F0c=aw*(-ω^2*α1+ρ*g*α5)

aw= 1ρ= 1.025g= 9.81

iω ω[rad/s] 0 15 30 45 60 75

1 0.00 55805.814 55805.814 55805.814 55805.814 55805.814 55805.8142 0.05 55789.337 55789.643 55769.268 55769.547 55691.149 55768.5363 0.10 55676.617 55681.498 55608.109 55612.529 55298.241 55596.4734 0.15 55279.999 55304.520 55169.889 55192.009 54485.145 55114.1345 0.20 54297.252 54373.517 54209.489 54278.848 53038.099 54062.8466 0.25 52337.896 52518.627 52408.976 52578.877 50726.184 52200.6397 0.30 48978.574 49334.875 49416.654 49776.728 47402.875 49494.9668 0.35 43858.505 44467.701 44912.349 45608.612 43135.112 46329.9639 0.40 36815.719 37735.986 38700.656 39958.723 38276.839 43478.824

10 0.45 27945.390 29174.718 30715.912 32842.465 33300.131 41453.06911 0.50 17915.275 19347.013 21316.954 24628.799 28531.171 39837.21012 0.55 8129.057 9542.001 11537.018 16200.934 23945.218 37572.61513 0.60 106.849 1194.905 2580.838 8368.661 19041.021 33734.80314 0.65 -4920.260 -4433.753 -4343.067 1923.750 13737.118 29520.57715 0.70 -6576.390 -6861.606 -8603.557 -3055.290 8150.203 25499.14116 0.75 -5239.593 -6223.220 -9830.125 -6371.109 3066.745 21908.33417 0.80 -2234.896 -3561.918 -8345.648 -7865.847 -824.004 18255.46518 0.85 608.510 -553.935 -5252.946 -7562.997 -3317.125 14325.63319 0.90 1904.408 1315.807 -1980.328 -5784.715 -4544.938 10309.99520 0.95 1423.441 1484.892 232.270 -3278.593 -4702.175 6628.97321 1.00 113.058 566.630 931.287 -952.023 -4007.908 3515.75722 1.05 -747.681 -227.833 555.505 481.772 -2786.652 1107.08623 1.10 -620.680 -109.474 10.178 846.272 -1428.056 -582.55124 1.15 25.528 755.380 -15.100 470.897 -308.910 -1694.61225 1.20 369.161 1556.810 489.732 -31.402 345.571 -2430.00126 1.25 191.826 1782.396 1022.124 -174.385 526.276 -2242.16627 1.30 -88.966 1637.789 1199.497 49.049 431.172 -1662.24528 1.35 -113.771 1518.971 983.875 373.129 149.591 -1451.34629 1.40 27.585 1536.196 686.526 460.395 -103.939 446.26030 1.45 60.717 1462.451 539.592 336.215 -275.849 -32.30031 1.50 -25.220 1171.791 495.206 324.025 -374.106 281.99432 1.55 -49.731 814.111 403.376 221.053 -37.447 429.78333 1.60 17.035 547.324 253.887 -436.162 -7.818 445.97634 1.65 42.967 337.338 153.111 -735.662 21.602 378.72035 1.70 -7.907 104.557 131.618 -168.688 12.971 219.10836 1.75 -30.687 -103.095 103.117 65.760 -62.894 80.07637 1.80 7.085 -198.517 25.804 -84.090 -89.668 -15.32238 1.85 15.619 -213.376 -10.438 -82.884 -74.574 -70.35039 1.90 -11.654 -227.653 64.539 -21.392 -35.534 -69.26440 1.95 1.789 -217.805 153.694 1.187 0.672 -44.28941 2.00 11.094 -152.978 130.198 1.046 -16.157 -35.348

α1

μ=90 iω ω[rad/s] 0 15 30 45

55805.814 1 0.00 62652.254 62652.254 62652.254 62652.25455768.210 2 0.05 62435.842 62436.123 62436.605 62436.59055591.323 3 0.10 61734.847 61739.291 61746.924 61746.69655089.401 4 0.15 60400.086 60422.132 60459.982 60459.10453995.847 5 0.20 58204.885 58272.308 58387.952 58387.36152089.922 6 0.25 54883.035 55039.619 55307.664 55316.54249432.934 7 0.30 50189.107 50490.958 51005.706 51058.87346589.240 8 0.35 43981.519 44485.685 45339.591 45528.22444493.099 9 0.40 36319.280 37063.779 38309.737 38817.69443568.519 10 0.45 27068.504 28029.270 29603.183 30702.36942994.995 11 0.50 17170.908 18233.479 19905.519 21851.48541453.314 12 0.55 8534.448 9542.028 10998.346 13917.24238356.828 13 0.60 2068.191 2841.155 3726.356 7429.87935537.230 14 0.65 -1898.259 -1460.767 -1410.671 2877.68233426.226 15 0.70 -3713.138 -3721.767 -4762.386 -631.59231617.673 16 0.75 -3521.375 -3969.973 -6093.092 -3096.71129325.760 17 0.80 -1999.409 -2717.222 -5526.577 -4395.18326538.803 18 0.85 -246.167 -953.532 -3760.393 -4521.66023505.557 19 0.90 818.606 384.366 -1684.366 -3643.71920515.317 20 0.95 868.136 806.089 -138.241 -2234.59017601.049 21 1.00 278.249 490.678 511.522 -846.84914857.026 22 1.05 -263.549 36.654 436.711 79.84512286.939 23 1.10 -350.309 -68.844 122.839 419.8209698.684 24 1.15 -82.272 227.960 -2.178 314.7337016.130 25 1.20 142.188 586.251 149.188 73.0865382.542 26 1.25 127.482 715.046 373.671 -45.0093359.457 27 1.30 -2.149 637.386 481.208 -10.1112687.957 28 1.35 -54.748 521.344 401.985 99.3912382.026 29 1.40 -5.914 479.382 258.470 148.16946.647 30 1.45 25.174 448.493 174.110 124.262-71.164 31 1.50 -3.531 350.889 152.518 120.329-586.644 32 1.55 -20.445 224.152 127.976 72.499-597.137 33 1.60 4.361 139.555 78.648 -134.017-681.918 34 1.65 16.509 88.161 40.843 -211.483-643.938 35 1.70 -2.966 28.155 33.283 -44.271-511.900 36 1.75 -10.059 -26.293 28.125 19.612-380.945 37 1.80 3.013 -44.112 7.396 -20.422-295.290 38 1.85 3.568 -42.682 -3.572 -20.878-199.806 39 1.90 -3.166 -45.784 14.258 -5.197122.896 40 1.95 1.476 -41.516 33.872 0.936-63.486 41 2.00 1.606 -26.732 26.745 0.446

