Form measurement systems from Hommel-Etamic Geometrical tolerancing in practice DKD-K Precision is our business.

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1 Form measuremen sysems from Hommel-Eamic Geomerical olerancing in pracice DKD-K Precision is our business.

2 Drawing enries Tolerance frame Daum leer Tolerance value in mm Symbol for he oleranced characerisic Indicaing arrow Toleranced elemen Toleranced elemens Indicaing arrow o conour line or subsidiary line (offse from dimension line): if he olerance refers o he line or area. Indicaing arrow as an exension of he dimension line: if he olerance applies for he axis or median plane or a poin of he elemen. Daums Daum riangle wih daum leers on he conour line of he elemen or on he subsidiary line: if he displayed daum is a line or area. as an exension of he dimension line: if he daum is he axis, he median plane or an appropriaely dimensioned poin. Resricion of he daum o an area of he elemen as a do-dash line wih dimensioning. filled in or empy daum riangle has he same meaning. 2

3 Form olerances according o ISO 1101 Sraighness The olerance zone is limied by wo parallel lines a a disance apar. Every envelope line of he oleranced cylinder mus be beween hese wo parallel lines. Every envelope line of he oleranced cylinder surface mus be beween wo parallel lines a a disance apar of. Roundness The olerance zone is limied by wo concenric circles a a disance apar. The circumference line of he oleranced cylinder mus be wihin a circle ring of he zone widh, in every radial secion plane. The circumference line of he oleranced cylinder mus be wihin a circle ring of he zone widh in every radial secion plane. Flaness 0.2 The olerance zone is limied by wo parallel planes a a disance apar, he dimensions of which correspond o hose of he oleranced area. The real workpiece area mus be beween he wo parallel planes a disance apar. 0.2 The real workpiece area mus be beween wo parallel planes a a disance apar of Cylindriciy The olerance zone for he cylinder envelope area limis he deviaion of he roundness, he sraighness of he envelope line and he parallelism of he envelope line o he cylinder axis. I is formed by wo coaxial cylinders wih he radial disance. The oleranced cylindrical area mus be beween wo coaxial cylinders wih a radial disance of. 3

4 Posiion olerances according o ISO 1101 Parallelism The olerance zone wihin which he envelope lines of he oleranced cylinder mus lie is limied by wo parallel lines a a disance apar which run parallel o he daum plane. Every single envelope line of he oleranced area mus be beween wo parallel lines ha are a a disance of apar, and are parallel o he cener axis. Perpendiculariy The olerance zone is limied by wo parallel planes a a disance apar, which are perpen-dicular o he daum axis. The oleranced plane face mus be beween hese wo planes. ll poins/circle lines of he oleranced area mus be beween wo parallel planes ha are a a disance of apar, and are perpendicular o he daum plane. ngulariy 20 The olerance zone is limied by wo parallel 20 planes a a disance 20 apar a he nominal angle o he daum axis. 20 ll poins of he oleranced area mus be beween wo parallel planes ha are a a disance apar of, and are angled a 20º o he daum axis. Coaxialiy The olerance zone is limied by a cylinder of diameer, he axis of which maches he daum axis. The acual axis of he oleranced elemen mus be wihin he olerance zone. The axis of he oleranced cylinder mus be wihin a cylinder ha has a diameer of and is coaxial o he daum axis. 4

5 Run-ou olerances according o ISO 1101 Radial run-ou In every radial secion plane perpendicular o he surface, he olerance zone is limied by wo concenric circles a a disance apar, he common cener poin of which is on he daum axis. The radial runou olerance applies generally for a full revoluion of he oleranced elemen around he daum axis. The circumference line of every radial secion plane of he oleranced cylindrical area mus be beween wo concenric circles a a disance apar of wih heir common cener poin on he daum axis. xial run-ou The olerance zone is limied in every radial disance of wo circles a a disance apar. The circles are in a cylinder, he axis of which maches he daum axis. The diameer of he cylinder can adop any value of he diameer of he plane face. Every circle line of he oleranced area mus be beween wo parallel circle planes a a disance apar of wih heir common cener poin on he daum axis. Toal radial run-ou The olerance zone is limied by wo coaxial cylinders a a disance apar, he axes of which mach he daum axis. fer several roaions around he daum axis and axial shif of he ransducer all poins of he oleranced elemen mus be wihin he olerance zone. The oleranced cylindrical area mus be beween wo coaxial cylinders wih a radial disance apar of wih heir common axis on he daum axis. Toal axial run-ou The olerance zone is limied by wo parallel planes a a disance apar, which are perpendicular o he daum (roaional) axis. fer several roaions around he daum axis and radial shif of he ransducer, all poins of he surface of he olerance plane face mus be wihin he olerance zone. The oleranced area mus be beween wo parallel circle planes a a disance apar of wih heir common cener poin on he daum axis. 5

