Anti Rollling Tanks-project
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Damped Os T a ω x đx/đt 0 5 4 5 20 -80 5 5 4 6.60513656 -10.0973 -105.682 10 5 4 0.39087549 -28.241 -6.25401 15 5 4 -6.286118 -12.952 100.5779 20 5 4 -5.5213795 17.67003 88.34207 25 5 4 1.77976616 27.37369 -28.4763 30 5 4 6.97396077 4.671396 -111.583 35 5 4 3.91213043 -23.5611 -62.5941 40 5 4 -3.7810203 -23.9011 60.49632 45 5 4 -6.9980635 4.053851 111.969 50 5 4 -1.9305481 27.2097 30.88877 55 5 4 5.42241942 18.15373 -86.7587 60 5 4 6.3561323 -12.3933 -101.698 65 5 4 -0.2347723 -28.2687 3.756356 70 5 4 -6.547745 -10.6786 104.7639 75 5 4 -5.1092623 19.55318 81.7482 80 5 4 2.37774842 26.63721 -38.044 85 5 4 7.04989525 2.187151 -112.798 90 5 4 3.37612316 -24.8521 -54.018 95 5 4 -4.2944247 -22.4706 68.71079 100 5 4 -6.8810785 6.51246 110.0973 105 5 4 -1.3216647 27.78581 21.14664 . 110 5 4 5.80238314 16.16532 -92.8381 115 5 4 6.0573617 -14.5923 -96.9178 120 5 4 -0.8585818 -28.075 13.73731 125 5 4 -6.7581054 -8.32155 108.1297 130 5 4 -4.6571413 21.28325 74.51426 135 5 4 2.95711373 25.69217 -47.3138 140 5 4 7.07063146 -0.31422 -113.13 145 5 4 2.813682 -25.9486 -45.0189 150 5 4 -4.7742052 -20.8641 76.38728 155 5 4 -6.710217 8.920079 107.3635 160 5 4 -0.7024332 28.14437 11.23893 165 5 4 6.13691619 14.05034 -98.1907 170 5 4 5.71116402 -16.677 -91.3786 175 5 4 -1.475669 -27.6615 23.6107 180 5 4 -6.9155521 -5.89934 110.6488 185 5 4 -4.1685565 22.84667 66.6969 190 5 4 3.51332584 24.54597 -56.2132 195 5 4 7.03600704 -2.81313 -112.576 đ 2 x/đt 2
description
project on anti rolling tanks
Transcript of Anti Rollling Tanks-project
SHMDamped Oscillations
T a ω x đx/đt0 5 4 5 20 -805 5 4 6.605136563 -10.09726 -105.6822
10 5 4 0.390875494 -28.24102 -6.25400815 5 4 -6.28611801 -12.95205 100.577920 5 4 -5.52137949 17.670028 88.3420725 5 4 1.779766156 27.37369 -28.4762630 5 4 6.973960774 4.6713957 -111.583435 5 4 3.912130427 -23.56106 -62.5940940 5 4 -3.78102027 -23.90109 60.4963245 5 4 -6.99806352 4.0538513 111.96950 5 4 -1.93054811 27.209699 30.8887755 5 4 5.422419417 18.153729 -86.7587160 5 4 6.356132302 -12.39328 -101.698165 5 4 -0.23477227 -28.26868 3.75635670 5 4 -6.547745 -10.6786 104.763975 5 4 -5.1092623 19.553184 81.748280 5 4 2.377748419 26.637211 -38.0439785 5 4 7.049895251 2.1871514 -112.798390 5 4 3.37612316 -24.85214 -54.0179795 5 4 -4.29442465 -22.47057 68.71079
100 5 4 -6.88107849 6.5124604 110.0973105 5 4 -1.32166475 27.78581 21.14664 .110 5 4 5.802383143 16.165321 -92.83813115 5 4 6.057361698 -14.59226 -96.91779120 5 4 -0.85858184 -28.075 13.73731125 5 4 -6.75810539 -8.321549 108.1297130 5 4 -4.65714133 21.283246 74.51426135 5 4 2.957113725 25.692171 -47.31382140 5 4 7.070631457 -0.314218 -113.1301145 5 4 2.813682002 -25.94862 -45.01891150 5 4 -4.77420515 -20.86412 76.38728155 5 4 -6.71021697 8.9200792 107.3635160 5 4 -0.7024332 28.144367 11.23893165 5 4 6.136916191 14.050344 -98.19066170 5 4 5.711164022 -16.67698 -91.37862175 5 4 -1.47566901 -27.6615 23.6107180 5 4 -6.91555213 -5.899341 110.6488185 5 4 -4.16855653 22.846667 66.6969190 5 4 3.513325842 24.54597 -56.21321195 5 4 7.036007036 -2.813126 -112.5761
đ2x/đt2
