ANÁLISIS DINÁMICO

Hoja1

MODELO DINMICO

(Tn)P3=283.55m3=0.289

K 3=315.112

P2=302.66m2=0.309

K2 =315.112

P1=302.66m1=0.309

K1 =517.68

MATRIZ DE RIGIDEZ

K11=K1+K2K12=(-)K2K13=0K21=(-)K2K22=K2+K3K23=(-) K3K31=0K32=(-) K3K33=K3

832.792-315.1120K =-315.112630.224-315.1120-315.112315.112

MATRIZ DE MASAS

m100M =0m2000m3

0.30900M =00.3090000.289

CLCULO DE FRECUENCIAS99295.573-279.380832.792-315.11200.30900198591.145-182.161-97.2190.089-99295.573--315.112630.224-315.112-00.3090=0-99295.57391.0810-315.112315.112000.2890.089-279.38099295.573Cambiamos 74.265-232665.45782692558.450-0.02886.195-30634.860 832.792-315.11200.3090091.081-99295.573-315.112630.224-315.112-00.3090=028700.570-31289226.4550-315.112315.112000.289

160.460-234599.74751403331.995

x1=264.94000W1=16rad/seg.T1=0.39seg.-0.02751160.45970-234599.7469851403331.99458x2=1948.73W2=44rad/seg.T2=0.14seg.x3=3619.11W3=60rad/seg.T3=0.10seg.

PARA W1=16=264.9400

832.792-315.112081.740.000.00110-315.112630.224-315.112-0.0081.740.0021=00-315.112315.1120.000.0076.58310

751.052-315.1120.000-315.112548.484-315.112 0.000-315.112238.533

11 =1 21 =-2.38331 =3.149

PARA W2=44=1948.7300

832.792-315.1120601.230.000.00110-315.112630.224-315.112-0.00601.230.0021=00-315.112315.1120.000.00563.26310

231.566-315.1120.000-315.11228.998-315.1120.000-315.112-248.152

12 =1 22 =-0.73531 =-0.933

PARA W3=60=3619.1100

832.792-315.11201116.570.000.00110-315.112630.224-315.112-0.001116.570.0021=00-315.112315.1120.000.001046.07310

-283.783-315.1120.000-315.112-486.351-315.1120.000-315.112-730.962

12 =122 =0.90131 =0.388

MATRIZ DE EIGEN VECTORES

1.0001.0001.000-2.383-0.7350.9013.149-0.9330.388

MATRIZ DE FRECUENCIAS (MATRIZ DE EIGEN VALORES)

264.9400.0000.0000.0001948.7300.0000.0000.0003619.110

ACELERACIONES

Z =0.4U =1.5Tp=0.6C =2.5S =1.2R =8g =981

Para T1=0.39c =3.886=2.5Para T2=0.14 c =10.539=2.5Para T3=0.10c =14.362=2.5

Sa =220.725 MATRIZ DE ACELERACIONES

220.72500A =0220.725000220.725

NORMALIZAR MODOS

Modo 10.3090000.3090(0.309(12 +2.3832+3.1492))^(1/2)=2.263000.289 Modo 20.8621.0001.0001.000 -2.383-0.7350.901Modo 30.7533.149-0.9330.388 ENTONCES LA MATRIZ MODAL NORMALIZADA RESULTA0.4421.1601.328-1.053-0.8521.1961.392-1.0820.516

MATRIZ DE PARTICIPACIN

0.442-1.0531.392T0.3090010.241P =1.160-0.852-1.08200.30901=-0.2391.3281.1960.516000.28910.879

0.2410.0000.000P =0.000-0.2390.0000.1063704393-0.27709635011.16723.4786152039-61.1620918656257.52206351820.0037744395000.0000.0000.879-0.25352811950.20362955771.051-55.959994170944.9461341191231.918556319700.000513154700.33492080060.25857542860.452953987573.925393717557.074061488199.978268884000.000276311MATRIZ DE DESPLAZAMIENTOS

0.4421.1601.3280.2410.0000.000220.72500264.9400.0000.000U =-1.053-0.8521.1960.000-0.2390.0000220.72500.0001948.7300.0001.392-1.0820.5160.0000.0000.87900220.7250.0000.0003619.110

