Evaluacion de La Integral de Duhamel Para Cargas Sismicas

12
Evaluacion de la Integral de Duhamel para cargas sismicas (Acelerograma) 0.0 -200.00 -100.00 0.00 100.00 200.00 Amortigua- miento( β) 0.08 Periodo(T) 0.05 Umax 0.008843 139.6403 0 .14 frecuencia cir.s/a(w) 125.664 frecuencia cir.c/a(wD) 125.261 Cara sismica U( τ ) !iem"o de #a cara ( τ ) ex"($w τ ) %n!era# (1) %n!era# (&) %n!era# (3) %n!era# (4) ' U(!) cm. U(!) cm/se& U(!) 0.00 0 1.0000 0.00063 *0.00 9 0.00001 0.00006 0.00000 0.00000 0.00000 0.00 0.00 1.6+ 0.01 1.10+8 0.008++1 *0.00&1 0.0000+ 0.00010 0.00004 0.0000+ 0.0000& 0.38 0.00 3.30 0.0& 1.&&& 0.00+138 0.0083 0.000&0 0.00003 *0.00004 0.000&+ 0.0001+ &.3& 0.00 4.94 0.03 1.3+&0 *0.006901 0.0083 0.00019 *0.000& *0.00044 0.000&3 0.00033 +.16 0.01 6.+9 0.04 1.49+0 *0.0110+6 *0.0044 *0.000&6 *0.00040 *0.00061 *0.00036 0.00046 .&+ 0.01 8.&4 0.0+ 1.6+31 0.000 88 *0.0131 *0.00064 0.00014 0.00011 *0.00086 0.000+& 8.1 0.01 9.89 0.06 1.8& 9 0.014064 *0.003 *0.00011 0.00086 0.0010+ *0.00016 0.000+ 9.0+ 0.01 11.+4 0.0 &.0&13 0.008 6 0.013+ 0.00100 0.000+0 0.000+8 0.00131 0.00069 10.8+ 0.01 13.18 0.08 &.&3+0 *0.011131 0.0139 0.00101 *0.00099 *0.00139 0.0013& 0.00084 13.&& 0.01 14.83 0.09 &.4 14 *0.0184&0 *0.0069 *0.000 6 *0.001+9 *0.00&18 *0.0010& 0.00096 1+.1+ 0.0& 16.48 0.1 &. 3&8 0.00086+ *0.0&1 *0.00&1+ 0.000&6 0.000&6 *0.00&8+ 0.00104 16.3 0.0& 18.13 0.11 3.0&18 0.0&31&1 *0.0066 *0.000+4 0.00&+8 0.00331 *0.000 & 0.00111 1 .+4 0.0& 19. 8 0.1& 3.3413 0.014938 0.0&&0 0.00& 4 0.00161 0.00&03 0.00360 0.001&& 19.& 0.0& &1.43 0.13 3.694 *0.01 93+ 0.0&33 0.00&8 *0.00&+0 *0.00338 0.003 0.0013+ &1.36 0.0& &3.0 0.14 4.08++ *0.0306 3 *0.0108 *0.001 + *0.00419 *0.00++9 *0.00&31 0.0014 &3.18 0.0& &4. & 0.1+ 4.+1 + 0.000 0 *0.03+9 *0.00+36 0.00039 0.00043 *0.00 0 0.001+6 &4.+8 0.03 &6.3 0.16 4.99+3 0.03 993 *0.011 *0.001+6 0.0061+ 0.00801 *0.00&0 0.00164 &+.93 0.03 &8.0& 0.1 +.+&36 0.0&+4&1 0.03+9 0.006& 0.0040& 0.00+&1 0.008&4 0.001 + & .63 0.03

description

planilla excel

Transcript of Evaluacion de La Integral de Duhamel Para Cargas Sismicas

Evaluacion de la Integral de Duhamel para cargas sismicas (Acelerograma)