200 5 4 2.229210675 -26.84194 -35.66737205 5 4 -5.21660526 -19.0943 83.46568210 5 4 -6.48681673 11.257857 103.7891215 5 4 -0.07770184 28.282564 1.243229220 5 4 6.423399284 11.825357 -102.7744225 5 4 5.320249883 -18.63113 -85.124230 5 4 -2.0812022 -27.03142 33.29924235 5 4 -7.01885245 -3.430942 112.3016240 5 4 -3.64733336 24.231206 58.35733245 5 4 4.042029817 23.207583 -64.67248250 5 4 6.946293084 -5.290009 -111.1407255 5 4 1.627285391 -27.5251 -26.03657260 5 4 -5.61816113 -17.17499 89.89058265 5 4 -6.21262695 13.507489 99.40203270 5 4 0.547637903 28.199317 -8.762206275 5 4 6.659589355 9.5077818 -106.5534280 5 4 4.887680006 -20.43941 -78.20288285 5 4 -2.67044029 -26.18969 42.72704290 5 4 -7.06719756 -0.93568 113.0752295 5 4 -3.09755282 25.426023 49.56085300 5 4 4.53908608 21.687489 -72.62538305 5 4 6.802192031 -7.725473 -108.8351310 5 4 1.012619018 -27.99274 -16.2019315 5 4 -5.97572872 -15.1212 95.61166320 5 4 -5.88979441 15.651363 94.23671325 5 4 1.168689825 27.89528 -18.69904330 5 4 6.843637117 7.1157639 -109.4982335 5 4 4.416841265 -22.08765 -70.66946340 5 4 -3.23876974 -25.14291 51.82032345 5 4 -7.06020893 1.5669072 112.9633350 5 4 -2.5235195 26.421764 40.37631355 5 4 5.000602851 19.997588 -80.00965360 5 4 6.604832139 -10.10045 -105.6773
Date: 18.03.2011
T x đx/đt0 5 20 -805 6.605137 -10.09726 -105.6822
10 0.390875 -28.24102 -6.25400815 -6.286118 -12.95205 100.577920 -5.521379 17.67003 88.3420725 1.779766 27.37369 -28.4762630 6.973961 4.671396 -111.583435 3.91213 -23.56106 -62.5940940 -3.78102 -23.90109 60.4963245 -6.998064 4.053851 111.96950 -1.930548 27.2097 30.8887755 5.422419 18.15373 -86.7587160 6.356132 -12.39328 -101.698165 -0.234772 -28.26868 3.75635670 -6.547745 -10.6786 104.763975 -5.109262 19.55318 81.748280 2.377748 26.63721 -38.0439785 7.049895 2.187151 -112.798390 3.376123 -24.85214 -54.0179795 -4.294425 -22.47057 68.71079
100 -6.881078 6.51246 110.0973105 -1.321665 27.78581 21.14664110 5.802383 16.16532 -92.83813115 6.057362 -14.59226 -96.91779120 -0.858582 -28.075 13.73731125 -6.758105 -8.321549 108.1297130 -4.657141 21.28325 74.51426135 2.957114 25.69217 -47.31382140 7.070631 -0.314218 -113.1301145 2.813682 -25.94862 -45.01891150 -4.774205 -20.86412 76.38728155 -6.710217 8.920079 107.3635160 -0.702433 28.14437 11.23893165 6.136916 14.05034 -98.19066170 5.711164 -16.67698 -91.37862175 -1.475669 -27.6615 23.6107180 -6.915552 -5.899341 110.6488185 -4.168557 22.84667 66.6969190 3.513326 24.54597 -56.21321195 7.036007 -2.813126 -112.5761
đ2x/đt2
0 50 100 150 200 250 300 350 400
-150
-100
-50
0
50
100
150
xđx/đtđ2x/đt2
200 2.229211 -26.84194 -35.66737205 -5.216605 -19.0943 83.46568210 -6.486817 11.25786 103.7891215 -0.077702 28.28256 1.243229220 6.423399 11.82536 -102.7744225 5.32025 -18.63113 -85.124230 -2.081202 -27.03142 33.29924235 -7.018852 -3.430942 112.3016240 -3.647333 24.23121 58.35733245 4.04203 23.20758 -64.67248250 6.946293 -5.290009 -111.1407255 1.627285 -27.5251 -26.03657260 -5.618161 -17.17499 89.89058265 -6.212627 13.50749 99.40203270 0.547638 28.19932 -8.762206275 6.659589 9.507782 -106.5534280 4.88768 -20.43941 -78.20288285 -2.67044 -26.18969 42.72704290 -7.067198 -0.93568 113.0752295 -3.097553 25.42602 49.56085300 4.539086 21.68749 -72.62538305 6.802192 -7.725473 -108.8351310 1.012619 -27.99274 -16.2019315 -5.975729 -15.1212 95.61166320 -5.889794 15.65136 94.23671325 1.16869 27.89528 -18.69904330 6.843637 7.115764 -109.4982335 4.416841 -22.08765 -70.66946340 -3.23877 -25.14291 51.82032345 -7.060209 1.566907 112.9633350 -2.523519 26.42176 40.37631355 5.000603 19.99759 -80.00965360 6.604832 -10.10045 -105.6773
0 50 100 150 200 250 300 350 400
-150
-100
-50
0
50
100
150
xđx/đtđ2x/đt2
0 50 100 150 200 250 300 350 400
-150
-100
-50
0
50
100
150
xđx/đtđ2x/đt2
Damped & unDamped oscillations
m=1 k=1 c=0.2Undamp. Damp.