α5

μ=

60 75 90 iω ω[rad/s] 0 15

31326.127 62652.254 62652.254 1 0.00 5549.918 5549.91831217.898 62434.723 62434.226 2 0.05 5532.756 5532.78730867.105 61717.345 61709.549 3 0.10 5475.674 5476.15530199.326 60317.743 60280.606 4 0.15 5362.472 5364.86129107.286 57989.361 57888.113 5 0.20 5168.351 5175.66727486.660 54554.320 54375.827 6 0.25 4863.898 4880.89825296.797 50120.369 49951.962 7 0.30 4421.725 4454.45822629.846 45262.358 45371.299 8 0.35 3825.939 3880.38119736.863 40897.032 41681.331 9 0.40 3083.427 3163.10216648.694 37012.779 38703.406 10 0.45 2234.059 2336.96713533.711 32994.853 35346.119 11 0.50 1354.770 1470.73910789.418 28717.442 31313.672 12 0.55 551.691 661.8978166.189 23630.159 26396.764 13 0.60 -63.420 17.1146085.717 20083.535 23600.468 14 0.65 -409.562 -379.5613935.239 17043.157 21652.508 15 0.70 -473.082 -501.0261924.511 14390.989 19937.809 16 0.75 -324.091 -396.819330.513 11733.967 17865.344 17 0.80 -95.003 -181.288-743.467 9028.478 15576.837 18 0.85 78.204 13.425-1345.852 6384.406 13213.795 19 0.90 123.452 99.895-1543.974 4092.738 11025.281 20 0.95 63.643 75.324-1406.749 2254.774 9013.074 21 1.00 -16.428 7.553-1050.830 909.178 7241.667 22 1.05 -45.461 -26.677-611.093 8.999 5684.368 23 1.10 -19.572 -2.603-224.818 -551.703 4246.519 24 1.15 13.360 45.14126.987 -900.628 2890.918 25 1.20 16.351 70.869127.094 -822.837 2093.076 26 1.25 -0.732 66.148137.456 -598.657 1216.697 27 1.30 -8.486 55.75374.657 -526.915 927.818 28 1.35 -1.392 56.5702.603 152.812 791.746 29 1.40 3.896 59.333-56.697 -32.019 -27.878 30 1.45 0.775 51.664-95.549 66.659 -53.859 31 1.50 -1.718 38.019-18.435 111.014 -202.672 32 1.55 -0.061 27.407-11.056 116.018 -190.588 33 1.60 0.584 18.9021.157 98.127 -201.649 34 1.65 -0.197 9.6784.366 56.283 -179.545 35 1.70 0.066 2.306-9.962 21.745 -135.769 36 1.75 0.012 -2.245-16.307 -0.905 -96.407 37 1.80 -0.266 -5.529-14.878 -13.600 -71.294 38 1.85 0.339 -6.693-7.978 -13.472 -46.238 39 1.90 -0.022 -6.203-0.689 -8.496 25.667 40 1.95 -0.380 -5.961-2.771 -7.126 -13.720 41 2.00 0.464 -4.579

30 45 60 75 90

5549.918 5549.918 5549.918 5549.918 5549.9185530.760 5530.788 5530.753 5530.688 5530.6565468.849 5469.288 5468.742 5467.721 5467.2165351.388 5353.589 5351.002 5346.161 5343.7845158.894 5165.794 5158.878 5145.896 5139.6364868.327 4885.169 4873.898 4852.290 4842.3894457.984 4493.317 4487.821 4473.696 4469.0343914.199 3981.145 4014.118 4056.122 4080.5803239.213 3356.246 3492.598 3673.235 3761.6262458.543 2647.894 2976.432 3377.139 3553.4751625.079 1906.062 2500.957 3141.493 3397.078816.491 1192.508 2056.778 2872.687 3180.520123.254 566.262 1601.272 2508.933 2869.545-372.647 70.404 1110.455 2091.970 2542.556-623.554 -273.072 618.775 1705.377 2269.113-636.758 -460.377 197.331 1373.750 2029.055-478.222 -502.517 -102.984 1068.668 1779.363-252.213 -427.249 -276.470 775.969 1520.056-61.261 -281.773 -343.581 511.039 1273.20435.507 -125.494 -329.056 291.915 1050.69541.746 -10.460 -258.687 125.405 854.0797.362 39.158 -161.917 10.414 683.532-13.770 33.643 -68.485 -59.018 537.913-1.215 5.436 -1.152 -95.968 406.02327.339 -13.589 30.502 -112.687 283.75343.585 -10.349 32.589 -95.123 210.05138.413 6.577 19.778 -64.694 129.60824.988 19.093 1.345 -48.834 99.15317.894 16.905 -10.844 14.594 82.56417.257 7.454 -15.578 3.483 10.46815.121 5.299 -15.825 13.129 4.9759.539 4.662 0.681 16.218 -9.9185.226 -9.257 2.037 14.815 -10.8634.169 -15.902 1.835 11.095 -13.2203.524 -4.052 0.035 5.614 -12.4361.689 0.567 -3.221 1.341 -9.5580.183 -1.782 -3.663 -1.232 -6.8210.178 -1.137 -2.352 -2.367 -5.1011.300 -0.261 -0.670 -2.052 -3.2712.476 -0.236 0.327 -1.192 2.5162.309 -0.073 -0.504 -0.681 -0.856

