ELEMENTOS FINITOS-PLANTILLA METODOS MATRICES2

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PLANTILLA PARA MATRICES - METODO JACOBI, SEIDEL Y GAUSS JORDAN

Transcript of ELEMENTOS FINITOS-PLANTILLA METODOS MATRICES2

  • METODO DE JACOBIx1 x2

    0 0 01 0.6 2.27272727272 1.04727273 1.71590909093 0.93263636 2.0533057851

    X= 0 4 1.01519876 1.95369576450 5 0.9889913 2.01141472580 6 1.00319865 1.99224126070 7 0.99812847 2.0023068816

    8 1.00062513 1.99867030119 0.99967415 2.0004476715

    10 1.0001186 1.99976794711 0.99994242 2.000084774612 1.00002214 1.999958962713 0.99998973 2.000015816414 1.00000409 1.999992675415 0.99999816 2.000002923716 1.00000075 1.999998684417 0.99999967 2.000000537318 1.00000014 1.999999762719 0.99999994 2.000000098420 1.00000003 1.999999957121 0.99999999 2.000000018

    1 1.99999999221 2.00000000331 1.99999999861 2.00000000061 1.99999999971 2.00000000011 21 21 21 21 21 21 2

    x1 x2 x30 0 0 01 1.2 -3 22 1.205 -2.32962963 2.40714285713 1.2656455 -2.34902116 2.35306878314 1.25036336 -2.22330227 2.61807615275 1.19972073 -2.21530372 2.59188571296 1.18290612 -2.15336234 2.7302210126

  • 7 1.14050033 -2.14212948 2.73232760118 1.12521917 -2.10653553 2.80978656619 1.09746776 -2.09540582 2.8216537477

    10 1.08496754 -2.0738048 2.867050698311 1.06725944 -2.06447279 2.880171420112 1.05768898 -2.05093337 2.907722269113 1.04627229 -2.04373258 2.919055114414 1.03923713 -2.03504583 2.936262743515 1.03176945 -2.0297365 2.945120373216 1.02672695 -2.02406427 2.956121440617 1.02178206 -2.02025315 2.9626976862

    metodo gauss jordanAx Ay1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

  • 1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

  • 1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

    1 00 10 00 00 00 00 00 00 00 0

  • METODO DE JACOBI METODO DE GAUSS SEIDELx3 x4

    0 0 0-1.1 1.875 100.000000% 1

    -0.80522727 0.88522727 53.672021% 2-1.04934091 1.13088068 18.185835% 3-0.96810863 0.97384272 8.443131% 4

    -1.0102859 1.02135051 3.370997% 5-0.99452174 0.99443374 1.489405% 6-1.00197223 1.00359431 0.616230% 7-0.99903558 0.99888839 0.268026% 8-1.00036916 1.00061919 0.112336% 9-0.99982814 0.99978598 0.048504% 10-1.00006833 1.0001085 0.020463% 11-0.99996916 0.99995967 0.008797% 12-1.00001257 1.00001924 0.003726% 13-0.99999444 0.9999925 0.001597% 14

    -1.0000023 1.00000344 0.000678% 15-0.99999899 0.99999862 0.000290% 16-1.00000042 1.00000062 0.000123%-0.99999982 0.99999975 0.000053%-1.00000008 1.00000011 0.000022%

    -1 0.99999995-1 1.00000002-1 0.99999999 0-1 1 1-1 1 2-1 1 3-1 1 4-1 1 5-1 1 6-1 1 7-1 1 8-1 1 9-1 1 10-1 1 11-1 1 12

    13

    x4 x50 0 0

    -1.41666667 0.8 100.00000% 1-1.65 0.45222222 22.51144% 2

    -1.89374559 0.70512169 8.82414% 3-1.87108157 0.65079685 7.20504% 4-1.95899309 0.7698626 3.79674% 5-1.93119577 0.77037609 3.67279% 6

