Integral de Convolucion_o Duhamel

PROBLEMA 01: SOLUCION DE LA INTEGRAL DE DUHAMEL POR METODOS NUMERICOSREGLA DE SIMPSON

SISTEMAS NO AMORTIGUADOMETODO SIMPSOM

1) PROBLEMA N 01

DATOSRIGIDEZ kACELERACION DEL TERRENO aMASA mFRECUENCIA NATURAL wPERIODO TINCREMENTO INTERVALO DE INTEGRACION (T/20) t

N t F coswt senwt z1=Fcoswt0 0.0000 0.000000 1.0000 0.0000 0.00001 0.0100 5.84127513 0.6336 0.7737 3.70102 0.0200 10.7603414 -0.1971 0.9804 -2.12093 0.0300 13.9805863 -0.8834 0.4687 -12.35004 0.0400 14.993604 -0.9223 -0.3865 -13.82865 0.0500 13.6394614 -0.2854 -0.9584 -3.89226 0.0600 10.1319477 0.5607 -0.8280 5.68087 0.0700 5.02482225 0.9959 -0.0909 5.00408 0.0800 -0.87561215 0.7013 0.7129 -0.61409 0.0900 -6.63780665 -0.1072 0.9942 0.7117

10 0.1000 -11.3520374 -0.8371 0.5470 9.503211 0.1100 -14.2740311 -0.9536 -0.3011 13.611712 0.1200 -14.9424691 -0.3713 -0.9285 5.547713 0.1300 -13.2518198 0.4831 -0.8755 -6.4023


14 0.1400 -9.46899957 0.9835 -0.1810 -9.312715 0.1500 -4.19123247 0.7631 0.6462 -3.198516 0.1600 1.74823807 -0.0164 0.9999 -0.028717 0.1700 7.41170027 -0.7840 0.6208 -5.810518 0.1800 11.905018 -0.9770 -0.2132 -11.631319 0.1900 14.5187951 -0.4541 -0.8910 -6.593020 0.2000 14.8403737 0.4016 -0.9158 5.959621 0.2100 12.8189836 0.9630 -0.2696 12.344422 0.2200 8.77375789 0.8187 0.5742 7.183123 0.2300 3.34334871 0.0745 0.9972 0.249024 0.2400 -2.61490172 -0.7243 0.6895 1.894025 0.2500 -8.16031666 -0.9923 -0.1235 8.097826 0.2600 -12.417397 -0.5332 -0.8460 6.620627 0.2700 -14.7140435 0.3167 -0.9485 -4.660028 0.2800 -14.6876659 0.9345 -0.3560 -13.725629 0.2900 -12.3424289 0.8675 0.4975 -10.707030 0.3000 -8.04859377 0.1648 0.9863 -1.326331 0.3100 -2.48406263 -0.6587 0.7524 1.636232 0.3200 3.47264738 -0.9995 -0.0329 -3.470833 0.3300 8.88110272 -0.6078 -0.7941 -5.398234 0.3400 12.8874272 0.2292 -0.9734 2.954035 0.3500 14.8591103 0.8983 -0.4394 13.347836 0.3600 14.4848666 0.9091 0.4166 13.168237 0.3700 11.823781 0.2537 0.9673 2.999938 0.3800 7.29598033 -0.5876 0.8092 -4.287039 0.3900 1.61630478 -0.9983 0.0581 -1.613640 0.4000 -4.31854975 -0.6775 -0.7356 2.925741 0.4100 -9.57160024 0.1398 -0.9902 -1.338342 0.4200 -13.3135055 0.8547 -0.5192 -11.378443 0.4300 -14.953501 0.9432 0.3323 -14.104044 0.4400 -14.2326675 0.3406 0.9402 -4.847045 0.4500 -11.2648087 -0.5116 0.8592 5.763546 0.4600 -6.51848433 -0.9889 0.1486 6.446247 0.4700 -0.74303461 -0.7415 -0.6710 0.551048 0.4800 5.14972393 0.0493 -0.9988 0.253849 0.4900 10.2294543 0.8039 -0.5947 8.223950 0.5000 13.6941788 0.9695 0.2452 13.276251 0.5100 14.9968935 0.4246 0.9054 6.367352 0.5200 13.9319285 -0.4315 0.9021 -6.011053 0.5300 10.6674183 -0.9713 0.2378 -10.361454 0.5400 5.71875737 -0.7994 -0.6008 -4.571555 0.5500 -0.13276964 -0.0417 -0.9991 0.005556 0.5600 -5.96333525 0.7466 -0.6653 -4.452157 0.5700 -10.8524213 0.9877 0.1561 -10.719458 0.5800 -14.0281487 0.5051 0.8631 -7.085459 0.5900 -14.9891399 -0.3477 0.9376 5.211860 0.6000 -13.5836754 -0.9457 0.3251 12.8460


