Balancing services › Two-Plane (Dynamic) Balancing

Two-Plane (Dynamic) Balancing — Method, Physics and Field Procedure

When a rotor is wide enough that unbalance differs at each end, a single correction plane is not enough. Two-plane dynamic balancing corrects both the static and couple components simultaneously — using the influence-coefficient method — so the rotor runs smoothly across its full length, not just at its centre.

Two-plane dynamic balancing of a wide rotor using the influence-coefficient method

In short: Two-plane (dynamic) balancing is required whenever a rotor carries both static unbalance and a couple component — meaning the unbalance is distributed along the shaft axis rather than concentrated at one disc. A vibration sensor at each bearing housing and a laser tachometer on the shaft are used to measure the rotor’s response to trial weights placed in each plane in turn; the Balanset-1A then solves for the exact correction mass and angle in both planes simultaneously. No removal from the machine is needed — the entire four-run procedure is completed at operating speed, in the rotor’s own bearings, in under one hour for most rotors.

Signs your rotor needs two-plane balancing

A single-plane correction can quiet one bearing while the other still shakes. If you see any of these patterns, two-plane treatment is the right answer:

Vibration at both bearing housings Different amplitudes or phases at the two ends of a rotor indicate distributed unbalance that one correction plane cannot fix.
Balance improves one side, worsens the other Adding weight in one plane shifts the shake toward the opposite bearing — the textbook sign of a couple component that demands two-plane work.
Wide or long rotors Drums, wide impellers, driveshafts and multi-stage rotors concentrate mass at multiple axial positions along the shaft.
High-speed rotors with bending At elevated RPM, bending modes separate the unbalance distribution; single-plane correction can actually amplify the problem at the opposite end.
Repeated bearing failure at one end If only one bearing keeps failing despite prior balancing, the correction was likely applied in the wrong plane or was single-plane when two were needed.
Persistent residual vibration after single-plane work A rotor that still shakes after a single-plane run almost always carries a couple unbalance that requires two-plane treatment.

Single-plane vs two-plane: when do you need two planes?

The choice between one and two correction planes depends on the geometry of the rotor and the nature of its unbalance. Understanding the three types of unbalance helps you decide immediately.

The three types of unbalance

Static unbalance — the centre of mass sits off the rotation axis but the principal inertia axis is parallel to it. One correction plane suffices: add mass on the heavy side and the rotor is balanced. Typical rotors: thin pulleys, narrow grinding wheels, single-plane fan discs.

Couple unbalance — the centre of mass is on the axis but the principal inertia axis is tilted. The rotor rocks rather than wobbles. This cannot be corrected in one plane; two equal and opposite masses 180° apart in two separated planes are needed to cancel the rocking moment. Typical rotors: long cylindrical drums, motor armatures, shaft assemblies.

Dynamic (combined) unbalance — the general case: both static and couple components are present. Correction requires two planes chosen arbitrarily along the shaft. All real production rotors fall into this category.

Single-plane vs two-plane balancing: decision guide
FactorSingle-plane (static)Two-plane (dynamic)
Rotor shapeThin disc; axial width much less than diameterWide rotor; axial width comparable to or larger than diameter
Unbalance typeStatic unbalance onlyCouple or combined (dynamic) unbalance
L/D ratio (axial length / diameter)L/D < 0.5 (approx.)L/D ≥ 0.5, or rotor exceeds its first critical speed
Number of sensors1 vibration sensor + 1 laser tacho2 vibration sensors + 1 laser tacho
Number of measurement runs3 runs (baseline + trial + correction)4 runs (baseline + plane-1 trial + plane-2 trial + correction)
Correction planes12
Typical equipmentNarrow fan impellers, pulleys, single-stage discsDrums, driveshafts, wide impellers, multi-stage rotors, motor rotors
Standard referenceISO 21940-11 (1-plane rigid rotor)ISO 21940-11 (2-plane rigid rotor)

Rule of thumb: if the rotor vibration measured at one bearing changes in opposite direction from the vibration at the other bearing when you move a trial weight, you have a couple component and two planes are required.

Why wide rotors lose dynamic balance — and what it costs

When a rotor is manufactured or repaired, mass is rarely distributed symmetrically along its axis. Erosion chews one end of an impeller faster than the other; weld repairs add material at a single axial station; product build-up accumulates non-uniformly along a drum. The result is not just static unbalance but also a couple component that creates a rocking moment. Only simultaneous correction in two planes eliminates both. Because centrifugal force grows with the square of rotational speed, a modest couple unbalance at 500 RPM becomes a destructive force at 3,000 RPM.