T a ω x X T x0 1 1 1 1 0 5
0.25 1 1 1.21631638 0.945291524 5 -3.376310.5 1 1 1.3570081 0.835922706 10 -6.915463
0.75 1 1 1.41332763 0.681192185 15 -0.5471 1 1 1.38177329 0.492696123 20 6.605137
1.25 1 1 1.26430698 0.283512888 25 4.2942551.5 1 1 1.06823219 0.06733761 30 -4.168901
1.75 1 1 0.80573989 -0.142378457 35 -6.6593742 1 1 0.49315059 -0.333231814 40 0.390875
2.25 1 1 0.14989957 -0.49456784 45 6.8811282.5 1 1 -0.2026715 -0.618041668 50 3.512956
2.75 1 1 -0.5426414 -0.698011619 55 -4.8881423 1 1 -0.8488725 -0.731749513 60 -6.286118
3.25 1 1 -1.1023248 -0.719464035 65 1.3218743.5 1 1 -1.2872399 -0.66414484 70 7.036049
3.75 1 1 -1.3921207 -0.571245615 75 2.6698484 1 1 -1.4104461 -0.448233163 80 -5.521379
4.25 1 1 -1.3410768 -0.304036381 85 -5.8022614.5 1 1 -1.1883259 -0.148433455 90 2.229615
4.75 1 1 -0.9616906 0.008582578 95 7.0671765 1 1 -0.6752621 0.157420347 100 1.779766
5.25 1 1 -0.346849 0.289452238 105 -6.0574725.5 1 1 0.00312945 0.397490629 110 -5.216317
5.75 1 1 0.35291334 0.476153559 115 3.0981286 1 1 0.68075479 0.522103064 120 6.973961
6.25 1 1 0.9662702 0.534147927 125 0.858376.5 1 1 1.19170761 0.513211218 130 -6.486986
6.75 1 1 1.34305042 0.462171204 135 -4.5385967 1 1 1.41088885 0.385591432 140 3.91213
7.25 1 1 1.39100505 0.289361776 145 6.7580437.5 1 1 1.28463529 0.180276553 150 -0.078128
7.75 1 1 1.09839314 0.065578359 155 -6.8023678 1 1 0.84385821 -0.047503028 160 -3.78102
8.25 1 1 0.53685627 -0.152188484 165 4.6573028.5 1 1 0.19647521 -0.24253869 170 6.423221
8.75 1 1 -0.1561217 -0.313773371 175 -1.0132529 1 1 -0.4990118 -0.362504679 180 -6.998064
9.25 1 1 -0.8108757 -0.386874737 185 -2.95692
0 2 4 6 8 10 12 14 16 18 20
-1
-0.5
0
0.5
1
1.5
Damp.
Damp.
