測(cè)量系統(tǒng)分析用圖

1、.L I F E F I R E T R A I N I N G I N S T I T U T I O N ：07692489406 FAX：07692489409PAGE ：.；4附圖 圖4-1.1丈量系統(tǒng)分辨力對(duì)過(guò)程分析和控制的影響數(shù)據(jù)組數(shù)與過(guò)程的分析丈量數(shù)據(jù)對(duì)分析的影響丈量數(shù)據(jù)對(duì)控制的影響1個(gè)數(shù)據(jù)組 1個(gè)數(shù)據(jù)組 不能用于對(duì)過(guò)程的參數(shù)估計(jì)或計(jì)算過(guò)程才干指數(shù),僅能闡明過(guò)程的輸出能否合格只需以下條件下才可用于控制:與規(guī)范相比過(guò)程變差較小預(yù)期過(guò)程變差上的損失函數(shù)很平緩過(guò)程變差的主要緣由導(dǎo)致均值偏倚24個(gè)數(shù)據(jù)組 24個(gè)數(shù)據(jù)組 僅能提供粗糙的估計(jì)值,普通說(shuō)來(lái)不能用于對(duì)過(guò)程的參數(shù)估計(jì)或計(jì)算過(guò)程才干指

2、數(shù)根據(jù)過(guò)程分布可用半計(jì)量控制技術(shù)可產(chǎn)生不敏感的計(jì)量控制圖5個(gè)及以上數(shù)據(jù)組 5個(gè)及以上數(shù)據(jù)組 可以用于過(guò)程參數(shù)估計(jì),以及可以用于各種類型的控制圖.闡明丈量系統(tǒng)具有足夠的分辨力可用于計(jì)量控制圖圖4-1.2過(guò)程動(dòng)搖的主要來(lái)源及丈量系統(tǒng)分析的主要內(nèi)容再現(xiàn)性觀測(cè)到的動(dòng)搖總動(dòng)搖過(guò)程的動(dòng)搖丈量系統(tǒng)動(dòng)搖過(guò)程長(zhǎng)期動(dòng)搖過(guò)程短期動(dòng)搖樣本內(nèi)動(dòng)搖量具的動(dòng)搖操作者的動(dòng)搖準(zhǔn)確度或偏倚反復(fù)性線性穩(wěn)定性分辨力圖4-1.3丈量系統(tǒng)分析實(shí)施流程圖超越本手冊(cè)的范圍丈量能否已預(yù)備?否是丈量能否恣意分配?否是計(jì)數(shù)型量具研討(小樣法)否能否有不同的丈量?jī)x器?否供測(cè)試用零件能否超越300件?是極差法是否計(jì)數(shù)型量具研討(大樣法)能否有不同的丈

3、量?jī)x器?否短期適用的分析時(shí)間?是均值和極差或方差分析法圖表分析長(zhǎng)期圖4-1.4反復(fù)性極差控制圖2名評(píng)價(jià)人3次實(shí)驗(yàn)5個(gè)零件評(píng)價(jià)人1 評(píng)價(jià)人26.4UCL2.5R0.01 2 3 4 5 1 2 3 4 5極差受控丈量過(guò)程是致的圖4-1.5零件評(píng)價(jià)人均值圖2名評(píng)價(jià)人3次實(shí)驗(yàn)5個(gè)零件評(píng)價(jià)人1 評(píng)價(jià)人2219.2UCL 控制上限216.61 2 3 4 5 1 2 3 4 530%的零件平均值在限值外，丈量過(guò)程缺乏以檢出零件間變差 圖4-1.6 基準(zhǔn)值 偏倚 觀測(cè)的平均值 觀測(cè)的平均值 圖4-2 反復(fù)性 反復(fù)性 操作者B 操作者C 操作者A 再現(xiàn)性 圖4-3圖4-4 穩(wěn)定性 時(shí)間2 時(shí)間1圖4-5 a

4、線性 基準(zhǔn)值 基準(zhǔn)值 偏倚較小 偏倚較大 觀測(cè)的平均值 觀測(cè)的平均值 范圍的較低部分 范圍的較高部分 圖4-5 b線性變化的線性偏倚 有偏倚 倚 偏有 觀測(cè)的平均值 無(wú)偏倚 基準(zhǔn)值 圖4-6 偏倚例如 基準(zhǔn)值 .80 X bar=.75圖4-7: 量具反復(fù)性和再現(xiàn)性數(shù)據(jù)表格(包括零件內(nèi)變差) 零 件評(píng)價(jià)人平均值12345評(píng)價(jià)人 實(shí)驗(yàn)次數(shù)最大最小極差最大最小極差最大最小極差最大最小極差最大最小極差1. A 1.68.58.101.07.93.14.87.78.09.97.83.14.58.42.162. 2.67.57.101.08.92.16.85.77.08.96.81.15.59.40.1

