C. Petersen, H. Werkle, Dynamik der Baukonstruktionen
2. Auflage, Springer Vieweg, Wiesbaden, 2018
Softwareentwicklung: Andrei Firus (andrei.firus@gmail.com)
Programm ML_13_5: Eingaben- und Ergebnisuebersicht
 
------------------------------------------------------------
 
EINGABEDATEN:
 
Dmpfungsma (fr alle Eigenformen) [-]:
5.000000e-02
 
Nachgiebigkeitsmatrix in [m/N] bzw. [1/Nm]
3.600000e-06 	 9.000000e-06
9.000000e-06 	 2.880000e-05
 
Massenmatrix in [kg] bzw. [kgm^2]
500 	 0
0 	 250
 
Antwortspektrum: s. Dateiende
 
Topologievektor [-]:
1.ter Freiheitsgrad: 	 1
2.ter Freiheitsgrad: 	 1
 
------------------------------------------------------------
 
ERGEBNISSE:
 
Anzahl der Freiheitsgrade:
2
 
Steifigkeitsmatrix [N/m] bzw. [Nm]
1.269841e+06 	 -3.968254e+05
-3.968254e+05 	 1.587302e+05
 
Eigenkreisfrequenzen [1/s] 	 Eigenfrequenzen [Hz] 	 Eigenschwingzeiten [s]
1.073772e+01 	 1.708961e+00 	 5.851507e-01
5.531098e+01 	 8.803016e+00 	 1.135974e-01
 
Spektralbeschleunigungen bei den Eigenschwingzeiten [m/s^2]:
1.te Eigenschwingzeit: 	 7.690346e-01
2.te Eigenschwingzeit: 	 1.125000e+00
 
Normierte Eigenformmatrix [-]
3.273618e-01 	 1
1 	 -6.547237e-01
 
Modale Steifigkeiten [N/m] bzw. [Nm]:
1.te Eigenform: 	 3.500270e+04
2.te Eigenform: 	 1.857505e+06
 
Modale Massen in [kg] bzw. [kgm^2]:
1.te Eigenform: 	 3.035829e+02
2.te Eigenform: 	 6.071658e+02
 
Beteiligungsfaktoren in [kg] bzw. [kgm^2]:
1.te Eigenform: 	 4.136809e+02
2.te Eigenform: 	 3.363191e+02
 
Ersatzmassen in [kg] bzw. [kgm^2]:
1.te Eigenform: 	 5.637074e+02
2.te Eigenform: 	 1.862926e+02
 
Ersatzmassenfaktoren [-]:
1.te Eigenform: 	 7.516098e-01
2.te Eigenform: 	 2.483902e-01
 
Erdbebenersatzlasten (spaltenweise fr jede Eigenform) [N]:
1.ter Freiheitsgrad: 	 1.715269e+02 	 3.115780e+02
2.ter Freiheitsgrad: 	 2.619836e+02 	 -1.019987e+02
 
Verschiebungen, spaltenweise fr jede Eigenform [m]:
1.ter Freiheitsgrad: 	 2.975349e-03 	 2.036920e-04
2.ter Freiheitsgrad: 	 9.088869e-03 	 -1.333620e-04
 
Verschiebungen - SRSS berlagerung [m]:
1.ter Freiheitsgrad: 	 2.982313e-03
2.ter Freiheitsgrad: 	 9.089847e-03
 
Verschiebungen - CQC berlagerung [m]:
1.ter Freiheitsgrad: 	 2.982760e-03
2.ter Freiheitsgrad: 	 9.089554e-03
 
Biegemoment:
Strukturkoordinate [m] 	 Biegemoment 1. Eigenform [Nm] 	 Biegemoment 2. Eigenform [Nm] 	 Biegemoment - SRSS [Nm] 	 Biegemoment - CQC [Nm]
 0 	 4.172964e+03 	 6.454829e+02 	 4.222591e+03 	 4.223994e+03
6 	 1.571902e+03 	 -6.119924e+02 	 1.686834e+03 	 1.685579e+03
12 	 0 	 0 	 0 	 0
 
Querkraft:
Strukturkoordinate [m] 	 Querkraft 1. Eigenform [N] 	 Querkraft 2. Eigenform [N] 	 Querkraft - SRSS [N] 	 Querkraft - CQC [N]
 0 	 4.335105e+02 	 2.095792e+02 	 4.815130e+02 	 4.819278e+02
6 	 4.335105e+02 	 2.095792e+02 	 4.815130e+02 	 4.819278e+02
6 	 2.619836e+02 	 -1.019987e+02 	 2.811390e+02 	 2.809299e+02
12 	 2.619836e+02 	 -1.019987e+02 	 2.811390e+02 	 2.809299e+02
 
