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Failure-Mode Analysis    297

            true mechanical imbalance, the blade-pass and vane-pass frequency components are
            broader and have more energy in the form of sideband frequencies.

            In most cases, this failure mode also excites the third (3¥) harmonic frequency and
            creates strong axial vibration. Depending on the severity of the instability and the
            design of the machine, process instability can also create a variety of shaft-mode
            shapes. In turn, this excites the 1¥, 2¥, and 3¥ radial vibration components.


            14.1.7 Resonance
            Resonance is defined as a large-amplitude vibration caused by a small periodic
            stimulus with the same, or nearly the same, period as the system’s natural vibration.
            In other words, an energy source with the same, or nearly the same, frequency
            as the natural frequency of a machine-train or structure will excite that natural fre-
            quency. The result is a substantial increase in the amplitude of the natural frequency
            component.

            The key point to remember is that a very low amplitude energy source can cause
            massive amplitudes when its frequency coincides with the natural frequency of a
            machine or structure. Higher levels of input energy can cause catastrophic, near instan-
            taneous failure of the machine or structure. Every machine-train has one or more
            natural frequencies. If one of these frequencies is excited by some component of the
            normal operation of the system, the machine structure will amplify the energy, which
            can cause severe damage.

            An example of resonance is a tuning fork. If you activate a tuning fork by striking it
            sharply, the fork vibrates rapidly. As long as it is held suspended, the vibration decays
            with time; however, if you place it on a desktop, the fork could potentially excite the
            natural frequency of the desk, which would dramatically amplify the vibration energy.

            The same thing can occur if one or more of the running speeds of a machine excite
            the natural frequency of the machine or its support structure. Resonance is a destruc-
            tive vibration and, in most cases, it will cause major damage to the machine or support
            structure.

            Two major classifications of resonance are found in most manufacturing and process
            plants: static and dynamic. Both types exhibit a broad-based, high-amplitude fre-
            quency component when viewed in an FFT vibration signature. Unlike meshing or
            passing frequencies, the resonance frequency component does not have modulations
            or sidebands. Instead, resonance is displayed as a single, clearly defined peak.

            As illustrated in Figure 14–9, a resonance peak represents a large amount of energy.
            This energy is the result of both the amplitude of the peak and the broad area under
            the peak. This combination of high peak amplitude and broad-based energy content
            is typical of most resonance problems. The damping system associated with a reso-
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