43157786-5209-4bbc-ae90-086b85531ffa 17 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

x f 425 7.73 101^/ x * + 1.69 103^/ x 2^* - 2.22 106^/ x 3^* + :

x f 66613002738 x - / + (- 0 ≡ x 590610 solve 600.6

x f 666 13002 738 x - / + 2 1 sys

x ca 425 7.73 101^/ x * + 1.69 103^/ x 2^* - 2.22 106^/ x 3^* + x 600.6 ≤ 66613002738 x - / + x 600.6 735 ltle 54517820 x 731 - / + x 735900 ltle 650 cases :

t ca 425 7.73 101^/ t * + 1.69 103^/ t 2^* - 2.22 106^/ t 3^* + 0 t ≤ (t 600.6 ≤ (* / 66613002738 t - / + 600.6 t ≤ (t 735 ≤ (* / 54517820 t 731 - / + 735 t ≤ (t 900 ≤ (* / 650900 t ≤ (t 1200 ≤ (* / 41 mat :

x ca 1 el x ca 2 el x ca 3 el x ca 4 el 4 1 sys

d.p 0.01 :

ρ.p 350 :

c.p 1200 :

λ.p 0.12 :

ratio.Ap_V 107102^* :

THESE ARE THE VALUES USED IN THE EXAMPLE I'M TRYING TO MIMIC

INNDATA

Densitet stål ρ.a 7850 :

Standard temperatur-tidkurve t θ.g 203458 t * 1 + log10 * + :

x θ.g x diff 276018 x * + (10 ln * /

t Δθ.g 276018 t * + (10 ln * / :

x θ.g 0 x ≤ ( x 1200 ≤ ( * / 100 x Δθ.g 0 x ≤ ( x 1200 ≤ ( * / * 2 1 sys x Δθ.g 0 x ≤ ( x 1024 ≤ ( * /

θ.a φ c.p ρ.p * θ.a ca 1 el ρ.a * / d.p * ratio.Ap_V * c.p ρ.p * θ.a ca 2 el ρ.a * / d.p * ratio.Ap_V * c.p ρ.p * θ.a ca 3 el ρ.a * / d.p * ratio.Ap_V * c.p ρ.p * θ.a ca 4 el ρ.a * / d.p * ratio.Ap_V * 41 mat :

t Φ t φ 1 el 10 / 1 - exp t φ 2 el 10 / 1 - exp t φ 3 el 10 / 1 - exp t φ 4 el 10 / 1 - exp 41 sys :

x φ 1 el x φ 2 el x φ 3 el x φ 4 el 4 1 sys x Φ 1 el x Φ 2 el x Φ 3 el x Φ 4 el 4 1 sys

d.p 0.01 :

ρ.p 350 :

c.p 1200 :

λ.p 0.12 :

ratio.Ap_V 107102^* :

INNDATA

THESE ARE THE VALUES USED IN THE EXAMPLE I'M TRYING TO MIMIC

Densitet stål ρ.a 7850 :

SYSTEM AV DIFFERENSIALLIGNINGER

θ.a c.a 425 7.73 101^/ θ.a * + 1.69 103^/ θ.a 2^* - 2.22 106^/ θ.a 3^* + 66613002738 θ.a - / + 54517820 θ.a 731 - / + 65041 mat :

t θ.a D λ.p ratio.Ap_V * d.p t ca 1 el * ρ.a * 1 t Φ 1 el 3 / + (* / t θ.g θ.a - (* t Φ 1 el t Δθ.g * - λ.p ratio.Ap_V * d.p t ca 2 el * ρ.a * 1 t Φ 2 el 3 / + (* / t θ.g θ.a - (* t Φ 2 el t Δθ.g * - λ.p ratio.Ap_V * d.p t ca 3 el * ρ.a * 1 t Φ 3 el 3 / + (* / t θ.g θ.a - (* t Φ 3 el t Δθ.g * - λ.p ratio.Ap_V * d.p t ca 4 el * ρ.a * 1 t Φ 4 el 3 / + (* / t θ.g θ.a - (* t Φ 4 el t Δθ.g * - 41 mat :

INITIALBETINGELSER OG LØSNING AV DIFFERENSIALLIGNINGER

θ.a.init 20 :

θ.a.12 600 :

θ.a.23 735 :

θ.a.34 900 :

steps 5 :

t.init 0 :

t.12 147.6 :

t.23 204.5 :

t.34 289.4 :

t.final 360 :

