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Bearing Defect Frequencies

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BPFI, BPFO, BSF and FTF - the four characteristic vibration frequencies that appear in an envelope spectrum for a rolling-element bearing with a defect.

Formula

$$ \text{BPFI} = \tfrac{n f_r}{2}(1 + \tfrac{B_d}{P_d}\cos\alpha), \quad \text{BPFO} = \tfrac{n f_r}{2}(1 - \tfrac{B_d}{P_d}\cos\alpha) $$

Symbol legend

SymbolMeaningUnitSource
$f_r$Shaft frequency (rpm/60)Hzderived
$n$Number of rolling elements-bearing data
$B_d$Rolling-element diametermmbearing data
$P_d$Pitch diametermmbearing data
$α$Contact angle°bearing data

Sources

  • ISO 10816 and ISO 20958.