Cálculos-Péndulo invertido
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MODELO MATEMÁTICO REGISTRO DE DATOS Delta - 0.100 m Fracción de amortiguamiento Epsilon 0.020 largo L 1.200 m ancho b 0.010 m espesor t 0.004 m Módulo de elasticidad E 2.00E+07 ton/m2 Masa concentrada m 0.748 kg RESULTADOS Momento de inercia I 3.33E-10 m4 Rigidez lateral K 0.012 ton/m Frecuencia circular natural Wn 12.320 rad/s Periodo oscilación natural Tn 0.510 seg Frecuencia circular amortiguadora Wd 12.318 rad/s Periodo oscilación amortiguadora Td 0.510 seg MODELO FÍSICO REGISTRO DE DATOS Delta - 0.100 m número de oscilaciones n 8 Posición 1ra oscilación d0 0.090 m dn 0.020 m Hora Inicio t0 2.000 seg Final tn 11.000 seg RESULTADOS Periodo oscilación natural Tn 1.125 seg Frecuencia circular natural Wn 5.585 rad/s Fracción de amortiguamiento Epsilon 0.030 Frecuencia circular amortiguadora Wd 5.583 rad/s Periodo oscilación amortiguadora Td 1.126 seg Dimensiones de la barra n-ava oscilación
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Transcript of Cálculos-Péndulo invertido
ClculosMODELO MATEMTICOREGISTRO DE DATOSDelta-0.100mFraccin de amortiguamiento Epsilon0.020Dimensiones de la barralargoL1.200manchob0.010mespesort0.004mMdulo de elasticidadE2.00E+07ton/m2Masa concentradam0.748kg
RESULTADOS
Momento de inerciaI3.33E-10m4Rigidez lateralK0.012ton/mFrecuencia circular naturalWn12.320rad/sPeriodo oscilacin naturalTn0.510segFrecuencia circular amortiguadoraWd12.318rad/sPeriodo oscilacin amortiguadoraTd0.510seg
MODELO FSICOREGISTRO DE DATOSDelta-0.100mnmero de oscilacionesn8Posicin 1ra oscilacind00.090mn-ava oscilacindn0.020mHoraIniciot02.000segFinaltn11.000seg
RESULTADOS
Periodo oscilacin naturalTn1.125segFrecuencia circular naturalWn5.585rad/sFraccin de amortiguamiento Epsilon0.030Frecuencia circular amortiguadoraWd5.583rad/sPeriodo oscilacin amortiguadoraTd1.126seg
ComparacinParmetroMODELOCOMPARACIN (%)MatemticoFsicoPeriodo de oscilacinNatural0.51001.1250121%Amortiguadora0.51011.1255121%Frecuencia de oscilacinNatural12.32055.585155%Amortiguadora12.31805.582655%Fraccin amortiguadora0.02000.029950%
Grfica-MMt(seg)d(m)0.000.1000.020.0980.030.0930.050.0840.060.0730.080.0590.090.0440.110.0270.120.0090.14-0.0090.15-0.0260.17-0.0430.18-0.0580.20-0.0700.21-0.0810.23-0.0880.24-0.0930.26-0.0940.27-0.0920.29-0.0870.30-0.0790.32-0.0680.33-0.0560.35-0.0410.36-0.0250.38-0.0080.390.0080.410.0250.420.0400.440.0540.450.0660.470.0760.480.0830.500.0870.510.0880.530.0860.540.0820.560.0740.570.0640.590.0520.600.0390.620.0240.630.0080.65-0.0080.66-0.0230.68-0.0380.69-0.0510.71-0.0620.72-0.0710.74-0.0780.75-0.0820.77-0.0830.78-0.0810.80-0.0770.81-0.0700.83-0.0600.84-0.0490.86-0.0360.87-0.0220.89-0.0080.900.0070.920.0220.930.0350.950.0480.960.0580.980.0670.990.0731.010.0771.020.0781.040.0761.050.0721.070.0651.080.0571.100.0461.110.0341.130.0211.140.0071.16-0.0071.17-0.0201.19-0.0331.20-0.0451.22-0.0551.23-0.0631.25-0.0691.26-0.0721.28-0.0731.29-0.0721.31-0.0681.32-0.0621.34-0.0531.35-0.0431.37-0.0321.38-0.0201.40-0.0071.410.0061.430.0191.440.0311.460.0421.470.0511.490.0591.500.0641.520.0681.530.0691.550.0671.560.0641.580.0581.590.0501.610.0411.620.0301.640.0181.650.0061.67-0.0061.68-0.0181.70-0.0291.71-0.0391.73-0.0481.74-0.0551.76-0.0601.77-0.0641.79-0.0641.80-0.0631.82-0.0601.83-0.0541.85-0.0471.86-0.0381.88-0.0281.89-0.0171.90-0.0061.920.0061.930.0171.950.0271.960.0371.980.0451.990.0522.010.0572.020.0602.040.0602.050.0592.070.0562.090.0512.100.0442.120.0362.130.0272.150.0162.160.0062.18-0.0052.19-0.0162.21-0.0262.22-0.0352.24-0.0422.25-0.0492.27-0.0532.28-