F0s=aw*(-ω*α3)

aw= 1

iω ω[rad/s] 0 15 30 45 60 75

1 0.00 0.000 0.000 0.000 0.000 0.000 0.0002 0.05 7.647 7.647 7.647 7.647 7.647 7.6463 0.10 60.485 60.490 60.497 60.497 60.485 60.4694 0.15 199.718 199.791 199.918 199.919 199.723 199.4585 0.20 456.162 456.694 457.613 457.631 456.305 454.5646 0.25 839.943 842.358 846.519 846.758 841.629 835.3187 0.30 1326.846 1334.887 1348.694 1350.438 1338.532 1326.3298 0.35 1845.331 1866.650 1903.008 1911.807 1901.529 1902.3749 0.40 2272.530 2319.492 2398.641 2432.352 2475.507 2566.126

10 0.45 2334.137 2417.765 2555.850 2654.405 2882.549 3206.53011 0.50 1841.678 1957.199 2140.852 2356.732 2926.424 3571.84412 0.55 1058.043 1186.061 1373.693 1750.190 2728.440 3640.86513 0.60 254.409 359.538 482.270 994.009 2220.468 3232.73814 0.65 -289.280 -229.523 -225.089 379.894 1701.989 2841.13015 0.70 -513.795 -518.011 -667.865 -112.425 1055.896 2336.97916 0.75 -419.841 -476.502 -743.244 -395.193 445.963 1755.77217 0.80 -221.915 -303.743 -630.463 -514.103 56.740 1360.47518 0.85 -28.410 -94.922 -366.995 -445.842 -161.806 902.68019 0.90 54.317 18.777 -153.981 -317.168 -247.303 571.95420 0.95 45.183 38.819 -27.404 -164.333 -232.532 308.02621 1.00 14.221 21.152 11.738 -60.492 -178.780 144.13322 1.05 3.023 12.282 10.711 -10.372 -103.574 42.35123 1.10 6.699 20.683 11.446 0.282 -47.706 -8.23624 1.15 2.853 24.639 20.060 -2.878 -10.753 -31.45125 1.20 -11.066 13.771 23.932 -0.257 2.164 -40.05126 1.25 -12.436 7.525 14.749 10.158 1.078 -35.05827 1.30 3.702 21.022 4.323 17.877 -3.043 -25.03528 1.35 12.903 38.082 6.341 15.064 -7.513 -20.65029 1.40 1.000 35.760 18.676 3.044 -8.000 16.06430 1.45 -10.564 19.147 23.413 -5.923 -5.705 7.69631 1.50 -1.750 14.164 12.192 0.032 -4.227 14.19232 1.55 8.589 22.068 -0.066 9.380 7.364 16.57733 1.60 0.496 18.482 2.129 -1.600 4.073 15.37534 1.65 -6.886 2.484 10.128 -15.641 -0.613 11.75535 1.70 1.440 -2.349 7.288 -9.384 -4.520 5.69536 1.75 4.622 2.265 -1.769 -2.896 -7.332 0.36437 1.80 -3.023 -2.843 -2.163 -0.947 -5.282 -3.24638 1.85 -1.654 -9.560 3.182 1.521 -1.475 -5.02639 1.90 3.120 -5.524 3.447 -0.233 1.086 -4.51840 1.95 -0.991 -3.506 2.073 -2.534 1.229 -2.84941 2.00 -1.457 -6.384 4.039 -0.816 -1.804 -1.581

α3

μ=

90 iω ω[rad/s] 0 15 30 45

0.000 1 0.00 0.000 0.000 0.000 0.0007.646 2 0.05 3058.624 3058.638 3058.662 3058.66260.461 3 0.10 6048.525 6048.963 6049.722 6049.718199.337 4 0.15 8876.350 8879.615 8885.257 8885.268453.780 5 0.20 11404.038 11417.348 11440.332 11440.786832.625 6 0.25 13439.087 13477.720 13544.305 13548.1211321.991 7 0.30 14742.737 14832.083 14985.493 15004.8681907.208 8 0.35 15063.931 15237.959 15534.763 15606.5882615.770 9 0.40 14203.315 14496.823 14991.509 15202.1993353.725 10 0.45 11526.601 11939.582 12621.483 13108.1713827.962 11 0.50 7366.710 7828.798 8563.408 9426.9303973.643 12 0.55 3497.661 3920.861 4541.133 5785.7533618.454 13 0.60 706.691 998.716 1339.639 2761.1363349.732 14 0.65 -684.686 -543.250 -532.755 899.1582984.353 15 0.70 -1048.562 -1057.166 -1362.989 -229.4382452.760 16 0.75 -746.384 -847.115 -1321.322 -702.5642095.577 17 0.80 -346.742 -474.599 -985.099 -803.2861584.228 18 0.85 -39.322 -131.380 -507.951 -617.0831213.906 19 0.90 67.058 23.181 -190.100 -391.565863.701 20 0.95 50.064 43.013 -30.365 -182.087621.459 21 1.00 14.221 21.152 11.738 -60.492415.698 22 1.05 2.742 11.140 9.715 -9.407292.045 23 1.10 5.536 17.093 9.459 0.233188.825 24 1.15 2.157 18.631 15.168 -2.176118.591 25 1.20 -7.685 9.563 16.620 -0.17991.814 26 1.25 -7.959 4.816 9.439 6.50163.762 27 1.30 2.191 12.439 2.558 10.57855.664 28 1.35 7.080 20.895 3.479 8.26552.951 29 1.40 0.510 18.245 9.528 1.5538.108 30 1.45 -5.024 9.107 11.136 -2.8175.509 31 1.50 -0.778 6.295 5.419 0.014-6.463 32 1.55 3.575 9.186 -0.027 3.904-7.754 33 1.60 0.194 7.220 0.832 -0.625-11.000 34 1.65 -2.529 0.913 3.720 -5.745-11.325 35 1.70 0.498 -0.813 2.522 -3.247-9.066 36 1.75 1.509 0.740 -0.578 -0.946-6.557 37 1.80 -0.933 -0.878 -0.668 -0.292-5.067 38 1.85 -0.483 -2.793 0.930 0.444-3.061 39 1.90 0.864 -1.530 0.955 -0.0656.318 40 1.95 -0.261 -0.922 0.545 -0.666-0.050 41 2.00 -0.364 -1.596 1.010 -0.204

