DROP · SHOCK · VIBRATION / EQUIPMENT & INSTRUMENTATION

APPLICATION NOTE · T8-DSA-503

Automatic Machine Fault Diagnosis

Rotating machines rarely fail suddenly. Most go through weak early anomalies, gradual development, deterioration beyond limits and then failure. The weak impacts of early bearing spalling cannot be heard or felt, but they leave a stable signature in the spectrum. The fault diagnosis module automates the recognition of these signatures: from one vibration record it detects the speed, calculates bearing and gear characteristic frequencies, evaluates the vibration zone against the standard, and lists conclusions such as “bearing inner race fault, severity: moderate, confidence 88 %” that can go straight into a maintenance work order.

Category
Rotating machinery
Applies to
T8-3X Dynamic Signal Analyzer
Content reviewed

Function overview

The module produces a complete diagnosis in one refresh. The main window has an information area at the top, parameters on the left and four linked plots.

FunctionCapabilityBenefit
Four linked plotsTime waveform, acceleration spectrum, velocity spectrum and speed trend, refreshed togetherOne screen shows the waveform, where the energy is and whether the speed is stable
Condition tablePeak, mean, RMS, kurtosis, skewness, crest factor, clearance factor, harmonic factor, RMS velocity, ISO zone and moreThe machine condition in one table without manual calculation
Automatic speed detectionThe running frequency is searched in the spectrum and tracked frame by frame, with a speed trend curveNo reflective tape, no tachometer sensor, no wiring or tuning
ISO vibration zoneZones A/B/C/D to ISO 10816-3 (GB/T 6075.3)Answers whether the machine is in good condition in internationally recognized terms
Low-order harmonic diagnosis1×/2×/3× harmonic ratio rulesNames unbalance, misalignment and looseness automatically
Bearing diagnosisCharacteristic frequencies from bearing geometry, with signal-to-noise and sideband checksEarly bearing faults flagged, with a basis for maintenance priority
Gear diagnosisMesh frequency from the number of teeth, with sideband analysisGearbox condition managed on the same platform
Exponential averagingMulti-frame spectral averaging to suppress random interference, restartableStable conclusions in noisy environments
Test signalBuilt-in demonstration signal with unbalance and inner and outer race fault componentsTraining, demonstration and acceptance without a real machine
Report exportDiagnosis report in Excel formatFor inspection records and work orders

Applications

ApplicationTypical objectsMethod
Routine inspectionFans, pumps, motors, compressors, centrifugesAcquire a record during the round and get the ISO zone and diagnosis on site
Condition-based maintenanceContinuous tracking of critical machinesCompare speed trends and spectral shapes regularly and plan maintenance windows early
Acceptance and overhaul verificationNew or overhauled machinesUse ISO zones A/B as the acceptance baseline and keep the Excel report
Early bearing fault warningReducers, gearboxes, drive ends of large motorsEnter the bearing parameters and track the signal-to-noise trend at the characteristic frequencies
Diagnosis training and demonstrationPre-sales demonstrations, in-house training, university teachingEnable the test signal to demonstrate the complete process on any computer

Why it matters

The aim of condition monitoring is not an impressive waveform but the right maintenance at the right time. The module turns vibration values into three kinds of maintenance information.

  • Detect problems before failure. In early bearing spalling the fault energy may be only a few times the background noise, inaudible and impossible to feel, but it leaves a stable signature at the bearing characteristic frequencies. Checking inner race, outer race, rolling element and cage frequencies with signal-to-noise grading can flag faults at an early stage and give weeks or months for spare parts and planning.
  • Base decisions on data. Each conclusion carries a confidence level and severity grade, so the maintenance priority of several machines can be ranked directly, avoiding both unnecessary maintenance and running with faults.
  • Use a common language. RMS velocity is classified to ISO 10816-3 into A (new machine condition), B (unrestricted long-term operation), C (short-term operation only) and D (dangerous, stop the machine), so machine condition can be compared across suppliers and industries.

How it works

The diagnosis chain has five links: preprocessing and frequency-domain integration, automatic speed extraction, ISO evaluation, low-order harmonic diagnosis, and bearing and gear characteristic frequency diagnosis.

Preprocessing and frequency-domain integration

The raw acceleration is band-pass filtered from 10 to 1000 Hz to match the ISO evaluation band and suppress low-frequency drift and high-frequency interference. Spectra use an FFT with a Hanning window and amplitude correction. Velocity is obtained by frequency-domain integration — velocity amplitude = acceleration amplitude ÷ (2π × frequency) — which avoids the drift and trends of time-domain integration; unreliable lines below 10 Hz are set to zero.

Automatic speed extraction

Magnitude spectra are calculated frame by frame from 10 to 1000 Hz, significant peaks are searched and refined by three-point parabolic interpolation. A peak must exceed a set multiple of the band average to be accepted. During tracking, the speed may not change by more than ±30 % between frames, preventing jumps caused by occasional interference; frames without a significant periodic peak are treated as stopped, with speed zero.

Low-order harmonic diagnosis: unbalance, misalignment, looseness

The signatures of these three faults lie in the low-order harmonics of running speed. The 1× (running speed), 2× and 3× amplitudes are read from the velocity spectrum and classified:

ConditionConclusionMechanism
2×/1× < 0.5Rotor unbalanceEnergy concentrated at 1×, typical of mass eccentricity
2×/1× > 0.6Shaft misalignmentDistorted coupling forces raise the 2× component
3×/1× > 0.4 (2× not prominent)Looseness or excessive clearanceRich higher harmonics from structural nonlinearity

The rules are applied only when the data is reliable: if the 1× velocity is below 0.5 mm/s, no harmonic diagnosis is made, avoiding misdiagnosis from distorted ratios of weak signals.

Bearing diagnosis

From the bearing geometry — number of rolling elements Z, rolling element diameter d, pitch diameter Dp and contact angle θ — the classical rolling bearing kinematics give four defect frequencies: BPFI (inner race defect), BPFO (outer race defect), BSF (rolling element spin) and FTF (cage).

BPFO = (Z/2) · fr · (1 − (d/Dp) · cos θ) BPFI = (Z/2) · fr · (1 + (d/Dp) · cos θ)

BSF = (Dp / 2d) · fr · (1 − ((d/Dp) · cos θ)²) FTF = (fr/2) · (1 − (d/Dp) · cos θ)

Dp / 2dZ rolling elementsθContact angle θ (side section)Outer raceInner race
Rolling bearing geometry used for the defect frequencies: rolling element diameter d, pitch diameter Dp and contact angle θ. Redrawn schematic.

The amplitude at each characteristic frequency is read from the acceleration spectrum, which is more sensitive to high-frequency bearing impacts, and divided by the local background mean near that frequency to give a signal-to-noise ratio (SNR). Only energy clearly above the background is accepted as a fault signature, which excludes environmental interference and neighboring machines.

SNRSeverityRecommended action
2.0–4.0Early, slightMonitor more closely and shorten the inspection interval
4.0–8.0Moderate, clearPlan maintenance and order spare parts
≥ 8.0SevereStop and inspect as soon as possible to prevent secondary damage

Two sideband checks follow. Inner race faults are usually accompanied by running-speed sidebands (each impact is modulated once per revolution) and rolling element faults by cage-frequency sidebands; when sidebands are detected, the confidence is raised.

Gear diagnosis

The mesh frequency is calculated from the number of teeth Zg (mesh frequency = running frequency × number of teeth), and the energy at the mesh frequency and its sidebands is checked to identify tooth wear, broken teeth and other anomalies.

ISO 10816-3 zone evaluation

RMS velocity in the 10–1000 Hz band is compared with the ISO 10816-3 limits for the machine power and support; eight machine groups are built in.

Machine groupSupportA/BB/CC/D
Large machines (> 300 kW)Rigid2.3 mm/s4.5 mm/s7.1 mm/s
Large machines (> 300 kW)Flexible3.5 mm/s7.1 mm/s11.0 mm/s
Medium machines (15–300 kW)Rigid1.4 mm/s2.8 mm/s4.5 mm/s
Medium machines (15–300 kW)Flexible2.3 mm/s4.5 mm/s7.1 mm/s

Built-in test signal

Test mode synthesizes a signal from the current panel parameters with 1×/2×/3× harmonics, an inner race defect frequency with running-speed sidebands, an outer race defect frequency and light noise: 1× at 0.5 g, 2× at 0.15 g and 3× at 0.05 g simulate unbalance, and inner and outer race components of 0.3 g and 0.25 g simulate bearing faults. The diagnosis table then reports rotor unbalance, inner race fault and outer race fault, using exactly the same rules as for real signals.

Reference standards

StandardTitleApplication in the module
ISO 10816-3 / GB/T 6075.3Mechanical vibration — Evaluation of machine vibration by measurements on non-rotating parts — Part 3RMS velocity limits and zones A/B/C/D
ISO 13373-1Condition monitoring and diagnostics of machines — Vibration condition monitoring — Part 1Measurement points, frequency range and procedure
Classical rolling bearing kinematicsCalculation of rolling bearing defect frequenciesFormulas for BPFI, BPFO, BSF and FTF

Key capabilities

  • Established diagnostic practice in the algorithm: harmonic ratio rules, bearing SNR grading and sideband checks give new staff the same basis as experienced engineers.
  • Automatic speed detection without accessories: no reflective tape or tachometer; a normal vibration record is enough to read and track the speed.
  • Conclusions ready for work orders: each conclusion gives the fault location, severity, confidence and measured characteristic frequency, with Excel export.
  • Complete demonstration without a machine: the built-in test signal runs through the real diagnosis chain for demonstration, training and teaching.
  • One system, several functions: shares acquisition hardware with FFT analysis, shaft orbit, order tracking and acoustic functions of the T8 platform.

Operating workflow

Preparation

  1. Select the channels to analyze (CH1–CH8, several allowed).
  2. Set the analysis band: default 10–1000 Hz, matching the ISO evaluation band; normally no change is needed.
  3. Set the speed source: automatic extraction from the spectrum, or the nameplate value when the speed is known and stable.

Parameters

SettingHowNote
ISO evaluationEnable and select the group by power and support (15–300 kW or > 300 kW, rigid or flexible)A wrong group makes the zone too strict or too lenient
Low-order harmonic diagnosisEnableUnbalance, misalignment and looseness are classified automatically
Bearing parametersEnter Z, d, Dp and contact angle (degrees) from the bearing catalog and enableThe more accurate the parameters, the more precisely the frequencies are placed
Gear parametersEnter the number of teeth Zg and enableOnly needed for gearboxes
AveragingEnable exponential averaging and set the count (8–16 recommended); restart the average to applyRecommended with strong interference

Reading the diagnosis

  1. Zone: the ISO zone at the right of the top table gives the overall condition.
  2. Characteristic frequencies: check the extracted running frequency and the calculated inner race, outer race, rolling element and cage frequencies, to confirm that the bearing parameters are correct.
  3. Conclusions: each line gives fault name, confidence, severity, measured characteristic frequency and SNR, sorted by severity, ready for the work order.

Reading the plots

PlotWhat to look for
Time waveformObvious impacts and periodic spikes
Acceleration spectrumMain view for high-frequency bearing and gear signatures
Velocity spectrumMain view for 1×/2×/3× harmonics and ISO evaluation
Speed trendConfirm a stable speed without jumps; analyze variable-speed operation in segments

Export and demonstration

Export to Excel saves the indicators and conclusions of the current channel for inspection records. Without a machine, enable test mode: demonstration data with unbalance and bearing fault components is synthesized from the current parameters, and the four plots and conclusions appear at once. Example with demonstration data: a speed of 1484.9 rpm is extracted automatically, and the conclusions list rotor unbalance, inner race fault, outer race fault and the ISO zone.

Equipment for this function

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