KEVOS® MAKEOS · Mechanics

Two-Plane (Dynamic) Balance Corrections

What correction masses in two planes give this rotor a running (dynamic) balance?

Correction masses and angles in two chosen correction planes that balance up to three masses lying in different planes along a rotor, by taking moments about one correction plane.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Distance between correction planes A and BmmAxial distance between the two correction planes.
Masses (axial position measured from plane A)
Mass 1gFirst unbalanced mass.
Radius 1mmIts radius.
Angle 1°Its angle.
Axial position 1mmIts axial distance from plane A (negative if outside, beyond A).
Mass 2gSecond mass.
Radius 2mmIts radius.
Angle 2°Its angle.
Axial position 2mmIts axial position.
Mass 3gThird mass (0 if unused).
Radius 3mmIts radius.
Angle 3°Its angle.
Axial position 3mmIts axial position.
Correction radii
Correction radius in plane AmmRadius for the correction mass in plane A.
Correction radius in plane BmmRadius for the correction mass in plane B.

Method and formulas

  1. Moments about plane A: U_B = −Σ (mᵢ rᵢ ∠θᵢ) zᵢ ÷ L.
  2. Forces: U_A = −Σ (mᵢ rᵢ ∠θᵢ) − U_B.
  3. Correction mass = |U| ÷ correction radius in each plane.
  4. Example: corrections of 27.042 g in plane A and 19.526 g in plane B.

Limitations

  • Rigid rotor below its first critical speed.
  • Measured unbalance from a balancing machine is more reliable than calculated item masses.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Work out corrections for a long rotor or roll
  • Balance a fixture with offset masses at different heights
  • Check bearing loads from couple unbalance

Who it is for

  • Maintenance engineers
  • Machine designers
  • Balancing technicians

What you get

  • Correction mass and angle in plane A
  • Correction mass and angle in plane B
  • Static and couple unbalance

Interpreting the result

  • If the correction in one plane is tiny, a single-plane correction may be enough.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 191–195. Topic reference; no source tables or recommended settings are reproduced.

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Open the Two-Plane (Dynamic) Balance Corrections calculator