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