1 2 4 1 2 4 5 6 7 8 9 10 —? —? —? —? —? — — ISO 14253 —? —? —
GEOMETRICAL PRODUCT SPECIFICATIONSINSPECTION BY MEASUREMENT OF WORKPIECESAND MEASURING EQUIPMENT
Part 2. Guide to the estimation of uncertaintyin geometrical product specifications measurement,in calibration of measuring equipment and in product verification
1 —? —? —? 2 ISO 1:1975 Standard reference temperature for industrial length measurements
ISO 3650:1998 Geometrical Product Specifications (GPS) — Length standards — Gaude blocks
ISO 4288:1996 Geometrical Product Specifications (GPS) — Surface texture: Profile method — Rules and procedures for the assessment of surface texture
ISO 9001:1994 Quality systems — Model for quality systems in design, development, production, installation and servicing
ISO 9004-1:1994 Quality management and quality system elements — Part 1: Guidelines
ISO 14253-1:1998 Geometrical Product Specification (GPS) — Inspection by measurement of workpieces and measuring instruments — Part 1: Decision rules for proving conformance or nonconformance with specifications
ISO 14253-3 1 ’ Geometrical Product Specification (GPS) — Inspection by measurement of workpieces and measuring instruments — Part 3: Procedures for evaluating the integrity of uncertainty of measurement values
ISO 14660-1:1999 Geometrical Product Specification (GPS) — Geometric features — Part 1: General terms and definitions
Guide to the expression of uncertainty in measurement (GUM). BIPM, tEC, IFCC, ISO, IUPAC, IUPAP, OIML, 1st edition, 1995
International Vocabulary of Basic and General Terms in Metrology (VIM). BIPM, IEC, IFCC, ISO, IUPAC, IUPAP, OIML, 2nd edition, 1993.
ISO 1:1975 ISO 3650:1998 ISO 4288:1996 ISO 9001:1994 ISO 9004-1:1994 11
ISO 14253-1:1998 ISO 14253-3 ISO 14660-1:1999 З? 3.1 3.2 3.3 3.4 а?) Ь?) 3.5 а?) Ь?) 3.6 3.7
3.8 3.9 3.10 3.11 3.12 3.13 3.14 3.15 3.16 3.17 3.18 4 5 — — —? —? —? —? —? —? —? —? U = а?) Ь?) а?) Ь?) 6 6.1 6.2 а?) Ь?) 1) 2) с?) d)
е?) f) 1) 2) 6.3 а?) Ь?) с?) d) 1) 2) 3) е?) f)
g) h) 1) 2) і?) j) к?) І? ) 7 7.1 —? —? —? —? ER = MR-TV, (4)
MR — TV — 1 — 2 — З? — 4 — 5 — 6 —
7.5
— — — — — 7.6 —? —? —? —? —? 7.7 — — — — — —
7.8 —? —? —? —? —? —? —? —? —? — — — — — — — — 7.9 — — — — 7.10 — — — — — — — — — — —? —? —? —? —? —? —? —? —? —? —? —? 7.11 — 8 8.1 8.2 8.2.1 8.2.2 —? —? S = 4 1 ’
— u xx =s XJ ,-h. (5)
21 8.3 8.3.1 8.3.2 Uxx = —? —? —? U - U - V2
8.4 8.4.1 8.4.2 8.4.3 8.4.4 £? • 8.4.5
8.4.6 C = -ER. (10)
8.4.7 8.4.8 8.4.8.1 AL=AT-a-L, (12)
a — L — 8.4.8.2
8.4.8.3 8.4.9 8.4.10 —? U
(13)
—? U v
(14)
8.4.11 8.4.12 8.5 8.6 (16)
V u r = Y u " (17)