Ignoring the couple component means both bearings carry elevated dynamic loads every revolution. Bearing fatigue accumulates, seals fail, fasteners loosen, and structural cracks propagate from the mounting feet outward. The economic loss — bearings, seals, lost production, emergency labour — typically exceeds the cost of a proper two-plane job many times over.

×10bearing life when vibration is halved
−70%typical vibration drop after one session
2planes corrected, one visit
4runs to finish: baseline, P1 trial, P2 trial, verify

Why halving vibration multiplies bearing life

ISO 281 defines rolling-bearing rating life as L10 = (C/P)p, where P is the dynamic load carried by the bearing and the exponent p = 3 for ball bearings and 10/3 for roller bearings. Residual unbalance is that rotating load P, and vibration amplitude tracks it directly — so cutting the vibration in half halves P and multiplies bearing life by 2p: about 8× for ball bearings and ~10× for roller bearings (210/3 ≈ 10). Run your own numbers in our bearing-life calculator.

Two-plane balancing — step-by-step field procedure

The Balanset-1A applies the influence-coefficient method. Two vibration sensors and one laser tacho characterise the rotor fully and solve for both correction planes in a single on-site session:

  1. Mount the sensors. Fix a vibration accelerometer to each bearing housing (Planes 1 and 2) and aim the laser tachometer at a reflective strip on the shaft. No disassembly is needed — the rotor runs under normal operating conditions throughout the procedure.
  2. Measure the baseline. One run at full operating speed records the vibration amplitude and phase angle simultaneously at both bearing locations, giving the starting 1× RPM vectors that define the initial unbalance state in both planes.
  3. Add a trial weight in Plane 1. A known mass is clamped at a marked angular position in the first correction plane. A second run captures how this weight influences vibration at both bearing locations, yielding two of the four influence coefficients.
  4. Move the trial weight to Plane 2. The same mass is repositioned to the second correction plane and another run records the cross-influence on both sensors. The device now has all four influence coefficients needed for the 2×2 system.
  5. Let the device calculate. The Balanset-1A solves the two-plane influence-coefficient equations and outputs the exact correction mass and angular position for each plane simultaneously — no manual arithmetic required.
  6. Fit corrections and verify. Correction weights are placed at the calculated positions on both planes. A final run confirms residual unbalance is within the ISO 21940-11 tolerance for the specified G-grade, and the Balanset-1A saves a documented balancing report.

What we balance in two planes

  • Wide centrifugal fan impellers and double-inlet blowers
  • Combine-harvester threshing and chopping drums
  • Driveshafts and cardan shafts
  • Multi-stage pump rotors and compressor impeller stacks
  • Paper-machine rolls and printing / coating cylinders
  • Screw conveyors and augers longer than ~500 mm
  • Motor rotors and generator rotors with significant axial length
  • Turbocharger rotors and steam-turbine rotors (field vibration verification)
  • Any rotor where single-plane correction leaves one bearing still shaking

Tolerances & standards

ISO 21940-11 (formerly ISO 1940-1) defines balance quality grades G0.4 through G4000 for rigid rotors. Two-plane balancing is the required method whenever the rotor axial-length-to-diameter ratio exceeds roughly 0.5, or when the rotor operates above its first critical speed. The permissible residual unbalance per plane is calculated as:

Uper (g·mm) = eper × m / 2, where eper = G × 9549 / n (mm/s × rpm → μm eccentricity), m is the rotor mass in kg, and the factor 2 distributes the tolerance between the two planes.

Fan rotors are commonly balanced to G6.3 or G2.5 per ISO 14694; precision machine-tool spindles and high-speed turbo equipment target G1.0 or finer. Use our residual-unbalance calculator to find the permissible tolerance for your G-grade, rotor mass and service speed before starting the job.

The Balanset-1A — your complete field-balancing kit

Two-plane dynamic balancing of any rigid rotor — fans, drums, driveshafts, multi-stage pump assemblies — is done with one portable instrument: the Балансет-1А. It is a two-channel dynamic balancer and vibration analyzer that balances rotors in their own bearings, at operating speed, using the influence-coefficient method — one plane in three runs, two planes in four. The software calculates the exact correction mass and angle for both planes and saves a report.