9.5 1 1 -1.0723233 -0.386593702 190 5.3205319.75 1 1 -1.267099 -0.362880867 195 5.975387
10 1 1 -1.3830926 -0.31831711 200 -1.93054810.25 1 1 -1.4130923 -0.256621974 205 -7.070634
10.5 1 1 -1.3552327 -0.182372553 210 -2.08079510.75 1 1 -1.2131113 -0.100684084 215 5.890148
11 1 1 -0.9955645 -0.016873483 220 5.42241911.25 1 1 -0.7161183 0.063872941 225 -2.813878
11.5 1 1 -0.3921474 0.136807654 230 -7.01880111.75 1 1 -0.0437947 0.19788841 235 -1.168059
12 1 1 0.30728104 0.243989007 240 6.35613212.25 1 1 0.63925149 0.273044203 245 4.774048
12.5 1 1 0.93147638 0.284123218 250 -3.64769912.75 1 1 1.16578658 0.27743086 255 -6.843476
13 1 1 1.32761382 0.254239716 260 -0.23477213.25 1 1 1.40689646 0.216760899 265 6.710284
13.5 1 1 1.39870509 0.167964183 270 4.0416813.75 1 1 1.30354901 0.111360892 275 -4.417341
14 1 1 1.12734457 0.050764541 280 -6.54774514.25 1 1 0.88104731 -0.009955177 285 0.702645
14.5 1 1 0.57997079 -0.067109813 290 6.94637314.75 1 1 0.24283449 -0.117407018 295 3.238201
15 1 1 -0.1094001 -0.158130889 300 -5.10926215.25 1 1 -0.4548327 -0.187278568 305 -6.13681
15.5 1 1 -0.771986 -0.203646931 310 1.627715.75 1 1 -1.0411409 -0.206866552 315 7.060244
16 1 1 -1.2455628 -0.197383443 320 2.37774816.25 1 1 -1.3725416 -0.17639224 325 -5.71129
16.5 1 1 -1.4141824 -0.145727239 330 -5.61790216.75 1 1 -1.3678962 -0.10771996 335 2.524117
17 1 1 -1.2365608 -0.065033492 340 7.04989517.25 1 1 -1.0283421 -0.020484822 345 1.475461
17.5 1 1 -0.756186 0.023133514 350 -6.21283117.75 1 1 -0.437014 0.063221594 355 -5.000151
18 1 1 -0.0906705 0.097520396 360 3.376123
0.9975 0.998749
0 2 4 6 8 10 12 14 16 18 20
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Undamp.
Undamp.
0 2 4 6 8 10 12 14 16 18 20
-1
-0.5
0
0.5
1
1.5
Damp.
Damp.
0 2 4 6 8 10 12 14 16 18 20
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Undamp.
Undamp.
Force Undamped Oscillations.
k = 1 m = 1 ζ
T a ω Fo x(t) T x(t)0 2 5 1 #VALUE! 0 #VALUE!
0.5 2 5 1 2.722461 0.25 2.7224611 2 5 1 2.791683 0.5 2.791683
1.5 2 5 1 2.082938 0.75 2.0829382 2 5 1 1.04393 1 1.04393
2.5 2 5 1 -0.444154 1.25 -0.4441543 2 5 1 -1.693187 1.5 -1.693187
3.5 2 5 1 -2.542972 1.75 -2.5429724 2 5 1 -2.875935 2 -2.875935
4.5 2 5 1 -2.319965 2.25 -2.3199655 2 5 1 -1.38631 2.5 -1.38631
5.5 2 5 1 0.006911 2.75 0.0069116 2 5 1 1.39625 3 1.39625
6.5 2 5 1 2.327098 3.25 2.3270987 2 5 1 2.877272 3.5 2.877272
7.5 2 5 1 2.536669 3.75 2.5366698 2 5 1 1.684459 4 1.684459
8.5 2 5 1 0.430771 4.25 0.4307719 2 5 1 -1.055366 4.5 -1.055366
9.5 2 5 1 -2.090588 4.75 -2.09058810 2 5 1 -2.79546 5 -2.79546
10.5 2 5 1 -2.717618 5.25 -2.71761811 2 5 1 -1.950394 5.5 -1.950394
11.5 2 5 1 -0.842411 5.75 -0.84241112 2 5 1 0.666946 6 0.666946