Antwortspektrum:
Eigenschwingzeit [s] 	 Spektralbeschleunigung [m/s^2]
0 	 9.000000e-01
2.400000e-03 	 9.054000e-01
4.800000e-03 	 9.108000e-01
7.200000e-03 	 9.162000e-01
9.600000e-03 	 9.216000e-01
1.200000e-02 	 9.270000e-01
1.440000e-02 	 9.324000e-01
1.680000e-02 	 9.378000e-01
1.920000e-02 	 9.432000e-01
2.160000e-02 	 9.486000e-01
2.400000e-02 	 9.540000e-01
2.640000e-02 	 9.594000e-01
2.880000e-02 	 9.648000e-01
3.120000e-02 	 9.702000e-01
3.360000e-02 	 9.756000e-01
3.600000e-02 	 9.810000e-01
3.840000e-02 	 9.864000e-01
4.080000e-02 	 9.918000e-01
4.320000e-02 	 9.972000e-01
4.560000e-02 	 1.002600e+00
4.800000e-02 	 1.008000e+00
5.040000e-02 	 1.013400e+00
5.280000e-02 	 1.018800e+00
5.520000e-02 	 1.024200e+00
5.760000e-02 	 1.029600e+00
6.000000e-02 	 1.035000e+00
6.240000e-02 	 1.040400e+00
6.480000e-02 	 1.045800e+00
6.720000e-02 	 1.051200e+00
6.960000e-02 	 1.056600e+00
7.200000e-02 	 1.062000e+00
7.440000e-02 	 1.067400e+00
7.680000e-02 	 1.072800e+00
7.920000e-02 	 1.078200e+00
8.160000e-02 	 1.083600e+00
8.400000e-02 	 1.089000e+00
8.640000e-02 	 1.094400e+00
8.880000e-02 	 1.099800e+00
9.120000e-02 	 1.105200e+00
9.360000e-02 	 1.110600e+00
9.600000e-02 	 1.116000e+00
9.840000e-02 	 1.121400e+00
1.008000e-01 	 1.125000e+00
1.032000e-01 	 1.125000e+00
1.056000e-01 	 1.125000e+00
1.080000e-01 	 1.125000e+00
1.104000e-01 	 1.125000e+00
1.128000e-01 	 1.125000e+00
1.152000e-01 	 1.125000e+00
1.176000e-01 	 1.125000e+00
1.200000e-01 	 1.125000e+00
1.224000e-01 	 1.125000e+00
1.248000e-01 	 1.125000e+00
1.272000e-01 	 1.125000e+00
1.296000e-01 	 1.125000e+00
1.320000e-01 	 1.125000e+00
1.344000e-01 	 1.125000e+00
1.368000e-01 	 1.125000e+00
1.392000e-01 	 1.125000e+00
1.416000e-01 	 1.125000e+00
1.440000e-01 	 1.125000e+00
1.464000e-01 	 1.125000e+00
1.488000e-01 	 1.125000e+00
1.512000e-01 	 1.125000e+00
1.536000e-01 	 1.125000e+00
1.560000e-01 	 1.125000e+00
1.584000e-01 	 1.125000e+00
1.608000e-01 	 1.125000e+00
1.632000e-01 	 1.125000e+00
1.656000e-01 	 1.125000e+00
1.680000e-01 	 1.125000e+00
1.704000e-01 	 1.125000e+00
1.728000e-01 	 1.125000e+00
1.752000e-01 	 1.125000e+00
1.776000e-01 	 1.125000e+00
1.800000e-01 	 1.125000e+00
1.824000e-01 	 1.125000e+00
1.848000e-01 	 1.125000e+00
1.872000e-01 	 1.125000e+00
1.896000e-01 	 1.125000e+00
1.920000e-01 	 1.125000e+00
1.944000e-01 	 1.125000e+00
1.968000e-01 	 1.125000e+00
1.992000e-01 	 1.125000e+00
2.016000e-01 	 1.125000e+00
2.040000e-01 	 1.125000e+00
2.064000e-01 	 1.125000e+00
2.088000e-01 	 1.125000e+00
2.112000e-01 	 1.125000e+00
2.136000e-01 	 1.125000e+00
2.160000e-01 	 1.125000e+00
2.184000e-01 	 1.125000e+00
2.208000e-01 	 1.125000e+00
2.232000e-01 	 1.125000e+00
2.256000e-01 	 1.125000e+00