60 75 90

0.000 0.000 0.0003058.624 3058.572 3058.5486048.519 6046.887 6046.1318876.560 8864.819 8859.42111407.636 11364.105 11344.50013466.065 13365.089 13322.00214872.583 14736.992 14688.78515522.687 15529.586 15569.04415471.916 16038.288 16348.56314234.811 15834.718 16561.60511705.695 14287.374 15311.8479019.635 12035.918 13136.0126167.966 8979.828 10051.2614028.376 6724.567 7928.3602154.889 4769.345 6090.517792.823 3121.373 4360.46388.655 2125.742 3274.339-223.952 1249.384 2192.703-305.313 706.116 1498.650-257.653 341.303 957.010-178.780 144.133 621.459-93.945 38.414 377.050-39.426 -6.807 241.360-8.131 -23.781 142.7791.503 -27.813 82.3550.690 -22.437 58.761-1.801 -14.814 37.729-4.122 -11.330 30.542-4.082 8.196 27.016-2.713 3.660 3.856-1.879 6.308 2.4483.065 6.900 -2.6901.591 6.006 -3.029-0.225 4.318 -4.041-1.564 1.970 -3.919-2.394 0.119 -2.960-1.630 -1.002 -2.024-0.431 -1.468 -1.4810.301 -1.252 -0.8480.323 -0.749 1.661-0.451 -0.395 -0.012

F0=(F0c^2+F0s^2)^(1/2)

iω ω[rad/s] 0 15 30 45 60 75

1 0.00 55805.814 55805.814 55805.814 55805.814 55805.814 55805.8142 0.05 55789.337 55789.643 55769.269 55769.547 55691.150 55768.5363 0.10 55676.649 55681.530 55608.142 55612.562 55298.274 55596.5064 0.15 55280.359 55304.881 55170.251 55192.371 54485.511 55114.4955 0.20 54299.168 54375.435 54211.421 54280.778 53040.062 54064.7576 0.25 52344.635 52525.382 52415.813 52585.695 50733.165 52207.3227 0.30 48996.543 49352.931 49435.055 49795.044 47421.770 49512.7348 0.35 43897.308 44506.863 44952.647 45648.663 43177.004 46369.0049 0.40 36885.791 37807.204 38774.918 40032.686 38356.806 43554.485

10 0.45 28042.700 29274.729 30822.064 32949.558 33424.659 41576.90111 0.50 18009.688 19445.759 21424.186 24741.300 28680.859 39997.01712 0.55 8197.623 9615.432 11618.512 16295.197 24100.163 37748.60613 0.60 275.936 1247.824 2625.511 8427.487 19170.054 33889.34214 0.65 4928.757 4439.690 4348.896 1960.902 13842.152 29656.98115 0.70 6596.431 6881.131 8629.441 3057.357 8218.316 25606.00816 0.75 5256.387 6241.435 9858.182 6383.354 3099.001 21978.57717 0.80 2245.887 3574.846 8369.428 7882.629 825.955 18306.08918 0.85 609.173 562.009 5265.750 7576.127 3321.069 14354.04419 0.90 1905.183 1315.941 1986.305 5793.403 4551.661 10325.84720 0.95 1424.158 1485.400 233.881 3282.709 4707.921 6636.12621 1.00 113.949 567.024 931.361 953.943 4011.894 3518.71022 1.05 747.687 228.164 555.608 481.884 2788.576 1107.89623 1.10 620.716 111.411 15.317 846.272 1428.852 582.60924 1.15 25.687 755.782 25.108 470.905 309.097 1694.90425 1.20 369.327 1556.871 490.317 31.403 345.578 2430.33126 1.25 192.229 1782.412 1022.230 174.681 526.277 2242.44027 1.30 89.043 1637.924 1199.505 52.205 431.183 1662.43428 1.35 114.500 1519.448 983.895 373.433 149.780 1451.49329 1.40 27.603 1536.612 686.780 460.405 104.247 446.54930 1.45 61.629 1462.576 540.100 336.268 275.908 33.20531 1.50 25.280 1171.877 495.356 324.025 374.130 282.35132 1.55 50.468 814.410 403.376 221.252 38.164 430.10233 1.60 17.043 547.636 253.896 436.165 8.815 446.24134 1.65 43.515 337.347 153.446 735.828 21.610 378.90235 1.70 8.037 104.583 131.819 168.948 13.736 219.18236 1.75 31.033 103.120 103.132 65.823 63.320 80.07737 1.80 7.703 198.538 25.894 84.095 89.824 15.66238 1.85 15.706 213.590 10.912 82.898 74.588 70.52939 1.90 12.065 227.720 64.631 21.393 35.551 69.41140 1.95 2.045 217.833 153.708 2.798 1.401 44.38141 2.00 11.189 153.111 130.260 1.326 16.258 35.384

F0c=aw*(-ω^2*α1+ρ*g*α5)

90 iω ω[rad/s] 0 15 30

55805.814 1 0.00 55805.814 55805.814 55805.81455768.211 2 0.05 55789.337 55789.643 55769.26855591.356 3 0.10 55676.617 55681.498 55608.10955089.761 4 0.15 55279.999 55304.520 55169.88953997.753 5 0.20 54297.252 54373.517 54209.48952096.576 6 0.25 52337.896 52518.627 52408.97649450.608 7 0.30 48978.574 49334.875 49416.65446628.261 8 0.35 43858.505 44467.701 44912.34944569.924 9 0.40 36815.719 37735.986 38700.65643697.406 10 0.45 27945.390 29174.718 30715.91243165.066 11 0.50 17915.275 19347.013 21316.95441643.332 12 0.55 8129.057 9542.001 11537.01838527.127 13 0.60 106.849 1194.905 2580.83835694.753 14 0.65 -4920.260 -4433.753 -4343.06733559.186 15 0.70 -6576.390 -6861.606 -8603.55731712.668 16 0.75 -5239.593 -6223.220 -9830.12529400.538 17 0.80 -2234.896 -3561.918 -8345.64826586.046 18 0.85 608.510 -553.935 -5252.94623536.881 19 0.90 1904.408 1315.807 -1980.32820533.490 20 0.95 1423.441 1484.892 232.27017612.017 21 1.00 113.058 566.630 931.28714862.841 22 1.05 -747.681 -227.833 555.50512290.410 23 1.10 -620.680 -109.474 10.1789700.521 24 1.15 25.528 755.380 -15.1007017.132 25 1.20 369.161 1556.810 489.7325383.325 26 1.25 191.826 1782.396 1022.1243360.062 27 1.30 -88.966 1637.789 1199.4972688.533 28 1.35 -113.771 1518.971 983.8752382.615 29 1.40 27.585 1536.196 686.52647.347 30 1.45 60.717 1462.451 539.59271.376 31 1.50 -25.220 1171.791 495.206586.680 32 1.55 -49.731 814.111 403.376597.187 33 1.60 17.035 547.324 253.887682.007 34 1.65 42.967 337.338 153.111644.037 35 1.70 -7.907 104.557 131.618511.981 36 1.75 -30.687 -103.095 103.117381.002 37 1.80 7.085 -198.517 25.804295.334 38 1.85 15.619 -213.376 -10.438199.830 39 1.90 -11.654 -227.653 64.539123.058 40 1.95 1.789 -217.805 153.69463.486 41 2.00 11.094 -152.978 130.198

