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Phase analysis / 8 min read

Phase: The Ruler Most People Never Pick Up

Amplitude says how much, frequency says how often — phase says how the machine is actually moving. A mini explainer plus a live simulator: pick a fault, toggle the measurement direction, and read the phase pattern that separates faults the spectrum cannot.

01

Amplitude says how much. Phase says how.

Every vibration reading answers three questions. Amplitude: how much is it shaking? Frequency: how often? Those two get all the attention, because they arrive free with every spectrum. The third — phase — answers the question the other two cannot: how is the machine actually moving? Are the two ends of the train swinging together or in opposition? Is the coupling being bent or the rotor being flung? Phase is the timing of the vibration against a fixed mark on the shaft, and it turns a list of peak heights into a picture of motion.

It matters because several common faults are near-identical in the spectrum. Unbalance, a bent shaft, misalignment and eccentricity all put their energy at 1× running speed, with varying amounts of 2×. An analyst staring only at amplitudes can tell that something is wrong at 1× — and then guess. Phase is the ruler that measures which one it is, and most people never pick it up.

tacho pulse — once per revolution one revolution = 360° 1× vibration at the bearing phase = 118° lag Our convention throughout: lag behind the tacho pulse, 0–360°. Amplitude is the wave’s height; phase is where it sits in the revolution.
A phase reading is a delay: how far behind the once-per-rev tacho pulse the vibration peak arrives, quoted in degrees of the revolution. This post quotes lag, 0–360°, everywhere.
02

How a phase number is made

You need a reference. A tachometer or laser pointed at a strip of reflective tape — or a keyphasor probe watching a keyway on larger machines — fires once per revolution and defines 0°. The analyser then measures how far behind that pulse the 1× vibration peak arrives at each bearing. Our convention, in this post and in the simulator below: phase is that lag, quoted 0–360°, with every sensor mounted in the same orientation. Be aware that conventions differ between instruments and textbooks — some display lead rather than lag, and integrating acceleration to velocity or displacement shifts the number — so state yours before comparing readings with anyone.

Two practical rules follow. First, the reference cannot move mid-survey: one tape, one tacho position, for every reading you intend to compare. Second, absolute phase at a single point means little — the diagnostic content is in differences between points, taken in the same direction. A sensor mounted upside-down reads 180° away from its right-way-up twin, which has sent more than one analyst chasing a coupling problem that was actually a mounting problem. There is also a two-channel shortcut: measure two points simultaneously on a DAQ that samples its channels together, and the cross-channel phase difference comes out directly, no tacho required — though you lose the fixed 0° anchor.

motor coupling pump B1 B2 B3 B4 tachometer reflective tape = the 0° mark One tacho, four sensors, one orientation. Flip a sensor upside-down and its phase shifts 180° — keep the mounting identical or correct for it before comparing.
One tacho defines 0°; four same-orientation sensors give comparable lags at B1–B4. Change the tape, the tacho position or a sensor's orientation mid-survey and the comparison is broken.
03

Drive the train: pick a fault, read the phase

Below is a motor–coupling–pump train with two bearings per machine: B1 and B2 on the motor, B3 and B4 on the pump, shown side-on and end-on. Pick a fault and the train animates in that fault's characteristic motion, exaggerated so you can see it, while the phase readings at each bearing update for the direction you have selected — horizontal, vertical or axial. The verdict line underneath states what the pattern proves, and just as importantly, when the direction you are looking in proves nothing.

The values are typical teaching values, not measurements — on a real machine expect scatter of ±30° or so, and expect structures and resonances to shade the numbers. What survives the scatter is the pattern: readings that agree, readings that flip by roughly 180°, and readings that refuse to repeat.

Interactive — drag the controls
Fault
Measurement direction
B1 · motor NDE B2 · motor DE B3 · pump DE B4 · pump NDE

Convention: phase = lag behind the once-per-rev tacho pulse on the motor shaft, 0–360°, all sensors oriented the same way. Motion exaggerated for clarity; values are typical, not measured.
Try this: select bent shaft in horizontal — it reads like unbalance — then toggle to axial and watch the 180° end-to-end split appear. Then select looseness and press Step a few times: the refusal to repeat is the finding.
04

Reading the tell-tales

The patterns you just drove are the working vocabulary of phase analysis. Unbalance: all bearings roughly in phase radially along the train, horizontal and vertical about 90° apart at each bearing, axial quiet — the train swings as one because a rotating heavy spot drags everything the same way at the same instant. Parallel misalignment: a roughly 180° flip in the radial phase across the coupling, usually with strong 2×, because the offset shafts lever each machine in opposition. Angular misalignment: the same flip, but in the axial direction, where the bent coupling alternately pushes the machines apart and pulls them together.

Bent shaft: roughly 180° between the two ends of the bent shaft in the axial direction — the ends nod in opposition about the bow — while radially it impersonates unbalance well enough to fool a spectrum. Looseness: no tidy map at all; the phase jumps between surveys, often by 90° or 180°, because a joint is rattling through its clearance rather than following the structure. Notice what made each call: not a number, but a comparison — and in a specific direction. That is why the simulator makes you toggle H, V and A: the direction that reveals a fault is part of its signature.