2.280000e-01 	 1.125000e+00
2.304000e-01 	 1.125000e+00
2.328000e-01 	 1.125000e+00
2.352000e-01 	 1.125000e+00
2.376000e-01 	 1.125000e+00
2.400000e-01 	 1.125000e+00
2.424000e-01 	 1.125000e+00
2.448000e-01 	 1.125000e+00
2.472000e-01 	 1.125000e+00
2.496000e-01 	 1.125000e+00
2.520000e-01 	 1.125000e+00
2.544000e-01 	 1.125000e+00
2.568000e-01 	 1.125000e+00
2.592000e-01 	 1.125000e+00
2.616000e-01 	 1.125000e+00
2.640000e-01 	 1.125000e+00
2.664000e-01 	 1.125000e+00
2.688000e-01 	 1.125000e+00
2.712000e-01 	 1.125000e+00
2.736000e-01 	 1.125000e+00
2.760000e-01 	 1.125000e+00
2.784000e-01 	 1.125000e+00
2.808000e-01 	 1.125000e+00
2.832000e-01 	 1.125000e+00
2.856000e-01 	 1.125000e+00
2.880000e-01 	 1.125000e+00
2.904000e-01 	 1.125000e+00
2.928000e-01 	 1.125000e+00
2.952000e-01 	 1.125000e+00
2.976000e-01 	 1.125000e+00
3.000000e-01 	 1.125000e+00
3.024000e-01 	 1.125000e+00
3.048000e-01 	 1.125000e+00
3.072000e-01 	 1.125000e+00
3.096000e-01 	 1.125000e+00
3.120000e-01 	 1.125000e+00
3.144000e-01 	 1.125000e+00
3.168000e-01 	 1.125000e+00
3.192000e-01 	 1.125000e+00
3.216000e-01 	 1.125000e+00
3.240000e-01 	 1.125000e+00
3.264000e-01 	 1.125000e+00
3.288000e-01 	 1.125000e+00
3.312000e-01 	 1.125000e+00
3.336000e-01 	 1.125000e+00
3.360000e-01 	 1.125000e+00
3.384000e-01 	 1.125000e+00
3.408000e-01 	 1.125000e+00
3.432000e-01 	 1.125000e+00
3.456000e-01 	 1.125000e+00
3.480000e-01 	 1.125000e+00
3.504000e-01 	 1.125000e+00
3.528000e-01 	 1.125000e+00
3.552000e-01 	 1.125000e+00
3.576000e-01 	 1.125000e+00
3.600000e-01 	 1.125000e+00
3.624000e-01 	 1.125000e+00
3.648000e-01 	 1.125000e+00
3.672000e-01 	 1.125000e+00
3.696000e-01 	 1.125000e+00
3.720000e-01 	 1.125000e+00
3.744000e-01 	 1.125000e+00
3.768000e-01 	 1.125000e+00
3.792000e-01 	 1.125000e+00
3.816000e-01 	 1.125000e+00
3.840000e-01 	 1.125000e+00
3.864000e-01 	 1.125000e+00
3.888000e-01 	 1.125000e+00
3.912000e-01 	 1.125000e+00
3.936000e-01 	 1.125000e+00
3.960000e-01 	 1.125000e+00
3.984000e-01 	 1.125000e+00
4.008000e-01 	 1.122754e+00
4.032000e-01 	 1.116071e+00
4.056000e-01 	 1.109467e+00
4.080000e-01 	 1.102941e+00
4.104000e-01 	 1.096491e+00
4.128000e-01 	 1.090116e+00
4.152000e-01 	 1.083815e+00
4.176000e-01 	 1.077586e+00
4.200000e-01 	 1.071429e+00
4.224000e-01 	 1.065341e+00
4.248000e-01 	 1.059322e+00
4.272000e-01 	 1.053371e+00
4.296000e-01 	 1.047486e+00
4.320000e-01 	 1.041667e+00
4.344000e-01 	 1.035912e+00
4.368000e-01 	 1.030220e+00
4.392000e-01 	 1.024590e+00
4.416000e-01 	 1.019022e+00
4.440000e-01 	 1.013514e+00
4.464000e-01 	 1.008065e+00
4.488000e-01 	 1.002674e+00
4.512000e-01 	 9.973404e-01
4.536000e-01 	 9.920635e-01
4.560000e-01 	 9.868421e-01
4.584000e-01 	 9.816754e-01