3 appVersion 0.98.6179 ≡

sol_1 θ.a.init t.init t.12 steps t.12 t.init - (* t θ.a D 1 el dn_GearsBDF :

sol_1 11 mat 020 0.2 181.5069 - 0.4 280.8622 - 0.6 346.2043 - 0.8 394.1725 - 1 431.6655 - 1.2 462.1215 - 1.4 487.343 - 1.6 508.6596 - 1.8 526.927 - 2 542.7177 - 2.2 556.4605 - 2.4 568.4757 - 2.6 579.0261 - 2.8 588.32 - 3 596.5208 - 3.2 603.7834 - 3.4 610.2094 - 3.6 615.8835 - 3.8 620.8777 - 4 625.2535 - 4.2 629.0687 - 4.4 632.3608 - 4.6 635.1874 - 4.8 637.5744 - 5 639.5532 - 5.2 641.1914 - 5.4 642.4713 - 5.6 643.457 - 5.8 644.1696 - 6 644.6155 - 6.2 644.8232 - 6.4 644.8029 - 6.6 644.565 - 6.8 644.1195 - 7 643.48 - 7.2 642.653 - 7.4 641.6498 - 7.6 640.4812 - 7.8 639.1577 - 8 637.6861 - 8.2 636.0786 - 8.4 634.3406 - 8.6 632.4796 - 8.8 630.5021 - 9 628.4139 - 9.2 626.219 - 9.4 623.925 - 9.6 621.5364 - 9.8 619.0561 - 10 616.4864 - 10.2 613.8366 - 10.4 611.1084 - 10.6 608.3037 - 10.8 605.4239 - 11 602.4773 - 11.2 599.4648 - 11.4 596.3884 - 11.6 593.2503 - 11.8 590.0579 - 12 586.8113 - 12.2 583.5127 - 12.4 580.1641 - 12.6 576.767 - 12.8 573.3229 - 13 569.8369 - 13.2 566.3115 - 13.4 562.7465 - 13.6 559.1432 - 13.8 555.5027 - 14 551.8262 - 14.2 548.1157 - 14.4 544.3766 - 14.6 540.6072 - 14.8 536.8086 - 15 532.9819 - 15.2 529.1281 - 15.4 525.248 - 15.6 521.3454 - 15.8 517.4204 - 16 513.4736 - 16.2 509.5059 - 16.4 505.5183 - 16.6 501.5116 - 16.8 497.4872 - 17 493.4466 - 17.2 489.3901 - 17.4 485.3185 - 17.6 481.2326 - 17.8 477.1331 - 18 473.021 - 18.2 468.8972 - 18.4 464.7623 - 18.6 460.6169 - 18.8 456.4617 - 19 452.2972 - 19.2 448.1241 - 19.4 443.9432 - 19.6 439.755 - 19.8 435.5601 - 20 431.3588 - 20.2 427.1517 - 20.4 422.9393 - 20.6 418.7223 - 20.8 414.5014 - 21 410.2768 - 21.2 406.0489 - 21.4 401.8182 - 21.6 397.5851 - 21.8 393.3499 - 22 389.1129 - 22.2 384.8744 - 22.4 380.6348 - 22.6 376.3943 - 22.8 372.154 - 23 367.9145 - 23.2 363.6755 - 23.4 359.4373 - 23.6 355.2002 - 23.8 350.9643 - 24 346.73 - 24.2 342.4974 - 24.4 338.2667 - 24.6 334.0382 - 24.8 329.8119 - 25 325.5892 - 25.2 321.37 - 25.4 317.1542 - 25.6 312.942 - 25.8 308.7336 - 26 304.5292 - 26.2 300.329 - 26.4 296.1331 - 26.6 291.9417 - 26.8 287.7551 - 27 283.5732 - 27.2 279.3968 - 27.4 275.2258 - 27.6 271.0603 - 27.8 266.9005 - 28 262.7465 - 28.2 258.5986 - 28.4 254.4569 - 28.6 250.3215 - 28.8 246.1927 - 29 242.0706 - 29.2 237.9554 - 29.4 233.8467 - 29.6 229.745 - 29.8 225.6504 - 30 221.5632 - 30.2 217.4833 - 30.4 213.411 - 30.6 209.3465 - 30.8 205.2897 - 31 201.2408 - 31.2 197.2 - 31.4 193.1674 - 31.6 189.1426 - 31.8 185.126 - 32 181.1178 - 32.2 177.118 - 32.4 173.1267 - 32.6 169.144 - 32.8 165.1699 - 33 161.2046 - 33.2 157.2482 - 33.4 153.3006 - 33.6 149.3619 - 33.8 145.4323 - 34 141.5116 - 34.2 137.6001 - 34.4 133.6978 - 34.6 129.8047 - 34.8 125.9208 - 35 122.0463 - 35.2 118.1811 - 35.4 114.3253 - 35.6 110.479 - 35.8 106.6421 - 36 102.8149 - 36.2 98.9972 - 36.4 95.1891 - 36.6 91.3907 - 36.8 87.602 - 37 83.823 - 37.2 80.0538 - 37.4 76.2943 - 37.6 72.5446 - 37.8 68.8048 - 38 65.0749 - 38.2 61.3548 - 38.4 57.6447 - 38.6 53.9445 - 38.8 50.2542 - 39 46.574 - 39.2 42.9038 - 39.4 39.2436 - 39.6 35.5935 - 39.8 31.9535 - 40 28.3236 - 40.2 24.7037 - 40.4 21.0937 - 40.6 17.4939 - 40.8 13.9042 - 41 10.3246 - 41.2 6.7551 - 41.4 3.1958 - 41.6 0.3533 41.8 3.8923 42 7.4211 42.2 10.9397 42.4 14.448 42.6 17.9461 42.8 21.4339 43 24.9115 43.2 28.3788 43.4 31.8357 43.6 35.2824 43.8 38.7191 44 42.1455 44.2 45.5618 44.4 48.9678 44.6 52.3635 44.8 55.749 45 59.1243 45.2 62.4893 45.4 65.8441 45.6 69.1886 45.8 72.523 46 75.8471 46.2 79.161 46.4 82.4648 