfiltered vibration signal. This is compatible with present control
            room vibration readouts that are unfiltered. In factory tests, more
            emphasis is placed on the synchronous vibration component that can
            be reduced to very low levels by precision balancing while other fre-
            quency components are unaffected. Since the final vibration limits are
            unfiltered, any sizeable subsynchronous vibration components that
            occurred during factory tests would be apparent regardless of the
            degree of balance. This is also true of field installations, where the total
            vibration signal is monitored.
              The presence of subsynchronous vibration components can be
            detected by vibration meters, which display only the total unfiltered
            amplitude, because of the fluctuation in the reading. The synchronous
            amplitude and its multiples are usually fairly steady in amplitude. But
            when subsynchronous vibration is superposed, it causes periodic rein-
            forcement and cancellation of the total steady signal that produces the
            amplitude fluctuation, or bounce, in the amplitude reading.This type of
            behavior has been observed on many turbines in the past.
              In recent years, signature analysis has evolved as a possible indica-
            tor of the condition of rotating machinery. Frequency spectra of vibra-
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