61 0.6100 -10.0336473 -0.8507 -0.5257 8.535462 0.6200 -4.89952689 -0.1323 -0.9912 0.648163 0.6300 1.00812109 0.6830 -0.7304 0.688664 0.6400 6.75660891 0.9978 0.0657 6.742065 0.6500 11.4383768 0.5814 0.8136 6.650466 0.6600 14.3142764 -0.2611 0.9653 -3.737167 0.6700 14.9302666 -0.9122 0.4096 -13.620168 0.6800 13.1890959 -0.8949 -0.4462 -11.803269 0.6900 9.36565703 -0.2218 -0.9751 -2.077370 0.7000 4.06358682 0.6139 -0.7894 2.494571 0.7100 -1.88003439 0.9997 -0.0253 -1.879472 0.7200 -7.52683952 0.6529 0.7574 -4.914573 0.7300 -11.9853222 -0.1723 0.9850 2.064974 0.7400 -14.551586 -0.8713 0.4908 12.678175 0.7500 -14.8204744 -0.9318 -0.3631 13.809276 0.7600 -12.7495357 -0.3095 -0.9509 3.945777 0.7700 -8.66572567 0.5396 -0.8419 -4.676078 0.7800 -3.2137881 0.9933 -0.1160 -3.192179 0.7900 2.74553593 0.7191 0.6950 1.974280 0.8000 8.27140022 -0.0821 0.9966 -0.678981 0.8100 12.4913923 -0.8231 0.5680 -10.281182 0.8200 14.7392682 -0.9609 -0.2769 -14.162983 0.8300 14.6601377 -0.3946 -0.9189 -5.784884 0.8400 12.2664938 0.4609 -0.8875 5.653285 0.8500 7.93624029 0.9786 -0.2057 7.766586 0.8600 2.35302893 0.7792 0.6268 1.833587 0.8700 -3.60167397 0.0088 1.0000 -0.031888 0.8800 -8.98775174 -0.7680 0.6404 6.903089 0.8900 -12.9548611 -0.9821 -0.1885 12.722790 0.9000 -14.8766828 -0.4765 -0.8792 7.088091 0.9100 -14.4498034 0.3783 -0.9257 -5.466792 0.9200 -11.7416177 0.9559 -0.2938 -11.223493 0.9300 -7.17968878 0.8329 0.5534 -5.980394 0.9400 -1.48424486 0.0996 0.9950 -0.147995 0.9500 4.44552868 -0.7067 0.7075 -3.141696 0.9600 9.67345099 -0.9951 -0.0984 -9.626597 0.9700 13.3741481 -0.5544 -0.8323 -7.414198 0.9800 14.9633613 0.2927 -0.9562 4.379199 0.9900 14.1901887 0.9252 -0.3794 13.1290

100 1.0000 11.1766974 0.8798 0.4754 9.8330101 1.0100 6.39865131 0.1896 0.9819 1.2134102 1.0200 0.61039886 -0.6395 0.7688 -0.3903103 1.0300 -5.27422215 -1.0000 -0.0076 5.2741104 1.0400 -10.3261594 -0.6277 -0.7785 6.4816105 1.0500 -13.7478232 0.2046 -0.9789 -2.8123106 1.0600 -14.999008 0.8869 -0.4619 -13.3028107 1.0700 -13.8821792 0.9193 0.3935 -12.7623


108 1.0800 -10.5736596 0.2781 0.9606 -2.9401109 1.0900 -5.59579157 -0.5670 0.8237 3.1727110 1.1000 0.26552888 -0.9965 0.0833 -0.2646111 1.1100 6.08492815 -0.6958 -0.7182 -4.2340112 1.1200 10.9436511 0.1148 -0.9934 1.2561113 1.1300 14.0746121 0.8413 -0.5406 11.8406114 1.1400 14.9835014 0.9513 0.3083 14.2535115 1.1500 13.5268252 0.3642 0.9313 4.9263116 1.1600 9.93456079 -0.4898 0.8718 -4.8658117 1.1700 4.77384767 -0.9848 0.1735 -4.7015118 1.1800 -1.14055104 -0.7582 -0.6520 0.8648119 1.1900 -6.87488182 0.0240 -0.9997 -0.1653120 1.2000 -11.5238199 0.7887 -0.6148 -9.0885121 1.2100 -14.3534002 0.9754 0.2206 -13.9997122 1.2200 -14.9168943 0.4473 0.8944 -6.6724123 1.2300 -13.1253387 -0.4085 0.9127 5.3622124 1.2400 -9.26158072 -0.9650 0.2622 8.9374125 1.2500 -3.93562281 -0.8143 -0.5804 3.2048126 1.2600 2.01168341 -0.0669 -0.9978 -0.1346127 1.2700 7.64138906 0.7295 -0.6839 5.5748128 1.2800 12.0646874 0.9914 0.1311 11.9606129 1.2900 14.5832369 0.5267 0.8500 7.6812130 1.3000 14.7994139 -0.3239 0.9461 -4.7938131 1.3100 12.6790889 -0.9372 0.3488 -11.8826132 1.3200 8.5570145 -0.8637 -0.5040 -7.3905133 1.3300 3.08397571 -0.1573 -0.9876 -0.4850134 1.3400 -2.87595505 0.6644 -0.7474 -1.9108135 1.3500 -8.38183573 0.9992 0.0405 -8.3750136 1.3600 -12.5644089 0.6018 0.7987 -7.5609137 1.3700 -14.7633381 -0.2366 0.9716 3.4933138 1.3800 -14.6314609 -0.9016 0.4325 13.1919139 1.3900 -12.1895977 -0.9059 -0.4235 11.0426140 1.4000 -7.82326503 -0.2463 -0.9692 1.9272141 1.4100 -2.22181087 0.5937 -0.8047 -1.3192142 1.4200 3.73041838 0.9987 -0.0505 3.7257143 1.4300 9.09369659 0.6718 0.7407 6.1096144 1.4400 13.0212801 -0.1474 0.9891 -1.9188145 1.4500 14.8930897 -0.8586 0.5127 -12.7869146 1.4600 14.413608 -0.9406 -0.3394 -13.5579147 1.4700 11.6585345 -0.3334 -0.9428 -3.8868148 1.4800 7.06283472 0.5182 -0.8553 3.6597149 1.4900 1.35206866 0.9900 -0.1410 1.3386150 1.5000 -4.57215932 0.7364 0.6766 -3.3668151 1.5100 -9.77454387 -0.0569 0.9984 0.5560152 1.5200 -13.4337429 -0.8084 0.5886 10.8605153 1.5300 -14.9720492 -0.9676 -0.2526 14.4867154 1.5400 -14.1465982 -0.4177 -0.9086 5.9086


