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MEASURING INSTRUMENTS CATALOG No.E2016

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L-18LMitutoyo operates a policy of continuous improvement that aims to provide the customer with the benet of the latest technological advances.Therefore the company reserves the right to change any or all aspects of any product specication without notice.L-18LmmPSm, RSm, WSm = XSii=11Amplitude Parameters (average of ordinates)Arithmetical mean deviation of the primary prole PaArithmetical mean deviation of the roughness prole RaArithmetical mean deviation of the waviness prole WaArithmetic mean of the absolute ordinate values Z(x) within a sampling lengthllPa, Ra, Wa = Z(x) dx01lnPmr (c), Rmr (c), Wmr (c) =Ml(c)Ra75 = Z(x) dxlnln01RzJIS =5Zp1+Zp2+Zp3+Zp4+Zp5 + Zv1+Zv2+Zv3+Zv4+Zv5with l as lp, lr, or lw according to the case.with l as lp, lr, or lw according to the case.Root mean square deviation of the primary prole PqRoot mean square deviation of the roughness prole RqRoot mean square deviation of the waviness prole WqRoot mean square value of the ordinate values Z(x) 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 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 probability density function of the ordinate values.Kurtosis 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 Rku. Pku and Wku are dened in a similar manner. Pku, Rku, and Wku are measures of the sharpness of the probability density function of the ordinate values.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 lengthSampling lengthXs2Xs1Xs3Xs4Xs5Xs6Hybrid ParametersRoot mean square slope of the primary prole PΔqRoot mean square slope of the roughness prole RΔqRoot mean square slope of the waviness prole WΔqRoot mean square value of the ordinate slopes dZ/dX within a sampling lengthdZ (x)dxdZ (x)dxdZ (x)dxdZ (x)dxdZ (x)dxllPq, Rq, Wq = Z2(x)dx01Rq3lrRsk = Z3(x)dx01lr1Rq4lrRku = Z4(x)dx01lr1Curves, Probability Density Function, and Related ParametersMaterial ratio curve of the prole (Abbott-Firestone curve)Curve representing the material ratio of the prole as a function of section level cSampling length020406080100Rmr(c),%Mean LinecMaterial ratio of the primary prole Pmr (c)Material ratio of the roughness prole Rmr (c)Material ratio of the waviness prole Wmr (c)Ratio of the material length of the prole elements Ml (c) at a given level c to the evaluation lengthSection height difference of the primary prole PδcSection height difference of the roughness prole RδcSection height difference of the waviness prole WδcVertical distance between two section levels of a given material ratio0102030405060708090100Rmr0Rmrc1c0RδcRδc = c (Rmr1) – c (Rmr2); Rmr1

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