46.6 85.7584 46.8 89.0418 47 92.3151 47.2 95.5782 47.4 98.8312 47.6 102.0741 47.8 105.3069 48 108.5297 48.2 111.7424 48.4 114.945 48.6 118.1376 48.8 121.32 49 124.4925 49.2 127.655 49.4 130.8074 49.6 133.9499 49.8 137.0825 50 140.2051 50.2 143.3178 50.4 146.4207 50.6 149.5136 50.8 152.5967 51 155.6699 51.2 158.7333 51.4 161.7869 51.6 164.8306 51.8 167.8646 52 170.8888 52.2 173.9033 52.4 176.908 52.6 179.903 52.8 182.8883 53 185.864 53.2 188.8299 53.4 191.7863 53.6 194.7331 53.8 197.6702 54 200.5978 54.2 203.5158 54.4 206.4243 54.6 209.3233 54.8 212.2128 55 215.0928 55.2 217.9633 55.4 220.8244 55.6 223.676 55.8 226.5183 56 229.3513 56.2 232.1749 56.4 234.9892 56.6 237.7942 56.8 240.59 57 243.3764 57.2 246.1537 57.4 248.9217 57.6 251.6806 57.8 254.4303 58 257.1708 58.2 259.9022 58.4 262.6245 58.6 265.3377 58.8 268.0419 59 270.737 59.2 273.4231 59.4 276.1002 59.6 278.7684 59.8 281.4277 60 284.0781 60.2 286.7196 60.4 289.3523 60.6 291.9761 60.8 294.5911 61 297.1973 61.2 299.7947 61.4 302.3834 61.6 304.9635 61.8 307.5348 62 310.0974 62.2 312.6514 62.4 315.1968 62.6 317.7336 62.8 320.2619 63 322.7816 63.2 325.2928 63.4 327.7955 63.6 330.2897 63.8 332.7755 64 335.2529 64.2 337.7219 64.4 340.1825 64.6 342.6348 64.8 345.0787 65 347.5144 65.2 349.9419 65.4 352.3611 65.6 354.7721 65.8 357.1749 66 359.5695 66.2 361.9561 66.4 364.3345 66.6 366.7049 66.8 369.0672 67 371.4214 67.2 373.7674 67.4 376.1054 67.6 378.4355 67.8 380.7575 68 383.0717 68.2 385.3779 68.4 387.6763 68.6 389.9668 68.8 392.2495 69 394.5244 69.2 396.7916 69.4 399.0509 69.6 401.3026 69.8 403.5466 70 405.7829 70.2 408.0115 70.4 410.2326 70.6 412.446 70.8 414.6519 71 416.8503 71.2 419.0411 71.4 421.2245 71.6 423.4005 71.8 425.569 72 427.7301 72.2 429.8838 72.4 432.0303 72.6 434.1694 72.8 436.3012 73 438.4258 73.2 440.5431 73.4 442.6533 73.6 444.7563 73.8 446.8521 74 448.9408 74.2 451.0225 74.4 453.0971 74.6 455.1647 74.8 457.2245 75 459.277 75.2 461.3225 75.4 463.361 75.6 465.3926 75.8 467.4171 76 469.4348 76.2 471.4455 76.4 473.4493 76.6 475.4463 76.8 477.4365 77 479.4198 77.2 481.3964 77.4 483.3663 77.6 485.3294 77.8 487.2858 78 489.2355 78.2 491.1786 78.4 493.1151 78.6 495.0449 78.8 496.9682 79 498.885 79.2 500.7953 79.4 502.699 79.6 504.5963 79.8 506.4872 80 508.3717 80.2 510.2497 80.4 512.1215 80.6 513.9869 80.8 515.846 81 517.6988 81.2 519.5454 81.4 521.3857 81.6 523.2199 81.8 525.0479 82 526.8698 82.2 528.6855 82.4 530.4949 82.6 532.2974 82.8 534.0937 83 535.8839 83.2 537.6681 83.4 539.4461 83.6 541.2182 83.8 542.9842 84 544.7442 84.2 546.4982 84.4 548.2463 84.6 549.9885 84.8 551.7247 85 553.4551 85.2 555.1796 85.4 556.8983 85.6 558.6111 85.8 560.3182 86 562.0195 86.2 563.715 86.4 565.4049 86.6 567.089 86.8 568.7674 87 570.4402 87.2 572.1074 87.4 573.7689 87.6 575.4249 87.8 577.0752 88 578.7201 88.2 580.3594 88.4 581.9932 88.6 583.6216 88.8 585.2445 89 586.862 89.2 588.474 89.4 590.0807 89.6 591.682 89.8 593.2779 90 594.8686 90.2 596.4535 90.4 598.0329 90.6 599.6071 90.8 601.1759 91 602.7394 91.2 604.2978 91.4 605.8508 91.6 607.3987 91.8 608.9414 92 610.4788 92.2 612.0112 92.4 613.5384 92.6 615.0605 92.8 616.5775 93 618.0894 93.2 619.5962 93.4 621.098 93.6 622.5948 93.8 624.0866 94 625.5734 94.2 627.0552 94.4 628.5321 94.6 630.0041 94.8 631.4711 95 632.9333 95.2 634.3906 95.4 635.843 95.6 637.2906 95.8 638.7334 96 640.1713 96.2 641.6045 96.4 643.033 96.6 644.4566 96.8 645.8756 97 647.2898 97.2 648.6994 97.4 650.1043 97.6 651.5045 97.8 652.9001 98 654.2909 98.2 655.6772 98.4 657.0589 98.6 658.436 98.8 659.8085 99 661.1765 