6 Our global presence. Our service range Merology Tacile merology Pneumaic merology Opical merology Produc range Roughness measuremen Conour measuremen Form measuremen Opical shaf measuremen Dimensional measuremen Opical surface inspecion Inspecion process In-process Pos-process PLC Final inspecion Measuring room Service Sysem soluions DKD calibraion service Consuling, raining and service 05/2011 r-nr

7 Evaluaion mehod Evaluaion mehod Effec and funcion of differen evaluaion mehods on he roundness evaluaion MZCI Minimum Zone Circle Concenric inner and ouer perimeer circles wih a minimum radial disance, and which enclose he roundness profile. Individual profile peaks influence he cener poin considerably. Gives he leas possible form error. LSCI Leas Square Circle Circle hrough he roundness profile wih minimum sum of profile deviaion squares. Individual profile peaks influence he cener poin only a lile. Very suiable for sable daum formaion. MICI Maximum Inscribed Circle Maximum circle inscribed in he roundness profile for inside areas. The mehod is used for form measuremen of he inside diameer. MCCI Minimum Circumscribed Circle Minimum circle circumscribing he roundness profile for ouside areas. The mehod is used for form measuremen of he ouside diameer. 7

8 Filering mehod Filering mehod Definiion according o ISO for roughness and form measuremen. Filer characerisic: mpliude damping a cu-off λc: 50 % Gaussian ampliude ransmission funcion Number of poins per wave leas 7 poins per wave mus be seleced. Roundness measuremen: Recommended cu-off numbers: Conversion of w/r o wavelengh: Specificaion of cu-off in w/r (waves/revoluion). The specificaion is independen of he workpiece diameer. 15, 50, 150, 500 w/r λc = D x 3.14 / number of cu-offs Sraighness measuremen: Recommended cu-offs: Specificaion of cu-off in mm 0.25; 0.8; 2.5; 8.0 mm Recommended filer seings for roundness measuremen Workpiece Ø Number of Measuring poins (mm) cu-offs (s/r) per circumference Form only > 105 > > 350 > > 1050 > > > 350 Form and > > 1050 waviness > > 3500 > > Waviness only > 1050 > > 3500 > > 3500 > >

9 Filer sages Filer sages Filer effec of differen cu-off numbers on he roundness resul. Gauss filer 50 % No filer 1.49 µm RON (MZCI) = 1.49 µm Filer 150 W/R 1.04 µm RON (MZCI) = 1.04 µm Filer 50 W/R 0.91 µm RON (MZCI) = 0.91 µm Filer 15 W/R 0.71 µm RON (MZCI) = 0.71 µm 9

10 General informaion Tolerances of form, orienaion, locaion and run-ou according o ISO 1101 Using he sandardized olerance specificaions, olerance zones are deermined wihin which he oleranced elemens (line, area, poin, axis, median plane) of he workpiece mus lie. Form olerance refers o he olerance zone ha limis he deviaion of a form elemen from is ideal geomery (sraighness, flaness, roundness, cylindriciy) and is orienaed exclusively o he oleranced elemen. Only he olerances for profile any line and profile any surface require heoreically exac dimension specificaions and daums. orienaion olerance refers o a olerance zone wih which he deviaion from he general direcion (parallelism, perpendiculariy, angulariy) beween he oleranced elemen and he daum and form deviaion of he oleranced elemen is limied. Locaion olerance refers o he olerance zone which limis he deviaion of he oleranced elemen (posiion, coaxialiy, concenriciy, symmery) from is ideal geomerical locaion, which mus be defined clearly by a daum or a sysem of daums. run-ou olerance refers o a olerance zone which limis he form and posiion deviaions of envelope areas or plane faces in relaion o he roaional axis. General olerances according o ISO 2768 par 2 For workpieces produced by cuing ll dimensions in mm Tolerance class H Nominal > 10 > 30 > 100 > 300 > 1000 dimension range Tolerance class K Nominal > 10 > 30 > 100 > 300 > 1000 dimension range Tolerance class L Nominal > 10 > 30 > 100 > 300 > 1000 dimension range Tolerance value corresponds o he diameer olerance or maximum general olerance for he radial run-ou. Tolerance value corresponds o he maximum value in comparison of he dimension olerance of he disance dimension wih he general olerance for he sraighness or he flaness of he form elemens being inspeced. 10

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