F0s=aw*(-ω*α3)

45 60 75 90 iω ω[rad/s] 0

55805.814 55805.814 55805.814 55805.814 1 0.00 0.00055769.547 55691.149 55768.536 55768.210 2 0.05 7.64755612.529 55298.241 55596.473 55591.323 3 0.10 60.48555192.009 54485.145 55114.134 55089.401 4 0.15 199.71854278.848 53038.099 54062.846 53995.847 5 0.20 456.16252578.877 50726.184 52200.639 52089.922 6 0.25 839.94349776.728 47402.875 49494.966 49432.934 7 0.30 1326.84645608.612 43135.112 46329.963 46589.240 8 0.35 1845.33139958.723 38276.839 43478.824 44493.099 9 0.40 2272.53032842.465 33300.131 41453.069 43568.519 10 0.45 2334.13724628.799 28531.171 39837.210 42994.995 11 0.50 1841.67816200.934 23945.218 37572.615 41453.314 12 0.55 1058.0438368.661 19041.021 33734.803 38356.828 13 0.60 254.4091923.750 13737.118 29520.577 35537.230 14 0.65 -289.280-3055.290 8150.203 25499.141 33426.226 15 0.70 -513.795-6371.109 3066.745 21908.334 31617.673 16 0.75 -419.841-7865.847 -824.004 18255.465 29325.760 17 0.80 -221.915-7562.997 -3317.125 14325.633 26538.803 18 0.85 -28.410-5784.715 -4544.938 10309.995 23505.557 19 0.90 54.317-3278.593 -4702.175 6628.973 20515.317 20 0.95 45.183-952.023 -4007.908 3515.757 17601.049 21 1.00 14.221481.772 -2786.652 1107.086 14857.026 22 1.05 3.023846.272 -1428.056 -582.551 12286.939 23 1.10 6.699470.897 -308.910 -1694.612 9698.684 24 1.15 2.853-31.402 345.571 -2430.001 7016.130 25 1.20 -11.066-174.385 526.276 -2242.166 5382.542 26 1.25 -12.43649.049 431.172 -1662.245 3359.457 27 1.30 3.702373.129 149.591 -1451.346 2687.957 28 1.35 12.903460.395 -103.939 446.260 2382.026 29 1.40 1.000336.215 -275.849 -32.300 46.647 30 1.45 -10.564324.025 -374.106 281.994 -71.164 31 1.50 -1.750221.053 -37.447 429.783 -586.644 32 1.55 8.589-436.162 -7.818 445.976 -597.137 33 1.60 0.496-735.662 21.602 378.720 -681.918 34 1.65 -6.886-168.688 12.971 219.108 -643.938 35 1.70 1.44065.760 -62.894 80.076 -511.900 36 1.75 4.622-84.090 -89.668 -15.322 -380.945 37 1.80 -3.023-82.884 -74.574 -70.350 -295.290 38 1.85 -1.654-21.392 -35.534 -69.264 -199.806 39 1.90 3.1201.187 0.672 -44.289 122.896 40 1.95 -0.9911.046 -16.157 -35.348 -63.486 41 2.00 -1.457

15 30 45 60 75 90

0.000 0.000 0.000 0.000 0.000 0.0007.647 7.647 7.647 7.647 7.646 7.64660.490 60.497 60.497 60.485 60.469 60.461199.791 199.918 199.919 199.723 199.458 199.337456.694 457.613 457.631 456.305 454.564 453.780842.358 846.519 846.758 841.629 835.318 832.6251334.887 1348.694 1350.438 1338.532 1326.329 1321.9911866.650 1903.008 1911.807 1901.529 1902.374 1907.2082319.492 2398.641 2432.352 2475.507 2566.126 2615.7702417.765 2555.850 2654.405 2882.549 3206.530 3353.7251957.199 2140.852 2356.732 2926.424 3571.844 3827.9621186.061 1373.693 1750.190 2728.440 3640.865 3973.643359.538 482.270 994.009 2220.468 3232.738 3618.454-229.523 -225.089 379.894 1701.989 2841.130 3349.732-518.011 -667.865 -112.425 1055.896 2336.979 2984.353-476.502 -743.244 -395.193 445.963 1755.772 2452.760-303.743 -630.463 -514.103 56.740 1360.475 2095.577-94.922 -366.995 -445.842 -161.806 902.680 1584.22818.777 -153.981 -317.168 -247.303 571.954 1213.90638.819 -27.404 -164.333 -232.532 308.026 863.70121.152 11.738 -60.492 -178.780 144.133 621.45912.282 10.711 -10.372 -103.574 42.351 415.69820.683 11.446 0.282 -47.706 -8.236 292.04524.639 20.060 -2.878 -10.753 -31.451 188.82513.771 23.932 -0.257 2.164 -40.051 118.5917.525 14.749 10.158 1.078 -35.058 91.81421.022 4.323 17.877 -3.043 -25.035 63.76238.082 6.341 15.064 -7.513 -20.650 55.66435.760 18.676 3.044 -8.000 16.064 52.95119.147 23.413 -5.923 -5.705 7.696 8.10814.164 12.192 0.032 -4.227 14.192 5.50922.068 -0.066 9.380 7.364 16.577 -6.46318.482 2.129 -1.600 4.073 15.375 -7.7542.484 10.128 -15.641 -0.613 11.755 -11.000-2.349 7.288 -9.384 -4.520 5.695 -11.3252.265 -1.769 -2.896 -7.332 0.364 -9.066-2.843 -2.163 -0.947 -5.282 -3.246 -6.557-9.560 3.182 1.521 -1.475 -5.026 -5.067-5.524 3.447 -0.233 1.086 -4.518 -3.061-3.506 2.073 -2.534 1.229 -2.849 6.318-6.384 4.039 -0.816 -1.804 -1.581 -0.050