5、93. 34. 平均值(全部).6251.00081750.89250.49750.76655. 極差0.010.010.01.010.020.020.010.010.01.02.01.01.02.030.0136. B 1.59.51.081.08.92.16.82.73.09.84.71.13.49.31.187. 2.60.50.101.07.93.14.81.75.06.85.70.15.48.32.168. 39. 平均值(全部).551.007878.40.700510. 極差0.010.010.020.010.010.020.010.020.030.010.010.020.010

6、.010.020.01111. C 1.56.49.071.10.95.15.84.77.07.87.74.13.56.39.1712. 2.55.47.081.08.94.14.84.76.08.88.73.15.57.38.1913. 314. 平均值(全部).521.02.80.80.48.722515. 極差.01.02.01.02.01.01.00.01.01.01.01.02.01.010.20.011零件平均值 ( xbarP)0.5651.007.799.824.459Rp=.55WIV平均值 (xbarWIV)0.090.150.080.140.17RxbarWIV =.09

7、 18. Rbarbar =極差行5+行10+行15/極差數(shù)量= 0.35/30 =0.0117(只需最大/最小極差) 19 最大xbar=0.7665 -最小x=0.7005 =R0=X barDIFF=0.0660.07 20 Rbarbar= D4*= =UCLR 21 Rbarbar= D3*= =LCLR* 實(shí)驗(yàn)次數(shù)為2次時(shí)D4=3.27，實(shí)驗(yàn)次數(shù)為3次時(shí)D4=2.58；7次實(shí)驗(yàn)以內(nèi)D3=0。UCLR，LCLR代表單個(gè)R的極限。圈出那些超出限值的值，區(qū)分緣由并糾正。同一評(píng)價(jià)人采用最初儀器反復(fù)這些讀數(shù)或剔除這些超限值并由其他觀測(cè)值再次平均并計(jì)算R和極限值。 注：圖4-8:量具反復(fù)性和再

8、現(xiàn)性報(bào)告(包括零件內(nèi)變差)零件稱號(hào)： 零件號(hào)： 日期： 年 月 日量具稱號(hào)： 量具編號(hào)： 量具類型： 丈量參數(shù)： 尺寸規(guī)格： 執(zhí)行人： 根據(jù)數(shù)據(jù)表：Rbarbar= 0.0117 XbarDIFF= 0.07 RP = 0.55測(cè) 量 系 統(tǒng) 分 析% 總 變 差 TV反復(fù)性設(shè)備變差EV EV = RbarbarK1 =0.01174.56 =0.0534%EV=100EV/TV =100.0534/1.178 = 4.2%實(shí)驗(yàn)次數(shù) K1234.563.05 再現(xiàn)性評(píng)價(jià)人變差A(yù)V AV = ( XbarDIFFK2)2-(EV2/nm) 1/2 =( (0.072.70 )2 (0.052/5

9、2 )1/2 =0.178%AV =100AV/TV =1000.178/1.178 =15.3%n=零件數(shù)量m=實(shí)驗(yàn)次數(shù) 評(píng)價(jià)人23K23.652.70反復(fù)性和再現(xiàn)性(GR&R)GR&R = (EV2+AV2)1/2 = (0.052+0.182)1/2 =0.187%GR&R =100GR&R/TV =100.187/1.178 =15.9%零件數(shù)K323456 7 8 9 103.652.702.302.081.93 1.821.741.671.62零件變差PVPV =RPK3 =0.552.08 =1.144%PV =100PV/TV=1001.144/.1.178 =97%零件內(nèi)變差

10、WIVWIV = x barbarWIV+ (RXbarWIVK3)2 -(EV WIV )2/nWIVm 1/2 /2 =0.126+ (0.1872)2-0.0762/(32)/2 =0.218 式中： xbarbarwiv=xwiv(行17)/ xwiv讀數(shù)數(shù)量=0.63/5=0.126 nWIV =評(píng)價(jià)人數(shù)量,m=實(shí)驗(yàn)次數(shù), EVWIV=Rrge(行5,10,15)/ Rrge讀數(shù)數(shù)量K1=0.25/154.56 = .076 RRGE 讀數(shù)數(shù)量 %WIV =100WIV/TV =1000.22/1.179 =18.7%總變差(TV)TV = (GR&R2 + PV2 + WIV2)1

11、/2 = ( 0.18 )2 + ( 1.144)2 + ( 0.218) 21/2 = 1.178圖4-9:反復(fù)性極差控制圖工廠部門操作人計(jì)算日期控制極限工程規(guī)范至mm 零件號(hào)機(jī)器編號(hào)日期-至-被測(cè)參數(shù)，“ 樣本容量/頻率 零件稱號(hào) /小時(shí) xbarbar= UCL = LCL= 平均值 (xbar圖)1.11.00.90.80.70.6.0.50.4 Rbar = UCL LCL= * 極差R圖 UCLR=.130.130.12 評(píng)價(jià)人A 評(píng)價(jià)人B評(píng)價(jià)人C0.110.100.090.080.070.060.05R=.040.040.030.020.01日期 時(shí)間讀數(shù)12345和Xbar=和