155 1.5500 -11.0877104 0.4383 -0.8988 -4.8599156 1.5600 -6.27831697 0.9731 -0.2304 -6.1094157 1.5700 -0.47771528 0.7948 0.6069 -0.3797158 1.5800 5.39830714 0.0341 0.9994 0.1839159 1.5900 10.4220556 -0.7516 0.6596 -7.8335160 1.6000 13.8003906 -0.9865 -0.1636 -13.6145161 1.6100 14.9999474 -0.4985 -0.8669 -7.4774162 1.6200 13.8313423 0.3548 -0.9349 4.9078163 1.6300 10.4790724 0.9481 -0.3179 9.9356164 1.6400 5.47238734 0.8467 0.5321 4.6332165 1.6500 -0.39826731 0.1247 0.9922 -0.0497166 1.6600 -6.20604431 -0.6886 0.7252 4.2734167 1.6700 -11.0340234 -0.9973 -0.0733 11.0044168 1.6800 -14.1199728 -0.5752 -0.8180 8.1218169 1.6900 -14.9766889 0.2684 -0.9633 -4.0200170 1.7000 -13.4689152 0.9153 -0.4027 -12.3286171 1.7100 -9.83469594 0.8915 0.4530 -8.7676172 1.7200 -4.64779442 0.2144 0.9768 -0.9963173 1.7300 1.27289163 -0.6199 0.7847 -0.7890174 1.7400 6.99261609 -0.9998 0.0176 -6.9915175 1.7500 11.6083602 -0.6471 -0.7624 -7.5123176 1.7600 14.3913995 0.1798 -0.9837 2.5873177 1.7700 14.9023533 0.8750 -0.4842 13.0390178 1.7800 13.0605531 0.9290 0.3701 12.1329179 1.7900 9.15677879 0.3022 0.9532 2.7674180 1.8000 3.80735044 -0.5460 0.8378 -2.0788181 1.8100 -2.14317483 -0.9941 0.1084 2.1305182 1.8200 -7.75533992 -0.7137 -0.7004 5.5353183 1.8300 -12.1431074 0.0897 -0.9960 -1.0887184 1.8400 -14.6137451 0.8274 -0.5617 -12.0907185 1.8500 -14.7771939 0.9588 0.2842 -14.1678186 1.8600 -12.6076487 0.3876 0.9218 -4.8866187 1.8700 -8.44763292 -0.4676 0.8839 3.9502188 1.8800 -2.95392169 -0.9801 0.1983 2.8953189 1.8900 3.00614883 -0.7744 -0.6327 -2.3280190 1.9000 8.49161455 -0.0012 -1.0000 -0.0102191 1.9100 12.636441 0.7729 -0.6345 9.7667192 1.9200 14.7862514 0.9806 0.1959 14.4997193 1.9300 14.6016377 0.4697 0.8828 6.8590194 1.9400 12.1117465 -0.3854 0.9228 -4.6674195 1.9500 7.70967684 -0.9581 0.2865 -7.3864196 1.9600 2.09041873 -0.8287 -0.5597 -1.7323197 1.9700 -3.85887052 -0.0921 -0.9958 0.3553198 1.9800 -9.19892898 0.7120 -0.7021 -6.5501199 1.9900 -13.0866788 0.9944 0.1060 -13.0129200 2.0000 -14.9083298 0.5480 0.8365 -8.1699201 2.0100 -14.3762833 -0.2999 0.9540 4.3118


202 2.0200 -11.5745378 -0.9281 0.3724 10.7421203 2.0300 -6.9454273 -0.8761 -0.4821 6.0851204 2.0400 -1.21978652 -0.1822 -0.9833 0.2222205 2.0500 4.69843174 0.6453 -0.7639 3.0319206 2.0600 9.87487093 0.9999 0.0152 9.8737207 2.0700 13.4922851 0.6217 0.7832 8.3888208 2.0800 14.9795642 -0.2120 0.9773 -3.1758209 2.0900 14.1018994 -0.8904 0.4552 -12.5564210 2.1000 10.9978548 -0.9163 -0.4005 -10.0774211 2.1100 6.15749074 -0.2707 -0.9627 -1.6671212 2.1200 0.34499428 0.5732 -0.8194 0.1978213 2.1300 -5.52196919 0.9971 -0.0757 -5.5061214 2.1400 -10.5171351 0.6903 0.7235 -7.2604215 2.1500 -13.8518767 -0.1223 0.9925 1.6946216 2.1600 -14.9997115 -0.8454 0.5342 12.6802217 2.1700 -13.7794217 -0.9489 -0.3156 13.0754218 2.1800 -10.3836642 -0.3571 -0.9341 3.7079219 2.1900 -5.34855437 0.4964 -0.8681 -2.6550220 2.2000 0.53097454 0.9861 -0.1660 0.5236221 2.2100 6.32667425 0.7532 0.6578 4.7654222 2.2200 11.1235312 -0.0317 0.9995 -0.3521223 2.2300 14.1642272 -0.7933 0.6088 -11.2369224 2.2400 14.9687031 -0.9737 -0.2280 -14.5743225 2.2500 13.40995 -0.4405 -0.8978 -5.9068226 2.2600 9.73406056 0.4155 -0.9096 4.0443227 2.2700 4.52137704 0.9670 -0.2549 4.3720228 2.2800 -1.4051325 0.8099 0.5866 -1.1380229 2.2900 -7.10980252 0.0593 0.9982 -0.4215230 2.3000 -11.691991 -0.7347 0.6784 8.5905231 2.3100 -14.4282713 -0.9903 -0.1386 14.2890232 2.3200 -14.8866447 -0.5202 -0.8540 7.7445233 2.3300 -12.9947443 0.3311 -0.9436 -4.3027234 2.3400 -9.05125946 0.9398 -0.3417 -8.5065235 2.3500 -3.67877978 0.8598 0.5106 -3.1631236 2.3600 2.27449833 0.1497 0.9887 0.3406237 2.3700 7.86868317 -0.6701 0.7423 -5.2725238 2.3800 12.2205759 -0.9988 -0.0481 -12.2064239 2.3900 14.6431085 -0.5957 -0.8032 -8.7225240 2.4000 14.7538162 0.2440 -0.9698 3.6000241 2.4100 12.5352207 0.9049 -0.4257 11.3429242 2.4200 8.3375895 0.9027 0.4304 7.5260243 2.4300 2.82363624 0.2390 0.9710 0.6747244 2.4400 -3.1361071 -0.5998 0.8001 1.8812245 2.4500 -8.60072808 -0.9991 0.0429 8.5928246 2.4600 -12.7074832 -0.6662 -0.7458 8.4656247 2.4700 -14.8080062 0.1549 -0.9879 -2.2935248 2.4800 -14.5706705 0.8625 -0.5061 -12.5666


