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Vibration Monitoring and Analysis  131

            [Note: Most vibration-monitoring programs rely on data acquired from machine
            housing or bearing caps.] In most cases, peak velocity values are used with vibration
            data between 0 and 1,000Hz. These data are acquired with microprocessor-based,
            frequency-domain systems.

            Acceleration. Acceleration is defined as the time rate of change of velocity (i.e.,
                                          2
                                         dX
                                                ¨
            second derivative of displacement,  2  or X) and is expressed in units of inches per
                                         dt
                               2
            second squared (in/sec ).  Vibration frequencies above 1,000Hz should always be
            expressed as acceleration.
            Acceleration is commonly expressed in terms of the gravitational constant, g, which
                       2
            is 32.17ft/sec . In vibration-analysis applications, acceleration is typically expressed
            in terms of g-RMS or g-PK. These are the best measures of the force generated by a
            machine, a group of components, or one of its components.

            Measurement Classifications. There are at least three classifications of amplitude
            measurements used in vibration analysis: broadband, narrowband, and component.

            Broadband or overall. The total energy of all vibration components generated by a
            machine is reflected by broadband, or overall, amplitude measurements. The normal
            convention for expressing the frequency range of broadband energy is a filtered range
            between 10 to 10,000Hz, or 600 to 600,000cpm. Because most vibration-severity
            charts are based on this filtered broadband, caution should be exercised to ensure that
            collected data are consistent with the charts.

            Narrowband. Narrowband amplitude measurements refer to those that result from
            monitoring the energy generated by a user-selected group of vibration frequencies.
            Generally, this amplitude represents the energy generated by a filtered band of vibra-
            tion components, failure mode, or forcing functions. For example, the total energy
            generated by flow instability can be captured using a filtered narrowband around the
            vane or blade-passing frequency.

            Component. The energy generated by a unique machine component, motion, or other
            forcing function can yield its own amplitude measurement. For example, the energy
            generated by the rotational speed of a shaft, gear set meshing, or similar machine com-
            ponents produces discrete vibration components whose amplitude can be measured.

            Common Elements of Curves. All vibration amplitude curves, which can represent
            displacement, velocity, or acceleration, have common elements that can be used to
            describe the function. These common elements are peak-to-peak, zero-to-peak, and
            root-mean-square, each of which are illustrated in Figure 7–11.

            Peak-to-peak. As illustrated in Figure 7–11, the peak-to-peak amplitude (2A, where
            A is the zero-to-peak) reflects the total amplitude generated by a machine, a group of
            components, or one of its components. This depends on whether the data gathered are
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