Передачі зубчасті циліндричні. Правила приймання. Частина 5. Рекомендації щодо оцінювання інструментів для вимірювання зубчастих передач

1 2 4 1 2 З? 4 4.1 4.1.1 4.1.2 4.1.3 4.2 4.2.1 4.2.2 4.2.3 5 5.1 5.1.1 5.1.2 5.2 5.2.1 5.2.2 5.2.3 5.3 5.3.1 5.3.2 5.4 5.4.1 5.4.2 5.4.3 5.5 6 6.1 6.2 6.2.1 6.2.2 6 2 4 6 2 5 6 3 6 4 і? 6 4 1 6 4 2 6 4 3 6 4 4 6 4 5 6 4 6 6 4 7 6 5 6 5 1 6 5 2 6 6 7 7 1 7 1 1 7 1 2 7 2 7 3 7 3 1 7 3 2 7 3 3 8 8 1 8 2 8 2 1 8 2 2 8 2 3 8 3 8 4 8 4 1 8 4 2 8 4 3 8 4 4

9 9.1 9.2 9.2.1 9.2.2 9.3 10 10.1 10.2 10.3 10.4 11 11.1 11.1.1 11.1.2 11.1.3 11.2 11.3 11.3.1 11.3.2 11.3.3 12 12.1 12.2

ISO/TR 10064-5 ISO/TR 10064-5 —? —? —? —? — —? —? —? —? —? —? —? —? —? —? ISO 1328-1:1995, ISO 1328-2:1997, ISO7TR 10064-1:1992, ISO/TR 10064-2:1996, ISO/TR 10064-3:1996, ISO/TS 14253-2:1999

CYLINDRICAL GEARS

CODE OF INSPECTION

Part 5. Recommendations relative to evaluationof gear measuring instruments
1 2 ISO 1122-1:1998 Vocabulary of gear terms — Part 1: Definitions related to geometry
ISO 1328-1:1995 Cylindrical gears — ISO system of accuracy — Part 1: Definitions and allowable values of deviations relevant to corresponding flanks of gear teeth

ISO 1328-2:1997 Cylindrical gears — ISO system of accuracy — Part 2: Definitions and allowable values of deviations relevant to radial composite deviation and runout information
ISO/TR 10064-1:1992 Cylindrical gears — Code of inspection practice — Part 1: Inspection of corresponding flanks of gear teeth
ISO/TR 10064-2:1996 Cylindrical gears — Code of inspection practice — Part 2: Inspection related to radial composite deviations, runout, tooth thickness and backlash
ISO/TR 10064-3:1996 Cylindrical gears — Code of inspection practice — Part 3: Recommendations relative to gear blanks, shaft center distance and parallelism of axes
ISO 10360-1:2000 Geometrical Product Specifications (GPS) —Acceptance and reverification tests for coordinate measuring machines (CMM) — Part 1: Vocabulary
ISO/TS 14253-1:1998 Geometrical Product Specifications (GPS) — Inspection by measurement of work pieces and measuring equipment — Part 1: Decision rules for proving conformance or nonconformance with specifications
ISO/TS 14253-2:1999 Geometrical Product Specifications (GPS) — Inspection by measurement of work pieces and measuring equipment — Part 2: Guide to the estimation of uncertainty in GPS measurement, in calibration of measuring equipment and in product verification
ISO 18653:2003 Gears — Evaluation of instruments for the measurement of individual gears
Guide to the expression of uncertainty in measurement (GUM), BIPM, IEC, IFCC, ISO, IUPAC, IUPAP, OIML, 1st edition 1993, corrected and reprinted in 1995.
ISO 1122-1:1998 ISO 1328-1:1995 ISO 1328-2:1997 ISO/TR 10064-1:1992 ISO/TR 10064-2:1996 ISO/TR 10064-3:1996 ISO 10360-1:2000 ISO/TS 14253-1:1998 ISO/TS 14253-2:1999 ISO 18653:2003 З? 4 4.1 4.1.1 —? —? —? —? —? —? 4.1.2 —? —? —? —? —? —? 4.1.3 —? —? —? 4.2 4.2.1 а?) z — L as — L ae — Ь?) = (^- t s —

4.2.2 а?) Lp — Ь?) P b = arcsin(sinpcosa n ); (3)
с?) 4.2.3 а?) b) с?) As n = d tana n (f a - f s )CTE. (6)
5 5.1 5.1.1
1 — 2 —
5.1.1.1 d

1 — 2 — 5.1.1.2 а?)

1 — 2 —
5.1.2 1 — 2 — 4 — 1 ■? — 2 —

5.1.2.1 5.1.2.2 5.1.2.3 а?) Ь?) 5.1.2.4 а?) Ь?) с?)

d) е?) f)

1 — 2 — З? — 5.2 5.2.1 R —
R —
5.2.2

5.3 5.3.1 5.3.1.1 5.3.1.2 5.3.1.3 5.3.2 5.3.2.1

X — Y —

5.3.2.2

1 — 2 —
5.4
1 — 2 — 4 — 5 — 6 —
5.4.1 5.4.2 5.4.3 5.5 6 6.1 6.2 6.2.1

1 — 2 —
1 — 2 —

6.2.3 6.2.3.1 6.2.3.2 6.2.4 6.2.5 LF RF

< ►?
0d

1 — 2 — 4 — 5 — 6.3
(7)
m n2 — L CJ — 6.4 6.4.1

6.4.2 6.4.3 —? —? 6.4.4 —? —? —? —? 6.4.5 6.4.6 6.4.7 6.5 6.5.1
sin 6.5.2 6.6 7 7.1 7.1.1 7.1.2 7.1.2.1 7.1.2.2 7.2

i/m — t/ w — 7.3 7.3.1 7.3.2 7.3.3 8 8.1 8.2 8.2.1 8.2.2 8.2.3 8.3 8.4 8.4.1 —? —? 8.4.2 а?) Ь?) с?) d) е?) f) h) і?) 8.4.3 8.4.4 9 9.1 а?) Ь?) с?)
^( X; — X — d)
_ ^95( ^95( е?)
(795 = 2( /9 9 0,5
U Q5 = 2(0, 47 2 +0,75 2 j 9.2 9.2.1 а?) Ь?) с?) d) е?) f) / U 95 = 2^1,34 + 0,75 2 ) = U a5 =2( 9.2.2 а?) Ь?) с?) F x — k wg — d) ^ws = ^ R a — k ws — е?) f) h) —? —? u vjg = 12,0(0,10) = 1,2 U ws = 1.6(0,1) = 0,16 U 95 = 2(0,47 2 + 0,75 2 + 1,21 2 ) 0 ’ 5 = U 95 = 2(0,47 2 + 0,75 2 + 1,21 2 ) 0 5 + |0,98| = 9.3 10 —? —? —? —? 1 0.1 LCL: UCL: 1 0.2 а?) Ь?) с?) d) е?) —? LC/.(X) = X-(2,66R); (20)

—? UCL(MR) = 3,27 R; (21)

LCL(MR) = 0. (22)

f) 10.3 а?) Ь?) с?) d) е?) f) h) 10.4

1 — 2 — 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 X UCL = X UCL = 2,25 + 2,66(0,65)

X UCL = 3,98

X LCL = X LCL = 2,25—2,66(0,65)

X LCL = 0,52

R UCL = 3,27 ( R UCL = 3,27 (0,65)

R UCL = 2,13

R LCL = 0

11 11.1 11.1.1

C —■? D — 1 — 2 — 4—? 5—?

11.1.2 11.1.3
11.2

—? —? —? —? 11.3 11.3.1 11.3.2 11.3.3 —? —? —? —?