249 2.4900 -12.0329464 0.9380 0.3466 -11.2872250 2.5000 -7.59548462 0.3262 0.9453 -2.4777


NO AMORTIGUADOSIMPSOM

15650.64

2.000088.46 rad/s

0.0710 s0.0100 s

W1 40 rad/s ASUMIDOW2 88.46 rad/s ASUMIDOW3 150 rad/s ASUMIDO

z2=Fsenwt Cn Sn xn0.000 0.0000 0.0000 0.00004.519

10.549 0.0002 0.0005 0.00036.552

-5.795 -0.0010 0.0011 0.0014-13.072

-8.390 -0.0014 -0.0001 0.0013-0.457-0.624 -0.0010 -0.0003 -0.0005-6.600-6.210 -0.0007 -0.0010 -0.00124.298

13.874 0.0006 -0.0005 -0.000711.603


1.714 0.0000 0.0007 -0.0007-2.7081.748 -0.0004 0.0005 -0.00044.601

-2.538 -0.0011 0.0009 0.0011-12.936-13.591 -0.0017 -0.0004 0.0017

-3.4565.038 -0.0005 -0.0008 0.00043.334

-1.803 -0.0003 -0.0005 -0.00061.008

10.505 0.0005 -0.0003 -0.000513.957

5.228 0.0000 0.0011 -0.0010-6.140-7.939 -0.0011 0.0006 -0.0012-1.869-0.114 -0.0011 0.0003 0.0003-7.052

-12.544 -0.0015 -0.0005 0.0016-6.5296.034 -0.0002 -0.0011 0.0009

11.4375.904 0.0002 0.0000 0.00020.0943.177 0.0001 0.0001 0.00009.4786.912 -0.0002 0.0010 -0.0008

-4.968-13.382 -0.0016 0.0006 -0.0017

-9.679-0.968 -0.0011 -0.0004 -0.00060.499

-5.143 -0.0009 -0.0005 0.0010-6.0833.358 -0.0001 -0.0010 0.0010

13.57812.568 0.0006 0.0003 0.0006

2.537-3.436 -0.0004 0.0007 0.00080.1333.967 -0.0006 0.0007 -0.0001

-1.694-12.107 -0.0016 0.0004 -0.0016-14.054

-4.416 -0.0011 -0.0010 -0.0013


5.2754.856 -0.0002 -0.0006 0.0001

-0.7360.444 0.0000 -0.0005 0.00059.306

13.818 0.0005 0.0005 0.00066.116

-5.885 -0.0008 0.0011 0.0013-9.132-3.208 -0.0011 0.0002 0.00080.047

-5.701 -0.0013 0.0000 -0.0010-11.806

-7.142 -0.0010 -0.0011 -0.00145.381

12.124 0.0004 -0.0006 -0.00057.2960.373 0.0000 0.0002 -0.00021.9088.243 0.0001 0.0005 0.00017.095

-4.081 -0.0010 0.0011 0.0013-13.471-10.886 -0.0016 -0.0002 0.0015

-1.6331.475 -0.0008 -0.0005 -0.0001

-3.602-5.756 -0.0007 -0.0008 -0.00112.441

13.080 0.0006 -0.0005 -0.000713.376

3.450 0.0001 0.0008 -0.0008-3.973-1.477 -0.0006 0.0005 -0.00073.145

-0.952 -0.0010 0.0007 0.0008-11.131-14.308 -0.0017 -0.0004 0.0017

-5.3845.313 -0.0004 -0.0010 0.00066.2830.469 -0.0002 -0.0004 -0.00040.0408.039 0.0004 -0.0002 -0.0004

13.4576.929 0.0000 0.0011 -0.0010

-5.462


-10.157 -0.0013 0.0006 -0.0014-4.6090.022 -0.0011 0.0001 0.0000

-4.370-10.871 -0.0014 -0.0005 0.0014

-7.6094.620 -0.0002 -0.0012 0.0010

12.5988.661 0.0004 0.0000 0.00030.8280.744 -0.0001 0.0003 0.00036.8737.085 -0.0002 0.0009 -0.0006

-3.167-13.341 -0.0016 0.0006 -0.0017-11.980

-2.429 -0.0011 -0.0006 -0.00092.284

-2.007 -0.0007 -0.0005 0.0007-5.2261.582 -0.0001 -0.0009 0.0009

12.39614.002 0.0006 0.0003 0.0007

4.423-4.313 -0.0005 0.0008 0.0010-3.0462.149 -0.0007 0.0005 0.0002

-0.339-10.035 -0.0015 0.0004 -0.0014-14.344

-6.329 -0.0012 -0.0010 -0.00145.1627.582 0.0000 -0.0006 -0.00011.788

-0.188 0.0000 -0.0003 0.00036.736

12.879 0.0005 0.0004 0.00057.635

-4.892 -0.0008 0.0011 0.0013-10.992

-6.041 -0.0013 0.0001 0.0010-0.191-3.093 -0.0012 -0.0001 -0.0007-9.759-7.907 -0.0010 -0.0010 -0.00143.781