  • -1.97185672 0.83521319 2.08322% 7-1.95825097 0.84675944 2.07552% 8-1.97876556 0.88467991 1.25902% 9-1.97348941 0.89689431 1.24701% 10

    -1.9842959 0.92003197 0.81415% 11-1.98277625 0.93027367 0.78377% 12-1.98867444 0.94481861 0.54663% 13-1.98864154 0.95268762 0.50814% 14-1.99197669 0.96203908 0.37307%-1.99242978 0.96782253 0.33606%-1.99438284 0.97393845 0.25605%

    metodo gauss jordanBy C D E F H0 -0.70710678 0 0 0 00 0.70710678 0 0 0 01 0 0 0 0 0.50 0.70710678 0 0.7071067812 0 00 -0.70710678 1 0.7071067812 0 00 0 0 0.7071067812 0.8660254 00 0 0 0 0.8660254 0.50 0 -1 0 -0.5 0.8660250 0 0 0.7071067812 -0.5 00 0 0 0 0 0.866025

    0 -0.70710678 0 0 0 00 0.70710678 0 0 0 01 0 0 0 0 0.50 0.70710678 0 0.7071067812 0 00 -0.70710678 1 0.7071067812 0 00 0 0 0.7071067812 0.8660254 00 0 0 0 0.8660254 0.50 0 -1 0 -0.5 0.8660250 0 0 0.7071067812 -0.5 00 0 0 0 0 0.866025

    0 -0.70710678 0 0 0 00 0.70710678 0 0 0 01 0 0 0 0 0.50 0.70710678 0 0.7071067812 0 00 -0.70710678 1 0.7071067812 0 00 0 0 0.7071067812 0.8660254 00 0 0 0 0.8660254 0.50 0 -1 0 -0.5 0.8660250 0 0 0.7071067812 -0.5 00 0 0 0 0 0.866025

  • 0 -0.70710678 0 0 0 00 0.70710678 0 0 0 01 0 0 0 0 0.50 1 0 1 0 00 0.70710678 -1 -0.707106781 0 00 0 0 0.7071067812 0.8660254 00 0 0 0 0.8660254 0.50 0.70710678 -2 -0.707106781 -0.5 0.8660250 0 0 0.7071067812 -0.5 00 0 0 0 0 0.866025

    0 0 0 0.7071067812 0 00 0 0 -0.707106781 0 01 0 0 0 0 0.50 1 0 1 0 00 0 -1 -1.414213562 0 00 0 0 0.7071067812 0.8660254 00 0 0 0 0.8660254 0.50 0 -2 -1.414213562 -0.5 0.8660250 0 0 0.7071067812 -0.5 00 0 0 0 0 0.866025

    0 0 0 0.7071067812 0 00 0 0 -0.707106781 0 01 0 0 0 0 0.50 1 0 1 0 00 0 1 1.4142135624 0 00 0 0 0.7071067812 0.8660254 00 0 0 0 0.8660254 0.50 0 0 1.4142135624 -0.5 0.8660250 0 0 0.7071067812 -0.5 00 0 0 0 0 0.866025

    0 0 0 0 -0.8660254 00 0 0 0 0.8660254 01 0 0 0 0 0.50 1 0 0 -1.22474487 00 0 1 0 -1.73205081 00 0 0 1 1.22474487 00 0 0 0 0.8660254 0.50 0 0 0 -2.23205081 0.8660250 0 0 0 -1.3660254 00 0 0 0 0 0.866025

  • 0 0 0 0 0 0.50 0 0 0 0 -0.51 0 0 0 0 0.50 1 0 0 0 0.7071070 0 1 0 0 10 0 0 1 0 -0.707110 0 0 0 1 0.577350 0 0 0 0 2.1547010 0 0 0 0 0.7886750 0 0 0 0 0.866025

    0 0 0 0 0 00 0 0 0 0 01 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 10 0 0 0 0 00 0 0 0 0 0