0.0562.30-0.0572.31-0.0562.33-0.0532.34-0.0482.36-0.0422.37-0.0342.39-0.0252.40-0.0152.42-0.0052.430.0052.450.0152.460.0242.480.0332.490.0402.510.0462.520.0502.540.0532.550.0532.570.0522.580.0492.600.0452.610.0392.630.0322.640.0242.660.0142.670.0052.69-0.0042.70-0.0142.72-0.0232.73-0.0312.75-0.0372.76-0.0432.78-0.0472.79-0.0492.81-0.0502.82-0.0492.84-0.0462.85-0.0422.87-0.0372.88-0.0302.90-0.0222.91-0.0142.93-0.0052.940.0042.960.0132.970.0212.990.0293.000.0353.020.0403.030.0443.050.0463.060.0473.080.0463.090.0443.110.0403.120.0343.140.0283.150.0213.170.0133.180.0053.20-0.0043.21-0.0123.23-0.0203.24-0.0273.26-0.0333.27-0.0383.29-0.0413.30-0.0443.32-0.0443.33-0.0433.35-0.0413.36-0.0373.38-0.0323.39-0.0263.41-0.0203.42-0.0123.44-0.0043.450.0043.470.0113.480.0193.500.0253.510.0313.530.0363.540.0393.560.0413.570.0413.590.0413.600.0393.620.0353.630.0303.650.0253.660.0183.680.0113.690.0043.71-0.0033.72-0.0113.74-0.0173.75-0.0243.77-0.0293.78-0.0333.80-0.0363.81-0.0383.83-0.0393.84-0.0383.86-0.0363.87-0.0333.89-0.0293.90-0.0233.92-0.0173.93-0.0113.95-0.0043.960.0033.980.0103.990.0164.010.0224.020.0274.040.0314.050.0344.070.0364.080.0374.100.0364.110.0344.130.0314.140.0274.160.0224.170.0164.190.0104.200.0044.22-0.0034.23-0.0094.25-0.0154.26-0.0214.28-0.0264.29-0.0294.31-0.0324.32-0.0344.34-0.0344.35-0.0344.37-0.0324.38-0.0294.40-0.0254.41-0.0214.43-0.0154.44-0.0094.46-0.0034.470.0034.490.0094.500.0144.520.0204.530.0244.550.0284.560.0304.580.0324.590.0324.610.0324.620.0304.640.0274.650.0244.670.0194.680.0144.700.0094.710.0034.73-0.0034.74-0.0084.75-0.0144.77-0.0184.78-0.0234.80-0.0264.81-0.0284.83-0.0304.84-0.0304.86-0.0304.87-0.0284.89-0.0264.90-0.0224.92-0.0184.93-0.0134.95-0.0084.96-0.0034.980.0024.990.0085.010.0135.020.0175.040.0215.050.0245.070.0275.080.0285.100.0285.110.0285.130.0265.140.0245.160.0215.170.0175.190.0135.200.0085.220.0035.23-0.0025.25-0.0075.26-0.0125.28-0.0165.29-0.0205.31-0.0235.32-0.0255.34-0.0265.35-0.0275.37-0.0265.38-0.0255.40-0.0235.41-0.0205.43-0.0165.44-0.0125.46-0.0075.47-0.0035.490.0025.500.0075.520.0115.530.0155.550.0195.560.0215.580.0235.590.0255.610.0255.620.0255.640.0235.650.0215.670.0185.680.0155.700.0115.710.0075.730.0035.74-0.0025.76-0.0065.77-0.0105.79-0.0145.80-0.0175.82-0.0205.83-0.0225.85-0.0235.86-0.0245.88-0.0235.89-0.0225.91-0.0205.92-0.0175.94-0.0145.95-0.0115.97-0.0075.98-0.0026.000.0026.010.0066.030.0106.040.0136.060.0166.070.0196.090.0216.100.0226.120.0226.130.0226.150.0216.160.0196.180.0166.190.0136.210.0106.220.0066.240.0026.25-0.0026.27-0.0066.28-0.0096.30-0.0136.31-0.0156.33-0.0186.34-0.0196.36-0.0206.37-0.0216.39-0.0206.40-0.0196.42-0.0186.43-0.0156.45-0.0136.46-0.0096.48-0.0066.49-0.0026.510.0026.520.0056.540.0096.550.0126.570.0146.580.0176.600.0186.610.0196.630.0206.640.0196.660.0186.670.0176.690.0146.700.0126.720.0096.730.0056.750.0026.76-0.0016.78-0.0056.79-0.0086.81-0.0116.82-0.0146.84-0.0166.85-0.0176.87-0.0186.88-0.0186.90-0.0186.91-0.0176.93-0.0166.94-0.0146.96-0.0116.97-0.0086.99-0.0057.00-0.0027.020.0017.030.0057.050.0087.060.0107.080.0137.090.0157.110.0167.120.0177.140.0177.150.0177.170.0167.180.0157.200.0137.210.0107.230.0087.240.0057.260.0027.27-0.0017.29-0.0047.30-0.0077.32-0.0107.33-0.0127.35-0.0147.36-0.0157.38-0.0167.39-0.0167.41-0.0167.42-0.0157.44-0.0147.45-0.0127.47-0.0107.48-0.0077.50-0.0057.51-0.0027.530.0017.540.0047.560.0077.570.0097.590.0117.600.0137.620.0147.630.0157.650.0157.660.0157.680.0147.690.0137.710.0117.720.0097.740.0077.750.0047.770.0027.78-0.0017.80-0.0047.81-0.0067.83-0.0097.84-0.0117.86-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