12.854 0.0004 -0.0006 -0.0007


9.9661.446 0.0001 0.0004 -0.0004

-0.2905.395 -0.0001 0.0005 -0.00016.874

-2.258 -0.0009 0.0011 0.0012-13.003-12.931 -0.0017 -0.0002 0.0016

-3.3312.912 -0.0007 -0.0006 0.0002

-0.395-4.500 -0.0006 -0.0007 -0.00090.809

11.550 0.0005 -0.0005 -0.000714.427

5.424 0.0001 0.0009 -0.0009-4.455-4.540 -0.0008 0.0006 -0.00090.9990.123 -0.0010 0.0006 0.0006

-8.850-14.157 -0.0017 -0.0004 0.0017

-7.2164.834 -0.0004 -0.0011 0.00098.7293.190 0.0000 -0.0003 -0.0001

-0.2325.432 0.0002 -0.0001 -0.0002

12.0948.208 0.0000 0.0010 -0.0009

-4.200-11.622 -0.0014 0.0007 -0.0015

-7.467-0.586 -0.0011 -0.0001 -0.0003-1.902-8.492 -0.0012 -0.0004 0.0012-8.0182.897 -0.0002 -0.0012 0.0011

12.89011.176 0.0005 0.0001 0.0005

2.209-1.170 -0.0002 0.0004 0.00053.8426.459 -0.0003 0.0008 -0.0004

-1.387-12.470 -0.0016 0.0006 -0.0017-13.714


-4.310 -0.0012 -0.0007 -0.00113.3481.199 -0.0005 -0.0005 0.0004

-3.5890.150 -0.0001 -0.0008 0.0008

10.56714.639 0.0006 0.0003 0.0007

6.419-4.404 -0.0006 0.0010 0.0011-5.928-0.283 -0.0009 0.0004 0.00050.418

-7.609 -0.0014 0.0003 -0.0012-13.748

-8.013 -0.0012 -0.0010 -0.00154.3489.699 0.0001 -0.0007 -0.00034.643

-0.088 0.0000 -0.0001 0.00014.162

11.118 0.0003 0.0004 0.00048.623

-3.413 -0.0008 0.0012 0.0013-12.039

-8.854 -0.0014 0.0000 0.0013-1.152-0.824 -0.0010 -0.0002 -0.0004-7.097-7.931 -0.0009 -0.0009 -0.00132.000

12.714 0.0005 -0.0007 -0.000712.262

3.093 0.0001 0.0005 -0.0005-1.8782.249 -0.0003 0.0005 -0.00035.841

-0.587 -0.0009 0.0010 0.0010-11.762-14.308 -0.0017 -0.0002 0.0017

-5.3363.588 -0.0007 -0.0008 0.00042.742

-2.509 -0.0004 -0.0006 -0.0007-0.3699.477 0.0004 -0.0005 -0.0006

14.6297.375 0.0002 0.0009 -0.0009


-4.170-7.180 -0.0010 0.0006 -0.0011

0.0000 0.5000 1.0000 1.5000 2.0000 2.5000 3.0000

-0.002

-0.002

-0.001

-0.001

0.000

0.001

0.001

0.002

0.002

PROBLEMA 01-HISTORIA DESPLAZAMIENTO

TIEMPO(t)

X(t)



1) PROBLEMA N 02


N t F coswt senwt z=Fcoswt0 0.0000 - 4.00 1.0000 0.0000 -4.00001 0.0455 - 3.27 0.9511 0.3087 -3.11222 0.0910 - 2.54 0.8094 0.5873 -2.05903 0.1365 - 1.82 0.5885 0.8085 -1.06874 0.1820 - 1.09 0.3101 0.9507 -0.33745 0.2275 - 0.36 0.0015 1.0000 -0.00056 0.2730 0.37 -0.3074 0.9516 -0.11317 0.3185 1.10 -0.5861 0.8102 -0.64248 0.3640 1.82 -0.8076 0.5897 -1.47319 0.4095 2.55 -0.9502 0.3115 -2.4250

10 0.4550 3.28 -1.0000 0.0029 -3.280011 0.5005 4.01 -0.9520 -0.3060 -3.815812 0.5460 4.74 -0.8111 -0.5850 -3.8412


13 0.5915 5.46 -0.5908 -0.8068 -3.228414 0.6370 6.19 -0.3129 -0.9498 -1.937415 0.6825 6.92 -0.0044 -1.0000 -0.030216 0.7280 7.65 0.3046 -0.9525 2.329517 0.7735 8.38 0.5838 -0.8119 4.889718 0.8190 9.10 0.8059 -0.5920 7.337119 0.8645 9.83 0.9493 -0.3143 9.333820 0.9100 10.56 1.0000 -0.0058 10.559821 0.9555 11.29 0.9529 0.3032 10.756722 1.0010 12.02 0.8128 0.5826 9.766223 1.0465 12.74 0.5932 0.8051 7.559624 1.0920 13.47 0.3157 0.9489 4.252525 1.1375 14.20 0.0073 1.0000 0.103426 1.1830 14.93 -0.3018 0.9534 -4.505427 1.2285 15.66 -0.5814 0.8136 -9.102528 1.2740 16.38 -0.8042 0.5944 -13.176029 1.3195 17.11 -0.9484 0.3170 -16.229230 1.3650 17.84 -1.0000 0.0087 -17.839331 1.4105 18.57 -0.9538 -0.3004 -17.710332 1.4560 19.30 -0.8145 -0.5802 -15.715833 1.5015 20.02 -0.5955 -0.8033 -11.924934 1.5470 20.75 -0.3184 -0.9480 -6.607835 1.5925 21.48 -0.0102 -0.9999 -0.218936 1.6380 22.21 0.2990 -0.9542 6.640937 1.6835 22.94 0.5790 -0.8153 13.280838 1.7290 23.66 0.8025 -0.5967 18.989539 1.7745 24.39 0.9475 -0.3198 23.111140 1.8200 25.12 0.9999 -0.0116 25.118341 1.8655 25.85 0.9547 0.2976 24.676542 1.9110 26.58 0.8161 0.5778 21.689943 1.9565 27.30 0.5979 0.8016 16.324244 2.0020 28.03 0.3212 0.9470 9.003245 2.0475 28.76 0.0131 0.9999 0.376846 2.0930 29.49 -0.2963 0.9551 -8.735947 2.1385 30.22 -0.5767 0.8170 -17.424348 2.1840 30.94 -0.8007 0.5990 -24.777649 2.2295 31.67 -0.9466 0.3226 -29.979250 2.2750 32.40 -0.9999 0.0146 -32.396651 2.3205 33.13 -0.9555 -0.2949 -31.655152 2.3660 33.86 -0.8178 -0.5755 -27.688253 2.4115 34.58 -0.6002 -0.7999 -20.757354 2.4570 35.31 -0.3239 -0.9461 -11.4387