    0 0 0 0 0 00 0 0 0 0 01 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 10 0 0 0 0 00 0 0 0 0 0

    0 0 0 0 0 00 0 0 0 0 01 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 10 0 0 0 0 00 0 0 0 0 0

  • METODO DE GAUSS SEIDELx1 x2 x3 x4

    0.000000000 0.000000000 0.000000000 0.0000000000.600000000 2.327272727 -0.987272727 0.8788636361.030181818 2.036938017 -1.014456198 0.9843412191.006585041 2.003555017 -1.002527385 0.9983509461.000860979 2.000298251 -1.000307276 0.9998497461.000091280 2.000021342 -1.000031147 0.9999881031.000008364 2.000001173 -1.000002745 0.9999992171.000000666 2.000000025 -1.000000209 0.9999999651.000000044 1.999999995 -1.000000013 1.0000000001.000000002 1.999999999 -1.000000000 1.0000000001.000000000 2.000000000 -1.000000000 1.000000000

    1 2 -1 11 2 -1 11 2 -1 11 2 -1 11 2 -1 11 2 -1 1

    ejercicio en clase de armaduraf1 f2 f3 h2

    0 0 0 00 0 -1000 0

    -577.3672055427 500 -666.6471099638 0-384.9001789629 333.3235549819 -777.7712592593 0

    -449.05961851 388.8856296296 -740.7277029388 0-427.6718839139 370.3638514694 -753.0762794955 0-434.8015470528 376.5381397477 -748.9598458125 0-432.4248532405 374.4799229062 -750.3320708773 0-433.2171309915 375.1660354387 -749.8746356862 0-432.9530229135 374.9373178431 -750.0271230292 0-433.0410641046 375.0135615146 -749.9762909327 0-433.0117153191 374.9881454663 -749.9932359589 0-433.0214988216 374.9966179795 -749.9875872855 0-433.0182374627 374.9937936427 -749.9894702871 0

    x1 x2 x3 x40 0 0 0

    1.2 -3.1333333333 0.6380952381 -1.3539682541.8015978836 -2.8364738389 1.0888907365 -1.66856258221.7648359299 -2.7029782688 1.2532910883 -1.72036827621.6990085284 -2.6366021289 1.3037836633 -1.7202765341.6631784062 -2.6111423798 1.3176186299 -1.71504885531.6484544078 -2.6025952624 1.3208060697 -1.7119553338

  • 1.6432723365 -2.6000512533 1.3213242964 -1.7106379961.6416585881 -2.5993900248 1.3213152553 -1.7101632324

    1.641215358 -2.5992502127 1.3212583955 -1.71001224391.6411125443 -2.5992329031 1.3212255343 -1.7099697711.6410955411 -2.599236518 1.3212116733 -1.70995955611.6410956615 -2.5992403842 1.3212067087 -1.70995771131.6410974225 -2.5992423205 1.3212051384 -1.70995763111.6410984561 -2.599243086 1.3212046993 -1.7099577667

    metodo gauss jordanI K

    -1 0 0 f10 0 0 f20 0 0 f30 0 -400 f40 0 0 f50 0 0 f60 0 -200 f70 0 0 f81 -1 0 f90 1 0 f10

    -1 0 00 0 00 0 00 0 -4000 0 00 0 00 0 -2000 0 01 -1 00 1 0

    -1 0 0 f10 0 0 f20 0 0 f30 0 -400 f40 0 0 f50 0 0 f60 0 -200 f70 0 0 f81 -1 0 f90 1 0 f10

  • -1 0 0 f10 0 0 f20 0 0 f30 0 -565.6854249492 f40 0 0 f50 0 0 f60 0 -200 f70 0 0 f81 -1 0 f90 1 0 f10