12.5 2 5 1 1.837134 6.25 1.83713413 2 5 1 2.644212 6.5 2.644212
13.5 2 5 1 2.840879 6.75 2.84087914 2 5 1 2.196055 7 2.196055
14.5 2 5 1 1.210421 7.25 1.21042115 2 5 1 -0.241049 7.5 -0.241049
15.5 2 5 1 -1.558802 7.75 -1.55880216 2 5 1 -2.445114 8 -2.445114
16.5 2 5 1 -2.887258 8.25 -2.88725817 2 5 1 -2.424769 8.5 -2.424769
17.5 2 5 1 -1.530953 8.75 -1.53095318 2 5 1 -0.199921 9 -0.199921
18.5 2 5 1 1.24244 9.25 1.24244
0 5 10 15 20 25 30
-4
-3
-2
-1
0
1
2
3
4
x(t)
19 2 5 1 2.218271 9.5 2.21827119.5 2 5 1 2.848722 9.75 2.848722
20 2 5 1 2.627223 10 2.62722320.5 2 5 1 1.812285 10.25 1.812285
21 2 5 1 0.628332 10.5 0.62833221.5 2 5 1 -0.878939 10.75 -0.878939
22 2 5 1 -1.974155 11 -1.97415522.5 2 5 1 -2.731975 11.25 -2.731975
23 2 5 1 -2.783925 11.5 -2.78392523.5 2 5 1 -2.067591 11.75 -2.067591
24 2 5 1 -1.020915 12 -1.02091524.5 2 5 1 0.470839 12.25 0.470839
25 2 5 1 1.710549 12.5 1.71054925.5 2 5 1 2.555473 12.75 2.555473
26 2 5 1 2.873014 13 2.87301426.5 2 5 1 2.305643 13.25 2.305643
27 2 5 1 1.366296 13.5 1.36629627.5 2 5 1 -0.034552 13.75 -0.034552
28 2 5 1 -1.416001 14 -1.41600128.5 2 5 1 -2.341307 14.25 -2.341307
29 2 5 1 -2.8797 14.5 -2.879729.5 2 5 1 -2.52396 14.75 -2.52396
30 2 5 1 -1.666909 15 -1.66690930.5 2 5 1 -0.403927 15.25 -0.403927
31 2 5 1 1.078096 15.5 1.07809631.5 2 5 1 2.105842 15.75 2.105842
32 2 5 1 2.802809 16 2.80280932.5 2 5 1 2.707762 16.25 2.707762
33 2 5 1 1.934459 16.5 1.93445933.5 2 5 1 0.817839 16.75 0.817839
34 2 5 1 -0.692502 17 -0.69250234.5 2 5 1 -1.853581 17.25 -1.853581
35 2 5 1 -2.655306 17.5 -2.65530635.5 2 5 1 -2.835269 17.75 -2.835269
36 2 5 1 -2.181168 18 -2.18116836.5 2 5 1 -1.188838 18.25 -1.188838
37 2 5 1 0.268393 18.5 0.26839337.5 2 5 1 1.577181 18.75 1.577181
38 2 5 1 2.458547 19 2.45854738.5 2 5 1 2.886837 19.25 2.886837
39 2 5 1 2.411082 19.5 2.41108239.5 2 5 1 1.512194 19.75 1.512194
40 2 5 1 0.172438 20 0.17243840.5 2 5 1 -1.263551 20.25 -1.263551
41 2 5 1 -2.233002 20.5 -2.233002
41.5 2 5 1 -2.853564 20.75 -2.85356442 2 5 1 -2.615674 21 -2.615674
42.5 2 5 1 -1.795594 21.25 -1.79559443 2 5 1 -0.602407 21.5 -0.602407
43.5 2 5 1 0.903068 21.75 0.90306844 2 5 1 1.989904 22 1.989904
44.5 2 5 1 2.741254 22.25 2.74125445 2 5 1 2.7759 22.5 2.7759
45.5 2 5 1 2.05218 22.75 2.0521846 2 5 1 0.997711 23 0.997711
46.5 2 5 1 -0.49741 23.25 -0.4974147 2 5 1 -1.727791 23.5 -1.727791
47.5 2 5 1 -2.567829 23.75 -2.56782948 2 5 1 -2.869766 24 -2.869766
48.5 2 5 1 -2.291247 24.25 -2.29124749 2 5 1 -1.346104 24.5 -1.346104
49.5 2 5 1 0.062184 24.75 0.06218450 2 5 1 1.43558 25 1.43558
0.05 ζ 0.1 α =1.0
0 5 10 15 20 25 30
-4
-3
-2
-1
0
1
2
3
4
x(t)
Force damped Oscillations.