Unbalance: ends in phase 30° 35° 40° 45° Whole train swings together: all four radial phases within a few tens of degrees. Parallel misalignment: 180° flip 60° 65° 240° 245° flip Each machine is levered the opposite way: ≈180° across the coupling, radial, often with 2×. Same spectrum family, opposite phase maps — this is the split the spectrum alone cannot make.
The two headline patterns side by side: in-phase ends (unbalance) versus the across-the-coupling flip (parallel misalignment). Similar spectra, opposite motion.
05

A representative case

A representative case, not a specific customer: a 2,950 RPM end-suction pump reads high at 1× on both pump bearings, with a modest 2×. The spectrum is compatible with unbalance — and the impeller had recently been off for a wear-ring change, so unbalance is everyone's favourite theory. Balancing gear is booked. Someone measures phase first: horizontal, motor bearings around 60–65°, pump bearings around 240–245°. That is not the unbalance map; in-phase ends would agree within a few tens of degrees. A 180° radial flip across the coupling with 2× present says the shafts are offset — parallel misalignment.

Laser alignment finds the offset, the machine is realigned, and the 1× drops without a single trial weight. The point is not that phase was clever; it is that thirty minutes of phase reading was about to be traded for a day of balancing a rotor that was never unbalanced. The spectrum posed the question. Phase answered it.

06

Honest limits, and where to learn the rest

Phase patterns are indicative, not absolute. Real machines scatter their readings; operating near a resonance can swing phase by tens of degrees on its own; foundations, overhung rotors and combined faults blur the textbook maps; and a convention mix-up — lead versus lag, a flipped sensor, displacement versus acceleration — manufactures a 180° 'finding' out of nothing. A competent diagnosis combines the phase map with the spectrum, the direction the energy lives in, and the machine's history, and treats a pattern as a hypothesis to confirm — by alignment check, by trend, by inspection — not a verdict to act on blind.

If you want the foundations under this post, the free primers at 101.tieraonline.in cover them at beginner pace — Vibration 101 for amplitude, frequency and phase from first principles, and Machinery Fault Diagnosis 101 for the fault patterns driven here. TIERA 101 is a free primer, not an accredited ISO certification. For formal, examined analyst training there is the TCAT programme on our services page, with proctored examinations at exams.tieraonline.in.

The kit for this job

TIERA instruments that do this work.

PhonoVibe Series — Sound & Vibration DAQ

PhonoVibe Series — Sound & Vibration DAQ

Simultaneous sampling on every input keeps channels in step — multiplexed inputs smear inter-channel phase, which is precisely the quantity this post measures — so the two-channel cross-phase shortcut works as described.

Sampling
Simultaneous on every input
ADC resolution
24-bit
Sensor power
24 V, 4 mA (IEPE/ICP/CCLD)
TEDS
Supported
Connectivity
USB, plug-and-play
TVIB — Sound & Vibration Analysis Software

TVIB — Sound & Vibration Analysis Software

Puts phase to work: the TB 210 balancing module accepts a phase reference from a tachometer or laser and guides single- and two-plane correction — the once-per-rev anchor this post's convention is built on.

Base module
TSAP201 — free with PhonoVibe
Balancing (TB 210)
Single- and two-plane, with phase correction
FFT size
Up to 102,400 points
Trial
14-day fully-unlocked evaluation licence
TMFSS — Machinery Fault Signature Simulator

TMFSS — Machinery Fault Signature Simulator

Its built-in tachometer with analog output provides the once-per-rev 0° reference, so you can measure the unbalance, misalignment and looseness phase maps from this post on seeded, repeatable faults.

Tachometer
Built-in, analog output
Speed control
VFD with WiFi software
Faults (Macro)
30+ base kit, extensible with add-on kits
Foundation
Solid rigid base
From TIERA

Phase needs two things: a once-per-rev reference, and channels that stay in step

Every reading in this post assumes hardware that preserves timing. That means a tacho or keyphasor input to anchor 0°, and a DAQ that samples all channels simultaneously — multiplexed inputs smear inter-channel phase, which is precisely the quantity you are trying to measure. Every PhonoVibe DAQ samples its inputs simultaneously at 24-bit with IEPE sensor power, so cross-channel phase survives the acquisition intact. The once-per-rev reference itself comes from the analysis side: TVIB's TB 210 module accepts a phase reference from a tachometer or a laser.

On the software side, TVIB's TSAP201 base module carries the time-and-spectrum work with harmonic cursors and multi-channel views, and the TB 210 module applies phase directly in guided single-plane and two-plane balancing. And if you want the patterns in this post under your fingers rather than in your notes, the TMFSS simulator reproduces unbalance, misalignment and looseness (bent shaft via an add-on kit) on a benchtop with a built-in tacho with analog output — measure the phase maps yourself, then break them on purpose.

  • PhonoVibe D / Q / O / HD — 24-bit USB DAQs with simultaneous sampling on every input, IEPE/ICP/CCLD power and TEDS
  • TVIB TSAP201 + TB 210 — spectrum and cursors, plus phase-corrected single- and two-plane field balancing; 14-day fully-unlocked trial available
  • TMFSS Macro / Mini / Micro — repeatable unbalance, misalignment and looseness with a built-in tacho (analog out); bent-shaft add-on kit
Learn this properly

Where this sits on the TIERA learning ladder.

The theory behind this article is covered free, in full, by the TIERA 101 primers: Machinery Fault Diagnosis 101, Vibration 101. They are self-paced, interactive, and end in an exam and a certificate.

TCAT adds structured, examined analyst training with proctored exams — the free primers cover the concepts; TCAT verifies you can apply them on a real machine.

TIERA 101 is a free introductory primer, not an accredited ISO certification, and its hours do not count towards the formal training ISO 18436 requires.