    -1 0 -4000 0 4000 0 00 0 -565.68542494920 0 4000 0 00 0 -2000 0 4001 -1 00 1 0

    -1 0 -4000 0 4000 0 00 0 -565.68542494920 0 -4000 0 00 0 -2000 0 -4001 -1 00 1 0

    -1 0 -4000 0 4000 0 00 0 -565.68542494920 0 -4000 0 00 0 -2000 0 -4001 -1 00 1 0

  • -1 0 -6000 0 6000 0 00 0 -848.52813742390 0 -8000 0 282.84271247460 0 -230.94010767590 0 -915.47005383791 -1 -315.47005383790 1 0

    -1 0 -387.56443470180 0 387.56443470180 0 212.43556529820 0 -548.09887984870 0 -375.12886940360 0 -17.58654510050 0 14.35935394490 0 -424.87113059641 -1 19.61524227070 1 367.9491924311

    0 -1 -367.94919243110 0 387.56443470180 0 212.43556529820 0 -548.09887984870 0 -375.12886940360 0 -17.58654510050 0 14.35935394490 0 -424.87113059641 -1 19.61524227070 1 367.9491924311

    0 0 00 0 387.56443470180 0 212.43556529820 0 -548.09887984870 0 -375.12886940360 0 -17.58654510050 0 14.35935394490 0 -424.87113059641 0 387.56443470180 1 367.9491924311

  • METODO DE GAUSS SEIDEL

    100.00000000%19.75143592%

    1.69092083%0.26865643%0.03304694%0.00342514%0.00031066%0.00002472%0.00000167%0.00000009%0.00000001%0.00000000%0.00000000%0.00000000%0.00000000%0.00000000%

    v2 v30 0 100.0000000%0 866 77.2139882%

    288.6836027714 577.3163972286 26.5762014%192.4500894815 673.5499105185 8.8313532%

    224.529809255 641.470190745 2.9496104%213.8359419569 652.1640580431 0.9827266%217.4007735264 648.5992264736 0.3276576%216.2124266202 649.7875733798 0.1092188%216.6085654958 649.3914345042 0.0364092%216.4765114568 649.5234885433 0.0121370%216.5205320523 649.4794679477 0.0040459%216.5058576596 649.4941423405 0.0013487%216.5107494108 649.4892505892 0.0004496%216.5091187314 649.4908812686 #DIV/0!

    x50

    -0.0242328042 100.00000000%0.0040052033 22.21326591%0.0918539093 6.15110518%0.1395200855 3.05633991%

    0.159126902 1.33208256%0.1660314398 0.50169286%

  • 0.168182692 0.16797782%0.1687739078 0.05055311%0.1689111776 0.01357896%0.1689339342 0.00317616%0.1689338061 0.00065051%0.1689314689 0.00018511%0.1689300939 0.00008903%0.1689295098 0.00003949%

    metodo gauss jordanx1 x2 x32 1 -11 0 20 -2 -13 1 -41 -1 -10 0 00 0 00 0 00 0 00 0 0