ζst=F0/cz

cz= 55689.997

iω ω[rad/s] 0 15 30 45 60 75

1 0.00 1.002 1.002 1.002 1.002 1.002 1.0022 0.05 1.002 1.002 1.001 1.001 1.000 1.0013 0.10 1.000 1.000 0.999 0.999 0.993 0.9984 0.15 0.993 0.993 0.991 0.991 0.978 0.9905 0.20 0.975 0.976 0.973 0.975 0.952 0.9716 0.25 0.940 0.943 0.941 0.944 0.911 0.9377 0.30 0.880 0.886 0.888 0.894 0.852 0.8898 0.35 0.788 0.799 0.807 0.820 0.775 0.8339 0.40 0.662 0.679 0.696 0.719 0.689 0.782

10 0.45 0.504 0.526 0.553 0.592 0.600 0.74711 0.50 0.323 0.349 0.385 0.444 0.515 0.71812 0.55 0.147 0.173 0.209 0.293 0.433 0.67813 0.60 0.005 0.022 0.047 0.151 0.344 0.60914 0.65 0.089 0.080 0.078 0.035 0.249 0.53315 0.70 0.118 0.124 0.155 0.055 0.148 0.46016 0.75 0.094 0.112 0.177 0.115 0.056 0.39517 0.80 0.040 0.064 0.150 0.142 0.015 0.32918 0.85 0.011 0.010 0.095 0.136 0.060 0.25819 0.90 0.034 0.024 0.036 0.104 0.082 0.18520 0.95 0.026 0.027 0.004 0.059 0.085 0.11921 1.00 0.002 0.010 0.017 0.017 0.072 0.06322 1.05 0.013 0.004 0.010 0.009 0.050 0.02023 1.10 0.011 0.002 0.000 0.015 0.026 0.01024 1.15 0.000 0.014 0.000 0.008 0.006 0.03025 1.20 0.007 0.028 0.009 0.001 0.006 0.04426 1.25 0.003 0.032 0.018 0.003 0.009 0.04027 1.30 0.002 0.029 0.022 0.001 0.008 0.03028 1.35 0.002 0.027 0.018 0.007 0.003 0.02629 1.40 0.000 0.028 0.012 0.008 0.002 0.00830 1.45 0.001 0.026 0.010 0.006 0.005 0.00131 1.50 0.000 0.021 0.009 0.006 0.007 0.00532 1.55 0.001 0.015 0.007 0.004 0.001 0.00833 1.60 0.000 0.010 0.005 0.008 0.000 0.00834 1.65 0.001 0.006 0.003 0.013 0.000 0.00735 1.70 0.000 0.002 0.002 0.003 0.000 0.00436 1.75 0.001 0.002 0.002 0.001 0.001 0.00137 1.80 0.000 0.004 0.000 0.002 0.002 0.00038 1.85 0.000 0.004 0.000 0.001 0.001 0.00139 1.90 0.000 0.004 0.001 0.000 0.001 0.00140 1.95 0.000 0.004 0.003 0.000 0.000 0.00141 2.00 0.000 0.003 0.002 0.000 0.000 0.001

F0=(F0c^2+F0s^2)^(1/2)

90 iω ω[rad/s] 0 15 30 45

1.002 1 0.00 55805.814 55805.814 55805.814 55805.8141.001 2 0.05 55789.337 55789.643 55769.269 55769.5470.998 3 0.10 55676.649 55681.530 55608.142 55612.5620.989 4 0.15 55280.359 55304.881 55170.251 55192.3710.970 5 0.20 54299.168 54375.435 54211.421 54280.7780.935 6 0.25 52344.635 52525.382 52415.813 52585.6950.888 7 0.30 48996.543 49352.931 49435.055 49795.0440.837 8 0.35 43897.308 44506.863 44952.647 45648.6630.800 9 0.40 36885.791 37807.204 38774.918 40032.6860.785 10 0.45 28042.700 29274.729 30822.064 32949.5580.775 11 0.50 18009.688 19445.759 21424.186 24741.3000.748 12 0.55 8197.623 9615.432 11618.512 16295.1970.692 13 0.60 275.936 1247.824 2625.511 8427.4870.641 14 0.65 4928.757 4439.690 4348.896 1960.9020.603 15 0.70 6596.431 6881.131 8629.441 3057.3570.569 16 0.75 5256.387 6241.435 9858.182 6383.3540.528 17 0.80 2245.887 3574.846 8369.428 7882.6290.477 18 0.85 609.173 562.009 5265.750 7576.1270.423 19 0.90 1905.183 1315.941 1986.305 5793.4030.369 20 0.95 1424.158 1485.400 233.881 3282.7090.316 21 1.00 113.949 567.024 931.361 953.9430.267 22 1.05 747.687 228.164 555.608 481.8840.221 23 1.10 620.716 111.411 15.317 846.2720.174 24 1.15 25.687 755.782 25.108 470.9050.126 25 1.20 369.327 1556.871 490.317 31.4030.097 26 1.25 192.229 1782.412 1022.230 174.6810.060 27 1.30 89.043 1637.924 1199.505 52.2050.048 28 1.35 114.500 1519.448 983.895 373.4330.043 29 1.40 27.603 1536.612 686.780 460.4050.001 30 1.45 61.629 1462.576 540.100 336.2680.001 31 1.50 25.280 1171.877 495.356 324.0250.011 32 1.55 50.468 814.410 403.376 221.2520.011 33 1.60 17.043 547.636 253.896 436.1650.012 34 1.65 43.515 337.347 153.446 735.8280.012 35 1.70 8.037 104.583 131.819 168.9480.009 36 1.75 31.033 103.120 103.132 65.8230.007 37 1.80 7.703 198.538 25.894 84.0950.005 38 1.85 15.706 213.590 10.912 82.8980.004 39 1.90 12.065 227.720 64.631 21.3930.002 40 1.95 2.045 217.833 153.708 2.7980.001 41 2.00 11.189 153.111 130.260 1.326