12 12.1 —? —? —? —? —? —? —? —? —? 12.2 | N |- „ [( (J 95a — 17 95 а?) z =14 — a n =20 L s =7 L e =37 Ly [ A t = + 2,5 f s — Ь?) ‘ cosp
с?) d = m t z = 121,672 36 d) ( tana n a t = arctan = 21,573 98 / cosp J
e) d b =dcosa t = 113,148 43 f) L a =L e -L s =30 g) c/ b2 = d b + (<dbAt CTE) = 1 13,151 68 h)

L2 = — =30,000 86 az a j ’
I J
і?) а?) Z = 8 = 23 = 20 = 45,72 A t =+ 2,5 t s — Ь?)

g)
pb = arcsin(sinpcosan) = 21,54101 h) і?)

j) Q = Lptanp b = 18,047 40 к?) І?) f Hp = ( а?) z = 14 — m n =8 s n = 12,566 37 A t =+ 2,5 ts — Ь?) m t =—— = 8,690 88 ‘ cosp
с?) d = m t z = 121,672 36 d) ( tana n ' a t = arctan = 21,573 98. ‘ cosp J
e) d b = cfcosa t = 113,148 43 f) d 2 = d -(dA t g) a t2 = arccosl — h) £?, = (tana t )| — J = 22,654 91 і?) = tan a t2 ^— ^ = 22,650 10 j) inva t = k) inva t2 = £?,2 - a t2 = 1,080 28 s t =—— = 13,651 61 cosp '
m)

q) s tp =s t2 —= 13,652 99
s n2 = s tp cosp = 12,567 64 s) A sn = ( s n2 ~s n ) = 0,00127 В?.1 В?.2 z =14
m n =8 Z_ a i = 7 —? —? —? —?

=| — |( Af Ha = 50 В?.2 .2 а?) m n

cosp
b) d = m t z = 121,672 36 с?)

(tananat = arctan
cosp
d) d b = e) =Z -a2 -^1 = 30 ( f) Ad b =d b = 0,188 58 d b2 = d b -Ad b =112,959 85 h) a t2 = arccosj^ = 21,814 22і?) a n2 = arctan(tana t2 cosp) = 20,225 85 z =14 — а?) m n
= = 8,690 88 cosp
b) d = m z = 121,672 36 c)
(tanan at = arctan
d) d b =dcosa t =113,148 43 e) ( L = - —- = 900,512 79 f) p b = arctan ^^ = 21,54101

h) і?)

d
L2 =—— = 899,247 18 tanp b2
к?) ^2 J
І?) m n2 = m t cos m) В?.4.1 —? —? cosa yMt ' '
—? —? cosa yMt
—? —? = —? —? f 2
/Wp2 = COSCCy Mt z

1 — 2 — З? —

= 7TZ 2-
sin P 0 ( = arccos — 20 ( = arctan
cosp J 20 = arccos 1
sina t ) 0 W — + inva,
d ) n 4,577 26 Ppbt = ^d b cosp b J = y bt -(inva yMt J —- 3,723 31

1 - RF ( 2 — LF tf), 3-F r

1 — 2 — 4 — 5 — 6 —
F a — 0,05

F s — 0,05

F a — 0,05

r s — L o —

k

(C.5)
(C.6)
(C.7)

(C 8)

d b = 115 r b = d b /2 = 57,5 d s = 1 r s = d s /2 = 0,5 L o = 9,233 —? —? —? —?

A z =9,2403

b 1180 J = arccos
25 2 +25,303 6 2 -10 2 2(25)(25,303 6)
10 = 22,922 472 = 5,336124- 25(10)1 — v '<180
+ 1 = -0,027 199 = 4,335 606- 25(10)1 — I
V l80j
-0,027 717