    1 1 -11 0 20 -2 -13 1 -41 -1 -10 0 00 0 00 0 00 0 00 0 0

    1 1 -11 0 20 -2 -13 1 -41 -1 -10 0 00 0 00 0 00 0 00 0 0

  • 1 1 -11 0 20 -2 -1

    4.2426406871 1.4142135624 -4-1 1 -10 0 00 0 0-1 1 00 0 00 0 0

    4 2 -3.82842712-2 -1 4.828427120 -2 -1

    4.2426406871 1.4142135624 -4-4 0 1.828427120 0 00 0 0-4 0 2.828427120 0 00 0 0

    4 2 -3.82842712-2 -1 4.828427120 -2 -1

    4.2426406871 1.4142135624 -44 0 -1.828427120 0 00 0 04 0 -0.828427120 0 00 0 0

    4 2 -3.82842712-2 -1 4.828427120 -2 -1

    4.2426406871 1.4142135624 -44 0 -1.828427120 0 00 0 04 0 -0.828427120 0 00 0 0

  • 4 2 -3.82842712-2 -1 4.828427120 -2 -1

    4.2426406871 1.4142135624 -44 0 -1.828427120 0 00 0 04 0 -0.828427120 0 00 0 0

    3.0717967697 2 -3.63618994-1.0717967697 -1 4.63618994-0.9282032303 -2 -0.807762822.9299630902 1.4142135624 -3.728135572.1435935394 0 -1.443952761.3126775969 0 -0.27186443-1.0717967697 0 0.221976381.8564064606 0 -0.38447437-1.4641016151 0 0.30322537-1.6076951546 0 0.33296457

    1.6076951546 2 -3.33296457-1.0717967697 -1 4.63618994-0.9282032303 -2 -0.807762822.9299630902 1.4142135624 -3.728135572.1435935394 0 -1.443952761.3126775969 0 -0.27186443-1.0717967697 0 0.221976381.8564064606 0 -0.38447437-1.4641016151 0 0.30322537-1.6076951546 0 0.33296457

    0 2 -3-1.0717967697 -1 4.63618994-0.9282032303 -2 -0.807762822.9299630902 1.4142135624 -3.728135572.1435935394 0 -1.443952761.3126775969 0 -0.27186443-1.0717967697 0 0.221976381.8564064606 0 -0.38447437-3.0717967697 0 0.63618994-1.6076951546 0 0.33296457

  • metodo gauss jordanx4 x5 valor F H I1 -3 7 0 0 0-1 1 2 0 0 01 -1 -5 0 0 00 5 6 0 0 0-1 1 3 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

    1 -3 7 0 0 0-1 1 2 0 0 01 -1 -5 0 0 00 5 6 0 0 0-1 1 3 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

    1 -3 7 0 0 0-1 1 2 0 0 01 -1 -5 0 0 00 5 6 0 0 0-1 1 3 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

  • 1 -3 7 0 0 0-1 1 2 0 0 01 -1 -5 0 0 00 7.07106781 8.48528137 0 0 01 -1 -3 0 0 00 0 0.70710678 0.8660254 0 00 0 0 0.8660254 0.5 01 -1 -3 0 0 00 0 0.70710678 -0.5 0 10 0 0 0 0.8660254 0

    1 2 13 0 0 0-1 -4 -4 0 0 01 -1 -5 0 0 00 7.07106781 8.48528137 0 0 01 -6 -9 0 0 00 0 0.70710678 0.8660254 0 00 0 0 0.8660254 0.5 01 -6 -9 0 0 00 0 0.70710678 -0.5 0 10 0 0 0 0.8660254 0

    1 2 13 0 0 0-1 -4 -4 0 0 01 -1 -5 0 0 00 7.07106781 8.48528137 0 0 0-1 6 9 0 0 00 0 0.70710678 0.8660254 0 00 0 0 0.8660254 0.5 0-1 6 9 0 0 00 0 0.70710678 -0.5 0 10 0 0 0 0.8660254 0

    1 2 12.2928932 -0.8660254 0 0-1 -4 -3.29289322 0.8660254 0 01 -1 -5 0 0 00 7.07106781 7.48528137 -1.22474487 0 0-1 6 7.58578644 -1.73205081 0 00 0 1 1.22474487 0 00 0 0 0.8660254 0.5 0-1 6 7.58578644 -1.73205081 0 00 0 0 -1.3660254 0 10 0 0 0 0.8660254 0

  • 1 2 12.2928932 0 0.5 0-1 -4 -3.29289322 0 -0.5 01 -1 -5 0 0 00 7.07106781 7.48528137 0 0.70710678 0-1 6 7.58578644 0 1 00 0 1 0 -0.70710678 00 0 0 1 0.57735027 0-1 6 7.58578644 0.5 1.28867513 00 0 0 0 0.78867513 10 0 0 0 0.8660254 0