Amortigua- miento( )0.08Periodo(T)0.05Umax0.008843139.64030.14

frecuencia cir.s/a(w)125.664frecuencia cir.c/a(wD)125.261

Carga sismica Ug()tiempo de la carga ()exp(w)Integral (1)Integral (2)Integral (3)Integral (4)ABU(t) cm.U(t) cm/seg2U(t) g

0.0001.00000.000637-0.00790.000010.000060.000000.000000.000000.000.00

1.650.011.10580.008551-0.00210.000050.000100.000040.000050.000020.380.00

3.300.021.22270.0051380.00830.000200.00003-0.000040.000250.000152.320.00

4.940.031.3520-0.0069010.00830.00019-0.00027-0.000440.000230.000335.160.01

6.590.041.4950-0.011056-0.0044-0.00026-0.00040-0.00061-0.000360.000467.250.01

8.240.051.65310.000788-0.0131-0.000640.000140.00011-0.000860.000528.170.01

9.890.061.82790.014064-0.0037-0.000110.000860.00105-0.000160.000579.050.01

11.540.072.02130.0087670.01350.001000.000500.000580.001310.0006910.850.01

13.180.082.2350-0.0111310.01390.00101-0.00099-0.001390.001320.0008413.220.01

14.830.092.4714-0.018420-0.0069-0.00076-0.00159-0.00218-0.001020.0009615.150.02

16.480.12.73280.000865-0.0217-0.002150.000260.00026-0.002850.0010416.370.02

18.130.113.02180.023121-0.0066-0.000540.002580.00331-0.000720.0011117.540.02

19.780.123.34130.0149380.02200.002740.001610.002030.003600.0012219.270.02

21.430.133.6947-0.0179350.02330.00287-0.00250-0.003380.003770.0013521.360.02

23.070.144.0855-0.030673-0.0108-0.00175-0.00419-0.00559-0.002310.0014723.180.02

24.720.154.51750.000707-0.0359-0.005360.000390.00043-0.007070.0015624.580.03

26.370.164.99530.037993-0.0117-0.001560.006150.00801-0.002070.0016425.930.03

28.020.175.52360.0254210.03590.006270.004020.005210.008240.0017527.630.03

29.670.186.1077-0.0288660.03910.00678-0.00549-0.007300.008910.0018729.540.03

23.320.196.7537-0.051054-0.0168-0.00358-0.00953-0.01229-0.002760.0018629.450.03

16.980.27.4679-0.000028-0.0594-0.011850.00047-0.00433-0.009880.0013721.560.02

10.640.218.25770.062405-0.0206-0.003820.013230.00273-0.005950.000589.230.01

4.290.229.13110.0432100.05840.013160.009020.00202-0.001180.000050.770.00

-2.050.2310.0967-0.0464070.06560.01468-0.011160.00130-0.00063-0.00012-1.880.00

-8.390.2411.1645-0.084940-0.0260-0.00691-0.020120.002430.00344-0.00028-4.400.00

-14.730.2512.3453-0.002024-0.0982-0.024510.00027-0.005660.00968-0.00073-11.60-0.01

-21.080.2613.65090.102455-0.0361-0.008550.02686-0.020300.00021-0.00136-21.55-0.02

-27.420.2715.09460.0733600.09510.026200.01901-0.01394-0.02509-0.00185-29.24-0.03

-33.760.2816.6910-0.0745170.10990.03012-0.021690.02232-0.02792-0.00211-33.39-0.03

-40.100.2918.4562-0.141253-0.0402-0.01276-0.040550.041210.01679-0.00237-37.39-0.04

-46.450.320.4080-0.006615-0.1623-0.04863-0.00069-0.006030.05828-0.00280-44.20-0.05

-52.790.3122.56640.168133-0.0631-0.018180.05251-0.074790.01799-0.00334-52.73-0.05

