COOMET Project 507/BY/10. Supplementary COMPARISON OF LENGTH STANDARDS FOR MEASURING GEAR PARAMETERS COOMET.L- S10. Final Report

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1 ЕВРО-АЗИАТСКОЕ СОТРУДНИЧЕСТВО ГОСУДАРСТВЕННЫХ МЕТРОЛОГИЧЕСКИХ УЧРЕЖДЕНИЙ (KOOMET EURO-ASIAN COOPERATION OF NATIONAL METROLOGICAL INSTITUTIONS (COOMET Janary 2012 COOMET Proect 507/BY/10 Spplementary COMPARISON OF LENGTH STANDARDS FOR MEASURING GEAR PARAMETERS COOMET.L- S10 Final Report Pilot laboratory: Belarsian State Institte of Metrology (BelGIM Contact person: Mr. V. Makarevich BelGIM Geometrical qantities measrement section Starovilensky tract 93, Minsk, , Belars, Fax

2 Contents Contents..2 1 Participants 3 2 Organization of comparison Principle of comparison Time-schele of comparison Transfer stanar Measrement procere 4 5 Environmental conitions.4 6 Measrement stanars Measrement stanar of BelGIM Measrement stanar of VNIIMS Measrement conitions for measring the transfer stanar..7 8 Uncertainty of measrement 7 9 Comparison reslts.7 10 Evalation of measrement ata Conclsions....8 Bibliography.. 8 Page 2 of 8

3 1 Participants 1.1 Participants of comparison are escribe in Table 1. Table 1 NMI Aress NMI acronym Belarsian State Institte of Metrology Starovilensky tract 93, Minsk, , Belars Contact person , phone, fax BelGIM Vlaimir Makarevich Tel: Fax: Makarevich@belgim.by All-Rssian Scientific Research Institte of Metrological Service 46 Ozernaya st., Moscow, , Rssia VNIIMS Valery Lysenko Tel: Fax: lysenko@vniims.r 2 Organization of comparison 2.1 Principle of comparison Scheme of comparison: raial Pilot laboratory: BelGIM The aim of comparison is to: - establish the egree of eqivalence between the measrement stanars; - spport the СМСs. 2.2 Time-schele of comparison Time-schele of comparison is escribe in Table 2. Table 2 NMI Measrement time BelGIM September 2010 VNIIMS April 2011 BelGIM September Transfer stanar 3.1 The transfer stanar was a gear involte master No 5 provie by BelGIM. 3.2 This stanar has two base circle raii, i.e. 150 an 60 mm, respectively, an corresponing profiles on the left an on the right (pictre 1. Page 3 of 8

4 Pictre 1 Transfer stanar (gear involte master 4 Measrement procere 4.1 The involte profile was measre from root towars tip of the tooth. The scanning was performe in atomatic moe along the mi-section of the base cyliner over the complete estimation range, with scanning spee of 2 mm/s. The software program GEAR PRO involte was se to etermine three parameters as follows: total profile eviation (F α, profile form evi ation (f fα an profile slope eviation (f Hα. 4.2 Each participant performe 10 measrements for each of two involte profiles with basic circle rais of 150 mm an 60 mm, respectively. 4.3 The measrement reslt for each parameter was calclate as a mean vale from 10 measrements. 5 Environmental conitions 5.1 The environmental conitions are escribe in Table 3. Table 3 Conition Reqirement Ambient temperatre, С 20 ± 0,5 Relative air hmiity, % from 40 to 60 Allowable eviation of ambient temperatre, С/ay 1,0 Allowable eviation of ambient temperatre, С/hor 0,5 Allowable temperatre graient, С/m 3 0,5 Page 4 of 8

6 Measrement stanars 6.1 Measrement stanar of BelGIM 6.1.1 The measrement stanar is shown in pictre 2.

5 6 Measrement stanars 6.1 Measrement stanar of BelGIM The measrement stanar is shown in pictre 2. Pictre 2 BelGIM measrement stanar Composition of the measrement stanar The measrement stanar incles the following: - Carl Zeiss PRISMO ltra coorinate measring machine ( Germany with rot a- tory table; - VAST gol scanning probe: - package of probes se to gage gear parameters; - KMG-CHECK stanars se to check the metrological characteristics of rotary table; - rotary table accessories; - material measres: gear involte master, reference gear wheel; - software: CALIPSO 5.0 intene for all tasks, GEAR PRO 3.4 involte intene for measring spr an helical gears, GEAR PRO 3.4 bevel intene for measring bevel gears, CMM-Check intene for measring KMG-CHECK stanars. Page 5 of 8

