Quick Guide to Precision Measuring Instruments

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PG55Quick Guide to MeasurementQuick Guide to MeasurementdZ (x)dxdZ (x)dxdZ (x)dxdZ (x)dxdZ (x)dxRsk = Z3(x)dx 0Ir∫ 1Rq31IrRku = Z4(x)dx 0Ir∫ 1Rq41IrSymbolUsed profileRzJIS82Surface profile as measuredRzJIS94Roughness profile derived from the primary profile using a phase-correct high-pass filterZp3Zp2Zp4Zp5Zp1Sampling lengthZv3Zv1Zv2Zv5Zv4Ra75 = |Z(x)|dx 0ln∫ 1lnRzJIS = (Zp1 + Zp2 + Zp3 + Zp4 + Zp5) + (Zv1 + Zv2 + Zv3 + Zv4 + Zv5)5Sampling lengthXs2Xs1Xs3Xs4Xs5Xs6PSm, RSm, WSm = XSi i = 1m∑ 1mSpacing ParametersMean width of the primary prole elements PSmMean width of the roughness prole elements RSmMean width of the waviness prole elements WSmMean value of the prole element widths Xs within a sampling lengthSkewness of the primary prole PskSkewness of the roughness prole RskSkewness of the waviness prole WskQuotient of the mean cube value of the ordinate values Z(x) and the cube of Pq, Rq, or Wq respectively, within a sampling lengthKurtosis of the primary prole PkuKurtosis of the roughness prole RkuKurtosis of the waviness prole WkuQuotient of the mean quartic value of the ordinate values Z(x) and the fourth power of Pq, Rq, or Wq respectively, within a sampling lengthThe above equation denes Rsk. Psk and Wsk are dened in a similar manner. Psk, Rsk, and Wsk are measures of the asymmetry of the prob-ability density function of the ordinate values.The above equation denes Rku. Pku and Wku are dened in a similar manner. Pku, Rku, and Wku are measures of the sharpness of the prob-ability density function of the ordinate values.JIS Specic ParametersTen-point height of irregularities, RzJISSum of the absolute mean height of the ve highest prole peaks and the absolute mean depth of the ve deepest prole valleys, measured from the mean line within the sampling length of a roughness prole. This prole is obtained from the primary prole using a phase-correct band-pass lter with cutoff values of lc and ls.Arithmetic mean deviation of the prole Ra75Arithmetic mean of the absolute values of the prole deviations from the mean line within the sampling length of the roughness prole (75%). This prole is obtained from a measurement prole using an analog high-pass lter with an attenuation factor of 12db/octave and a cutoff value ofλc.Spacing ParametersMean width of the primary prole elements PSmMean width of the roughness prole elements RSmMean width of the waviness prole elements WSmMean value of the prole element widths Xs within a sampling length

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