12、/讀數(shù)數(shù)量 R=最高-最低圖4-10:零件評(píng)價(jià)人均值圖工廠部門操作人計(jì)算數(shù)據(jù)控制極限工程規(guī)范至mm 零件號(hào)機(jī)器編號(hào)日期-至-被測(cè)參數(shù)，“ 樣本容量/頻率 零件稱號(hào) /小時(shí) x bar bar=0.8008 UCL =0.876 LCL=0.7256 平均值 (xbar圖)1.1評(píng)價(jià)人A評(píng)價(jià)人B 評(píng)價(jià)人C1.00.9 UCL 0.8LCL0.70.60.50.4 Rbar = UCL LCL= * 極差R圖 0.130.120.11 73%的零件平均值在限值外0.100.090.080.070.060.050.040.030.020.01日期 時(shí)間讀數(shù)12345和X= 和 讀數(shù)數(shù)量R=最高-最低

13、圖4-11:規(guī)范均值和極差法量具反復(fù)性和再現(xiàn)性數(shù)據(jù)表評(píng)價(jià)人/實(shí)驗(yàn)次數(shù)零 件平均值123451. A 10.651.000.850.850.552. 20.601.000.800.950.453. 34. 平均值0.6251.000.8250.8750.50 xbar a=0.76505. 極差0.550.000.050.100.10R bar a=0.066. B 10.551.050.800.800.407. 20.550.950.750.750.408. 39. 平均值0.551.000.7750.7750.40 x bar b=0.700010. 極差0.000.10.050.050.0

14、0Rbar b=0.0411. C 10.501.050.800.800.4512. 20.551.000.800.800.5013. 314. 平均值0.5251.0250.800.800.475x bar c=0.725015. 極差0.050.050.000.000.05R barc=0.03 -零件 平均值(x bar P)0.5661.0080.800.8170.458xbar=0.730Rp=0.55 -17. Rbar a=0.06 + Rbar b=0.04 + Rbar c=0.03 / 評(píng)價(jià)人數(shù)=3 R bar bar= 0.043318 最大x=0.7650- 最小x=0

15、.70 =X bar DIFF = 0.065 0.0719. Rbar bar= D4*= =UCLR20. Rbar bar= D3*= =LCLR 2次實(shí)驗(yàn)時(shí)D4=3.27，3次實(shí)驗(yàn)時(shí)D4=2.58。7次實(shí)驗(yàn)以內(nèi)D3=0；UCLR，LCLR代表單個(gè)R的極限。圈出那些超出極限的值。查明緣由并糾正。同一評(píng)價(jià)人采用最初的儀器反復(fù)這些讀數(shù)或剔除這些值并由其他觀測(cè)值再次平均并計(jì)算R和極限值。 注：圖4-12: 規(guī)范均值和極差法量具反復(fù)性和再現(xiàn)性報(bào)告零件稱號(hào)： 零件號(hào)： 日期： 年 月 日量具稱號(hào)： 量具編號(hào)： 量具類型： 丈量參數(shù)： 尺寸規(guī)格： 執(zhí)行人： 數(shù)據(jù)表：Rbar bar=0.0433 X

16、 bar DIFF= 0.07 RP = 0.55 測(cè) 量 系 統(tǒng) 分 析% 總 變 差 TV反復(fù)性設(shè)備變差EV EV = RbarbarK1 =0.04334.56 =0.19760.20%EV=100EV/TV=1000.2/1.175=17.0%實(shí)驗(yàn)次數(shù)K1234.563.05再現(xiàn)性評(píng)價(jià)人變差A(yù)V AV =( XDIFFK2)2-(EV2/nm)1/2 =(0.072.70)2-(0.202/52) 1/2 =0.1780.18%AV =100AV/TV =1000.18/1.175 =15.3%n=零件數(shù)量m=實(shí)驗(yàn)次數(shù) 評(píng)價(jià)人23 K23.652.70反復(fù)性和再現(xiàn)性(GR&R)GR&R

17、 = (EV2+AV2)1/2 = (0.202+0.182)1/2 =0.269%GR&R =100GR&R/TV =1000.269/1.175 =22.9% 零件數(shù)K3 2 3 4 5 6789103.652.702.30 2.081.93 1.821.741.671.62零件變差PVPV =RPK3 =0.552.08 =1.144%PV =100PV/TV=100 1.144/ 1.175=97.4%總變差TV TV = GR&R2+PV21/2 = (0.2692+1.1442) 1/2 =1.175 (帶有量具誤差分量時(shí)為1.172)一切計(jì)算都基于預(yù)期5.15(在正態(tài)分布曲線之下

