Why Vibration Analysis Takes a Specialist
An accelerometer is a simple sensor. A vibration program is not. The raw signal is a time waveform, and turning it into a
diagnosis takes a chain of signal processing steps, each with settings that change the answer. The skill involved is formal
enough that ISO 18436-2 certifies vibration analysts in four categories, from Category I data collectors to Category IV
specialists. Below is the vocabulary a reader of a vibration report is expected to know.
Getting a usable signal
Sampling and aliasing:
The signal must be sampled at more than twice the highest frequency of interest, the Nyquist limit. Sample too slowly and high-frequency content folds back into the spectrum as false low-frequency peaks, called aliases. Anti-aliasing filters prevent this, but only if the collector is set up for the frequencies that matter.
Units:
The same vibration can be expressed as displacement (mils), velocity (in/s or mm/s) or acceleration (g). Displacement favors slow shaft problems, velocity covers general machine faults, and acceleration is needed for the high-frequency content of early bearing and gear damage. The wrong unit can make a real fault look insignificant.
Mounting and location:
A stud-mounted sensor, an adhesive pad and a magnetic base each have a different usable frequency range. The transmission path from the defect to the sensor matters as much as the sensor itself, and a measurement taken a few inches away or in a different direction can tell a different story.
Turning a waveform into a spectrum
Fast Fourier transform (FFT):
The FFT converts the time waveform into a frequency spectrum, showing how much vibration occurs at each frequency. Every FFT involves choices: maximum frequency (Fmax), lines of resolution, window function and number of averages. Finer resolution needs a longer capture, and the machine has to hold steady speed for the whole capture or the peaks smear.
Orders and order tracking:
Frequencies are read as multiples of shaft speed. Unbalance tends to appear at 1×, misalignment at 2×, looseness as a long series of harmonics. When speed varies, a tachometer reference and order tracking are needed to keep those peaks from wandering across the spectrum.
Bearing defect frequencies:
Each rolling bearing has four characteristic frequencies: ball pass frequency outer race (BPFO), ball pass frequency inner race (BPFI), ball spin frequency (BSF) and fundamental train frequency (FTF). They are calculated from the bearing's geometry, ball count, pitch diameter and contact angle, so the analyst needs the exact bearing installed. They are not whole multiples of shaft speed, which makes them easy to confuse with other peaks.
Gear mesh and sidebands:
Gear mesh frequency is the tooth count times shaft speed. A damaged gear modulates the mesh, producing sidebands spaced at the faulty gear's shaft speed on either side of the mesh peak and its harmonics. In a multi-stage gearbox with several meshes and shafts, the sideband families overlap.
Phase analysis:
Amplitude alone often cannot separate unbalance, misalignment, bent shafts and looseness. Comparing the phase of vibration between bearings and directions can, but it takes simultaneous measurements and a trained eye.
Digging out early faults
Envelope analysis:
Also called demodulation or the high-frequency resonance technique. An early bearing defect produces small, repeating impacts that ring a structural resonance in the kilohertz range. The analyst band-pass filters around that resonance, extracts the envelope of the signal, and runs an FFT on the envelope to find the impact repetition rate, which should match a bearing defect frequency. Choosing the filter band is the hard part. Pick the wrong band and the defect disappears.
Spectral kurtosis:
A statistical method, often displayed as a kurtogram, for finding the frequency band where impacts stand out most. It exists largely because choosing the envelope band by hand is so difficult.
Time synchronous averaging:
Waveform blocks are averaged in step with one shaft's rotation, so everything not synchronous with that shaft averages away. It is the foundation of gear condition indicators such as FM4 and NA4, the algorithms used in the NASA studies below. It requires a once-per-revolution reference for each shaft of interest.
Cepstrum:
The spectrum of the logarithm of a spectrum, plotted against quefrency rather than frequency. It collapses a family of evenly spaced harmonics or sidebands into a single peak, which helps in a crowded gearbox spectrum but is one more abstraction removed from the machine.
Crest factor and kurtosis:
Statistical measures of how spiky the waveform is. They rise as early impacts appear, then can fall again as damage spreads and the signal becomes noisy rather than impulsive. A falling number can mean the machine is getting worse, not better.
Understanding the structure
Modal analysis:
Every structure has natural frequencies and mode shapes. Modal analysis, often an impact hammer bump test, identifies them. Without it, a resonance can amplify a harmless running-speed peak into an apparent alarm, or a defect frequency can fall where the structure barely responds and go unseen.
Operating deflection shapes:
Measuring how the machine actually moves at a given frequency while running, across many points. It shows whether a peak comes from the component or from the base, frame or piping around it.
Severity standards:
ISO 20816, which supersedes ISO 10816, grades overall vibration velocity into zones A through D by machine class. Overall levels are useful for gross faults but respond late to early bearing and gear damage, which is why the techniques above exist.
Each step is a place for the answer to go wrong: an Fmax set too low, a filter band in the wrong place, the wrong bearing
geometry, speed drifting during a capture, or a structural resonance mistaken for a fault. Trending only works when readings
are repeated at the same points, under similar speed and load, and someone reviews them on a schedule. Even then, the NREL
round robin [7] showed that experienced vendors looking at identical data can reach different
conclusions.
A debris sensor asks far less of its user. There is no spectrum to read and no settings that change the result. The output is
the amount of ferrous debris collected, and when it rises faster than normal, something is wearing.