Meana Petro

Facilities & integrity

Bearing defect frequencies

BPFO, BPFI, BSF and FTF from bearing geometry and shaft speed, with the harmonics and the minimum spectrum Fmax you need to see them.

Inputs

Revolutions per minute.

Hz

For separating electrical faults at 2× line frequency from bearing faults.

Results

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How it is calculated

  • BPFO = (n/2)(1 − (d/D)·cosφ)·f, BPFI = (n/2)(1 + (d/D)·cosφ)·f.
  • BSF = (D/2d)(1 − ((d/D)·cosφ)²)·f and FTF = ½(1 − (d/D)·cosφ)·f, with f the shaft frequency.
  • Frequencies are reported in Hz, CPM and orders of running speed, because the three conventions all appear on the same plant.
  • Fmax is suggested as 3.5 × BPFI, the usual minimum for capturing the diagnostic harmonics.

Standards it speaks

Where this stops being true

The equations assume pure rolling contact with no slip, and real bearings slip by one to two per cent under load — so a spectral peak a couple of per cent off a calculated frequency is a match, not a miss. The catalogue geometry here is generic: two bearings with the same bore number from different manufacturers can have different ball counts, and a wrong ball count moves BPFO by a whole order. Where the fault frequency matters, get the geometry from the manufacturer.

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