60 75 90

55805.814 55805.814 55805.81455691.150 55768.536 55768.21155298.274 55596.506 55591.35654485.511 55114.495 55089.76153040.062 54064.757 53997.75350733.165 52207.322 52096.57647421.770 49512.734 49450.60843177.004 46369.004 46628.26138356.806 43554.485 44569.92433424.659 41576.901 43697.40628680.859 39997.017 43165.06624100.163 37748.606 41643.33219170.054 33889.342 38527.12713842.152 29656.981 35694.7538218.316 25606.008 33559.1863099.001 21978.577 31712.668825.955 18306.089 29400.5383321.069 14354.044 26586.0464551.661 10325.847 23536.8814707.921 6636.126 20533.4904011.894 3518.710 17612.0172788.576 1107.896 14862.8411428.852 582.609 12290.410309.097 1694.904 9700.521345.578 2430.331 7017.132526.277 2242.440 5383.325431.183 1662.434 3360.062149.780 1451.493 2688.533104.247 446.549 2382.615275.908 33.205 47.347374.130 282.351 71.37638.164 430.102 586.6808.815 446.241 597.18721.610 378.902 682.00713.736 219.182 644.03763.320 80.077 511.98189.824 15.662 381.00274.588 70.529 295.33435.551 69.411 199.8301.401 44.381 123.05816.258 35.384 63.486

ψz

ωz= 0.659 rad/s

iω ω[rad/s] 2νz β1 β2 ψ z

1 0.00 0 1.000 0.000 1.0002 0.05 0.022 0.994 0.005 1.0063 0.10 0.044 0.977 0.020 1.0234 0.15 0.067 0.948 0.046 1.0535 0.20 0.089 0.908 0.082 1.0976 0.25 0.111 0.856 0.128 1.1557 0.30 0.133 0.793 0.184 1.2298 0.35 0.156 0.718 0.251 1.3159 0.40 0.178 0.632 0.328 1.405

10 0.45 0.192 0.534 0.398 1.50211 0.50 0.189 0.424 0.436 1.64312 0.55 0.178 0.304 0.450 1.84313 0.60 0.155 0.171 0.428 2.16814 0.65 0.138 0.027 0.412 2.42115 0.70 0.117 -0.128 0.378 2.50616 0.75 0.093 -0.295 0.320 2.29717 0.80 0.079 -0.473 0.290 1.80218 0.85 0.061 -0.663 0.240 1.41819 0.90 0.050 -0.865 0.206 1.12520 0.95 0.038 -1.078 0.168 0.91721 1.00 0.031 -1.302 0.141 0.76322 1.05 0.023 -1.538 0.112 0.64823 1.10 0.019 -1.786 0.095 0.55924 1.15 0.015 -2.045 0.077 0.48925 1.20 0.012 -2.315 0.066 0.43226 1.25 0.011 -2.597 0.065 0.38527 1.30 0.012 -2.891 0.071 0.34628 1.35 0.012 -3.196 0.076 0.31329 1.40 0.013 -3.512 0.082 0.28530 1.45 0.013 -3.840 0.088 0.26031 1.50 0.014 -4.180 0.094 0.23932 1.55 0.014 -4.531 0.101 0.22133 1.60 0.015 -4.894 0.107 0.20434 1.65 0.015 -5.268 0.114 0.19035 1.70 0.015 -5.653 0.121 0.17736 1.75 0.016 -6.051 0.128 0.16537 1.80 0.016 -6.459 0.136 0.15538 1.85 0.017 -6.879 0.143 0.14539 1.90 0.017 -7.311 0.151 0.13740 1.95 0.018 -7.754 0.159 0.12941 2.00 0.018 -8.209 0.167 0.122

Hz

iω ω[rad/s] Hz_0 Hz_15 Hz_30 Hz_45 Hz_60 Hz_75 Hz_90

1 0.00 1.002 1.002 1.002 1.002 1.002 1.002 1.0022 0.05 1.008 1.008 1.007 1.007 1.006 1.007 1.0073 0.10 1.023 1.023 1.022 1.022 1.016 1.022 1.0224 0.15 1.046 1.046 1.044 1.044 1.031 1.043 1.0425 0.20 1.070 1.071 1.068 1.069 1.045 1.065 1.0646 0.25 1.086 1.090 1.087 1.091 1.052 1.083 1.0817 0.30 1.081 1.089 1.091 1.099 1.046 1.092 1.0918 0.35 1.036 1.051 1.061 1.078 1.019 1.095 1.1019 0.40 0.931 0.954 0.979 1.010 0.968 1.099 1.125