18、99.0%的面積)。K1為5.15/d2*，d2*取決于實(shí)驗(yàn)次數(shù)m和零件數(shù)與評(píng)價(jià)人數(shù)的乘積g，并假設(shè)該值大于15。d2*數(shù)值表2。AV 假設(shè)計(jì)算中根號(hào)下出現(xiàn)負(fù)值，評(píng)價(jià)人變差缺省為0。K2為5.15/d2*，式中d2*取決于評(píng)價(jià)人數(shù)量m和g，g為1，由于只需單極差計(jì)算。K3為5.15/d2*，式中d2*取決于零件數(shù)m和g，g為1，由于只需單極差計(jì)算。d2*D3，“質(zhì)量控制和工業(yè)統(tǒng)計(jì)A.J.Duncan圖4-13 線性圖1名評(píng)價(jià)人12次實(shí)驗(yàn)5個(gè)零件 過(guò)程變差 = 6.001.201.000.800.600.400.20-0.00-0.20 -0.40 -0.60+ 偏 倚倚+ + + 低 名義 高

19、 4.00 6.00 8.00 10.00 基準(zhǔn)值偏倚 = 0.05 線性 = 0.79 擬合優(yōu)度(R2)= 0.98 %線性 = 13.17 圖4-14: 量具特性曲線接受概率1.000.900.800.700.600.500.400.300.200.100.00 0.60 0.80 1.00 1.02 1.04 基準(zhǔn)零件丈量 GRR=0.07 偏倚=0.05圖4-15 繪制在正態(tài)概率紙上的量具特性曲線一 偏 倚 0.0023 低 % 高 % -0.016 10 30 20 40 2 99.8 99.5 96 98 95 90 80 70 60 50 40 30 20 10 5 10.5 0

20、.2 0.2 0.5 1 2 5 50 60 70 80 90 95 96 98 99.5 99.8REPEA/反復(fù)性=0.0079 未調(diào)整 -0.014 -0.012 -0.010 -0.008被測(cè)零件的基準(zhǔn)值 圖4-16:量具特性曲線0.90.60.70.81.0接 受 概 率上限下限0.00.10.20.30.40.5 -0.015 -0.010 -0.005 0 +0.005 +0.010 +0.015被測(cè)零件的基準(zhǔn)值5附表 表5-1 平均極差分布的d2*值d2*值 g15 mg23456789101112131415161718192011.411.912.242.482.672.8

21、32.963.083.183.273.353.423.493.553.613.663.713.763.8121.281.812.152.402.602.772.913.023.133.223.303.383.453.513.573.633.683.733.7731.231.772.122.382.582.752.893.013.113.213.293.373.433.503.563.613.663.713.7641.211.752.112.372.572.742.883.003.103.203.283.363.433.493.553.613.663.713.7551.191.742.102.3

22、62.562.732.872.993.103.193.283.353.423.493.553.603.663.703.7561.181.732.092.352.562.732.872.993.103.193.273.353.423.493.553.603.653.703.7571.171.732.092.352.552.722.872.993.103.193.273.353.423.483.543.603.653.703.7581.171.722.082.352.552.722.872.983.093.193.273.353.423.483.543.603.653.703.7491.161.7

23、22.082.242.552.722.862.983.093.183.273.353.423.483.543.603.653.703.74101.161.722.082.342.552.722.862.983.093.183.273.343.423.483.543.603.653.703.74111.161.712.082.342.552.722.862.983.093.183.273.343.413.483.543.593.653.703.74121.151.712.072.342.552.722.852.983.093.183.273.343.413.483.543.593.653.703

24、.74131.151.712.072.342.552.712.852.983.093.183.273.343.413.483.543.593.653.693.74141.151.712.072.342.542.712.852.983.083.183.273.343.413.483.543.593.653.693.74151.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543.593.653.693.74161.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543

25、.593.643.693.74171.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74181.151.712.072.332.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74191.151.702.072.332.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74201.141.702.072.332.542.712.852.983.083.183.263.343

26、.413.483.543.593.643.693.74201.1281.6932.072.3262.5342.7042.8472.9073.0783.1733.2583.3363.4073.4723.5323.5883.6403.6893.735表5-2: 控制圖常數(shù)子組內(nèi)察看次數(shù)A2D3D4d221.88003.2671.12831.02302.5751.69340.72902.2822.05950.57702.1152.32660.48302.0042.53470.4190.0761.9242.70480.3730.1.8642.84790.3370.1841.8162.970100.30