-59.130.3224.95290.1244130.15480.050410.03851-0.05406-0.07919-0.00379-59.92-0.06

-65.470.3327.5919-0.1195000.18420.05972-0.040820.06753-0.09252-0.00411-64.96-0.07

-71.820.3430.5099-0.234798-0.0618-0.02283-0.079190.129440.04302-0.00442-69.87-0.07

-78.160.3533.7366-0.016335-0.2680-0.09375-0.00358-0.002570.16536-0.00484-76.47-0.08

-84.500.3637.30450.275786-0.1099-0.037290.09998-0.191510.06104-0.00533-84.13-0.09

-90.840.3741.24980.2107790.25160.094620.07586-0.14402-0.19179-0.00576-91.00-0.09

-97.190.3845.6123-0.1913740.30840.11549-0.075050.15831-0.23225-0.00612-96.57-0.10

-103.530.3950.4361-0.390123-0.0943-0.03981-0.151150.315450.09167-0.00646-102.04-0.10

-109.870.455.7701-0.035919-0.4423-0.17694-0.010840.011680.38639-0.00687-108.52-0.11

-77.580.4161.66830.452153-0.1907-0.074500.18661-0.359320.21220-0.00676-106.70-0.11

-45.280.4268.19020.3567450.40890.174300.14636-0.32932-0.08310-0.00431-68.02-0.07

-12.990.4375.4018-0.3060290.51610.21918-0.13549-0.17967-0.12610-0.00045-7.18-0.01

19.310.4483.3762-0.647922-0.1429-0.06791-0.28354-0.17089-0.153710.0022836.040.04

51.600.4592.1938-0.074091-0.7299-0.32858-0.027500.00909-0.305380.0032451.170.05

83.900.46101.94410.740955-0.3303-0.145860.342990.44077-0.065810.0041064.820.07

116.190.47112.72550.6032290.66390.316410.277870.302990.726780.00637100.600.10

103.280.48124.6471-0.4886150.86320.40992-0.24107-0.650300.913240.00884139.640.14

90.370.49137.829-1.075622-0.214557-0.113528-0.524668-1.115400.087630.00796125.750.13

77.460.50152.406-0.146752-1.203897-0.602346-0.063733-0.50493-0.584480.0044269.800.07

64.550.51168.5241.213631-0.570592-0.2810120.6227050.27193-0.241100.0021133.340.03

51.640.52186.3471.0190991.0772350.5675600.5207380.200090.523750.0026842.300.04

38.730.53206.055-0.7788321.4429610.757673-0.423731-0.442750.675190.0038661.030.06

25.820.54227.846-1.784897-0.318806-0.186111-0.960179-0.720490.234010.0030548.140.05

12.910.55251.943-0.282624-1.984879-1.092662-0.139518-0.50805-0.038590.000599.360.01

0.000.56278.5881.986858-0.983457-0.5343501.119176-0.38216-0.01299-0.00115-18.20-0.02