99.2 662.5399 99.4 663.8989 99.6 665.2533 99.8 666.6033 100 667.9488 100.2 669.2899 100.4 670.6265 100.6 671.9588 100.8 673.2866 101 674.61 101.2 675.9291 101.4 677.2439 101.6 678.5543 101.8 679.8604 102 681.1622 102.2 682.4597 102.4 683.7529 102.6 685.0419 102.8 686.3266 103 687.6072 103.2 688.8835 103.4 690.1556 103.6 691.4236 103.8 692.6874 104 693.947 104.2 695.2025 104.4 696.4539 104.6 697.7012 104.8 698.9444 105 700.1836 105.2 701.4187 105.4 702.6497 105.6 703.8769 105.8 705.1001 106 706.3194 106.2 707.5347 106.4 708.7461 106.6 709.9536 106.8 711.1571 107 712.3567 107.2 713.5524 107.4 714.7442 107.6 715.9322 107.8 717.1164 108 718.2967 108.2 719.4732 108.4 720.6458 108.6 721.8147 108.8 722.9798 109 724.1412 109.2 725.2988 109.4 726.4527 109.6 727.6028 109.8 728.7493 110 729.892 110.2 731.0311 110.4 732.1665 110.6 733.2982 110.8 734.4263 111 735.5508 111.2 736.6717 111.4 737.7889 111.6 738.9026 111.8 740.0127 112 741.1193 112.2 742.2223 112.4 743.3217 112.6 744.4177 112.8 745.5101 113 746.599 113.2 747.6845 113.4 748.7665 113.6 749.845 113.8 750.92 114 751.9917 114.2 753.0599 114.4 754.1247 114.6 755.1861 114.8 756.2441 115 757.2987 115.2 758.35 115.4 759.3979 115.6 760.4425 115.8 761.4838 116 762.5217 116.2 763.5563 116.4 764.5877 116.6 765.6157 116.8 766.6405 117 767.662 117.2 768.6803 117.4 769.6954 117.6 770.7072 117.8 771.7163 118 772.7223 118.2 773.7251 118.4 774.7248 118.6 775.7214 118.8 776.7148 119 777.7051 119.2 778.6924 119.4 779.6765 119.6 780.6576 119.8 781.6356 120 782.6105 120.2 783.5824 120.4 784.5513 120.6 785.5172 120.8 786.48 121 787.4398 121.2 788.3967 121.4 789.3506 121.6 790.3015 121.8 791.2495 122 792.1945 122.2 793.1366 122.4 794.0757 122.6 795.012 122.8 795.9453 123 796.8758 123.2 797.8034 123.4 798.7281 123.6 799.6499 123.8 800.5689 124 801.4851 124.2 802.3984 124.4 803.3089 124.6 804.2166 124.8 805.1215 125 806.0236 125.2 806.9229 125.4 807.8194 125.6 808.7132 125.8 809.6042 126 810.4925 126.2 811.3781 126.4 812.2609 126.6 813.141 126.8 814.0185 127 814.8932 127.2 815.7652 127.4 816.6346 127.6 817.5013 127.8 818.3653 128 819.2267 128.2 820.0854 128.4 820.9415 128.6 821.795 128.8 822.6459 129 823.4941 129.2 824.3398 129.4 825.1829 129.6 826.0233 129.8 826.8613 130 827.6973 130.2 828.5308 130.4 829.3618 130.6 830.1902 130.8 831.0162 131 831.8397 131.2 832.6608 131.4 833.4793 131.6 834.2955 131.8 835.1091 132 835.9204 132.2 836.7292 132.4 837.5356 132.6 838.3396 132.8 839.1412 133 839.9404 133.2 840.7372 133.4 841.5316 133.6 842.3237 133.8 843.1134 134 843.9008 134.2 844.6858 134.4 845.4685 134.6 846.2489 134.8 847.027 135 847.8027 135.2 848.5762 135.4 849.3473 135.6 850.1162 135.8 850.8828 136 851.6472 136.2 852.4092 136.4 853.1691 136.6 853.9267 136.8 854.682 137 855.4351 137.2 856.1861 137.4 856.9348 137.6 857.6812 137.8 858.4255 138 859.1676 138.2 859.9076 138.4 860.6453 138.6 861.3809 138.8 862.1143 139 862.8456 139.2 863.5747 139.4 864.3017 139.6 865.0265 139.8 865.7493 140 866.4699 140.2 867.1884 140.4 867.9048 140.6 868.6191 140.8 869.3313 141 870.0414 141.2 870.7495 141.4 871.4555 141.6 872.1594 141.8 872.8613 142 873.5612 142.2 874.2596 142.4 874.9559 142.6 875.6503 142.8 876.3426 143 877.033 143.2 877.7214 143.4 878.4078 143.6 879.0923 143.8 879.7748 144 880.4554 144.2 881.1341 144.4 881.8108 144.6 882.4856 144.8 883.1584 145 883.8294 145.2 884.4984 145.4 885.1656 145.6 885.8309 145.8 886.4943 146 887.1558 146.2 887.8154 146.4 888.4732 146.6 889.1291 146.8 889.7832 147 890.4354 147.2 891.0858 147.4 891.7344 147.6 892.3811 7392 mat 11 mat