k = 1 1
T a ωe Fo Xp(t) fr 5% Xc(t) fr 5% x(t)0 5 2 2 0.7079646 1 1.707965
0.5 5 2 2 0.90378012 0.956952753 1.8607331 5 2 2 0.26866436 0.85620723 1.124872
1.5 5 2 2 -0.6134602 0.705374225 0.0919142 5 2 2 -0.9315723 0.514952215 -0.41662
2.5 5 2 2 -0.3932011 0.297611406 -0.095593 5 2 2 0.50667733 0.067362109 0.574039
3.5 5 2 2 0.94071896 -0.16133864 0.779384 5 2 2 0.50986792 -0.37448585 0.135382
4.5 5 2 2 -0.3897533 -0.55937535 -0.9491295 5 2 2 -0.9310372 -0.7053518 -1.636389
5.5 5 2 2 -0.6163297 -0.80441238 -1.4207426 5 2 2 0.26502843 -0.85163267 -0.586604
6.5 5 2 2 0.90272066 -0.84539309 0.0573287 5 2 2 0.71045568 -0.78739671 -0.076941
7.5 5 2 2 -0.134999 -0.68248263 -0.8174828 5 2 2 -0.8563362 -0.53825145 -1.394588
8.5 5 2 2 -0.7903619 -0.36453034 -1.1548929 5 2 2 0.00226752 -0.17271465 -0.170447
9.5 5 2 2 0.79281216 0.024970534 0.81778310 5 2 2 0.85444896 0.216241553 1.070691
10.5 5 2 2 0.13050933 0.389511889 0.52002111 5 2 2 -0.71342 0.534586419 -0.178834
11.5 5 2 2 -0.9014342 0.643253084 -0.25818112 5 2 2 -0.260674 0.709738185 0.449064
12.5 5 2 2 0.61974869 0.731000711 1.35074913 5 2 2 0.93037732 0.706851599 1.637229
13.5 5 2 2 0.38562133 0.639894927 1.02551614 5 2 2 -0.5136731 0.535299053 0.021626
14.5 5 2 2 -0.9406989 0.400415939 -0.54028315 5 2 2 -0.5028504 0.244275798 -0.258575
15.5 5 2 2 0.3973164 0.076991161 0.47430816 5 2 2 0.93219236 -0.0908908 0.841302
16.5 5 2 2 0.61001496 -0.24904665 0.36096817 5 2 2 -0.2730074 -0.38800505 -0.661012
17.5 5 2 2 -0.905028 -0.49970734 -1.40473518 5 2 2 -0.70497 -0.57796745 -1.282937
18.5 5 2 2 0.14323411 -0.61880557 -0.47557119 5 2 2 0.85974949 -0.620638 0.239111
19.5 5 2 2 0.78581515 -0.58431528 0.201520 5 2 2 -0.010594 -0.51300984 -0.523604
20.5 5 2 2 -0.7972631 -0.41196387 -1.209227
0 5 10 15 20 25 30 35 40
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
Xp(t) fr 5%Xc(t) fr 5%x(t)
21 5 2 2 -0.8509322 -0.28811634 -1.13904821.5 5 2 2 -0.1222581 -0.149635 -0.271893
22 5 2 2 0.71881946 -0.00538453 0.71343522.5 5 2 2 0.89901775 0.135635016 1.034653
23 5 2 2 0.25266326 0.264844191 0.51750723.5 5 2 2 -0.6259887 0.374600579 -0.251388
24 5 2 2 -0.9291095 0.458644947 -0.47046524.5 5 2 2 -0.3780113 0.51245143 0.13444
25 5 2 2 0.52062869 0.533462651 1.05409125.5 5 2 2 0.94060512 0.521198146 1.461803
26 5 2 2 0.49579353 0.477232589 0.97302626.5 5 2 2 -0.4048483 0.405048361 0.0002
27 5 2 2 -0.9332745 0.309774615 -0.623527.5 5 2 2 -0.6036524 0.197831658 -0.405821
28 5 2 2 0.28096494 0.076504848 0.3574728.5 5 2 2 0.90726442 -0.04652413 0.86074
29 5 2 2 0.69942917 -0.16365872 0.5357729.5 5 2 2 -0.151458 -0.26785188 -0.41931
30 5 2 2 -0.8630954 -0.35302522 -1.21612130.5 5 2 2 -0.7812069 -0.41441832 -1.195625
31 5 2 2 0.01891968 -0.4488485 -0.42992931.5 5 2 2 0.80165155 -0.45486733 0.346784
32 5 2 2 0.84734868 -0.43280669 0.41454232.5 5 2 2 0.11399734 -0.38471449 -0.270717
33 5 2 2 -0.7241626 -0.31418653 -1.03834933.5 5 2 2 -0.8965308 -0.22610747 -1.122638
34 5 2 2 -0.2446327 -0.1263191 -0.37095234.5 5 2 2 0.63217959 -0.02123796 0.610942
35 5 2 2 0.92776888 0.082552823 1.01032235.5 5 2 2 0.37037175 0.178711893 0.549084
36 5 2 2 -0.5275435 0.26152309 -0.26602
Force damped Oscillations.