0.089-0.0310.071U =-0.2110.0230.0640.2790.0290.028

DESPLAZAMIENTOS MXIMOS RESULTANTES

U1=0.12cmU2=0.22cmU3=0.28cm

MATRIZ DE FUERZAS LATERALES

832.792-315.11200.089-0.0310.071F =-315.112630.224-315.112-0.2110.0230.0640-315.112315.1120.2790.0290.028

140.358-33.40639.0654039812F =-248.96415.1979.259154.48193684711.961-11.488

F1 =149.4738269775TnF2=249.5990801953TnF3=154.9209041292Tn

CORTANTE BASAL

Vb =45.876-16.24836.836

Vb =61.037Tn

Hoja2

MODELO DINMICO

(Tn)P3=283.55m3=0.289

K 3=123.598

P2=302.66m2=0.309

K2 =123.598

P1=302.66m1=0.309

K1 =136.623

MATRIZ DE RIGIDEZ


260.221-123.5980K =-123.598247.196-123.5980-123.598123.598

MATRIZ DE MASAS

m100M =0m2000m3

0.30900M =00.3090000.289

CLCULO DE FRECUENCIAS

260.221-123.59800.30900-123.598247.196-123.598-00.3090=00-123.598123.598000.289

Cambiamos 260.221-123.59800.30900-123.598247.196-123.598-00.3090=00-123.598123.598000.289

x1=86.62600W1=9.31rad/seg.T1=0.68seg.x2=659.766W2=25.69rad/seg.T2=0.24seg.x3=1323.41W3=36.38rad/seg.T3=0.17seg.

PARA W1=9.31=86.6260

260.221-123.598026.730.000.00110-123.598247.196-123.598-0.0026.730.0021=00-123.598123.5980.000.0025.04310

233.495-123.5980.000-123.598220.470-123.598 0.000-123.59898.559

11 =1.00 21 =1.8931 =2.37

PARA W2=25.69=659.7660

260.221-123.5980203.550.000.00110-123.598247.196-123.598-0.00203.550.0021=00-123.598123.5980.000.00190.70310

56.669-123.5980.000-123.59843.644-123.5980.000-123.598-67.102

12 =1 22 =0.45831 =-0.845

PARA W3=36.38=1323.4100

260.221-123.5980408.300.000.00110-123.598247.196-123.598-0.00408.300.0021=00-123.598123.5980.000.00382.52310

-148.080-123.5980.000-123.598-161.105-123.5980.000-123.598-258.923

12 =122 =-1.19831 =0.572


1.0001.0001.0001.8890.458-1.1982.369-0.8450.572


86.6260.0000.0000.000659.7660.0000.0000.0001323.410

ACELERACIONES

Z =0.4U =1.5Tp=0.6C =2.5S =1.2R =8g =981



196.00400A =0220.725000220.725

NORMALIZAR MODOS

Modo 10.3090000.3090(0.309(12 +2.3832+3.1492))^(1/2)=1.772000.289 Modo 20.7701.0001.0001.000 1.8890.458-1.198Modo 30.8942.369-0.8450.572 ENTONCES LA MATRIZ MODAL NORMALIZADA RESULTA0.5641.2981.1191.0660.595-1.3411.337-1.0960.640


0.5641.0661.337T0.3090010.915P =1.2980.595-1.09600.30901=0.2461.119-1.3410.640000.28910.121

0.9150.0000.000MinversaP =0.0000.2460.0000.51645364460.31920959480.135101.226980164370.457537812429.86955328720.0115438783000.0000.0000.1210.97565764550.1463551361-0.162191.232801148732.3042374245-35.786041312200.001515688901.2235185429-0.26957789710.077393285239.8145284737-59.5025813317.0826328231000.0007556237MATRIZ DE DESPLAZAMIENTOS

0.5641.2981.1190.9150.0000.000196.0040086.6260.0000.000U =1.0660.595-1.3410.0000.2460.0000220.72500.000659.7660.0001.337-1.0960.6400.0000.0000.12100220.7250.0000.0001323.410