4.608000e-01 	 9.765625e-01
4.632000e-01 	 9.715026e-01
4.656000e-01 	 9.664948e-01
4.680000e-01 	 9.615385e-01
4.704000e-01 	 9.566327e-01
4.728000e-01 	 9.517767e-01
4.752000e-01 	 9.469697e-01
4.776000e-01 	 9.422111e-01
4.800000e-01 	 9.375000e-01
4.824000e-01 	 9.328358e-01
4.848000e-01 	 9.282178e-01
4.872000e-01 	 9.236453e-01
4.896000e-01 	 9.191176e-01
4.920000e-01 	 9.146341e-01
4.944000e-01 	 9.101942e-01
4.968000e-01 	 9.057971e-01
4.992000e-01 	 9.014423e-01
5.016000e-01 	 8.971292e-01
5.040000e-01 	 8.928571e-01
5.064000e-01 	 8.886256e-01
5.088000e-01 	 8.844340e-01
5.112000e-01 	 8.802817e-01
5.136000e-01 	 8.761682e-01
5.160000e-01 	 8.720930e-01
5.184000e-01 	 8.680556e-01
5.208000e-01 	 8.640553e-01
5.232000e-01 	 8.600917e-01
5.256000e-01 	 8.561644e-01
5.280000e-01 	 8.522727e-01
5.304000e-01 	 8.484163e-01
5.328000e-01 	 8.445946e-01
5.352000e-01 	 8.408072e-01
5.376000e-01 	 8.370536e-01
5.400000e-01 	 8.333333e-01
5.424000e-01 	 8.296460e-01
5.448000e-01 	 8.259912e-01
5.472000e-01 	 8.223684e-01
5.496000e-01 	 8.187773e-01
5.520000e-01 	 8.152174e-01
5.544000e-01 	 8.116883e-01
5.568000e-01 	 8.081897e-01
5.592000e-01 	 8.047210e-01
5.616000e-01 	 8.012821e-01
5.640000e-01 	 7.978723e-01
5.664000e-01 	 7.944915e-01
5.688000e-01 	 7.911392e-01
5.712000e-01 	 7.878151e-01
5.736000e-01 	 7.845188e-01
5.760000e-01 	 7.812500e-01
5.784000e-01 	 7.780083e-01
5.808000e-01 	 7.747934e-01
5.832000e-01 	 7.716049e-01
5.856000e-01 	 7.684426e-01
5.880000e-01 	 7.653061e-01
5.904000e-01 	 7.621951e-01
5.928000e-01 	 7.591093e-01
5.952000e-01 	 7.560484e-01
5.976000e-01 	 7.530120e-01
6.000000e-01 	 7.500000e-01
6.024000e-01 	 7.470120e-01
6.048000e-01 	 7.440476e-01
6.072000e-01 	 7.411067e-01
6.096000e-01 	 7.381890e-01
6.120000e-01 	 7.352941e-01
6.144000e-01 	 7.324219e-01
6.168000e-01 	 7.295720e-01
6.192000e-01 	 7.267442e-01
6.216000e-01 	 7.239382e-01
6.240000e-01 	 7.211538e-01
6.264000e-01 	 7.183908e-01
6.288000e-01 	 7.156489e-01
6.312000e-01 	 7.129278e-01
6.336000e-01 	 7.102273e-01
6.360000e-01 	 7.075472e-01
6.384000e-01 	 7.048872e-01
6.408000e-01 	 7.022472e-01
6.432000e-01 	 6.996269e-01
6.456000e-01 	 6.970260e-01
6.480000e-01 	 6.944444e-01
6.504000e-01 	 6.918819e-01
6.528000e-01 	 6.893382e-01
6.552000e-01 	 6.868132e-01
6.576000e-01 	 6.843066e-01
6.600000e-01 	 6.818182e-01
6.624000e-01 	 6.793478e-01
6.648000e-01 	 6.768953e-01
6.672000e-01 	 6.744604e-01
6.696000e-01 	 6.720430e-01
6.720000e-01 	 6.696429e-01
6.744000e-01 	 6.672598e-01
6.768000e-01 	 6.648936e-01
6.792000e-01 	 6.625442e-01
6.816000e-01 	 6.602113e-01
6.840000e-01 	 6.578947e-01
6.864000e-01 	 6.555944e-01
6.888000e-01 	 6.533101e-01
6.912000e-01 	 6.510417e-01
