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Single-Plane Balancing Calculator

Applies the influence coefficient method used in field balancing. Enter the initial reading (O), trial weight (T) and trial run (O+T); the calculator returns the required correction weight, its angle and the weights split onto fixed positions.

Initial run (O)
Trial weight (T)
Trial run (O+T)
Trial weight suggestion

Suggested trial weight: —

Correction weight —g at —°
  • Initial
  • Trial run
  • Trial effect
  • Correction
Trial effect
—
Influence coefficient
—

These tools are intended for preliminary assessment and training. Decisions on critical equipment should be based on on-site measurement and expert evaluation.

How to use

  1. Run the machine at operating speed and measure the 1X amplitude and phase (O).

  2. Stop the machine and attach a trial weight of known mass at a known angle from the reference mark.

  3. Measure again at the same speed (O+T).

  4. Enter the values; make sure the angles use the same convention as the phase readings (e.g. against rotation).

  5. Apply the calculated correction weight and take a verification reading.

Theory & formulas

Vibration vectors are treated as complex numbers: O = A₀∠φ₀, (O+T) = A₁∠φ₁. The effect of the trial weight alone is T = (O+T) − O.

The influence coefficient α = T / Wt gives the vibration produced per unit weight. The correction that cancels the initial vibration is Wc = −O / α.

If the trial weight stays in place, the weight to add is the vector Wc − Wt.

The suggested trial weight produces a centrifugal force of about 10% of the rotor weight: mt = 0.1·M·g / (r·ω²).

Frequently asked questions

Which angle direction should I use for single-plane balancing?

The trial weight angle and phase readings must follow the same convention. A common field convention measures angles from the reference mark against the direction of rotation. The calculated correction angle is applied using that same convention.

How large should the trial weight be?

Large enough to produce a clear change in amplitude or phase (typically 20–30% amplitude or 20–30° phase) but small enough not to endanger the machine. The calculator suggests the mass that creates a force of about 10% of the rotor weight.