30韦伯分布可靠度评估技术

??????? ??????????? ??? ?? ?????????????? 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei i 1999/10/11 ??????????? ? ? 1 ?? ........................................................................................................................................1 2 ???? ................................................................................................................................1 3 ???? ................................................................................................................................3 3.1 ????????(BLUE) .............................................................................................3 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei 1 1999/10/11 ??????????? 1 ?? ???????????????????????????????????? ????????? 2 ???? ?????W. Weibull??????????????????????????? wei(t?m, ?)????????fT(t)???????FT(t)??????R(t)?????? ?h(t)???????? ( )f t m t t t mT m m = æ èç ö ø÷ - æ èç ö ø÷ é ë ê ê ù û ú ú < < ¥ < < - h h h h 1 0 0exp , , , (1) ( )F t tT m = - - æ èç ö ø÷ é ë ê ê ù û ú ú 1 exp h (2) [ ] ( ) ( ) [ ] [ ]23.10,87.9 18.005.10,18.005.10 n zx, n zx, 2121UL = +-= úû ù êë é s + s -=mm g+g+ (3) ????????????? ( ) ( )( )h t f t R t m tT m = = æ èç ö ø÷ - h h 1 (4) m??????????????????????????????m?1??? ???????????fT(t)?R(t)??????????m?1??????????? ?????????????????????m?1??????????????? ??????????m?2???????fT(t)?????????m?4?????? ???????fT(t)????????????m???????????????? ?????????????????????????????????????? ?????????????????????????????1?m?0.25?1?2?4? ??1??fT(t)?R(t)?h(t)? 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei 2 1999/10/11 ???????????????????????????????????? ????????????????????????????????????? ?????????????????????????????????????? ?????????????????????????????????????? ?????????????? ? 1? ???????1?????????????????????? 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei 3 1999/10/11 ???????????????? [ ] ( )E T t f t dt m T= = +æ èç ö ø÷ ¥ ò0 1 1hG (5) [ ] ( )V T t f t dt m m T= = +æèç ö ø÷ - + æ èç ö ø÷ ì í î ü ý þ ¥ ò 20 2 21 2 1 1 h G G (6) ????????(characteristic life)??????????t????????37 %? ?????????????? ?m??1??????[1?1/m]?1??? m h» ???????????????????????????????????? ?????????????????????????????????????? ?????????????????????????????????????? ?????????????????????????????????????? ( ) ú ú û ù ê ê ë é ÷÷ø ö ççè æ V-h V- -÷÷ø ö ççè æ V-h V- V-h = - m1m T t exp tm tf (7) ???????????????????????????? 3 ???? 3.1 ????????(BLUE) ???????? T ???????????????? ( ) 0t,texp1tF m T > ú ú û ù ê ê ë é ÷÷ø ö ççè æ h --= ?????? 0>h ?????????? 0m > ? 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei 4 1999/10/11 ??????h? m???????????? T ???????? TlnX = ?? ????????????????????? X??????????????? ( ) +¥<<¥-ú û ù ê ë é ÷ ø öç è æ s m---= x,xexpexp1xFX ??????m?????s ??????????h????? m??????? m 1 ln =s h=m ????? X??????????????? Y? s m-= XY ? Y????????????????????? ( ) ( )[ ] +¥<<¥---= y,yexpexp1yFY ????????????????? n?????? r ??????????? ?????????????-???????????????????????? ( )å = =m r 1k kXk,r,nDˆ ( )å = =s r 1k kXk,r,nCˆ ?? ( )k,r,nD ? ( )k,r,nC ??????????????????????????? ??????? n?r?k ????????????? 1 ????????????? ?????????????????????????????? ( ) s = m=h ˆ 1 mˆ ˆexpˆ 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei 5 1999/10/11 ?? 