55 2.5025 36.04 -0.0160 -0.9999 -0.577156 2.5480 36.77 0.2935 -0.9560 10.790357 2.5935 37.50 0.5743 -0.8187 21.533158 2.6390 38.22 0.7990 -0.6014 30.540159 2.6845 38.95 0.9456 -0.3253 36.833360 2.7300 39.68 0.9998 -0.0175 39.673961 2.7755 40.41 0.9564 0.2921 38.646062 2.8210 41.14 0.8195 0.5731 33.710863 2.8665 41.86 0.6025 0.7981 25.224164 2.9120 42.59 0.3267 0.9451 13.914265 2.9575 43.32 0.0189 0.9998 0.819866 3.0030 44.05 -0.2907 0.9568 -12.804167 3.0485 44.78 -0.5719 0.8203 -25.607068 3.0940 45.50 -0.7972 0.6037 -36.276869 3.1395 46.23 -0.9447 0.3281 -43.673470 3.1850 46.96 -0.9998 0.0204 -46.950271 3.2305 47.69 -0.9572 -0.2893 -45.648972 3.2760 48.42 -0.8212 -0.5707 -39.757373 3.3215 49.14 -0.6048 -0.7963 -29.724674 3.3670 49.87 -0.3294 -0.9442 -16.429675 3.4125 50.60 -0.0218 -0.9998 -1.104976 3.4580 51.33 0.2879 -0.9577 14.777277 3.5035 52.06 0.5695 -0.8220 29.645978 3.5490 52.78 0.7955 -0.6060 41.987679 3.5945 53.51 0.9437 -0.3308 50.499180 3.6400 54.24 0.9997 -0.0233 54.225381 3.6855 54.97 0.9581 0.2865 52.663782 3.7310 55.70 0.8228 0.5683 45.827783 3.7765 56.42 0.6072 0.7946 34.258684 3.8220 57.15 0.3322 0.9432 18.984985 3.8675 57.88 0.0247 0.9997 1.432386 3.9130 58.61 -0.2851 0.9585 -16.709687 3.9585 59.34 -0.5671 0.8236 -33.649888 4.0040 60.06 -0.7937 0.6083 -47.6723



0.40005000.0000

6.8982 rad/s0.9108 s

0.0455 s

z=Fsenwt Cn Sn xn0.000 0.0000 0.0000 0.000000

-1.010-1.494 0.0000 0.0000 -0.000003-1.468-1.034 0.0000 0.0000 -0.000009-0.3600.350 0.0000 0.0000 -0.0000130.8881.076 0.0000 0.0000 -0.0000120.7950.010 0.0000 0.0000 -0.000003

-1.226-2.770 0.0000 0.0000 0.000012


-4.408-5.881 0.0000 0.0000 0.000030-6.920-7.285 0.0000 0.0000 0.000047-6.801-5.390 0.0000 -0.0001 0.000058-3.090-0.061 0.0000 -0.0001 0.0000613.4227.000 0.0000 -0.0001 0.000059

10.26012.783 0.0000 0.0000 0.00005314.20014.232 0.0000 0.0000 0.00004812.738

9.738 0.0000 0.0000 0.0000505.4250.156 0.0000 0.0001 0.000058

-5.578-11.196 -0.0001 0.0000 0.000073-16.086-19.672 -0.0001 0.0000 0.000091-21.479-21.192 -0.0001 -0.0001 0.000108-18.700-14.120 -0.0001 -0.0001 0.000119

-7.800-0.293 0.0000 -0.0001 0.0001237.693

15.357 0.0001 -0.0001 0.00012021.88726.547 0.0001 0.0000 0.00011428.75828.164 0.0001 0.0000 0.00011024.68618.537 0.0001 0.0001 0.00011110.216

0.472 0.0000 0.0001 0.000119-9.768

-19.483 -0.0001 0.0001 0.000134-27.662-33.408 -0.0002 0.0000 0.000152


-36.035-35.149 -0.0002 -0.0001 0.000169-30.696-22.987 -0.0001 -0.0002 0.000180-12.671

-0.693 0.0000 -0.0002 0.00018411.80223.574 0.0001 -0.0002 0.00018133.41240.255 0.0002 -0.0001 0.00017543.31242.146 0.0002 0.0000 0.00017136.73127.470 0.0001 0.0001 0.00017215.167

0.957 0.0000 0.0002 0.000181-13.796-27.631 -0.0001 0.0001 0.000195-39.135-47.088 -0.0002 0.0000 0.000213-50.588-49.155 -0.0002 -0.0001 0.000230-42.790-31.987 -0.0001 -0.0002 0.000241-17.702

