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Balancing Machine Sensitivity Calculator

Calculate minimum detectable unbalance (Umin) and achievable balance grade for soft or hard bearing balancing machines per ISO 21940-21 (formerly ISO 2953).

ISO 21940-21UminSoft / Hard Bearing
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Results

Minimum Detectable Unbalance (Umin)
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Residual Specific Unbalance (eper)
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Achievable Balance Grade
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Unbalance Reduction Ratio (URR)
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Service Speed ω
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Minimum Detectable Unbalance

The minimum detectable unbalance (Umin) of a balancing machine depends on sensor sensitivity, electronic noise floor, and display resolution:

Achievable Balance Grade

Where ω is the angular velocity at service speed (not balancing speed).

Practical rule: Umin should be well below the permissible residual unbalance (Uper) — typically no more than about 10% — so that measurement uncertainty does not dominate the result. Balancing machines themselves are described and evaluated per ISO 21940-21 (formerly ISO 2953), which defines the minimum achievable residual unbalance (Umar) and unbalance reduction ratio (URR) tests.

Umin is the smallest unbalance a balancing machine can reliably detect. It depends on sensor sensitivity, noise floor, display resolution, and balancing speed. A lower Umin means better precision.

Soft bearing machines operate above the natural frequency of the suspension system, measuring displacement. Hard bearing machines use stiff supports and measure force. Hard bearing machines are faster to set up; soft bearing machines can offer better sensitivity for light rotors.

For a given Umin, heavier rotors have a better (lower) specific unbalance: e = Umin/m. This means heavier rotors can achieve finer balance grades on the same machine.

Industrial machines typically achieve G1.0 to G2.5. Laboratory-grade machines achieve G0.4 or better. The achievable grade depends on both machine sensitivity and service speed.

Per ISO 21940-21 (formerly ISO 2953): place a known test unbalance on a proving (test) rotor and confirm the machine detects it correctly. Repeat at different angular positions. Results must be within specified tolerances (Umar and URR tests).

The procedures described on this page were developed and field-tested by the Vibromera team using the Balanset-1A, a portable dual-channel balancer and vibration analyzer for on-site rotor balancing.

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