    1.23205081 0.60769515 10.5326053 -0.1160254 0.20096189 0-1.23205081 -2.60769515 -1.53260535 0.1160254 -0.20096189 01.23205081 -2.39230485 -6.76028787 -0.1160254 -0.29903811 00.3281694 5.10205142 4.9958584 -0.1640847 0.28420304 0

    -0.53589838 3.21539031 4.0652107 -0.23205081 0.40192379 0-0.3281694 1.9690164 3.48942298 0.1640847 -0.28420304 00.26794919 -1.60769515 -2.03260535 0.8660254 0.23205081 0-0.46410162 2.78460969 3.52057574 0.23205081 0.59807621 00.3660254 -2.19615242 -2.77659054 -0.1830127 0.3169873 1

    0.40192379 -2.41154273 -3.04890802 -0.20096189 0.34807621 0

    1.59807621 -1.58845727 7.75601481 -0.29903811 0.51794919 1-1.23205081 -2.60769515 -1.53260535 0.1160254 -0.20096189 01.23205081 -2.39230485 -6.76028787 -0.1160254 -0.29903811 00.3281694 5.10205142 4.9958584 -0.1640847 0.28420304 0

    -0.53589838 3.21539031 4.0652107 -0.23205081 0.40192379 0-0.3281694 1.9690164 3.48942298 0.1640847 -0.28420304 00.26794919 -1.60769515 -2.03260535 0.8660254 0.23205081 0-0.46410162 2.78460969 3.52057574 0.23205081 0.59807621 00.3660254 -2.19615242 -2.77659054 -0.1830127 0.3169873 1

    0.40192379 -2.41154273 -3.04890802 -0.20096189 0.34807621 0

    2 -4 4.70710678 -0.5 0.8660254 1-1.23205081 -2.60769515 -1.53260535 0.1160254 -0.20096189 01.23205081 -2.39230485 -6.76028787 -0.1160254 -0.29903811 00.3281694 5.10205142 4.9958584 -0.1640847 0.28420304 0

    -0.53589838 3.21539031 4.0652107 -0.23205081 0.40192379 0-0.3281694 1.9690164 3.48942298 0.1640847 -0.28420304 00.26794919 -1.60769515 -2.03260535 0.8660254 0.23205081 0-0.46410162 2.78460969 3.52057574 0.23205081 0.59807621 00.76794919 -4.60769515 -5.82549857 -0.3839746 0.66506351 10.40192379 -2.41154273 -3.04890802 -0.20096189 0.34807621 0

  • K0 00 00 00 00 00 00 00 00 00 0

    0 00 00 00 00 00 00 00 00 00 0

    0 00 00 00 00 00 00 00 00 00 0

  • 0 00 00 00 00 00 00 -2000 0-1 01 0

    0 00 00 00 00 00 00 -2000 0-1 01 0

    0 00 00 00 00 00 00 -2000 0-1 01 0

    0 00 00 00 00 00 00 -2000 0-1 01 0

  • 0 -2000 2000 00 -282.8427120 -4000 282.8427120 -230.9401080 -515.470054-1 -315.4700541 0

    0 -80.38475770 80.38475770 119.6152420 -113.6812150 -160.7695150 113.6812150 -92.8203230 -239.230485-1 -126.7949191 207.179677

    -1 -207.1796770 80.38475770 119.6152420 -113.6812150 -160.7695150 113.6812150 -92.8203230 -239.230485-1 -126.7949191 207.179677

    0 00 80.38475770 119.6152420 -113.6812150 -160.7695150 113.6812150 -92.8203230 -239.2304850 80.38475771 207.179677

    Hoja1


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Volumenes finitos

Volumenes finitos

Lenguajes regulares - Automatas finitos

Lenguajes regulares - Automatas finitos

1 Practica Calificada Finitos

1 Practica Calificada Finitos