-1.263 0.0000 -0.0002 0.00024515.74831.652 0.0001 -0.0002 0.00024344.83353.907 0.0002 -0.0001 0.00023757.86256.175 0.0002 0.0001 0.00023248.87236.538 0.0001 0.0002 0.000233

-0.00005

0.00000

0.00005

0.00010

0.00015

0.00020

0.00025

0.00030

PROBLEMA 02-HISTORIA DEL DESPLAZAMIENTO

TIEMPO(t)

X(t)



1) PROBLEMA N 03


N t F coswt senwt z=Fcoswt0 0.0000 - 17.15 1.0000 0.0000 -17.15001 0.0050 - 17.15 0.9617 0.2742 -16.49272 0.0100 - 17.15 0.8496 0.5274 -14.57133 0.0150 - 17.15 0.6725 0.7401 -11.53294 0.0200 - 17.15 0.4438 0.8961 -7.61065 0.0250 - 17.15 0.1810 0.9835 -3.10496 0.0300 - 17.15 -0.0956 0.9954 1.63887 0.0350 - 17.15 -0.3648 0.9311 6.25698 0.0400 - 17.15 -0.6061 0.7954 10.39549 0.0450 - 17.15 -0.8010 0.5987 13.7370

10 0.0500 - 17.15 -0.9344 0.3561 16.025811 0.0550 - 17.15 -0.9963 0.0862 17.0861

X(s)

t

0.7g


12 0.0600 - 17.15 -0.9817 -0.1902 16.836813 0.0650 - 17.15 -0.8919 -0.4521 15.296914 0.0700 - 17.15 -0.7338 -0.6794 12.584615 0.0750 - 17.15 -0.5194 -0.8545 8.907616 0.0800 - 17.15 -0.2652 -0.9642 4.547817 0.0850 - 17.15 0.0094 -1.0000 -0.160518 0.0900 - 17.15 0.2832 -0.9591 -4.856619 0.0950 - 17.15 0.5353 -0.8447 -9.180420 0.1000 - 17.15 0.7464 -0.6655 -12.800521 0.1050 - 17.15 0.9003 -0.4354 -15.439422 0.1100 - 17.15 0.9851 -0.1718 -16.894923 0.1150 - 17.15 0.9945 0.1049 -17.055424 0.1200 - 17.15 0.9276 0.3735 -15.908625 0.1250 - 17.15 0.7896 0.6136 -13.542426 0.1300 - 17.15 0.5911 0.8066 -10.138227 0.1350 - 17.15 0.3473 0.9377 -5.956928 0.1400 - 17.15 0.0769 0.9970 -1.318929 0.1450 - 17.15 -0.1994 0.9799 3.420130 0.1500 - 17.15 -0.4605 0.8877 7.897031 0.1550 - 17.15 -0.6862 0.7274 11.768532 0.1600 - 17.15 -0.8594 0.5114 14.738033 0.1650 - 17.15 -0.9666 0.2561 16.577934 0.1700 - 17.15 -0.9998 -0.0187 17.147035 0.1750 - 17.15 -0.9564 -0.2921 16.401836 0.1800 - 17.15 -0.8396 -0.5432 14.399437 0.1850 - 17.15 -0.6585 -0.7526 11.293338 0.1900 - 17.15 -0.4269 -0.9043 7.321539 0.1950 - 17.15 -0.1626 -0.9867 2.788640 0.2000 - 17.15 0.1142 -0.9935 -1.958141 0.2050 - 17.15 0.3822 -0.9241 -6.554742 0.2100 - 17.15 0.6209 -0.7839 -10.648943 0.2150 - 17.15 0.8121 -0.5836 -13.926944 0.2200 - 17.15 0.9410 -0.3385 -16.137345 0.2250 - 17.15 0.9977 -0.0676 -17.110846 0.2300 - 17.15 0.9780 0.2086 -16.772847 0.2350 - 17.15 0.8833 0.4688 -15.149148 0.2400 - 17.15 0.7209 0.6930 -12.364249 0.2450 - 17.15 0.5033 0.8641 -8.631650 0.2500 - 17.15 0.2471 0.9690 -4.237451 0.2550 - 17.15 -0.0281 0.9996 0.481652 0.2600 - 17.15 -0.3011 0.9536 5.163753 0.2650 - 17.15 -0.5510 0.8345 9.4500


