[品质管理]统计过程控制(SPC第二版)(pdf 147页)

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SPC1-punppcu9SX-MRX-sX-RX-RSPC2H()()1()-XR-XsXMR()()pnpu12()()()()()H3SPC()45SPC36AIAG(MSA)SPC41?(2)?(3)?(4)??(5)??(6)??(7)?(8)GSPC5SPC62(SPC)1(1)2(3()()()4.(5)SPC7SPC832()()()()()()()(2)()()()()()SPC9()(5)SPC1015854*1585()()**SPC115SPC12()()(3)()()()()2541324()1234SPC133(25)()1)2)CpCpk(5)()(22)SPC145SPC15SPC1663(4)1?????????()(FMEA)2()3SPC17HSPC18SPC197Walter(5)(A)1()2()3SPC20(=X)(5)SPC218(B)()()()SPC22CI0_____()(_X)(GR&R)SPC23SPC24_XR(6)12(16.45mm)()34.5()()_XR_XR()1_XR_Xs(R)()4()SPC251(_XR)_XR()()(H24)(Pareto)(SPC26)()()()_XRSPC27ASPC28_XR25(15)A1(7)a45()()C1aC4cb()c10025ASPC29SPC30A2(8)_XRXR_XR(_X)(R)A3(_X)(R)(8)(_X)(R)_X=x1+x2++xnnRXXX1X2nSPC31A4(9)SPC32XRX(X)2R0(R)2R2(10.0110.02)A5(9)-XR()SPC33B.SPC34nEB.1_R=X10R=R1+R2+RKKX=X1+X2+XKK:KR1X11R2XK2B.210UCLR=D4RLCLR=D3RUCLX=X+A2RLCLX=X-A2RD4D3A2E210n2345678910D4327257228211200192186182178D3*****008014018022A2188102073058048042037034031*7LCLR66B.310R=XUCLRLCLRUCLXLCLXSPC35SPC36C(R=X)(R)(X)RXC1Ra(u)(c2)()()(7)()()SPC37b.(12)7SPC387()()()()(n)(5)R8SPC39SPC40c(13)()()()()R231323R(2590)()*()23R(254040)()***ASPC41C2()(14)SPC42(H11)C3()(14)(R)RXR=XA2R()SPC43SPC44C4-Xa(15)(39)()()SPC45SPC46b.(16)77()SPC47SPC48c(17)13120()1150997323(2590)23(254040)*(**)**A**BSPC49SPC50C5()(18)(45C2)(H11)C6()(18)H713SPC51SPC52C7(19)()(22)-XRa(ô)ô_Rd2R()d2Eb.d2D3D4A2_Rôd2UCLRD4_RLCLRD3_RUCLx=X+A2_RLCLx=XA2_R()C8(H722022l)n2345678910d2113169206233253270285297308SPC53SPC54()()D18(20)xR()(25)(H927)(H142)=X_RSPC55SPC56(1)(2)(3)()D1Rôô_Rd2ô_R/d2_R()d2Eô_R/d2D221zxô_R/d2ZZ=USL-=XZ==X-LSL()ô_R/d2ô_R/d2SL==X=ô_R/d2=ZUSL=USL-=XZLSL==X-LSLô_R/d2ô_R/d2Zmin=ZUSLZLSLUSL,LSL=ZZFFZZZPZZ=1.561.5x.x6PZ=0.05946n2345678910d2113169206233253270285297308SPC57ZUsL=221ZLSLSPC58-285PZUSL+PZLSL0.0136+0.00220.015816ZMINCpKCPK=ZMIN=CPU(USL-=X)CPL(=X-LSL)33ô_R/d23ô_R/d2USLLSLôRd2ZMIN=3Cpk100ZMIN4Cpk=1.33D3(22)ZminCpkZMIN3Cpk1.00ZMIN4Cpk1.33Cpk5();()SPC59D4H(H11)H713D525()SPC60SPC612(-Xs)-XR-Xs(9)ssRss-Xs-XRA.(1A)(23)-XsS=ΣXi-X2n-1S=ΣX2in-X2ΣX2121+X22++X21n-X2n-1n-1:Xi-Xn-Xs-XSPC62SPC63B(24)(1B)(UCLsLCLsUCLxLCLx)UCLsB4SUCLx=X+A3SLCLsB3SLCLx=X-AsSSB+BAE210N2345678910B43.272.572.272.091.971.881.821.761.72B3****0.030.120.190.240.28As2.661.951.631.431.291.181.101.030.986C.(1C)D.(1D)ôSC4ôSC4S()C4E210C4N2345678910C40.7980.8860.9210.9400.9520.9590.9650.9690.973SPC64SPC653(XR)(25)-XR()-XRA.(1A)10(a)(b)152()(X)(R)B.(1B)-X_R(UCLRLCLRUCL-XLCL-X)UCLR=D4_RLCLR=D3_RUCLX=X+A2_RLCLX=XA2_RSPC66SPC67D4D3-AE210C.(1C)UCLRLCLR(23)(26)D.