φ = 0.05 φ = 0.1 α = 0.066568
0 5 10 15 20 25 30 35 40
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
Xp(t) fr 5%Xc(t) fr 5%x(t)
c = 0.1 0.2
Force damped Oscillations.
k = 1 1
T a ω Fo Xp(t) fr 10% Xc(t) fr 10% x(t)0 5 2 2 0.74235808 1 1.742358
0.25 5 2 2 0.92364347 0.945291524 1.8689350.5 5 2 2 0.87878873 0.835922706 1.714711
0.75 5 2 2 0.61877586 0.681192185 1.2999681 5 2 2 0.20726508 0.492696123 0.699961
1.25 5 2 2 -0.25499142 0.283512888 0.0285211.5 5 2 2 -0.65481713 0.06733761 -0.58748
1.75 5 2 2 -0.89432077 -0.14237846 -1.0366992 5 2 2 -0.91486349 -0.33323181 -1.248095
2.25 5 2 2 -0.71141573 -0.49456784 -1.2059842.5 5 2 2 -0.33378858 -0.61804167 -0.95183
2.75 5 2 2 0.12556166 -0.69801162 -0.572453 5 2 2 0.55417002 -0.73174951 -0.177579
3.25 5 2 2 0.84709823 -0.71946403 0.1276343.5 5 2 2 0.93262725 -0.66414484 0.268482
3.75 5 2 2 0.7898166 -0.57124562 0.2185714 5 2 2 0.45363129 -0.44823316 0.005398
4.25 5 2 2 0.00638123 -0.30403638 -0.2976554.5 5 2 2 -0.44243119 -0.14843345 -0.590865
4.75 5 2 2 -0.78292101 0.008582578 -0.7743385 5 2 2 -0.93172447 0.157420347 -0.774304
5.25 5 2 2 -0.85240929 0.289452238 -0.5629575.5 5 2 2 -0.56439458 0.397490629 -0.166904
5.75 5 2 2 -0.13819639 0.476153559 0.3379576 5 2 2 0.32183709 0.522103064 0.84394
6.25 5 2 2 0.70307363 0.534147927 1.2372226.5 5 2 2 0.91217322 0.513211218 1.425384
6.75 5 2 2 0.897941 0.462171204 1.3601127 5 2 2 0.6638615 0.385591432 1.049453
7.25 5 2 2 0.26724555 0.289361776 0.5566077.5 5 2 2 -0.19480142 0.180276553 -0.014525
7.75 5 2 2 -0.60915422 0.065578359 -0.5435768 5 2 2 -0.87436482 -0.04750303 -0.921868
8.25 5 2 2 -0.92550041 -0.15218848 -1.0776898.5 5 2 2 -0.75004123 -0.24253869 -0.99258
8.75 5 2 2 -0.39094579 -0.31377337 -0.7047199 5 2 2 0.0638668 -0.36250468 -0.298638
9.25 5 2 2 0.50304258 -0.38687474 0.1161689.5 5 2 2 0.81905599 -0.3865937 0.432462
9.75 5 2 2 0.93453593 -0.36288087 0.57165510 5 2 2 0.82120888 -0.31831711 0.502892
10.25 5 2 2 0.50682125 -0.25662197 0.250199
10.5 5 2 2 0.06834611 -0.18237255 -0.11402610.75 5 2 2 -0.38686255 -0.10068408 -0.487547
11 5 2 2 -0.74735376 -0.01687348 -0.76422711.25 5 2 2 -0.9248667 0.063872941 -0.860994
11.5 5 2 2 -0.87594003 0.136807654 -0.73913211.75 5 2 2 -0.61255268 0.19788841 -0.414664
12 5 2 2 -0.19919107 0.243989007 0.04479812.25 5 2 2 0.26293945 0.273044203 0.535984
12.5 5 2 2 0.66069323 0.284123218 0.94481612.75 5 2 2 0.89668627 0.27743086 1.174117
13 5 2 2 0.91313923 0.254239716 1.16737913.25 5 2 2 0.70602386 0.216760899 0.922785
13.5 5 2 2 0.32604923 0.167964183 0.49401313.75 5 2 2 -0.13375363 0.111360892 -0.022393
14 5 2 2 -0.56080893 0.050764541 -0.51004414.25 5 2 2 -0.85055865 -0.00995518 -0.860514
14.5 5 2 2 -0.93206194 -0.06710981 -0.99917214.75 5 2 2 -0.78536397 -0.11740702 -0.902771
15 5 2 2 -0.44638151 -0.15813089 -0.60451215.25 5 2 2 0.00189072 -0.18727857 -0.185388
15.5 5 2 2 0.44970003 -0.20364693 0.24605315.75 5 2 2 0.78740709 -0.20686655 0.580541
16 5 2 2 0.93232943 -0.19738344 0.73494616.25 5 2 2 0.84898501 -0.17639224 0.672593
16.5 5 2 2 0.55777945 -0.14572724 0.41205216.75 5 2 2 0.13001003 -0.10771996 0.02229
17 5 2 2 -0.32959038 -0.06503349 -0.39462417.25 5 2 2 -0.70849557 -0.02048482 -0.72898
17.5 5 2 2 -0.91393634 0.023133514 -0.89080317.75 5 2 2 -0.89561362 0.063221594 -0.832392
18 5 2 2 -0.65801344 0.097520396 -0.560493
Force damped Oscillations.