1.1690.1070.023U =2.2080.049-0.0272.768-0.0900.013


U1=1.17cmU2=2.21cmU3=2.77cm


260.221-123.59801.1690.1070.023F =-123.598247.196-123.5982.2080.049-0.0270-123.598123.5982.768-0.0900.013

31.23121.7389.2154118225F =59.10410.051-11.06969.3164215583-17.1994.938

F1 =39.151TnF2=60.966TnF3=71.589Tn

CORTANTE BASAL

Vb =159.65114.5903.084

Vb =160.346Tn

Hoja3

MODELO DINMICO

(Tn)P3=283.55m3=0.289

K 3=83.442

P2=302.66m2=0.309

K2 =83.442

P1=302.66m1=0.309

K1 =106.506

MATRIZ DE RIGIDEZ


189.948-83.4420K =-83.442166.884-83.4420-83.44283.442

MATRIZ DE MASAS

m100M =0m2000m3

0.30900M =00.3090000.289

CLCULO DE FRECUENCIAS

189.948-83.44200.30900-83.442166.884-83.442-00.3090=00-83.44283.442000.289

Cambiamos 189.948-83.44200.30900-83.442166.884-83.442-00.3090=00-83.44283.442000.289

x1=62.81950W1=7.93rad/seg.T1=0.79seg.x2=469.5848W2=21.67rad/seg.T2=0.29seg.x3=910.8058W3=30.18rad/seg.T3=0.21seg.

PARA W1=8=62.8195

189.948-83.442019.380.000.00110-83.442166.884-83.442-0.0019.380.0021=00-83.44283.4420.000.0018.16310

170.567-83.4420.000-83.442147.503-83.442 0.000-83.44265.285

11 =1.00 21 =2.0431 =2.61

PARA W2=22=469.5848

189.948-83.4420144.880.000.00110-83.442166.884-83.442-0.00144.880.0021=00-83.44283.4420.000.00135.73310

45.071-83.4420.000-83.44222.007-83.4420.000-83.442-52.288

12 =1 22 =0.54031 =-0.862

PARA W3=30=910.8058

189.948-83.4420281.000.000.00110-83.442166.884-83.442-0.00281.000.0021=00-83.44283.4420.000.00263.26310

-91.056-83.4420.000-83.442-114.120-83.4420.000-83.442-179.819

12 =122 =-1.09131 =0.506


1.0001.0001.0002.0440.540-1.0912.613-0.8620.506


62.8200.0000.0000.000469.5850.0000.0000.000910.806

ACELERACIONES

Z =0.4U =1.5Tp=0.6C =2.5S =1.2R =8g =981



167.04500A =0220.725000220.725

NORMALIZAR MODOS

Modo 10.3090000.3090(0.309(12 +2.3832+3.1492))^(1/2)=1.924000.289 Modo 20.7921.0001.0001.000 2.0440.540-1.091Modo 30.8412.613-0.8620.506 ENTONCES LA MATRIZ MODAL NORMALIZADA RESULTA0.5201.2621.1891.0620.682-1.2971.358-1.0880.602


0.5201.0621.358T0.3090010.907P =1.2620.682-1.08800.30901=0.2641.189-1.2970.602000.28910.143

0.9070.0000.000MinversaP =0.0000.2640.0000.47122262540.33329041110.17078.715383454273.565525993737.44219588150.015918624000.0000.0000.1430.96324319670.180025223-0.185160.904959788939.7360673448-40.858557713300.002129540801.2311481406-0.28728905430.0858975491205.6571411395-63.411876514818.9597365292000.0010979289MATRIZ DE DESPLAZAMIENTOS

0.5201.2621.1890.9070.0000.000167.0450062.8200.0000.000U =1.0620.682-1.2970.0000.2640.0000220.72500.000469.5850.0001.358-1.0880.6020.0000.0000.14300220.7250.0000.000910.806

1.2530.1570.041U =2.5610.085-0.0453.274-0.1350.021


U1=1.26cmU2=2.56cmU3=3.28cm


189.948-83.44201.2530.1570.041F =-83.442166.884-83.4422.5610.085-0.0450-83.44283.4423.274-0.1350.021

24.28522.69711.552F =49.72712.317-12.65459.444-18.3295.480

F1 =35.190TnF2=52.770TnF3=62.446Tn

CORTANTE BASAL

Vb =133.45616.6854.378

Vb =134.567Tn

ANÁLISIS DINÁMICO

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