54 0.2700 - 17.15 -0.7587 0.6514 13.011955 0.2750 - 17.15 -0.9083 0.4184 15.576556 0.2800 - 17.15 -0.9882 0.1534 16.947157 0.2850 - 17.15 -0.9923 -0.1235 17.018858 0.2900 - 17.15 -0.9205 -0.3908 15.785959 0.2950 - 17.15 -0.7780 -0.6282 13.343160 0.3000 - 17.15 -0.5759 -0.8175 9.877561 0.3050 - 17.15 -0.3297 -0.9441 5.654762 0.3100 - 17.15 -0.0582 -0.9983 0.998663 0.3150 - 17.15 0.2177 -0.9760 -3.734164 0.3200 - 17.15 0.4770 -0.8789 -8.180665 0.3250 - 17.15 0.6997 -0.7144 -12.000066 0.3300 - 17.15 0.8688 -0.4952 -14.899667 0.3350 - 17.15 0.9713 -0.2380 -16.657268 0.3400 - 17.15 0.9993 0.0374 -17.138069 0.3450 - 17.15 0.9507 0.3100 -16.305170 0.3500 - 17.15 0.8293 0.5588 -14.222571 0.3550 - 17.15 0.6443 0.7648 -11.049772 0.3600 - 17.15 0.4099 0.9121 -7.029973 0.3650 - 17.15 0.1441 0.9896 -2.471374 0.3700 - 17.15 -0.1328 0.9911 2.276775 0.3750 - 17.15 -0.3994 0.9168 6.850376 0.3800 - 17.15 -0.6355 0.7721 10.898777 0.3850 - 17.15 -0.8228 0.5683 14.111878 0.3900 - 17.15 -0.9471 0.3209 16.243279 0.3950 - 17.15 -0.9988 0.0489 17.129580 0.4000 - 17.15 -0.9739 -0.2269 16.702981 0.4050 - 17.15 -0.8744 -0.4852 14.995982 0.4100 - 17.15 -0.7078 -0.7064 12.139683 0.4150 - 17.15 -0.4870 -0.8734 8.352784 0.4200 - 17.15 -0.2289 -0.9735 3.925685 0.4250 - 17.15 0.0468 -0.9989 -0.802486 0.4300 - 17.15 0.3189 -0.9478 -5.468987 0.4350 - 17.15 0.5665 -0.8240 -9.716288 0.4400 - 17.15 0.7708 -0.6371 -13.218889 0.4450 - 17.15 0.9159 -0.4014 -15.708190 0.4500 - 17.15 0.9909 -0.1348 -16.993491 0.4550 - 17.15 0.9899 0.1420 -16.976192 0.4600 - 17.15 0.9130 0.4080 -15.657793 0.4650 - 17.15 0.7661 0.6427 -13.139094 0.4700 - 17.15 0.5605 0.8281 -9.613395 0.4750 - 17.15 0.3120 0.9501 -5.3506


96 0.4800 - 17.15 0.0395 0.9992 -0.677997 0.4850 - 17.15 -0.2360 0.9718 4.046898 0.4900 - 17.15 -0.4934 0.8698 8.461399 0.4950 - 17.15 -0.7130 0.7012 12.2273

100 0.5000 - 17.15 -0.8779 0.4788 15.0560



0.70002.5000

55.5500 rad/s0.1000 s

0.0050 s

z=Fsenwt Cn Sn xn0.000 0.0000 0.0000 0.000000

-4.702-9.044 -0.0012 -0.0003 -0.000334

-12.693-15.369 -0.0020 -0.0012 -0.001237-16.867-17.072 -0.0022 -0.0024 -0.002436-15.968-13.640 -0.0018 -0.0036 -0.003571-10.267

-6.107 -0.0008 -0.0043 -0.004301-1.479

X(s)

t

0.7g


3.263 0.0004 -0.0044 -0.0044067.754

11.651 0.0015 -0.0039 -0.00385414.65516.536 0.0021 -0.0028 -0.00281317.14916.448 0.0021 -0.0016 -0.00159414.48611.414 0.0015 -0.0006 -0.000564

7.4662.947 0.0004 0.0000 -0.000033

-1.799-6.406 -0.0008 -0.0002 -0.000161

-10.523-13.833 -0.0018 -0.0009 -0.000909-16.082-17.099 -0.0022 -0.0021 -0.002052-16.806-15.224 -0.0020 -0.0032 -0.003247-12.475

-8.770 -0.0011 -0.0041 -0.004134-4.3930.321 0.0000 -0.0044 -0.0044465.0109.316 0.0012 -0.0041 -0.004090

12.90715.509 0.0020 -0.0032 -0.00317216.92217.038 0.0022 -0.0020 -0.00196915.84813.443 0.0017 -0.0008 -0.00084310.008

5.806 0.0008 -0.0001 -0.0001311.159

-3.577 -0.0005 0.0000 -0.000049-8.039

-11.885 -0.0015 -0.0006 -0.000620-14.819-16.618 -0.0022 -0.0017 -0.001674-17.143-16.354 -0.0021 -0.0029 -0.002893-14.312


-11.172 -0.0014 -0.0039 -0.003910-7.176-2.630 -0.0003 -0.0044 -0.0044202.1186.703 0.0009 -0.0043 -0.004269

10.77414.020 0.0018 -0.0035 -0.00350416.19117.121 0.0022 -0.0024 -0.00235316.73915.073 0.0020 -0.0012 -0.00116312.252

8.493 0.0011 -0.0003 -0.0002924.082

-0.642 -0.0001 0.0000 -0.000002-5.317-9.584 -0.0012 -0.0004 -0.000379

-13.116-15.643 -0.0020 -0.0013 -0.001312-16.971-16.998 -0.0022 -0.0025 -0.002518-15.722-13.242 -0.0017 -0.0036 -0.003636

-9.746-5.503 -0.0007 -0.0043 -0.004329-0.8383.891 0.0005 -0.0044 -0.0043888.321

12.114 0.0016 -0.0038 -0.00379714.97816.695 0.0022 -0.0027 -0.00273217.13116.255 0.0021 -0.0015 -0.00151414.13210.926 0.0014 -0.0005 -0.000510

6.8832.312 0.0003 0.0000 -0.000020

-2.436-6.997 -0.0009 -0.0002 -0.000193

-11.022-14.202 -0.0018 -0.0010 -0.000977-16.294


-17.137 -0.0022 -0.0021 -0.002135-16.666-14.917 -0.0019 -0.0033 -0.003320-12.026

-8.212 -0.0011 -0.0042 -0.004175

-0.005

-0.0045

-0.004

-0.0035

-0.003

-0.0025

-0.002

-0.0015

-0.001

-0.0005

0


TIEMPO(t)

X(t)

-0.005

-0.0045

-0.004

-0.0035

-0.003

-0.0025

-0.002

-0.0015

-0.001

-0.0005

0


TIEMPO(t)

X(t)

PROBLEMA_01GRAFICO_01PROBLEMA_02GRAFICO_02PROBLEMA_03GRAFICO_03

Integral de Convolucion_o Duhamel

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Transcript of Integral de Convolucion_o Duhamel