1??????????????? n r k D(n,r,k) C(n,r,k) n r k D(n,r,k) C(n,r,k) 2 2 1 0.0836 -0.7213 7 2 1 -1.3383 -0.9267 2 0.9164 0.7213 2 2.3383 0.9267 3 1 -0.4036 -0.4550 3 2 1 -0.3777 -0.8221 2 -0.3012 -0.4056 2 1.3777 0.8221 3 1.7048 0.8605 3 1 0.0880 -0.3747 4 1 -0.1463 -0.2940 2 0.2557 -0.2558 2 -0.0941 -0.2760 3 0.6563 0.6305 3 -0.0071 -0.2102 4 1.2475 0.7802 4 2 1 -0.7063 -0.8690 5 1 -0.0393 -0.2110 2 1.7063 0.8690 2 -0.0044 -0.2065 3 1 -0.0801 -0.4144 3 0.0458 -0.1691 2 0.0604 -0.3259 4 0.1134 -0.0992 3 1.0197 0.7403 5 0.8844 0.6858 4 1 0.0714 -0.2488 6 1 0.0137 -0.1587 2 0.1537 -0.2239 2 0.0418 -0.1609 3 0.2639 -0.0859 3 0.0757 -0.1396 4 0.5110 0.5586 4 0.1176 -0.0951 5 0.1721 -0.0176 5 2 1 -0.9599 -0.8963 6 0.5791 0.5719 2 1.9599 0.8963 7 1 0.0418 -0.1201 3 1 -0.2101 -0.4343 2 0.0673 -0.1259 2 -0.0860 -0.3642 3 0.0937 -0.1149 3 1.2961 0.7986 4 0.1232 -0.0873 4 1 -0.0154 -0.2730 5 0.1586 -0.0362 2 0.0520 -0.2499 6 0.2063 0.0607 3 0.1521 -0.1491 7 0.3090 0.4237 4 0.8113 0.6721 5 1 0.0584 -0.1845 8 2 1 -1.4869 -0.9361 2 0.1088 -0.1817 2 2.4869 0.9361 3 0.1676 -0.1305 3 1 -0.4794 -0.4616 4 0.2463 -0.0065 2 -0.3848 -0.4180 5 0.4189 0.5031 3 1.8642 0.8790 4 1 -0.1977 -0.2998 6 2 1 -1.1656 -0.9141 2 -0.1502 -0.2837 2 2.1656 0.9141 3 -0.0685 -0.2275 3 1 -0.3154 -0.4466 4 1.4164 0.8109 2 -0.2034 -0.3886 5 1 -0.0781 -0.2172 3 1.5188 0.8353 2 -0.0474 -0.2128 4 1 -0.0865 -0.2859 3 -0.0001 -0.1803 2 -0.0281 -0.2655 4 0.0637 -0.1225 3 0.0649 -0.1859 5 1.0619 0.7328 4 1.0496 0.7372 6 1 -0.0172 -0.1661 5 1 0.0057 -0.2015 2 0.0065 -0.1675 2 0.0466 -0.1973 3 0.0380 -0.1483 3 0.1002 -0.1536 4 0.0780 -0.1105 4 0.1723 -0.0646 5 0.1292 -0.0500 5 0.6752 0.6170 6 0.7655 0.6424 6 1 0.0489 -0.1458 7 1 0.0168 -0.1303 2 0.0835 -0.1495 2 0.0376 -0.1348 3 0.1211 -0.1267 3 0.0612 -0.1238 4 0.1656 -0.0732 4 0.0888 -0.0991 5 0.2255 0.0360 5 0.1225 -0.0571 6 0.3554 0.4593 6 0.1655 0.0109 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei 6 1999/10/11 ?? 1??????????????? n r k D(n,r,k) C(n,r,k) n r k D(n,r,k) C(n,r,k) 8 7 7 0.5076 0.5343 10 2 1 -1.7333 -0.9491 8 1 0.0365 -0.1019 2 2.7333 0.9491 2 0.0561 -0.1081 3 1 -0.6047 -0.4693 3 0.0759 -0.1027 2 -0.5223 -0.4351 4 0.0971 -0.0872 3 2.1270 0.9044 5 0.1212 -0.0589 4 1 -0.2827 -0.3073 6 0.1502 -0.0111 2 -0.2421 -0.2941 7 0.1894 0.0758 3 -0.1691 -0.2406 8 0.2735 0.3942 4 1.6938 0.8520 5 1 -0.1426 -0.2251 9 2 1 -1.6173 -0.9434 2 -0.1175 -0.2210 2 2.6173 0.9434 3 -0.0748 -0.1953 3 1 -.05458 -0.4656 4 -0.0174 -0.1523 2 -0.4577 -0.4275 5 1.3523 0.7937 3 2.0035 0.8932 6 1 -0.0690 -0.1748 4 1 -0.2427 -0.3040 2 -0.0506 -0.1754 2 -0.1990 -0.2895 3 -0.0226 -0.1596 3 -0.1219 -0.2405 4 0.0141 -0.1308 4 1.5639 0.8340 5 0.0602 -0.0883 5 1 -0.1123 -0.2217 6 1.0680 0.7290 2 -0.0847 -0.2174 7 1 -0.0261 -0.1406 3 -0.0398 -0.1887 2 -0.0109 -0.1437 4 0.0206 -0.1394 3 0.0095 -0.1340 5 1.2161 0.7673 4 0.0348 -0.1143 6 1 -0.0446 -0.1712 5 0.0659 -0.0838 2 -0.0239 -0.1720 6 0.1041 -0.0402 3 0.0057 -0.1547 7 0.8227 0.6565 4 0.0440 -0.1220 8 1 0.0006 -0.1153 5 0.0925 -0.0721 2 0.0143 -0.1198 6 0.9264 0.6920 3 0.0305 -0.1142 7 1 -0.0058 -0.1364 4 0.0493 -0.1006 2 0.0118 -0.1400 5 0.0714 -0.0785 3 0.0336 -0.1297 6 0.0979 -0.0460 4 0.0600 -0.1076 7 0.1307 0.0009 5 0.0922 -0.0723 8 0.6054 0.5735 6 0.1325 -0.0194 9 1 0.0178 -0.0953 7 0.6757 0.6055 