φ = 0.05 φ = 0.1 α = 0.132552 c =
0 2 4 6 8 10 12 14 16 18 20
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
Xp(t) fr 10%Xc(t) fr 10%x(t)
0.1 0.2
ωe α deg 57.324840.1 -0.100669 -5.7708140.2 -0.205395 -11.774260.3 -0.31845 -18.255110.4 -0.444419 -25.476260.5 -0.588003 -33.707160.6 -0.753151 -43.174280.7 -0.941151 -53.951340.8 -1.147942 -65.805620.9 -1.36274 -78.11886
1 #DIV/0! #DIV/0!1.1 1.382157 79.231941.2 1.219352 69.899131.3 1.082837 62.073481.4 0.969723 55.589191.5 0.876058 50.219891.6 0.798056 45.748421.7 0.732523 41.991751.8 0.676915 38.804041.9 0.629252 36.07176
2 0.588003 33.707162.1 0.551982 31.642292.2 0.520267 29.824232.3 0.492133 28.211422.4 0.467003 26.770892.5 0.444419 25.476262.6 0.424008 24.306212.7 0.405467 23.243352.8 0.388546 22.273362.9 0.373039 21.38438
3 0.358771 20.566473.1 0.345597 19.811283.2 0.333393 19.11173.3 0.322054 18.461693.4 0.311489 17.856043.5 0.301619 17.290263.6 0.292377 16.760473.7 0.283703 16.263253.8 0.275546 15.795633.9 0.267859 15.35498
4 0.260602 14.938994.1 0.25374 14.54564.2 0.24724 14.172984.3 0.241073 13.81954.4 0.235215 13.483684.5 0.229642 13.16422
0 1 2 3 4 5 6
-100
-80
-60-40
-20
0
20
40
60
80
100
deg
deg
4.6 0.224334 12.859914.7 0.219271 12.569694.8 0.214437 12.292594.9 0.209817 12.02771
5 0.205395 11.774265.1 0.20116 11.531495.2 0.1971 11.298735.3 0.193204 11.075375.4 0.189461 10.860845.5 0.185864 10.654625.6 0.182403 10.45623
0 1 2 3 4 5 6
-100
-80
-60-40
-20
0
20
40
60
80
100
deg
deg
l = 100 b = 20 d= s thic =density 7.85 lambda 40mass #VALUE! amp 5T #VALUE!KG #VALUE!kb #VALUE!nabla #VALUE!Ixx 66666.67BMt #VALUE!GMt #VALUE!wn
area 6.366198moment
Force 34419.71Moment -458172
Ix #VALUE!
wn #VALUE!Tn #VALUE!
-15 -10 -5 0 5 10 15
-6
-4
-2
0
2
4
6
wave
0.03 y wave area moment-10 5 0 -50
-9 4.93844171 0.995893 -44.44598-8 4.75528259 1.967263 -38.04226-7 4.45503264 2.890193 -31.18523-6 4.045085 3.741957 -24.27051-5 3.53553395 4.501582 -17.67767-4 2.93892633 5.150362 -11.75571-3 2.26995258 5.672324 -6.809858-2 1.54508507 6.054614 -3.09017-1 0.78217244 6.287819 -0.7821720 1.3397E-07 6.366198 01 -0.7821722 6.287819 -0.7821722 -1.5450848 6.054614 -3.090173 -2.2699523 5.672324 -6.8098574 -2.9389261 5.150362 -11.75575 -3.5355338 4.501582 -17.677676 -4.0450848 3.741957 -24.270517 -4.4550325 2.890194 -31.185238 -4.7552825 1.967264 -38.042269 -4.9384417 0.995893 -44.44597
10 -5 3.412E-07 -50
34.2655125 -228.0595centroid -6.655659
-15 -10 -5 0 5 10 15
-6
-4
-2
0
2
4
6
wave