0.57VIBRACION LIBRE CON AMORTIGUAMIENTO-0.38216-0.01299-18.95348-299301.386-305.098

0.58-0.38216-0.012997.7739785122761.7477125.1394

0.59-0.38216-0.0129919.900213314251.5644320.338

0.60-0.38216-0.012994.902441377416.2496778.91565

0.61-0.38216-0.01299-13.50159-213208.57-217.338

0.62-0.38216-0.01299-11.64936-183959.28-187.522

0.63-0.38216-0.012994.450677670282.2834271.64351

0.64-0.38216-0.0129912.045968190222.3026193.9065

0.65-0.38216-0.012993.176139150155.5780351.12699

0.66-0.38216-0.01299-8.054727-127195.154-129.659

0.67-0.38216-0.01299-7.155388-112993.361-115.182

0.68-0.38216-0.012992.538796640091.0693840.86755

0.69-0.38216-0.012997.2886897115098.374117.3276

0.70-0.38216-0.012992.047900532339.1478732.96549

0.71-0.382158822-0.01299-4.802342-75835.5424-77.3043

0.72-0.38216-0.01299-4.39229-69360.288-70.7037

0.73-0.38216-0.012991.4422922775.6617823.21678

0.74-0.38216-0.012994.4084069614.6747470.96297

0.75-0.38216-0.012991.3148920763.9306621.16609

0.76-0.38216-0.01299-2.86143-45185.9682-46.0611

0.77-0.38216-0.01299-2.69453-42550.3822-43.3745

0.78-0.38216-0.012990.8155612878.8585913.1283

0.79-0.38216-0.012992.6652442087.7983942.90295

0.80-0.38216-0.012990.8411013282.1397913.53939

0.81-0.38216-0.01299-1.70386-26906.3391-27.4275

0.82-0.38216-0.01299-1.65203-26087.8331-26.5931

0.83-0.38216-0.012990.458737243.9371227.384238

0.84-0.38216-0.012991.6107025435.2037225.92783

0.85-0.38216-0.012990.536248467.9013858.631908

0.86-0.38216-0.01299-1.01390-16010.9421-16.321

0.87-0.38216-0.01299-1.01228-15985.3208-16.2949

0.88-0.38216-0.012990.256444049.487364.127918

0.89-0.38216-0.012990.9730115365.1743315.66277

0.90-0.38216-0.012990.340855382.4210735.486668

0.91-0.38216-0.01299-0.60292-9520.96053-9.70536

0.92-0.38216-0.01299-0.61993-9789.48605-9.97909

0.93-0.38216-0.012990.142322247.4757332.291005

0.94-0.38216-0.012990.587559278.1744999.457874

0.95-0.38216-0.012990.216063411.9052473.477987

0.96-0.38216-0.01299-0.35827-5657.64703-5.76722

0.97-0.38216-0.01299-0.37944-5991.83105-6.10788

0.98-0.38216-0.012990.078321236.7120011.260665

0.99-0.38216-0.012990.354645600.279725.708746

1.00-0.38216-0.012990.136622157.4435362.199229

1.01-0.38216-0.01299-0.21274-3359.4712-3.42454

1.02-0.38216-0.01299-0.23212-3665.43823-3.73643

