Modal participacion factor
Enviado por johmax • 15 de Septiembre de 2014 • Tutorial • 3.205 Palabras (13 Páginas) • 314 Visitas
3. MODAL PARTICIPACION FACTOR
Mode Period UX UY UZ RX RY RZ ModalMass ModalStiff
1 1.244648 -8.0115 -0.040516 0 0.430234 -86.762883 -1.524061 1 25.483935
2 0.928728 -0.212006 6.177651 0 -65.737452 -2.366948 25.737456 1 45.770191
3 0.869602 0.186594 5.284994 0 -56.116283 2.106346 -30.017024 1 52.205822
4 0.384681 -2.332647 -0.012188 0 -0.060745 7.869789 -0.260577 1 266.783738
5 0.29076 0.073937 -1.552318 0 -8.650052 -0.16614 -6.807483 1 466.970959
6 0.272458 -0.062504 -1.351196 0 -7.518322 0.139912 7.780376 1 531.815878
7 0.203837 1.069625 0.008406 0 -0.013161 3.099926 0.066456 1 950.149667
8 0.159894 -0.048119 0.619559 0 -1.836709 -0.164797 2.968702 1 1544.17605
9 0.149938 -0.037784 -0.551536 0 1.639847 -0.145534 3.281878 1 1756.04636
10 0.129981 0.535394 0.007999 0 0.016454 -0.746742 0.060301 1 2336.69307
11 0.107408 -0.033975 0.324241 0 1.172228 0.031314 1.244092 1 3422.02236
12 0.100514 0.030589 0.225329 0 0.819378 -0.034837 -1.747322 1 3907.57072
CALCULO DE LAS FRECUENCIAS
W=(2*π)/T
W1=(2*π)/1.244648=5.04816246
W2=(2*π)/0.928728=6.76536651
W3=(2*π)/0.869602=7.22535747
W4=(2*π)/0.384681=16.3334953
W5=(2*π)/0.29076=21.6095244
W6=(2*π)/0.272458=23.0611151
W7=(2*π)/0.203837=30.8245574
W8=(2*π)/0.159894=39.2959417
W9=(2*π)/0.149938=41.9052229
W10=(2*π)/0.129981=48.3392596
W11=(2*π)/0.107408=58.4982991
W12=(2*π)/0.100514=62.5105489
CALCULO DEL PORCENTAJE DE MASA PARTICIPATIVA
4. PORCENTAJE DE MASA PARTICIPATIVA
Mode Period UX UY UZ SumUX SumUY SumUZ RX RY RZ SumRX SumRY SumRZ
1 1.244648 90.1419 0.0023 0 90.1419 0.0023 0 0.0024 98.9166 0.1368 0.0024 98.9166 0.1368
2 0.928728 0.0631 53.5977 0 90.2051 53.6 0 56.7841 0.0736 39.018 56.7865 98.9902 39.1548
3 0.869602 0.0489 39.2273 0 90.254 92.8273 0 41.3789 0.0583 53.0724 98.1654 99.0485 92.2272
4 0.384681 7.6418 0.0002 0 97.8958 92.8275 0 0 0.8138 0.004 98.1655 99.8623 92.2312
5 0.29076 0.0077 3.3842 0 97.9035 96.2117 0 0.9832 0.0004 2.7296 99.1487 99.8627 94.9609
6 0.272458 0.0055 2.5641 0 97.9089 98.7758 0 0.7428 0.0003 3.5656 99.8914 99.8629 98.5265
7 0.203837 1.6068 0.0001 0 99.5157 98.7759 0 0 0.1263 0.0003 99.8914 99.9892 98.5267
8 0.159894 0.0033 0.5391 0 99.519 99.315 0 0.0443 0.0004 0.5191 99.9358 99.9896 99.0459
9 0.149938 0.002 0.4272 0 99.521 99.7422 0 0.0353 0.0003 0.6344 99.9711 99.9898 99.6803
10 0.129981 0.4026 0.0001 0 99.9236 99.7423 0 0 0.0073 0.0002 99.9711 99.9972 99.6805
11 0.107408 0.0016 0.1477 0 99.9252 99.89 0 0.0181 0 0.0912 99.9892 99.9972 99.7717
12 0.100514 0.0013 0.0713 0 99.9265 99.9613 0 0.0088 0 0.1798 99.998 99.9972 99.9515
Mi= FPi[∑_(i=1)^n▒(∅i x mi) ]
Primer modo:
Mi = 0.907 x [(1 x 9.944)+(1.531 x 9.773)+(1.695 x 2.178)] = 20.905
%M1 = 20.905/21.945 x100 = 95.261%
Segundo modo:
Mi = 0.254 x [(1 x 9.944)+( - 0.344 x 9.773)+(-1.3 x 2.178)] = 0.953
%M1 = 0.953/21.945 x100 = 4.343 %
Tercer modo:
Mi = 0.015 x [(1 x 9.944)+(-2.166 x 9.773)+(6.087 x 2.178)] = 0.03
%M1 = 0.03/21.945 x100 = 0.137 %
3. MODAL PARTICIPACION FACTOR
Mode Period UX UY UZ RX RY RZ ModalMass ModalStiff
1 1.244648 -8.0115 -0.040516 0 0.430234 -86.762883 -1.524061 1 25.483935
2 0.928728 -0.212006 6.177651 0 -65.737452 -2.366948 25.737456 1 45.770191
3 0.869602 0.186594 5.284994 0 -56.116283 2.106346 -30.017024 1 52.205822
4 0.384681 -2.332647 -0.012188 0 -0.060745 7.869789 -0.260577 1 266.783738
5 0.29076 0.073937 -1.552318 0 -8.650052 -0.16614 -6.807483 1 466.970959
6 0.272458 -0.062504 -1.351196 0 -7.518322 0.139912 7.780376 1 531.815878
7 0.203837 1.069625 0.008406 0 -0.013161 3.099926 0.066456 1 950.149667
8 0.159894 -0.048119 0.619559 0 -1.836709 -0.164797 2.968702 1 1544.17605
9 0.149938 -0.037784 -0.551536 0 1.639847 -0.145534 3.281878 1 1756.04636
10 0.129981 0.535394 0.007999 0 0.016454 -0.746742 0.060301 1 2336.69307
11 0.107408 -0.033975 0.324241 0 1.172228 0.031314 1.244092 1 3422.02236
12 0.100514 0.030589 0.225329 0 0.819378 -0.034837 -1.747322 1 3907.57072
CALCULO DE LAS FRECUENCIAS
W=(2*π)/T
W1=(2*π)/1.244648=5.04816246
W2=(2*π)/0.928728=6.76536651
W3=(2*π)/0.869602=7.22535747
W4=(2*π)/0.384681=16.3334953
W5=(2*π)/0.29076=21.6095244
W6=(2*π)/0.272458=23.0611151
W7=(2*π)/0.203837=30.8245574
W8=(2*π)/0.159894=39.2959417
W9=(2*π)/0.149938=41.9052229
W10=(2*π)/0.129981=48.3392596
W11=(2*π)/0.107408=58.4982991
W12=(2*π)/0.100514=62.5105489
CALCULO DEL PORCENTAJE DE MASA PARTICIPATIVA
4. PORCENTAJE DE MASA PARTICIPATIVA
Mode Period UX UY UZ SumUX SumUY SumUZ RX RY RZ SumRX SumRY SumRZ
1 1.244648 90.1419 0.0023 0 90.1419 0.0023 0 0.0024 98.9166 0.1368 0.0024 98.9166 0.1368
2 0.928728 0.0631 53.5977 0 90.2051 53.6 0 56.7841 0.0736 39.018 56.7865 98.9902 39.1548
3 0.869602 0.0489 39.2273 0 90.254 92.8273 0 41.3789 0.0583 53.0724 98.1654 99.0485 92.2272
4 0.384681 7.6418 0.0002 0 97.8958 92.8275 0 0 0.8138 0.004 98.1655 99.8623 92.2312
5 0.29076 0.0077 3.3842 0 97.9035 96.2117 0 0.9832 0.0004 2.7296 99.1487 99.8627 94.9609
6 0.272458 0.0055 2.5641 0 97.9089 98.7758 0 0.7428 0.0003 3.5656 99.8914 99.8629 98.5265
7 0.203837 1.6068 0.0001 0 99.5157 98.7759 0 0 0.1263 0.0003 99.8914 99.9892 98.5267
8 0.159894 0.0033 0.5391 0 99.519 99.315 0 0.0443 0.0004 0.5191 99.9358 99.9896 99.0459
9 0.149938 0.002 0.4272 0 99.521 99.7422 0 0.0353 0.0003 0.6344 99.9711 99.9898 99.6803
10 0.129981 0.4026 0.0001 0 99.9236 99.7423 0 0 0.0073 0.0002 99.9711 99.9972 99.6805
11 0.107408 0.0016 0.1477 0 99.9252 99.89 0 0.0181 0 0.0912 99.9892 99.9972 99.7717
12 0.100514 0.0013 0.0713 0 99.9265 99.9613 0 0.0088 0 0.1798 99.998 99.9972 99.9515
Mi= FPi[∑_(i=1)^n▒(∅i x mi) ]
Primer modo:
Mi = 0.907 x [(1 x 9.944)+(1.531 x 9.773)+(1.695 x 2.178)] = 20.905
%M1 = 20.905/21.945 x100 = 95.261%
Segundo modo:
Mi = 0.254 x [(1 x 9.944)+( - 0.344 x 9.773)+(-1.3 x 2.178)] = 0.953
%M1 = 0.953/21.945 x100 = 4.343 %
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