6.936000e-01 	 6.487889e-01
6.960000e-01 	 6.465517e-01
6.984000e-01 	 6.443299e-01
7.008000e-01 	 6.421233e-01
7.032000e-01 	 6.399317e-01
7.056000e-01 	 6.377551e-01
7.080000e-01 	 6.355932e-01
7.104000e-01 	 6.334459e-01
7.128000e-01 	 6.313131e-01
7.152000e-01 	 6.291946e-01
7.176000e-01 	 6.270903e-01
7.200000e-01 	 6.250000e-01
7.224000e-01 	 6.229236e-01
7.248000e-01 	 6.208609e-01
7.272000e-01 	 6.188119e-01
7.296000e-01 	 6.167763e-01
7.320000e-01 	 6.147541e-01
7.344000e-01 	 6.127451e-01
7.368000e-01 	 6.107492e-01
7.392000e-01 	 6.087662e-01
7.416000e-01 	 6.067961e-01
7.440000e-01 	 6.048387e-01
7.464000e-01 	 6.028939e-01
7.488000e-01 	 6.009615e-01
7.512000e-01 	 5.990415e-01
7.536000e-01 	 5.971338e-01
7.560000e-01 	 5.952381e-01
7.584000e-01 	 5.933544e-01
7.608000e-01 	 5.914827e-01
7.632000e-01 	 5.896226e-01
7.656000e-01 	 5.877743e-01
7.680000e-01 	 5.859375e-01
7.704000e-01 	 5.841122e-01
7.728000e-01 	 5.822981e-01
7.752000e-01 	 5.804954e-01
7.776000e-01 	 5.787037e-01
7.800000e-01 	 5.769231e-01
7.824000e-01 	 5.751534e-01
7.848000e-01 	 5.733945e-01
7.872000e-01 	 5.716463e-01
7.896000e-01 	 5.699088e-01
7.920000e-01 	 5.681818e-01
7.944000e-01 	 5.664653e-01
7.968000e-01 	 5.647590e-01
7.992000e-01 	 5.630631e-01
8.016000e-01 	 5.613772e-01
8.040000e-01 	 5.597015e-01
8.064000e-01 	 5.580357e-01
8.088000e-01 	 5.563798e-01
8.112000e-01 	 5.547337e-01
8.136000e-01 	 5.530973e-01
8.160000e-01 	 5.514706e-01
8.184000e-01 	 5.498534e-01
8.208000e-01 	 5.482456e-01
8.232000e-01 	 5.466472e-01
8.256000e-01 	 5.450581e-01
8.280000e-01 	 5.434783e-01
8.304000e-01 	 5.419075e-01
8.328000e-01 	 5.403458e-01
8.352000e-01 	 5.387931e-01
8.376000e-01 	 5.372493e-01
8.400000e-01 	 5.357143e-01
8.424000e-01 	 5.341880e-01
8.448000e-01 	 5.326705e-01
8.472000e-01 	 5.311615e-01
8.496000e-01 	 5.296610e-01
8.520000e-01 	 5.281690e-01
8.544000e-01 	 5.266854e-01
8.568000e-01 	 5.252101e-01
8.592000e-01 	 5.237430e-01
8.616000e-01 	 5.222841e-01
8.640000e-01 	 5.208333e-01
8.664000e-01 	 5.193906e-01
8.688000e-01 	 5.179558e-01
8.712000e-01 	 5.165289e-01
8.736000e-01 	 5.151099e-01
8.760000e-01 	 5.136986e-01
8.784000e-01 	 5.122951e-01
8.808000e-01 	 5.108992e-01
8.832000e-01 	 5.095109e-01
8.856000e-01 	 5.081301e-01
8.880000e-01 	 5.067568e-01
8.904000e-01 	 5.053908e-01
8.928000e-01 	 5.040323e-01
8.952000e-01 	 5.026810e-01
8.976000e-01 	 5.013369e-01
9.000000e-01 	 5.000000e-01
9.024000e-01 	 4.986702e-01
9.048000e-01 	 4.973475e-01
9.072000e-01 	 4.960317e-01
9.096000e-01 	 4.947230e-01
9.120000e-01 	 4.934211e-01
9.144000e-01 	 4.921260e-01
9.168000e-01 	 4.908377e-01
9.192000e-01 	 4.895561e-01
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