1.03-0.38216-0.012990.04265673.50486070.686549

1.04-0.38216-0.012990.213973378.9227243.444366

1.05-0.38216-0.012990.086191361.1203291.387482

1.06-0.38216-0.01299-0.12623-1993.30553-2.03191

1.07-0.38216-0.01299-0.14192-2241.11479-2.28452

1.08-0.38216-0.012990.02293362.11970760.369133

1.09-0.38216-0.012990.129052037.8265842.077295

1.10-0.38216-0.012990.05427856.93474920.873532

1.11-0.38216-0.01299-0.07484-1181.76628-1.20465

1.12-0.38216-0.01299-0.08673-1369.55341-1.39608

1.13-0.38216-0.012990.01213191.5634130.195274

1.14-0.38216-0.012990.077801228.5010251.252295

1.15-0.38216-0.012990.03410538.47156260.548901

1.16-0.38216-0.01299-0.04433-700.051369-0.71361

1.17-0.38216-0.01299-0.05297-836.51747-0.85272

1.18-0.38216-0.012990.0062899.204128690.101126

1.19-0.38216-0.012990.04688740.29005250.754628

1.20-0.38216-0.012990.02139337.75584310.344297

1.21-0.38216-0.01299-0.02624-414.336717-0.42236

1.22-0.38216-0.01299-0.03234-510.688897-0.52058

1.23-0.38216-0.012990.0031649.898244420.050865

1.24-0.38216-0.012990.02824445.90771580.454544

1.25-0.38216-0.012990.01339211.50579860.215602

1.26-0.38216-0.01299-0.01552-245.010899-0.24976

1.27-0.38216-0.01299-0.01973-311.621258-0.31766

1.28-0.38216-0.012990.0015224.055010140.024521

1.29-0.38216-0.012990.01700268.47457860.273674

1.30-0.38216-0.012990.00837132.24193510.134803

1.31-0.38216-0.01299-0.00917-144.746358-0.14755

1.32-0.38216-0.01299-0.01204-190.059957-0.19374

1.33-0.38216-0.012990.0006910.837605730.011048

1.34-0.38216-0.012990.01023161.57520410.164705

1.35-0.38216-0.012990.0052382.563225340.084162

1.36-0.38216-0.01299-0.00541-85.428008-0.08708

1.37-0.38216-0.01299-0.00734-115.864512-0.11811

1.38-0.38216-0.012990.000274.3066844510.00439

1.39-0.38216-0.012990.0061697.198081620.099081

1.40-0.38216-0.012990.0032651.476996940.052474

1.41-0.38216-0.01299-0.00319-50.3664776-0.05134

1.42-0.38216-0.01299-0.00447-70.6008024-0.07197

1.43-0.38216-0.012990.000081.2435454340.001268

Evaluacion de la Integral de Duhamel para cargas sismicas (Acelerograma)

Amortigua- miento( )0.08Periodo(T)0.10Umax0.045890181.16810.18

frecuencia cir.s/a(w)62.832frecuencia cir.c/a(wD)62.630

Carga sismica Ug()tiempo de la carga ()exp(w)Integral (1)Integral (2)Integral (3)Integral (4)ABU(t) cm.U(t) cm/seg2U(t) g