27、80.2231.7773.078110.2850.2561.7443.173120.2660.2841.7163.258130.2490.3081.6923.336140.2350.3291.6713.407150.2230.3481.6523.472表5-3：量具研討(極差法)零件評(píng)價(jià)人A評(píng)價(jià)人B極差R= xmax-xmin10.850.800.0520.750.700.0531.000.950.0540.450.550.1050.500.600.10平均極差Rbar=Ri/5=0.35/5=0.07GRR=5.15Rbar/ d2*=5.15R/1.19=5.150.07/1.19=0.3

28、03過(guò)程變差=0.40% GRR=100GRR/過(guò)程變差 =1000.303/0.40=75.5% 表5-4：量具反復(fù)性和再現(xiàn)性數(shù)據(jù)評(píng)價(jià)人/實(shí)驗(yàn)次數(shù)零 件平均值123456789101. A 10.651.000.850.850.551.000.950.851.000.602. 20.601.000.800.950.451.000.950.801.000.703. 34. 平均值0.6251.0000.8250.9000.5001.0000.9500.8251.0000.650 xbar a=0.82755. 極差0.050.000.050.100.100.000.000.050.000.10

29、R bar a=0.0456. B 10.551.050.800.800.401.000.950.751.000.557. 20.550.950.750.750.401.050.900.700.950.508. 39. 平均值0.5501.0000.7750.7750.4001.0250.9250.7250.9750.525x bar b=0.767510. 極差0.000.100.050.050.000.050.050.050.050.05R bar b=0.04511. C 10.501.050.800.800.451.000.950.801.050.8512. 20.551.000.80

30、0.800.501.050.950.801.050.8013. 314. 平均值0.5251.0250.8000.8000.4751.0250.9500.8001.0500.825x bar c=0.827515. 極差0.050.050.000.000.050.050.000.000.000.05R bar c=0.030 -16零件平均值(x barP)0.5671.0080.8000.8250.4581.0170.9420.7831.0080.667xbar =0.8075Rp=0.559 -17. R bar a=0.045 + Rbar b=0.045 + R bar c=0.03

31、/# 評(píng)價(jià)人數(shù)=3R bar bar .=0.0418 Max x=0.8275 - Min x=0.7675 =x bar Diff0.0619. Rbar bar=0.04 D4*=3.27 =UCLR0.1320. Rbar bar=0.04 D3*=0.00 =LCLR0.00 * 2次實(shí)驗(yàn)時(shí)D4=3.27，3次實(shí)驗(yàn)時(shí)D4=2.58。7次實(shí)驗(yàn)以內(nèi)D3=0；UCLR，LCLR代表單個(gè)R的極限。圈出那些超出極限的值。查明緣由并糾正。同一評(píng)價(jià)人采用最初的量規(guī)儀器反復(fù)這些讀數(shù)或剔除這些值并由其他觀測(cè)值再次平均，計(jì)算R和極限值。 注：表5-5：量具反復(fù)性和再現(xiàn)性報(bào)告 零件號(hào)和稱號(hào)： 量具稱號(hào)：

32、厚薄規(guī) 日期：4/12/88丈量參數(shù)： 厚度 量具編號(hào)： X-29.34 執(zhí)行人：尺寸規(guī)格： 0.6-1.0mm 量具類型： 0.0-10.1 數(shù)據(jù)表：Rbar bar=0.044 xbar DIFF= 0.06 RP = 0.559 測(cè) 量 系 統(tǒng) 分 析% 總 變 差 TV反復(fù)性設(shè)備變差EV EV = RbarbarK1 =0.0444.56 =0.18%EV=100EV/TV=1000.18/0.93=18.7%實(shí)驗(yàn)次數(shù)K1234.563.05再現(xiàn)性評(píng)價(jià)人變差A(yù)V AV =( XbarDIFFK2)2-(EV2/nm)1/2 =(0.062.70)2-0.182/(102)1/2 =0.

33、16%AV =100AV/TV =1000.16/0.93 =16.8%n=零件數(shù)量m=實(shí)驗(yàn)次數(shù) 評(píng)價(jià)人23 K23.652.70反復(fù)性和再現(xiàn)性(GR&R)GR&R = (EV2+AV2) 1/2 = (0.182+0.162) 1/2 =0.24%GR&R =100R&R/TV =1000.24/0.93 =25.2% 零件數(shù)K3 2 3 4 5 6789103.652.702.30 2.081.93 1.821.741.671.62零件變差PVPV =RPK3 =0.561.62 =0.90%PV =100PV/TV=1000.90/0.93=96.8%總變差TV TV =R&R2+PV2

34、1/2 = (0.242+0.902) 1/2 =0.93一切計(jì)算都基于預(yù)期5.15(在正態(tài)分布曲線之下99.0%的面積)。K1為5.15/ d2*，d2*取決于實(shí)驗(yàn)次數(shù)m和零件數(shù)與評(píng)價(jià)人數(shù)的乘積g，并假設(shè)該值大于15。d2*數(shù)值表2。AV 假設(shè)計(jì)算中根號(hào)下出現(xiàn)負(fù)值，評(píng)價(jià)人變差缺省為0。K2為5.15/d2*，式中d2*取決于評(píng)價(jià)人數(shù)量m和g，g為1，由于只需單極差計(jì)算。K3為5.15/d2*，式中d2*取決于零件數(shù)m和g，g為1，由于只需單極差計(jì)算。d2*D3，質(zhì)量控制和工業(yè)統(tǒng)計(jì)A.J.Duncan表5-6： 量具反復(fù)性和再現(xiàn)性報(bào)告一墊片例如 量具R&R 均值和極差法3位評(píng)價(jià)人，10個(gè)零件，

35、2次實(shí)驗(yàn) 評(píng)注：特殊研討 5.15 %總變差 規(guī)范偏向反復(fù)性 0.18 18.7再現(xiàn)性 0.16 16.8量具R&R 0.24 25.2零件間 0.90 96.8 基于本過(guò)程，量具合格注：容差=不適用 總變差=0.93不同數(shù)據(jù)分級(jí)數(shù)=5 置信程度CL=90.00%表5-7量具研討比較一一樣的5個(gè)零件,有和無(wú)零件內(nèi)變差(WIV)研討類型量具反復(fù)性變差再現(xiàn)性變差量具R&RWIV零件間變差總過(guò)程變差R&R占總過(guò)程變差%反復(fù)性單獨(dú)占總變差%再現(xiàn)性單獨(dú)占總變差%帶WIV不帶WIV0.05340.2000.1770.1780.1820.2690.18201.1441.1441.1781.17515.9%2

36、2.9%4.2%17.0%15.3%15.3%表5-8 量具數(shù)據(jù)一覽表 零件 1 2 3 4 5 基準(zhǔn)值 2.00 4.00 6.00 8.00 10.00 2.70 5.10 5.80 7.60 9.10 2.50 3.90 5.70 7.70 9.30 2.40 4.20 5.90 7.80 9.50 2.50 5.00 5.90 7.70 9.30 試 5 2.70 3.80 6.00 7.80 9.40 2.30 3.90 6.10 7.80 9.50 驗(yàn) 7 2.50 3.90 6.00 7.80 9.50 2.50 3.90 6.10 7.70 9.50 次 9 2.40 3.90

37、 6.40 7.80 9.60 2.40 4.00 6.30 7.50 9.20 數(shù) 11 2.60 4.10 6.00 7.60 9.30 2.40 3.80 6.10 7.70 9.40 零件平均值 2.49 4.13 6.03 7.71 9.38 基準(zhǔn)值 2.00 4.00 6.00 8.00 10.00 偏倚 +0.49 +0.13 +0.03 -0.29 -0.62 極差 0.4 1.3 0.7 0.3 0.5表5-9： 計(jì)數(shù)型量具研討小樣法A 評(píng) 價(jià) 人B 評(píng) 價(jià) 人12121GGGG2GGGG3NGGGG4NGNGNGNG5GGGG6GGGG7NGNGNGNG8NGNGGG9GG

38、GG10GGGG11GGGG12GGGG13GNGGG14GGGG15GGGG16GGGG17GGGG18GGGG19GGGG20GGGG離散型數(shù)據(jù)丈量系統(tǒng)分析丈量原始記錄表(3個(gè)丈量者)零件號(hào)第一次丈量結(jié)果第二次丈量結(jié)果ABCABC100000020100003111111400000051011006111001711011080000009010001100101001111011012000000130000001400001015010110161011011700000018000001191011112011111121000000221110112300000024111110

39、250000002611111127100100280000002911111130110011離散型數(shù)據(jù)丈量系統(tǒng)分析反復(fù)性百分比處置記錄表(3個(gè)丈量者)零件號(hào)實(shí)踐不一致次數(shù)第一次丈量第二次丈量ABCA1B1C1A2B2C210000000002010010000300011111140000000005001101100611011100170001101108000000000900100000110100000100110001101101200000000013000000000140100000101510001011016000101101170000000001800100000

40、1190101011112001011110121000000000221001110112300000000024001111110250000000002600011111127000100100280000000002900011111130101110011合計(jì)不一致次數(shù)555不一致總次數(shù)15反復(fù)性百分比的計(jì)算檢查員時(shí)機(jī)總次數(shù)實(shí)踐不一致次數(shù)反復(fù)性百分比A30583.3%B30583.3%C30583.3%離散型數(shù)據(jù)丈量系統(tǒng)分析再現(xiàn)性百分比處置記錄表(3個(gè)丈量者)樣品號(hào)第一次丈量第二次丈量第一次丈量不一致次數(shù)第二次丈量不一致次數(shù)A1B1C1A2B2C2A1-B1A1-C1B1-C1A2-