Complete Balanset-1A balancing kit with sensors, laser tachometer, scale and case

What’s in the Full Kit

€1,975 · Full Kit, in stock, VAT invoice

  • Interface measurement unit (USB, 2 channels)
  • Two vibration accelerometers (4 m cable, 10 m optional)
  • Laser tachometer / optical phase sensor (50–500 mm)
  • Magnetic stand for the sensor
  • Digital scale for trial & correction weights
  • Windows balancing & analysis software
  • Plastic transport case
Recommended

Full Kit

Unit · 2 sensors · laser tachometer · magnetic stand · digital scale · software · transport case. Everything needed to start two-plane balancing out of the box.

OEM

OEM set

Unit · 2 sensors · laser tachometer · software. For integrators who already have a stand, scale and case, or who embed the unit into a dedicated balancing machine.

Key technical specifications
ParameterValue
Measurement channels2 (single- & two-plane balancing)
Vibration velocity range0.05–100 mm/s
Frequency range5–300 Hz
Measurement accuracy±5% of full scale
Method3-run influence-coefficient (1 or 2 planes)
AnalysisAmplitude & phase at 1×, FFT spectrum & waveform, saved reports
LaptopNot included (Windows PC, available on request)
In stock DHL Portugal €35 DHL worldwide €110 2-year warranty VAT invoice Engineer support

Two-plane balancing — from the field

Two-plane influence-coefficient measurement setup with the Balanset-1A showing both sensor positions

Influence-coefficient setup

Two sensors and one laser tacho positioned to characterise both correction planes simultaneously.

Wide rotor balanced in its own bearings on site without removal

Balanced in place

The rotor stays in its own bearings and is corrected at operating speed — no removal required.

Balanset-1A software screen showing two-plane correction mass and angle results

Both planes solved

Correction mass and angle computed for Plane 1 and Plane 2 simultaneously in one session.

Balanset-1A residual unbalance verification report after two-plane balancing

Verified result

The final run confirms residual unbalance within the ISO 21940-11 tolerance at both planes.

Two-plane balancing FAQ

When is single-plane balancing enough?
Single-plane correction is sufficient for thin, disc-like rotors — narrow impellers, pulleys or grinding wheels — where the axial mass distribution is essentially uniform and the L/D ratio is below about 0.5. As soon as the rotor is wide relative to its diameter, or as soon as a single-plane run improves one bearing while worsening the other, two-plane balancing is required to address the couple component.
How does the influence-coefficient method work for two planes?
The device attaches sensors at both bearing positions and measures the vibration vector (amplitude + phase) produced by each trial weight placement in turn. With two planes and two sensors you obtain four influence coefficients — two direct (same-plane) and two cross-plane. The Balanset-1A then solves a 2×2 linear system to find the correction masses that simultaneously drive both vibration vectors to zero, or to within the specified ISO tolerance.
How many measurement runs does a two-plane job require?
Typically four: one baseline run, one run with the trial weight in Plane 1, one run with it in Plane 2, and one final verification run after the correction weights are fitted. If the first correction is very close to perfect the job is done in four runs. Complex rotors or imprecise trial-weight placement may need a second correction iteration, but this is uncommon when the procedure is followed correctly with the Balanset-1A.
Do I need to remove the rotor from the machine?
No. The influence-coefficient method works in the rotor’s own bearings at operating speed. The Balanset-1A is a portable field instrument — no balancing machine is required. Removal is only necessary if the rotor cannot safely be run in place with trial weights attached, or if other maintenance work makes disassembly unavoidable.
What balance quality grade should I target for my rotor?
ISO 21940-11 grade G6.3 covers most general industrial rotors; fans and blowers are commonly balanced to G6.3 or G2.5 per ISO 14694. High-speed spindles and precision turbo equipment target G1.0 or finer. Our residual-unbalance calculator converts any G-grade and rotor mass into a permissible residual unbalance in gram·millimetres, split across both planes.
Can our maintenance team do two-plane balancing with the Balanset-1A?
Yes. The Balanset-1A is designed for maintenance teams to operate without specialist training. Its step-by-step software guides you through each measurement run, applies the influence-coefficient algorithm automatically, and outputs the correction mass and angle for each plane in plain numbers. Our community forum is available if you encounter an unusual rotor geometry or want to confirm your approach before starting.

Solve both planes in one visit — at operating speed, no removal

The Balanset-1A guides you through the full two-plane influence-coefficient procedure: baseline, Plane 1 trial, Plane 2 trial, correction and verification — all at running speed, in the rotor’s own bearings. Documented residual unbalance to ISO 21940-11, ISO 14694 and API 610. Ready to ship.

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