0.0001.00000.001273-0.01590.000040.000250.000000.000000.000000.000.00

1.650.011.05160.010863-0.01270.000060.000300.000120.000050.000030.100.00

3.300.021.10580.017102-0.00420.000190.000390.000360.000400.000190.760.00

4.940.031.16280.0171290.00700.000470.000380.000340.001140.000582.290.00

6.590.041.22270.0102760.01650.000800.00014-0.000300.002010.001174.630.00

8.240.051.2857-0.0014320.02040.00097-0.00039-0.001690.002450.001897.470.01

9.890.061.3520-0.0138020.01650.00075-0.00107-0.003480.001870.0026210.330.01

11.540.071.4217-0.0219340.00560.00003-0.00160-0.00486-0.000020.0032312.750.01

13.180.081.4950-0.022113-0.0088-0.00104-0.00160-0.00487-0.002850.0036814.510.01

14.830.091.5721-0.013425-0.0211-0.00209-0.00086-0.00291-0.005600.0039615.620.02

16.480.11.65310.001576-0.0263-0.002570.000570.00085-0.006860.0041416.350.02

18.130.111.73830.017530-0.0214-0.002050.002250.00525-0.005500.0043217.060.02

19.780.121.82790.028128-0.0074-0.000440.003460.00844-0.001250.0045818.090.02

21.430.131.92220.0285430.01100.001870.003500.008550.004810.0049819.650.02

23.070.142.02130.0175330.02700.004020.002000.004620.010470.0055021.700.02

24.720.152.1254-0.0016870.03380.00500-0.00079-0.002730.013050.0061024.070.02

26.370.162.2350-0.0222610.02770.00405-0.00397-0.011110.010550.0067026.450.03

28.020.172.3502-0.0360670.00990.00110-0.00624-0.017090.002790.0072428.580.03

29.670.182.4714-0.036840-0.0138-0.00305-0.00637-0.01741-0.008130.0076830.300.03

23.320.192.5988-0.022891-0.0344-0.00686-0.00377-0.01162-0.016930.0078931.140.03

16.980.22.73280.001731-0.0435-0.008610.00103-0.00376-0.019960.0073529.030.03

10.640.212.87360.028261-0.0360-0.007060.006470.00212-0.018450.0057622.730.02

4.290.223.02180.046241-0.0132-0.002160.010320.00437-0.015840.0032012.610.01

-2.050.233.17750.0475420.01720.004700.010600.00456-0.015320.000110.430.00

-8.390.243.34130.0298760.04400.010980.006430.00618-0.01747-0.00292-11.52-0.01

-14.730.253.5136-0.0016630.05590.01388-0.001300.01208-0.01950-0.00537-21.20-0.02

-21.080.263.6947-0.0358690.04660.01149-0.010020.02182-0.01666-0.00700-27.63-0.03

-27.420.273.8852-0.0592800.01760.00379-0.016210.03074-0.00529-0.00787-31.08-0.03

-33.760.284.0855-0.061346-0.0216-0.00698-0.016760.031540.01386-0.00833-32.89-0.03

-40.100.294.2961-0.038980-0.0562-0.01684-0.010360.018160.03417-0.00883-34.86-0.04

-46.450.34.51750.001414-0.0719-0.021450.00156-0.009850.04482-0.00977-38.57-0.04

-52.790.314.75040.045513-0.0604-0.017920.01501-0.044740.03546-0.01135-44.81-0.05

-59.130.324.99530.075986-0.0234-0.006250.02459-0.071790.00223-0.01352-53.37-0.05

-65.470.335.25280.0791500.02690.010100.02559-0.07467-0.04785-0.01601-63.22-0.06

-71.820.345.52360.0508430.07170.025100.01608-0.04339-0.09682-0.01848-72.97-0.07

-78.160.355.8083-0.0008880.09240.03222-0.001780.01868-0.12136-0.02062-81.39-0.08

-84.500.366.1077-0.0577320.07820.02714-0.021950.09244-0.10257-0.02225-87.85-0.09

-90.840.376.4226-0.0973900.03100.00990-0.036400.14772-0.03632-0.02343-92.49-0.09

-97.190.386.7537-0.102109-0.0336-0.01434-0.038140.154470.06074-0.02435-96.11-0.10

-103.530.397.1018-0.066296-0.0915-0.03664-0.024320.096760.15346-0.02528-99.80-0.10

-109.870.47.4679-0.000056-0.1189-0.047390.00186-0.016270.19965-0.02647-104.51-0.11

-77.580.417.85290.073212-0.1013-0.040240.03153-0.126230.17539-0.02743-108.30-0.11

-45.280.428.25770.124810-0.0412-0.015260.05291-0.178350.11795-0.02545-100.47-0.10

-12.990.438.68340.1317120.04180.020030.05580-0.183790.07970-0.01855-73.23-0.07

19.310.449.13110.0864190.11680.052630.03606-0.188210.08242-0.00674-26.61-0.03

51.600.459.60180.0016100.15280.06859-0.00170-0.237380.100560.0081932.340.03

83.900.4610.0967-0.0928150.13120.05870-0.04466-0.339140.074560.0235092.750.09

116.190.4710.6172-0.1599300.05460.02303-0.07583-0.44442-0.049830.03654144.270.15

103.280.4811.1645-0.169880-0.0521-0.02764-0.08050-0.46300-0.236490.04506177.910.18

90.370.4911.740-0.112619-0.149096-0.074654-0.052674-0.37557-0.386980.04589181.170.18

77.460.5012.345-0.004049-0.196440-0.0980340.001097-0.23072-0.451540.03827151.080.15

64.550.5112.9820.117630-0.169855-0.0845440.062536-0.09259-0.422750.0245997.080.10

51.640.5213.6510.204911-0.072207-0.0342050.107438-0.01065-0.333200.0092236.380.04

38.730.5314.3550.2190830.0647840.0377290.1148070.00105-0.23464-0.00329-13.01-0.01

25.820.5415.0950.1467200.1902300.1048100.076024-0.03482-0.16932-0.00986-38.91-0.04

12.910.5515.8730.0077480.2525030.1386780.000246-0.07699-0.14862-0.00984-38.85-0.04

0.000.5616.691-0.1490350.2199000.120499-0.086758-0.09337-0.15025-0.00507-20.03-0.02

SISMOGRAMA: