EQUIPMENT SERIES
T8-3X Dynamic Signal Analyzer
Acquire and analyze vibration, shock, sound pressure, dynamic force, pressure and voltage signals for measurement, structural response and modal-test workflows.
T8-3X
APPLICATION NOTE · T8-DSA-503
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.
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.
| Function | Capability | Benefit |
|---|---|---|
| Four linked plots | Time waveform, acceleration spectrum, velocity spectrum and speed trend, refreshed together | One screen shows the waveform, where the energy is and whether the speed is stable |
| Condition table | Peak, mean, RMS, kurtosis, skewness, crest factor, clearance factor, harmonic factor, RMS velocity, ISO zone and more | The machine condition in one table without manual calculation |
| Automatic speed detection | The running frequency is searched in the spectrum and tracked frame by frame, with a speed trend curve | No reflective tape, no tachometer sensor, no wiring or tuning |
| ISO vibration zone | Zones 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 diagnosis | 1×/2×/3× harmonic ratio rules | Names unbalance, misalignment and looseness automatically |
| Bearing diagnosis | Characteristic frequencies from bearing geometry, with signal-to-noise and sideband checks | Early bearing faults flagged, with a basis for maintenance priority |
| Gear diagnosis | Mesh frequency from the number of teeth, with sideband analysis | Gearbox condition managed on the same platform |
| Exponential averaging | Multi-frame spectral averaging to suppress random interference, restartable | Stable conclusions in noisy environments |
| Test signal | Built-in demonstration signal with unbalance and inner and outer race fault components | Training, demonstration and acceptance without a real machine |
| Report export | Diagnosis report in Excel format | For inspection records and work orders |
| Application | Typical objects | Method |
|---|---|---|
| Routine inspection | Fans, pumps, motors, compressors, centrifuges | Acquire a record during the round and get the ISO zone and diagnosis on site |
| Condition-based maintenance | Continuous tracking of critical machines | Compare speed trends and spectral shapes regularly and plan maintenance windows early |
| Acceptance and overhaul verification | New or overhauled machines | Use ISO zones A/B as the acceptance baseline and keep the Excel report |
| Early bearing fault warning | Reducers, gearboxes, drive ends of large motors | Enter the bearing parameters and track the signal-to-noise trend at the characteristic frequencies |
| Diagnosis training and demonstration | Pre-sales demonstrations, in-house training, university teaching | Enable the test signal to demonstrate the complete process on any computer |
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.
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.
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.
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.
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:
| Condition | Conclusion | Mechanism |
|---|---|---|
| 2×/1× < 0.5 | Rotor unbalance | Energy concentrated at 1×, typical of mass eccentricity |
| 2×/1× > 0.6 | Shaft misalignment | Distorted coupling forces raise the 2× component |
| 3×/1× > 0.4 (2× not prominent) | Looseness or excessive clearance | Rich 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.
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)
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.
| SNR | Severity | Recommended action |
|---|---|---|
| 2.0–4.0 | Early, slight | Monitor more closely and shorten the inspection interval |
| 4.0–8.0 | Moderate, clear | Plan maintenance and order spare parts |
| ≥ 8.0 | Severe | Stop 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.
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.
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 group | Support | A/B | B/C | C/D |
|---|---|---|---|---|
| Large machines (> 300 kW) | Rigid | 2.3 mm/s | 4.5 mm/s | 7.1 mm/s |
| Large machines (> 300 kW) | Flexible | 3.5 mm/s | 7.1 mm/s | 11.0 mm/s |
| Medium machines (15–300 kW) | Rigid | 1.4 mm/s | 2.8 mm/s | 4.5 mm/s |
| Medium machines (15–300 kW) | Flexible | 2.3 mm/s | 4.5 mm/s | 7.1 mm/s |
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.
| Standard | Title | Application in the module |
|---|---|---|
| ISO 10816-3 / GB/T 6075.3 | Mechanical vibration — Evaluation of machine vibration by measurements on non-rotating parts — Part 3 | RMS velocity limits and zones A/B/C/D |
| ISO 13373-1 | Condition monitoring and diagnostics of machines — Vibration condition monitoring — Part 1 | Measurement points, frequency range and procedure |
| Classical rolling bearing kinematics | Calculation of rolling bearing defect frequencies | Formulas for BPFI, BPFO, BSF and FTF |
| Setting | How | Note |
|---|---|---|
| ISO evaluation | Enable 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 diagnosis | Enable | Unbalance, misalignment and looseness are classified automatically |
| Bearing parameters | Enter Z, d, Dp and contact angle (degrees) from the bearing catalog and enable | The more accurate the parameters, the more precisely the frequencies are placed |
| Gear parameters | Enter the number of teeth Zg and enable | Only needed for gearboxes |
| Averaging | Enable exponential averaging and set the count (8–16 recommended); restart the average to apply | Recommended with strong interference |
| Plot | What to look for |
|---|---|
| Time waveform | Obvious impacts and periodic spikes |
| Acceleration spectrum | Main view for high-frequency bearing and gear signatures |
| Velocity spectrum | Main view for 1×/2×/3× harmonics and ISO evaluation |
| Speed trend | Confirm a stable speed without jumps; analyze variable-speed operation in segments |
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.
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