2 0.0309 -0.1005 8 1 0.0178 -0.1102 3 0.0446 -0.0978 2 0.0340 -0.1154 4 0.0596 -0.0886 3 0.0516 -0.1097 5 0.0763 -0.0727 4 0.0714 -0.0950 6 0.0957 -0.0486 5 0.0943 -0.0700 7 0.1188 -0.0129 6 0.1218 -0.0312 8 0.1481 0.0415 7 0.1569 0.0292 9 0.4082 0.4749 8 0.4523 0.5024 10 1 0.0289 -0.0779 9 1 0.0323 -0.0884 2 0.0417 -0.0836 2 0.0480 -0.0944 3 0.0542 -0.0828 3 0.0634 -0.0920 4 0.0670 -0.0770 4 0.0796 -0.0827 5 0.0806 -0.0661 5 0.0972 -0.0656 6 0.0956 -0.0487 6 0.1174 -0.0380 7 0.1129 -0.0222 7 0.1418 0.0065 8 0.1338 0.0192 8 0.1749 0.0852 9 0.1623 0.0912 9 0.2455 0.3692 10 0.2229 0.3478 中国可靠性网 http://www.kekaoxing.com ??????? ??????????? HLP:rst-wei 7 1999/10/11 n a\ 0.99 0.95 0.90 0.80 0.50 0.20 0.10 0.05 0.01 n a\ 1 0.03157 0.02393 0.0158 0.0642 0.455 1.642 2.706 3.841 3.626 1 2 0.0201 0.103 0.211 0.446 1.386 3.219 4.605 5.991 9.210 2 3 0.115 0.352 0.584 1.005 2.366 4.642 6.251 7.815 11.345 3 4 0.297 0.711 1.064 1.649 3.357 5.989 7.779 9.488 12.277 4 5 0.554 1.145 1.610 2.343 4.351 7.289 9.236 11.070 15.068 5 6 0.872 1.635 2.204 3.070 5.348 8.558 10.645 12.592 16.812 6 7 1.239 2.167 2.833 3.822 6.346 9.803 12.017 14.067 18.475 7 8 1.646 2.733 3.490 4.594 7.344 11.030 13.362 15.507 20.090 8 9 2.088 3.325 4.168 5.380 8.343 12.242 14.634 16.919 21.666 9 10 2.558 3.940 4.865 6.179 9.342 13.442 15.987 18.307 23.209 10 11 3.053 4.575 5.578 6.989 10.341 14.631 17.275 19.675 24.725 11 12 3.571 5.226 6.304 7.807 11.340 15.812 18.549 21.026 26.217 12 13 4.107 5.892 7.042 8.634 12.340 16.985 19.812 22.362 27.688 13 14 4.660 6.571 7.790 9.467 13.339 18.151 21.064 23.635 29.141 14 15 5.229 7.261 8.547 10.307 14.339 19.311 22.307 24.996 30.578 15 16 5.812 7.962 9.312 11.152 15.338 20.465 23.542 26.296 32.000 16 17 6.408 8.672 10.85 12.002 16.338 21.615 24.769 27.587 33.409 17 18 7.015 9.390 10.865 12.857 17.338 22.760 25.989 28.869 34.805 18 19 7.633 10.117 11.651 13.716 18.338 23.900 27.204 30.144 36.191 19 20 8.260 10.851 12.443 14.578 19.337 25.038 28.412 31.410 37.566 20 21 8.897 11.591 13.240 15.445 20.337 26.171 29.615 32.671 38.932 21 22 9.542 12.338 14.041 16.314 21.337 27.301 30.813 33.924 40.289 22 23 10.196 13.091 14.848 17.187 22.337 28.429 32.007 35.172 41.638 23 24 10.856 13.848 15.659 18.062 23.337 29.553 33.196 36.415 42.980 24 25 11.524 14.611 16.473 18.940 24.337 30.675 34.382 37.652 44.314 25 26 12.198 15.379 17.292 19.820 25.336 31.795 35.563 38.885 45.642 26 27 12.879 16.151 18.114 20.703 26.336 32.912 36.741 40.113 46.963 27 28 13.565 16.928 18.939 21.588 27.336 34.027 37.916 41.337 48.278 28 29 14.256 17.708 19.768 22.475 28.336 35.139 39.087 42.557 49.588 29 30 14.953 18.493 20.599 23.364 29.336 36.250 40.256 43.773 50.892 30 40 22.164 26.509 29.051 32.352 39.335 37.263 51.805 55.758 63.391 40 60 37.485 43.188 46.459 50.647 59.335 68.969 74.397 79.082 88.379 60 80 53.540 60.391 64.278 69.213 79.334 90.403 96.578 101.879 112.329 80 100 70.065 77.929 82.358 87.950 99.334 111.667 118.498 123.342 135.807 100 200 156.432 168.279 174.835 183.006 199.333 216.618 226.021 233.994 249.445 200 aZ -2.33 -1.64 -1.28 -0.84 0.00 0.84 1.28 1.64 2.32 aZ ??????? ( ) ( )22 12Z 2 1 -n+@nc aa ??? ( ) ( ) 487.2016028.1 2 1 30 22 90.0 =-+-@c ( )22f cc g g-1 ( )nc2( )( )nc g-21 ?? 2: ???????? ( ){ } g-=c³c g- 1Pr 212 中国可靠性网 http://www.kekaoxing.com