Download - Método de Newmark
MÉTODO DE NEWMARK
Gravedad (g) 32.20
Piso 1 2 3
<> 0* 300.00 200.00 100.00
0* 12.88 9.66 6.44
0.40 0.30 0.20
Frecuencia fundamental
175.732
13.256 rad/seg
Configuración del primer modoA1 1.000A2 2.149A3 3.313A4 -A5 -A6 -A7 -A8 -A9 -A10 -
ft/s2
Rigidez, ki (lb/ft)
Peso, Wi (lb)
Masa, mi (lb s2 / ft)
ωi2
ωi
4 5 6 7 8 9
1.00 1.00 1.00 1.00 1.00 1.00
0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00
10
1.00
0.00
0.00
k1 m1 k2300.00 0.40 200.00
Iteración 1
1 1.00000
2 0.40000
3 1.60000 1.20000
4 0.00533 0.00600
5 0.00533
6 187.50000
Iteración 2
1 1.00000
2 0.40000
3 1.68750 1.28750
4 0.00563 0.00644
5 0.00563
6 177.77778
Iteración 3
1 1.00000
2 0.40000
3 1.70333 1.30333
4 0.00568 0.00652
5 0.00568
6 176.12524
Iteración 4
1 1.00000
2 0.40000
3 1.70636 1.30636
4 0.00569 0.00653
5 0.00569
6 175.81283
Iteración 5
1 1.00000
2 0.40000
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
3 1.70698 1.30698
4 0.00569 0.00653
5 0.00569
6 175.74942
Iteración 6
1 1.00000
2 0.40000
3 1.70711 1.30711
4 0.00569 0.00654
5 0.00569
6 175.73604
Iteración 7
1 1.00000
2 0.40000
3 1.70713 1.30713
4 0.00569 0.00654
5 0.00569
6 175.73316
Iteración 8
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73254
Iteración 9
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73240
Iteración 10
1 1.00000
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73237
Iteración 11
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73237
Iteración 12
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
Iteración 13
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
Iteración 14
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
Iteración 15
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
Iteración 16
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
Iteración 17
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
Iteración 18
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
Iteración 19
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
Iteración 20
1 1.00000
2 0.40000
3 1.70714 1.30714
4 0.00569 0.00654
5 0.00569
6 175.73236
xi
Fi/ωi2 = mixi
Vi/ωi2 = ΣFi/ωi
2
Δxi/ωi2 = (Vi/ωi
2)/Ki
xi/ωi2 = ΣΔxi/ωi
2
ωi2 = xi/(xi/ωi
2)
m2 k3 m3 k4 m4 k50.30 100.00 0.20 1.00 0.00 1.00
Iteración 1
2.00000 3.00000 4.00000
0.60000 0.60000 0.00000
0.60000 0.00000 0.00000
0.00600 0.00000 0.00000
0.01133 0.01733 0.01733
176.47059 173.07692 230.76923
Iteración 2
2.12500 3.25000 3.25000
0.63750 0.65000 0.00000
0.65000 0.00000 0.00000
0.00650 0.00000 0.00000
0.01206 0.01856 0.01856
176.16580 175.08418 175.08418
Iteración 3
2.14444 3.30000 3.30000
0.64333 0.66000 0.00000
0.66000 0.00000 0.00000
0.00660 0.00000 0.00000
0.01219 0.01879 0.01879
175.85421 175.58380 175.58380
Iteración 4
2.14775 3.31018 3.31018
0.64432 0.66204 0.00000
0.66204 0.00000 0.00000
0.00662 0.00000 0.00000
0.01222 0.01884 0.01884
175.76170 175.69919 175.69919
Iteración 5
2.14837 3.31232 3.31232
0.64451 0.66246 0.00000
0.66246 0.00000 0.00000
0.00662 0.00000 0.00000
0.01222 0.01885 0.01885
175.73905 175.72504 175.72504
Iteración 6
2.14850 3.31278 3.31278
0.64455 0.66256 0.00000
0.66256 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73385 175.73075 175.73075
Iteración 7
2.14853 3.31288 3.31288
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73269 175.73201 175.73201
Iteración 8
2.14853 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73244 175.73229 175.73229
Iteración 9
2.14853 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73238 175.73235 175.73235
Iteración 10
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73237 175.73236 175.73236
Iteración 11
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 12
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 13
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 14
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 15
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 16
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 17
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 18
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 19
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 20
2.14854 3.31290 3.31290
0.64456 0.66258 0.00000
0.66258 0.00000 0.00000
0.00663 0.00000 0.00000
0.01223 0.01885 0.01885
175.73236 175.73236 175.73236
m5 k6 m6 k7 m7 k80.00 1.00 0.00 1.00 0.00 1.00
Iteración 1
5.00000 6.00000 7.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01733 0.01733 0.01733
288.46154 346.15385 403.84615
Iteración 2
3.25000 3.25000 3.25000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01856 0.01856 0.01856
175.08418 175.08418 175.08418
Iteración 3
3.30000 3.30000 3.30000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01879 0.01879 0.01879
175.58380 175.58380 175.58380
Iteración 4
3.31018 3.31018 3.31018
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01884 0.01884 0.01884
175.69919 175.69919 175.69919
Iteración 5
3.31232 3.31232 3.31232
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.72504 175.72504 175.72504
Iteración 6
3.31278 3.31278 3.31278
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73075 175.73075 175.73075
Iteración 7
3.31288 3.31288 3.31288
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73201 175.73201 175.73201
Iteración 8
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73229 175.73229 175.73229
Iteración 9
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73235 175.73235 175.73235
Iteración 10
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 11
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 12
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 13
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 14
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 15
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 16
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 17
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 18
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 19
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 20
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.00000 0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
m8 k9 m9 k10 m100.00 1.00 0.00 1.00 0.00
Iteración 1
8.00000 9.00000 10.00000
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01733 0.01733 0.01733
461.53846 519.23077 576.92308
Iteración 2
3.25000 3.25000 3.25000
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01856 0.01856 0.01856
175.08418 175.08418 175.08418
Iteración 3
3.30000 3.30000 3.30000
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01879 0.01879 0.01879
175.58380 175.58380 175.58380
Iteración 4
3.31018 3.31018 3.31018
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01884 0.01884 0.01884
175.69919 175.69919 175.69919
Iteración 5
3.31232 3.31232 3.31232
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.72504 175.72504 175.72504
Iteración 6
3.31278 3.31278 3.31278
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73075 175.73075 175.73075
Iteración 7
3.31288 3.31288 3.31288
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73201 175.73201 175.73201
Iteración 8
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73229 175.73229 175.73229
Iteración 9
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73235 175.73235 175.73235
Iteración 10
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 11
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 12
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 13
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 14
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 15
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 16
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 17
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 18
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 19
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236
Iteración 20
3.31290 3.31290 3.31290
0.00000 0.00000 0.00000
0.00000 0.00000
0.00000 0.00000
0.01885 0.01885 0.01885
175.73236 175.73236 175.73236