sol_2 θ.a.init t.init t.12 steps t.12 t.init - (* t θ.a D 2 el dn_GearsBDF :

sol_3 θ.a.init t.init t.12 steps t.12 t.init - (* t θ.a D 3 el dn_GearsBDF :

sol_4 θ.a.init t.init t.12 steps t.12 t.init - (* t θ.a D 4 el dn_GearsBDF :

res θ.a.init t.init t.12 steps t.12 t.init - (* t θ.a D 1 el dn_GearsBDF θ.a.12 t.12 t.23 steps t.23 t.12 - (* t θ.a D 2 el dn_GearsBDF θ.a.23 t.23 t.34 steps t.34 t.23 - (* t θ.a D 3 el dn_GearsBDF θ.a.34 t.34 t.final steps t.final t.34 - (* t θ.a D 4 el dn_GearsBDF 41 mat :

θ.a t.12 res 1 el 2 col res 1 el 1 col θ.a ainterp :

θ.a.12 t.12 #

θ.a t.23 res 2 el 2 col res 2 el 1 col θ.a ainterp :

θ.a.23 t.23 #

θ.a t.34 res 3 el 2 col res 3 el 1 col θ.a ainterp :

θ.a.34 t.34 #

check t.12 θ.a.12 t.12 - abs 1105 -^* < t12 er tilstrekkelig itterert For stort avvik på t12 if t.23 θ.a.23 t.23 - abs 1105 -^* < t23 er tilstrekkelig itterert For stort avvik på t23 if t.34 θ.a.34 t.34 - abs 1105 -^* < t34 er tilstrekkelig itterert For stort avvik på t34 if 31 mat : #

res 1 el #