6.2 Measrement stanar of VNIIMS 6.2.1 The measrement stanar is shown in pictre 3. Pictre 3 VNIIMS measrement stanar 6.2.2 Composition of the measrement stanar 6.2.2.1 The measrement stanar incles the

6 6.2 Measrement stanar of VNIIMS The measrement stanar is shown in pictre 3. Pictre 3 VNIIMS measrement stanar Composition of the measrement stanar The measrement stanar incles the following: - interferometry measring system for realization an issemination of length for measring form eviation of involte srfaces sing special software; - interferometry measring system for realization an issemination of length for measring slope eviation of involte tooth sing special software; - interferometry measring system for realization an issemination of length for measring kinematic error parameters; - set of material measres: gear involte master, gear with reference tooth slope an reference gear wheel; - axiliary eqipment incling a rotary table with rotation angle sensor. Page 6 of 8

7 7 Measrement conitions for measring the transfer stanar 7.1 Measrement conitions for measring the transfer stan ar are escribe in Table 4. Table 4 Conition Vale Profile Left Right Base circle rais, mm 150,030 60,140 Mole m, mm 15,966 7,111 Profile slope a Helix slope b 0 0 Evalation range, mm 305,383 to 330, ,000 to 144,000 Probe iameter, mm 3,0 3,0 Filter l light 1 0,8 Scanning spee, mm/s Uncertainty of measrement 8.1 State measrement ncertainties for gear invlote measrements are given in Table 5 for BelGIM an VNIIMS, respectively. Table 5 Laboratory Stanar ncertainty, A B Combine stanar ncertainty, c Coverage factor, k Expane ncertainty, U, Level of confience, % BelGIM 0,05 0,50 0,50 2 1,0 95 VNIIMS 0,20 0,15 0,25 2 0, Comparison reslts 9.1 Comparison reslts are given in Table 6. Table 6 Nominal rais of basic circle, mm 60, ,030 Parameter Reslt of measrement by VNIIMS, R 1, Reslt of measrement by BelGIM, R 2, Difference between measrement reslts of VNIIMS an BelGIM ç ç, f fα 1,818 1,669 0,15 f Ha -1,643-1,905 0,26 F α 2,304 2,372 0,07 f fα 0,55 0,472 0,08 f Ha 0,484 0,234 0,25 F α 0,792 0,593 0,20 VNIIMS state measrement ncertainty,, c1 BelGIM state measrement ncertainty, c2, ( U ( 0,25 0,50 0,56 1,12 Page 7 of 8

8 10 Evalation of measrement ata 10.1 The bilateral comparison establishes the egree of eqivalence from the iffe r- ence between the measrement reslts proce by measrement stanars ner comparison an from the associate expane ncertainty with coverage factor k= The egree of eqivalence of the measrement stanars is etermine qant i- tatively sing two qantities as follows (, U ( i.e.: - ifference between measrement reslts, ; - expane ncertainty U ( of this ifference at 95 % confience level: = R 2 - R 1, (1 where R 1 means measrement reslt of VNIIMS; R2 means measrement reslt of BelGIM. U ( = 2( (2 where c1 an c 2 respectively ( = c 1 c2, (3 are state combine stanar ncertainties of VNIIMS an BelGIM, The measrement stanars ner comparison are eqivalent, if the following conition is met 2( or U ( (4 11 Conclsions 11.1 Comparison reslts emonstrate that the actal measrement ncertainties are consistent with the state vales The measrement stanars ner comparison are eqivalent Once have been pblishe, the comparison reslts will spport СМС entries classifie ner LENGTH Gear stanars Spr gear an Gear inv o- lte master. Bibliography [1] ISO :1996 Cylinrical gears. ISO system of accracy. Part 1: Definitions an allowable vales of eviations to corresponing flanks of gear teeth. [2] ISO/IEC Gie 98-3:2008 Uncertainty of Measrement Part 3: Gie to the Expression of Uncertainty in Measrement (GUM:1995. [3] COOMET R/GM/11:2010 Reglations for comparison of measrement stanars from the national metrological instittes of CООМЕТ. Page 8 of 8

The National Unitary Institution "Belarusian State Institute of Metrology" (BelGIM)

ЕВРО-АЗИАТСКОЕ СОТРУДНИЧЕСТВО ГОСУДАРСТВЕННЫХ МЕТРОЛОГИЧЕСКИХ УЧРЕЖДЕНИЙ (KOOMET) EURO-ASIAN COOPERATION OF NATIONAL METROLOGICAL INSTITUTIONS (COOMET) October 2017 The National Unitary Institution "Belarusian