41、B2A2-C2B1-C2100000000000020100001010003111111000000400000000000051011001011106111001000011711011001101180000000000009000001000011100001000001101111011001101112000000000000130000000000001400001000010115010110101011161011011011011700000000000018000001000011191011111010002011110100010121000000000000221

42、110110001002300000000000024111110000000250000000000112611111100000027100100110110280000000000002911111100000030110011011110合計(jì)不一致次數(shù)64881210不一致總次數(shù)48%再現(xiàn)性=100*實(shí)踐一致的總次數(shù)/時(shí)機(jī)總次數(shù)(對(duì)一切操作者分次單獨(dú)比較)N為偶數(shù):時(shí)機(jī)總次數(shù)=零件數(shù)n*(每個(gè)零件每次被丈量的時(shí)機(jī)數(shù)N2/4)N為奇數(shù):時(shí)機(jī)總次數(shù)=零件數(shù)n*(每個(gè)零件每次被丈量的時(shí)機(jī)數(shù)N2-1)/4實(shí)踐一致的總次數(shù)=時(shí)機(jī)總次數(shù)-實(shí)踐不一致的總次數(shù)(一切操作者分次比較丈量同一零件的丈量結(jié)果

43、之間的結(jié)果)離散型數(shù)據(jù)丈量系統(tǒng)分析一致性百分比處置記錄表(3個(gè)丈量者)零件號(hào)不一樣次數(shù)對(duì) 比A1-A2A1-B1A1-B2A1-C1A1-C2A2-B1A2-B2A2-C1A2-C2B1-B2B1-C1B1-C2B2-C1B2-C2C1-C210000000000000000250100010001110003000000000000000040000000000000000580110111010101006810100101110011078000110011011110800000000000000009500001000100101110510000111100000011800011

44、001101111012000000000000000013000000000000000014500100010010011015910100001101111016800100110001111017000000000000000018500001000100101119501000100011100020500100010010011021000000000000000022510000111100000023000000000000000024500001001001010125000000000000000026000000000000000027801111111100000028

45、0000000000000000290000000000000000308100101101010101%一致性 (%GR&R)=100*實(shí)踐一致的總次數(shù)/能夠一致的總次數(shù)(對(duì)一切操作者分次單獨(dú)比較)=N為偶數(shù): 能夠一致的總次數(shù)=零件數(shù)n*(每個(gè)零件每次被丈量的時(shí)機(jī)數(shù)N2/4)N為奇數(shù): 能夠一致的總次數(shù)=零件數(shù)n*(每個(gè)零件每次被丈量的時(shí)機(jī)數(shù)N2-1)/4實(shí)踐一致的總次數(shù)=能夠一致的總次數(shù)-實(shí)踐不一致的總次數(shù)(對(duì)一切零件各次丈量結(jié)果分別比較不一致的次數(shù)之和)離散型數(shù)據(jù)丈量系統(tǒng)分析與規(guī)范一致性百分比處置記錄表(3個(gè)丈量者)零件號(hào)丈量次數(shù)丈量結(jié)果規(guī)范與規(guī)范一致的丈量次數(shù)ABCABC110000

46、000200000002101000102000000031111100021111000410000000200000005110110102100101161111100020011110711100110211001108110000002000000091100000020010001101000000021000100111110100121101001121000000020000000131000000020000000141000000020100010151010110121101011161101101021011010171000000020000000181000000

47、020010001續(xù)表零件號(hào)丈量次數(shù)丈量結(jié)果規(guī)范與規(guī)范一致的丈量次數(shù)ABCABC191101101021111000201111100021011000211000000020000000221111100020111100231000000020000000241111100021101001251000000020000000261111100021111000271100010021000100281000000020000000291111100021111000301110100120111100與規(guī)范一致的丈量次數(shù)合計(jì)514851%與規(guī)范一致性(丈量的準(zhǔn)確度)=與規(guī)范一致的丈量次數(shù)

48、(按操作者分別比較)/各操作者丈量的總次數(shù)=各操作者丈量的總次數(shù)=零件數(shù)n*各操作者對(duì)同一零件反復(fù)丈量的次數(shù)=2分布的分位數(shù)表dx20.005x20.01x20.025x20.05x20.10 x20.90 x20.95x20.975x20.99x20.99510.0000390.000160.000980.00390.01582.713.845.026.637.8820.01000.02010.05060.10260.21074.615.997.389.2110.6030.07170.1150.2160.3520.5846.257.819.3511.3412.8440.2070.2970.4

49、840.7111.0647.789.4911.1413.2814.8650.4120.5540.8311.151.619.2411.0712.8315.0916.7560.6760.8721.241.642.2010.6412.5914.4516.8118.5570.9891.241.692.172.8312.0214.0716.0118.4820.2881.341.652.182.733.4913.3615.5117.5320.0921.9691.732.092.703.334.1714.6816.9219.0221.6723.59102.162.563.253.944.8715.9918.