10 0.45 0.756 0.789 0.831 0.888 0.901 1.121 1.17811 0.50 0.531 0.574 0.632 0.730 0.846 1.180 1.27412 0.55 0.271 0.318 0.385 0.539 0.798 1.249 1.37813 0.60 0.011 0.049 0.102 0.328 0.746 1.320 1.50014 0.65 0.214 0.193 0.189 0.085 0.602 1.289 1.55215 0.70 0.297 0.310 0.388 0.138 0.370 1.152 1.51016 0.75 0.217 0.257 0.407 0.263 0.128 0.907 1.30817 0.80 0.073 0.116 0.271 0.255 0.027 0.592 0.95118 0.85 0.016 0.014 0.134 0.193 0.085 0.365 0.67719 0.90 0.038 0.027 0.040 0.117 0.092 0.209 0.47520 0.95 0.023 0.024 0.004 0.054 0.078 0.109 0.33821 1.00 0.002 0.008 0.013 0.013 0.055 0.048 0.24122 1.05 0.009 0.003 0.006 0.006 0.032 0.013 0.17323 1.10 0.006 0.001 0.000 0.008 0.014 0.006 0.12324 1.15 0.000 0.007 0.000 0.004 0.003 0.015 0.08525 1.20 0.003 0.012 0.004 0.000 0.003 0.019 0.05426 1.25 0.001 0.012 0.007 0.001 0.004 0.015 0.03727 1.30 0.001 0.010 0.007 0.000 0.003 0.010 0.02128 1.35 0.001 0.009 0.006 0.002 0.001 0.008 0.01529 1.40 0.000 0.008 0.004 0.002 0.001 0.002 0.01230 1.45 0.000 0.007 0.003 0.002 0.001 0.000 0.00031 1.50 0.000 0.005 0.002 0.001 0.002 0.001 0.00032 1.55 0.000 0.003 0.002 0.001 0.000 0.002 0.00233 1.60 0.000 0.002 0.001 0.002 0.000 0.002 0.00234 1.65 0.000 0.001 0.001 0.003 0.000 0.001 0.00235 1.70 0.000 0.000 0.000 0.001 0.000 0.001 0.00236 1.75 0.000 0.000 0.000 0.000 0.000 0.000 0.00237 1.80 0.000 0.001 0.000 0.000 0.000 0.000 0.00138 1.85 0.000 0.001 0.000 0.000 0.000 0.000 0.00139 1.90 0.000 0.001 0.000 0.000 0.000 0.000 0.00040 1.95 0.000 0.001 0.000 0.000 0.000 0.000 0.00041 2.00 0.000 0.000 0.000 0.000 0.000 0.000 0.000

0.00 0.50 1.00 1.50 2.00 2.500.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

Hz_0

H0_15

Hz_30

Hz_45

Hz_60

Hz_75

Hz_90

0.00 0.50 1.00 1.50 2.00 2.500.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

Hz_0

H0_15

Hz_30

Hz_45

Hz_60

Hz_75

Hz_90

ζst=F0/cz

cz= 55689.997

ψ z iω ω[rad/s] 0 15 30 45 60

1.000 1 0.00 1.002 1.002 1.002 1.002 1.0021.006 2 0.05 1.002 1.002 1.001 1.001 1.0001.023 3 0.10 1.000 1.000 0.999 0.999 0.9931.053 4 0.15 0.993 0.993 0.991 0.991 0.9781.097 5 0.20 0.975 0.976 0.973 0.975 0.9521.155 6 0.25 0.940 0.943 0.941 0.944 0.9111.229 7 0.30 0.880 0.886 0.888 0.894 0.8521.315 8 0.35 0.788 0.799 0.807 0.820 0.7751.405 9 0.40 0.662 0.679 0.696 0.719 0.6891.502 10 0.45 0.504 0.526 0.553 0.592 0.6001.643 11 0.50 0.323 0.349 0.385 0.444 0.5151.843 12 0.55 0.147 0.173 0.209 0.293 0.4332.168 13 0.60 0.005 0.022 0.047 0.151 0.3442.421 14 0.65 0.089 0.080 0.078 0.035 0.2492.506 15 0.70 0.118 0.124 0.155 0.055 0.1482.297 16 0.75 0.094 0.112 0.177 0.115 0.0561.802 17 0.80 0.040 0.064 0.150 0.142 0.0151.418 18 0.85 0.011 0.010 0.095 0.136 0.0601.125 19 0.90 0.034 0.024 0.036 0.104 0.0820.917 20 0.95 0.026 0.027 0.004 0.059 0.0850.763 21 1.00 0.002 0.010 0.017 0.017 0.0720.648 22 1.05 0.013 0.004 0.010 0.009 0.0500.559 23 1.10 0.011 0.002 0.000 0.015 0.0260.489 24 1.15 0.000 0.014 0.000 0.008 0.0060.432 25 1.20 0.007 0.028 0.009 0.001 0.0060.385 26 1.25 0.003 0.032 0.018 0.003 0.0090.346 27 1.30 0.002 0.029 0.022 0.001 0.0080.313 28 1.35 0.002 0.027 0.018 0.007 0.0030.285 29 1.40 0.000 0.028 0.012 0.008 0.0020.260 30 1.45 0.001 0.026 0.010 0.006 0.0050.239 31 1.50 0.000 0.021 0.009 0.006 0.0070.221 32 1.55 0.001 0.015 0.007 0.004 0.0010.204 33 1.60 0.000 0.010 0.005 0.008 0.0000.190 34 1.65 0.001 0.006 0.003 0.013 0.0000.177 35 1.70 0.000 0.002 0.002 0.003 0.0000.165 36 1.75 0.001 0.002 0.002 0.001 0.0010.155 37 1.80 0.000 0.004 0.000 0.002 0.0020.145 38 1.85 0.000 0.004 0.000 0.001 0.0010.137 39 1.90 0.000 0.004 0.001 0.000 0.0010.129 40 1.95 0.000 0.004 0.003 0.000 0.0000.122 41 2.00 0.000 0.003 0.002 0.000 0.000

0.00 0.50 1.00 1.50 2.00 2.500.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

Hz_0

H0_15

Hz_30

Hz_45

Hz_60

Hz_75

Hz_90

0.00 0.50 1.00 1.50 2.00 2.500.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

Hz_0

H0_15

Hz_30

Hz_45

Hz_60

Hz_75

Hz_90

75 90

1.002 1.0021.001 1.0010.998 0.9980.990 0.9890.971 0.9700.937 0.9350.889 0.8880.833 0.8370.782 0.8000.747 0.7850.718 0.7750.678 0.7480.609 0.6920.533 0.6410.460 0.6030.395 0.5690.329 0.5280.258 0.4770.185 0.4230.119 0.3690.063 0.3160.020 0.2670.010 0.2210.030 0.1740.044 0.1260.040 0.0970.030 0.0600.026 0.0480.008 0.0430.001 0.0010.005 0.0010.008 0.0110.008 0.0110.007 0.0120.004 0.0120.001 0.0090.000 0.0070.001 0.0050.001 0.0040.001 0.0020.001 0.001