(1D)ô_R/d2_R()d2E210d2E.n2345678910D4327257228211200192186182178D3*****008014018022X21881190800690550510430410367n2345678910d21.131.692.062.332.532.702.852.973.08SPC68(20)()SPC69SPC704(XMR)0()(pH)4-XR(24)-XR=Xô()100-XRA(27)(1A)(X)(MR)()(2524)(34)()(234)n(X)(a)(b)152(MR)XB.(28)(lB)(=XG)(_R)2(MR)1SPC71SPC72UCLMRD4_RLCLMRD3_RUCLX==XE2_RLCLX==XE2_RRXD4D3E2ERR()2(H23)UCLMR=3.865_R;LCLMR=0UCLx==X+3.14RLCLx==X3.14RC(28)(lC)XD.(1D)-XRô_R/d2ô_R/d2_Rd2nEn2345678910D43.272.572.282.1l2.001.921.861.821.78D3*****0.080.140.180.22E22.661.771.461.291.181.111.051.010.98SPC735()()()(H17)CpPpCPUCPLCpkPpkCRPRDH16CpmCpmAn2345678910d2113169206233253270285297308SPC74_R/d2(–SC4)SS=ΣΣXi-X2i=1n-1=ôsXi,-Xn6ơ_R/d2(ô_R/d2),6Sôs.BB1CpCp=USL-LSL6ô_R/d2PpPp=USL-LSL(CpCpkCpCpk6ôs)CPUCPU=USL-=X6ô_R/d2CPLCPL==X-LSL3ô_R/d2CpkCpuCplPpkUSL-=X=X-LSL3ôs3ôsSPC75(CpCpk)B2CRCpCR1=6ô_R/d2CpUSL-LSLPRPpPR16ôsPpUSL-LSL58B3ssS(AB)s(65-Xs)Ss(Xi-X)2;ni=1n-1s(79)n()s(65)nn()sss(6567)CCpkPpk(Cpk)()(80)(B),BSPC76()()(Cpk1.40Cpk1.05)H19202lSPC77DSPC78()CpkCpk(H1418)D1()()()(29(a))()29(b)()()SPC79SPC80D212(16)(30(a))30(a)30(b)()30(c)()()30(e)(H22)()4530(d)()D3CCpCpkPpPpkCRCpkPRPpk30ô_R/d2ôs(ô_R/d2ôs)(CpCpk)SPC81SPC82SPC83()(31)()()()(1)(2)(3)1(13)(H)1p()2()3c()4u()pSPC84lpp()75()()()p()()SPC85()()(29)pSPC86SPC87A.A.1(32)a(50200)(n-P5)25-Pbc25A232)nnppnpnA3(32)()0152A.4(32)pSPC88SPC89BB1(-p)(33)15-p=n1p1+n2p2++nkpkn1+n2++nkn1p1n2p2n1n2(pl00)(p)B2(UCLLCL)(331)KUCLP=-p+3-p(1-P)/NLCLP=-p-3-p(1-P)/Nn-pnLCLpoB3(331)(-p)(UCLLCL)SPC90SPC91()()25()(-n)UCLp,LCLp=-p3-p(1-P)/-n.()25UCLpLCLp-p3-p(1--p)/n=-p3-p(1--p)/n:nn(33)SPC92SPC93C—C1(34)a()()()()(n-p)(9)p-Xn-p(5)SPC94SPC95b(35)n-p77()(7)()n-p(5)-p8SPC96SPC97SPC98c(36)()n-p23l3l20()23(2590)()()23(2540)()SPC99C2(37)SPC100(H11)C3(37)BB1B2n-nH612SPC101D()p()()()()(6ô_R/d2)D.1pp-(1--p)25p-D2(-p00312312(9688)1003()SPC102)D3()(H11)(XR)D4SPC103SPC104262np.c)2543365075412363844464237(p.u)3-11234567891011121314151617181920212223242538np--n#pcnpu02468101214161820=4.04UCL=9.87LCL=-62/1/pnUCL=101/25=4.04UCL,LCL=4.04±3=4.04±5.83=9.87,-pn)6204.41(04.4−SPC105npnp(38)()pnppnp(a)(b)nppA.(A)(np)B(1B)(n-p)n-p=np1+np2++npkKnp1np2K(UCLLCL)UCLnp=n-p+3n-p(1-np)=n-p+3n-p(1--p)nLCLnp=n-p3n-p(1-np)=n-p3n-p(1--p)nnC(1C)D(1D)npp-pSPC10631np.c)915118171151113710124372336279158(p.u)11-91234511-1012311-161234511-17123411-181234511-191235)39cpcnpun#11-162:15PM02468101214161820=7.56UCL=15.81LCL=-UCL=189/25=7.56UCL,LCL=7.56±3=7.56±8.25=15.81,-c56.7cSPC107cC(39)()(np)C()(lOOm2)()cpA(1A)()C(C)(n)(c)B(1B)(-C)-C=C1+C2K++CKKc1,c2k)(UCLcLCLc)UCLc=-C+3-C
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