8.7 / < 20 >
8.8 U-u z -k = 8.9 9 9.1 9.2 —? - — —? —? —? —? —? —?
1 — 2 — "
9.3 9.3.1 9.3.2 —? —? —? —? 9.3.3 9.3.4 9.3.5 9.3.6 —? —? —? —? 9.3.7 9.3.8 9.3.9 9.3.10 10 10.1 U c = yJlJMPEx + ... + 1/ .U=u c k (
10.2 10.3 10.3.1 10.3.2 10.3.3 10.3.4 10.3.5 10.3.6 10.4 10.4.1 10.4.2 10.4.3 Ut>U C = yjuEUTx +... + 1/ 10.4.4
10.5 10.5.1 10.5.2 10.6 10.7 —? —? —? —? —? —? —? —? —? —
Ura = 7= = — 7=- = 0,029 2->/3 2->/3 Ure U 0,8 Urs= — = = 0,8 Upa Urr — Uj D — 1,1 100 " 100 Uro — Uro U c = >Jurs + Uec + t/PA + Urr + Uto + u a = J(0,40 2 +0,36 2 + 0 2 +0,12 2 +0,77 2 +0,08 2 +0 2 ) U = U z ■? k = 0,95 A.6.4
U EN В?.1 —? —? —? —? III II Ut > U w = f (MPEml, MPE mf , MPE mp , —? —? —? В?.2 В?.2.1 В?.2.1.1 В?.2.1.2 В?.2.2 В?.2.2.1 В?.2.2.2 В?.2.2.3 — — —
Uftf s 2 Urf MPErf
L/rl = 2 i/rl mpe rl
1 2 З? 4 5 6 7 8 9 1 2 З? 4 5 6 7 8 9 1/wF “ 2 MPEwF
5 6
8 9
7
8
Uw 18 2 Utf MPEsf
1/wL “ 2 Uwl MPE wl
1/ Uml = 2 1/ MPE ul
Uyn = 2
I/mf-2 MPE mf
7 W ( 1 2 З? 4 5 6 7 8 9 1 2 4 5 6 7 8 1 2 4 5 6 7 8
—? —? —? —? —? —? —? В?.2.3
В?.2.4 Ura = 2--/3 2-V3 Wre В?.2.5 В?.2.5.1 u UL — u ML = 3 u MF — MPEmf i/mf=1 u №?P — Ump=2 i/ RR — u RR = 1,2 Uup — u NP = 1 . 1,1 a T D = 100 l/ td = 2,8 _ . 1,1 100 t/we — Ct we = Uwe = 1,8 В?.2.5.2 В?.2.5.3 Uc = V Umi + Umf + Umf + Ump + Urr + Unp + Uto + Uta + Uwe •
u c = J' ( 1 ,8 2 + u c = 3,79 mkm, U = u c • k = 3,79 mkm • 2 = 7,58 mkm. B.2.5.4 < В?.2.5.5 —? —? В?.2.5.6 —?
—? В?.З? В?.3.1 В?.3.2 В?.3.2.1 В?.3.2.2 В?.З?.2.3 В?.3.3 В?.3.3.1 В?.3.3.2 В?.3.3.3 —? —? В?.3.3.4 —? —? —? —? В?.3.4
2-V3 2-V3 В?.З?.6 В?.3.6.1 Usl — a SL = 0,6 u SL = 0,6 • 0,6 u RR — u RR = 0,29 u-m — a T D = AT-a-D = 1 100 u TD = 0,28 _ . _ 1,1 100 В?.3.6.2 В?.3.6.3 Uc~ V Usl + Urr + Utd + Uta = 0,5 Uc = V Usl + Urr + Utd + Uta = 0,5 В?.3.6.4 MPE SL В?.3.6.5 MPE M l-2 L/ = 6 В?.3.6.6 В?.3.7 В?.4 В?.4.1 В?.4.1.1 В?.4.1.2 В?.4.2 В?.4.2.1 В?.4.2.2 В?.4.2.3 —? —? —? В?.4.2.4 —? —? В?.4.3
В?.4.4 В?.4.5 В?.4.5.1 u Sf — a SF = 0,05 u SF = 0,05 u RR — d = 0,5 •
d 2 2
В?.4.5.2 В?.4.5.3 Uc = Usf + 1/rr-
Uc = J(0,03 2 + 0.05 2 ) U= 0,06 В?.4.5.5 В?.4.5.6 MPE mf -(J = 1,00 В?.4.6 В?.5 В?.5.1 В?.5.1.1 В?.5.1.2 В?.5.2 В?.5.2.1 В?.5.2.2 —? —? В?.5.2.3 —? —? —? —? В?.5.2.4 —? —? В?.5.3
В?.5.4 а?) Ь?) с?) В?.5.5 В?.5.5.1 a SP = 0,1 u SP = 0,1 u RR — d 0,3 2 2
В?.5.5.2 В?.5.5.3 Ua = V Usp + Uc = (0.06 2 + 0,09 2 +0,09 2 ) U = 0,14 В?.5.5.4 В?.5.5.5 В?.5.5.6 MPEmp -U = 2,00 В?.5.6 В?.6 В?.6.1 В?.6.2 —? —? В?.6.3
—? —? В?.7
LSC — —? —? —? —? —? —? —? —? —? * "
Uic — Uic = 0,05 i/i R —
i/ ls — MPEis = 0,1 Uis = 0,125 u tM = 0,16 uCeu AL — C.S.2 C.S.3 u c = V(0,013 2 + 0,035 2 + 0,017 2 + 0,063 2 + 0,096 2 + 0 2 4-0 2 ) mkm 2 =0,122 U = u z -
D.1 D.2
D.3 1 1SO/TR 14638:1995 Geometrical Product Specifications (GPS) — Masterplan
2 WECC 19:1990 Guidelines for the Expression of the Uncertainty of Measurement in Calibrations, published by the Western European Calibration Corporation—WECC.
1 ISO/TR 14638:1995 2 WECC 19:1990
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