1 —

/ 2 2 2 r b + I 2 Vo J
a = arctans
a g = T - r = - cosa
s = ^7 2 +r 2 -2rr o cosa g
/ 2 2 2 A
r o +3 - a h = arccos —
I 2f o S J
a p = ^~ T + E-a b
v = ssina p +e p
// ~2
P = Vvp + fc ) +v q = scosa p 5 p =p-q-r p
12,7
44
0
0
0
0 43,75 12,7
44 0,5 0 0
0 43,75 12,7
44
0,5
0,01
0
0 43,75 12,7
44
0,5
0,01
0,01
0 43,75 12,7
44 0,5 0,01 0,01
90 - 10 -0,187404 -0,155430 -0,151880 -0,151445 -0,151880 -9 -0,141376 -0,114496 -0,111248 -0,110920 -0,111248 -8 -0,103903 -0,081430 - 0,078465 - 0,078228 - 0,078465 -7 -0,073882 -0,055214 -0,052517 - 0,052358 -0,052517 -6 - 0,050324 - 0,034932 - 0,032487 -0,032393 - 0,032487 -5 - 0,032335 -0,019752 -0,017544 -0,017503 -0,017544 — 4 -0,019104 -0,008918 - 0,006934 - 0,006934 - 0,006934 -2 - 0,004037 0,002401 0,003976 0,003926 0,003976 - 1 - 0,000924 0,004084 0,005472 0,005413 0,005472 0 0,000000 0,003826 0,005037 0,004981 0,005037 1 - 0,000765 0,002096 0,003143 0,003098 0,003143 2 - 0,002766 -0,000681 0,000211 0,000489 0,000211 3 - 0,005596 -0,004126 - 0,003377 - 0,003366 - 0,003377 4 -0,008896 - 0,007899 - 0,007283 - 0,007230 -0,007283
44 0 0 0 0 43,75 12,7
44 0,5
0 0
0 43,75 12,7
44 0,5 0,01
0 0 43,75 12,7
44
0,5 0,01 0,01
0 43,75 12,7
44 0,5 0,01 0,01
90 5 -0,012345 -0,011704 -0,011212 -0,011106 -0,011212 6 -0,015670 -0,015287 -0,014907 -0,014738 -0,014907 7 -0,018636 -0,018430 -0,018152 -0,017911 -0,018152 8 -0,021051 - 0,020958 - 0,020773 - 0,020448 - 0,020773 9 - 0,022765 - 0,022736 - 0,022633 -0,022215 - 0,022633 10 - 0,023669 - 0,023666 - 0,023635 -0,023113 - 0,023635 11 - 0,023694 - 0,023692 - 0,023724 - 0,023088 - 0,023724 12 -0,022815 - 0,022799 - 0,022882 -0,022123 - 0,022883 13 -0,021048 -0,021010 -0,021136 -0,020242 -0,021136 14 -0,018452 -0,018390 -0,018548 -0,017511 -0,018548 15 -0,015125 -0,015045 -0,015224 -0,014033 -0,015224 16 -0,011212 -0,011121 -0,011312 - 0,009957 -0,011312 17 - 0,006897 - 0,006805 - 0,006997 - 0,005468 - 0,006997 18 - 0,002409 - 0,002325 - 0,002509 0,000796 - 0,002509 19 0,001982 0,002049 0,001884 0,003789 0,001884 20 0,005963 0,006008 0,005872 0,007980 0,005872 21 0,009179 0,009201 0,009105 0,011423 0,009104 22 0,011233 0,011238 0,011191 0,013730 0,011191 23 0,011688 0,011688 0,011700 0,014468 0,011700 24 0,010062 0,010081 0,010162 0,013168 0,010162 25 0,005836 0,005907 0,006068 0,009318 0,006068 26 -0,001551 -0,001382 -0,001132 0,002372 -0,001132 27 -0,012700 -0,012374 -0,012024 - 0,008259 -0,012024 28 - 0,028254 - 0,027694 -0,027234 -0,023202 - 0,027234 29 - 0,048892 - 0,048006 - 0,047426 -0,043119 - 0,047426 1 ISO 701:1976 International gear notation — Symbols for geometrical data
2 ISO 1122-1:1983 Glossary of gears — Part 1: Geometrical definitions
3 AGMA TECHNICAL PAPER 93FTM6 Effect of Radial Runout on Elemental Measurements by I. Laskin, Consultant; R.E. Smith, R.E. Smith & Co.; and E. Lawson, Mahr Corporation
4 Fundamental Statistical Process. Control, Automotive Industry Action Group, December 1991
5 Journal of Quality Technology. Volume 16, Nor. 4, October 1984
6 Beyer, W. et al. Kreisformige Evolventennormale, Qualitatstechnik, Carl Hanser Verlag, Munchen 1986
7 Kondo, K., Mizutani, H. Measurement Uncertainty of Tooth Profile by Master Balls. VDI-BERI