质量管理作业

精选优质文档-----倾情为你奉上精选优质文档-----倾情为你奉上专心---专注---专业专心---专注---专业精选优质文档-----倾情为你奉上专心---专注---专业质量管理作业活塞环直径的频率分布表[3-6](1)生产异常准则6：连续5点中有4点落在中心线同一侧的c区以外（2）生产异常。准则7：连续15点在c区中心线上下（3）生产异常。准则1:1点落在A区以外准则5：连续3点中有2点落在中心线同一侧的B区以外准则6：连续5点有4点落在中心线同一侧C区以外（4）生产异常。准则2：连续9点落在中心线同一侧准则5：连续3点中有2点落在中心线同一侧的B区以外准则6：连续5点中有4点落在中心线同一侧C区以外（5）生产稳定。判稳准则1：连续25个点子都在控制界限以内[3-9][3-9]见下一页表格UCLx=X+A2R=10.075+0.729*6.433=14.765UCLx=X+A2R=10.075+0.729*6.433=14.765CLx=X=10.075LCLx=X-A2R=10.075-0.729*6.433=5.385UCLr=D4R=2.282*6.433=14.681CLr=R=6.433LCLr=D3*R=0*6.433=0X图CL=X图CL=10.075LCL=5.385UCL=14.765CL=6.433R图UCL=CL=6.433R图UCL=14.681样本序号x1x2x3x4样本均值X样本极差R169101510921046117.7573781057.554897139.25659106149.75861211101010.752716108910.758875946.25599710129.5510151681313811812141612.58126139119.75713713101210.5614713101210.56151171016119161510111412.55179812109.75418157101110.75819869128.756201415121614.2542198131210.55225710149923610151110.5924812111010.254251013979.756267141089.757275139129.75828121110910.5329713868.573041013999样本总均值X10.07515平均样本极差R6.结论：如图所示，根据判稳准则1，X图和R图都处于控制状态，所以过程处于控制状态。X—R控制图的控制线可加以延长，作为控制用控制图供日常管理之用。[3-15](1)p=i=120D/i=120n=6080/UCL=p+3p(1-p)/n=0.134+3CL=p=0.134LCL=p-3p(1-p)/n=0.134-30.134样本序号样本大小n样本不合格品数D不合格品率pp图的UCLp图的LCL124052300.0960.1550.113226144360.1670.1540.114320132210.1100.1570.111422003460.1570.1560.112523062350.1020.1550.113622783270.1440.1550.113723112850.1230.1550.113824603110.1260.1550.113921873420.1560.1560.1121020673080.1490.1560.1121121532940.1370.1560.1121223152670.1150.1550.1131325004560.1820.1540.1141424433940.1610.1550.1131521702850.1310.1560.1121622543310.1470.1560.1121720121980.0980.1570.1111825174140.1640.1540.1141919951310.0660.1570.1112021892690.1230.1560.112小计4538960800.1330.1390.129PP图CL=CL=0.1342)p=0.134,nmin=1995,nmax=2614当K=3，n=1990D=np+Knp(1-p)KDk,nnK1990205021102170223022903312.249320.971329.683338.386347.080355.7652297.053305.547314.036322.517330.993339.4630266.660274.700282.740290.780298.820306.860-1251.464259.276267.092274.911282.733290.558-2236.267243.853251.444259.043266.647274.257-3221.071228.429235.797243.174250.560257.955KDk,nnK2350241024702530259026503364.441373.110381.770390.424399.069407.7082347.927356.386364.840373.289381.733390.1721331.414339.663347.910356.155364.396372.6360314.900322.940330.980339.020347.060355.100-1298.386306.217314.050321.885329.724337.564-2281.873289.494297.120304.751312.387320.028-3265.359272.770280.190287.616295.051302.492对应的对应的npT图UCLCLUCLCLLCL3210-1-2-3结论：由于P图第1,2,3,4,5,9,13,14,17,18,19个样本的点子出界，所以过程失控。由于npt图的第1,2,3,4,5,9，13,14，17,18,19点，超过控制界限，所以过程失控。有两个图可知，npt图和p图的形状大致一致，但npt图的控制界限为直线而且所得结果是精确的，要方便得多。（5）已知某零件尺寸要求为50-0.1+0.3mm,取样实际测定后求得X=50.05mm,解：M=Tu+TL2=50.3+49.92=50.1‡50.05,M与K=2x-MT=2*(50.05-50.1)50.3-49.9=0.25Cp=Cpk=Cp(1-K)=1.111*(1-0.25)=0.8331.0<Cpk≤0.67所以过程能力不足由于X<M,分布向TL偏移，PL=1-Φ(3Cp(1+K))=1-Φ(3*1.389)=1-Φ(4.167)=0Pu=1-Φ(3Cp(1-K))=1-Φ(3*0.833)=1-P=PL+Pu=0+