质量管理作业.docx

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 见下一页表格UCLx=X+A2R=10.075+0.729*6.433=14.765CLx=X=10.075LCLx=X -A2R=10.075-0.729*6.433=5.385 D4=2.282 D3=0 A2=0.729UCLr=D4R=2.282*6.433= 14.681CLr=R=6.433LCLr=D3*R=0*6.433=0X图CL=10.075LCL=5.385UCL=14.765CL=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R6.709677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。XR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=6080/45389=0.134 当n=2405 UCL=p+3p(1-p)/n=0.134+30.134(1-0.134)/n=0.155CL=p=0.134LCL=p-3p(1-p)/n=0.134-30.134(1-0.134)/n=0.113 以此类推样本序号样本大小n样本不合格品数D不合格品率pp图的UCLp图的LCL124052300.096 0.155 0.113 226144360.167 0.154 0.114 320132210.110 0.157 0.111 422003460.157 0.156 0.112 523062350.102 0.155 0.113 622783270.144 0.155 0.113 723112850.123 0.155 0.113 824603110.126 0.155 0.113 921873420.156 0.156 0.112 1020673080.149 0.156 0.112 1121532940.137 0.156 0.112 1223152670.115 0.155 0.113 1325004560.182 0.154 0.114 1424433940.161 0.155 0.113 1521702850.131 0.156 0.112 1622543310.147 0.156 0.112 1720121980.098 0.157 0.111 1825174140.164 0.154 0.114 1919951310.066 0.157 0.111 2021892690.123 0.156 0.112 小计4538960800.133 0.139 0.129 P图CL=0.1342) p=0.134, nmin=1995 ,nmax=2614当K=3，n=1990 D=np+Knp(1-p)=1990*0.134+31990*0.134(1-0.134)=312.249 以此类推KDk,nn1990205021102170223022903312.249320.971329.683338.386347.080355.7652297.053305.547314.036322.517330.993339.4630266.660274.700282.740290.780298.820306.860-1251.464259.276267.092274.911282.733290.558-2236.267243.853251.444259.043266.647274.257-3221.071228.429235.797243.174250.560257.955KDk,n n2350241024702530259026503364.441373.110381.770390.424399.069407.7082347.927356.386364.840373.289381.733390.1721331.414339.663347.910356.155364.396372.6360314.900322.940330.980339.020347.060355.100-1298.386306.217314.050321.885329.724337.564-2281.873289.494297.120304.751312.387320.028-3265.359272.770280.190287.616295.051302.492对应的npT图UCLCLLCL3210-1-2-3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,标准差s=0.06,求过程能力指数及不合格品率？解：M=Tu+TL2=50.3+49.92=50.150.05, M与 X 不重合K=2x-MT=2*(50.05-50.1)50.3-49.9=0.25 Cp=Tu