50、3120.4823.2125.19112.603.053.824.575.5817.2819.6821.9224.7326.76123.073.574.405.236.3018.5521.0323.3426.2228.30133.574.115.015.897.0419.8122.3624.7427.6929.82144.074.665.636.577.7921.0623.6826.1229.1431.32154.605.236.267.268.5522.3125.0027.4930.5832.80165.145.816.917.969.3123.5426.3028.8532.0034.271

51、86.267.018.239.3910.8625.9928.8731.5334.8137.16207.438.269.5910.8512.4428.4131.4134.1737.5740.00249.8910.8612.4013.8515.6633.2036.4239.3642.9845.563013.7914.9516.7918.4920.6040.2643.7746.9850.8953.674020.7122.1624.4326.529.0551.8155.7659.3463.6966.776035.5337.4840.4843.1946.4674.4079.0883.3088.3891.

52、9512083.8586.9291.5795.70100.62140.23146.57152.21158.95163.64t分布的分位數(shù)表dt0.60t0.70t0.80t0.90t0.95t0.975t0.99t0.99510.3250.7271.3763.0786.31412.70631.82163.65720.2890.6171.0611.8862.9204.3036.9659.92530.2770.5840.9781.6382.3533.1824.5415.84140.2710.5690.9411.5332.1322.7763.7474.60450.2670.5590.9201.476

53、2.0152.5713.3654.03260.2650.5530.9061.4401.9432.4473.1433.70770.2630.5490.8961.4151.8952.3652.9983.49980.2620.5460.8891.3971.8602.3062.8963.35590.2610.5430.8831.3830.8332.2622.8213.250100.2600.5420.8971.3721.8122.2282.7643.169110.2600.5400.8761.3631.7962.2012.7183.106120.2590.5390.8731.3561.7822.179

54、2.6813.055130.2590.5380.8701.3501.7712.1602.6503.012140.2580.5370.8681.3451.7612.1452.6242.977150.2580.5360.8661.3411.7532.1312.6022.947160.2580.5350.8651.3371.7462.1202.5832.921170.2570.5340.8631.3331.7402.1102.5672.898180.2570.5340.8621.3301.7342.1012.5522.878190.2570.5330.8611.3281.7292.0932.5392

55、.861200.2570.5330.8601.3251.7252.0862.5282.861210.2570.5320.8591.3231.7212.0802.5182.831220.2560.5320.8581.3211.7172.0742.5082.819230.2560.5320.8581.3191.7142.0692.5002.807240.2560.5310.8571.3181.7112.0642.4922.797250.2560.5310.8561.3161.7082.0602.4852.787260.2560.5310.8561.3151.7062.0562.4792.77927

56、0.2560.5310.8551.3141.7032.0522.4732.771280.2560.5300.8551.3131.7012.0482.4672.763290.2560.5300.8541.3111.6992.0452.4622.756300.2560.5300.8541.3101.6972.0422.4572.750400.2550.5290.8511.3031.6842.0212.4232.704600.2540.5270.8481.2961.6712.0002.3902.6601200.2540.5260.8451.2891.6581.9802.3582.6170.2530.

57、5240.8421.2821.6451.9602.3262.576F分布的0.95分位數(shù)F0.95(n1,n2)表 n1n212345678910121520243040601201161.4199.5215.7224.6230.2234.0236.8238.9240.5241.9243.9245.9248.0249.1250.1251.1252.2253.3254.3218.5119.0019.1619.2519.3019.3319.3519.3719.3819.4019.4119.4319.4519.4519.4619.4719.4819.4919.50310.139.559.289.12

58、9.018.948.898.858.818.798.748.708.668.648.628.598.578.558.5347.716.946.596.396.266.166.096.046.005.965.915.565.805.775.755.725.695.665.6356.615.795.415.195.054.954.884.824.774.744.684.624.564.534.504.464.434.404.3665.995.144.764.534.394.284.214.154.104.064.003.943.873.843.813.773.743.703.6775.594.74

59、4.354.123.973.873.793.733.683.643.573.513.443.413.383.343.303.273.2385.324.464.073.843.693.583.503.443.393.353.283.223.153.123.083.043.012.972.9395.124.263.863.633.483.373.293.233.183.143.073.012.942.902.862.832.792.752.71104.964.103.713.483.333.223.143.073.022.982.912.852.772.742.702.662.622.582.54

60、114.843.983.593.363.203.093.012.952.902.852.792.722.652.612.572.532.492.452.40124.753.893.493.263.113.002.912.852.802.752.692.622.542.512.472.432.382.342.30134.673.813.413.183.032.922.832.772.712.672.602.532.462.422.382.342.302.252.21144.603.743.343.112.962.852.762.702.652.602.532.462.392.352.312.27