Linear Dynamic Analysis
Linear Dynamic Analysis
This analysis uses the data of tutorial/12_dynamic_beam.
Analysis target
The analysis target is a cantilevered beam, and the geometry is shown in Figure 4.12.1 and the mesh data is shown in Figure 4.12.2.
| Item | Description | Notes | Reference |
|---|---|---|---|
| Type of analysis | Linear dynamic analysis | !SOLUTION,TYPE=DYNAMIC !DYNAMIC,TYPE=LINEAR | |
| Number of nodes | 525 | ||
| Number of elements | 240 | ||
| Element type | Ten node tetrahedral quadratic element | !ELEMENT,TYPE=342 | |
| Material name | M1 | ||
| Boundary conditions | Restraint,Concentrated force | !CLOAD | |
| Matrix solution | CG/SSOR | !SOLVER,METHOD=CG,PRECOND=1 |
Fig. 4.12.1: Shape of the cantilever
Fig. 4.12.2: Mesh data of the cantilever
Analysis contents
A linear dynamic analysis is performed after the displacement of the restraining surface shown in Figure 4.12.1 is restrained and a concentrated load is applied to the load nodes. The analytical control data are shown below.
Analysis control data beam.cnt.
# Control File for FISTR
## Analysis Control
!VERSION
3
!WRITE,LOG,FREQUENCY=5000
!WRITE,RESULT,FREQUENCY=5000
!SOLUTION, TYPE=DYNAMIC
!DYNAMIC, TYPE=LINEAR
11 , 1
0.0, 1.0, 500000, 1.0000e-8
0.5, 0.25
1, 1, 0.0, 0.0
100000, 3121, 500
1, 1, 1, 1, 1, 1
## Solver Control
### Boundary Conditon
!BOUNDARY, AMP=AMP1
FIX, 1, 3, 0.0
!CLOAD, AMP=AMP1
CL1, 3, -1.0
### Material
# define in mesh file
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=NO,TIMELOG=NO
10000, 1
1.0e-06, 1.0, 0.0
!END
Analysis procedure
Execute the FrontISTR execution command fistr1.
$ cd FrontISTR/tutorial/12_dynamic_beam
$ fistr1 -t 4
(Runs in 4 threads.)
Analysis results
Figure 4.12.3 shows a time series of the displacement of a monitoring node (load node, 3121) specified in the analysis control data, created by Microsoft Excel. A part of the monitoring node displacement output file (dyna_disp_3121.txt) is shown below as numerical data for the analysis results.
Fig. 4.12.3: Time-series displacement of monitoring nodes
Displacement of monitoring nodes dyna_disp_3121.txt.
0 0.0000E+000 3121 0.0000E+000 0.0000E+000 0.0000E+000
500 5.0000E-006 3121 5.3301E-005 -2.6682E-005 -1.5646E-002
1000 1.0000E-005 3121 4.0790E-005 -1.0696E-006 -4.4118E-002
1500 1.5000E-005 3121 9.1017E-005 5.7542E-005 -8.1017E-002
2000 2.0000E-005 3121 1.8944E-005 5.6499E-005 -1.2358E-001
2500 2.5000E-005 3121 3.4535E-005 6.1147E-005 -1.7787E-001
3000 3.0000E-005 3121 3.0248E-005 1.6211E-004 -2.2844E-001
3500 3.5000E-005 3121 4.2434E-005 1.1706E-004 -2.7330E-001
4000 4.0000E-005 3121 -2.0130E-005 1.2298E-004 -3.2436E-001
4500 4.5000E-005 3121 4.1976E-005 -4.2753E-005 -3.8902E-001
5000 5.0000E-005 3121 5.6526E-005 1.2043E-004 -4.6494E-001
5500 5.5000E-005 3121 1.9195E-005 8.8901E-006 -5.4673E-001
6000 6.0000E-005 3121 3.9722E-005 -8.0492E-005 -6.4665E-001
6500 6.5000E-005 3121 9.0688E-005 -1.9603E-004 -7.5697E-001
7000 7.0000E-005 3121 3.8175E-005 1.3406E-004 -8.6961E-001
7500 7.5000E-005 3121 -2.1776E-005 2.9617E-004 -9.6952E-001
8000 8.0000E-005 3121 -1.6732E-005 2.0223E-004 -1.0672E+000
8500 8.5000E-005 3121 1.0129E-004 4.9717E-004 -1.1583E+000
9000 9.0000E-005 3121 4.4797E-005 6.6073E-004 -1.2421E+000
9500 9.5000E-005 3121 -5.5023E-007 7.2865E-004 -1.3154E+000
10000 1.0000E-004 3121 4.6793E-005 3.6134E-004 -1.3947E+000
Log file 0.log.
fstr_setup: OK
#### Result step= 5000
##### Local Summary @Node :Max/IdMax/Min/IdMin####
//U1 3.5119E-02 5021 -3.5178E-02 1221
//U2 1.1456E-03 1203 -1.1672E-03 1003
//U3 0.0000E+00 1001 -4.6494E-01 3121
//V1 1.2518E+03 1001249 -1.4015E+03 1000542
//V2 3.8803E+02 5021 -3.3289E+02 1001074
//V3 4.7101E+01 1000007 -1.5435E+04 1001066
//A1 6.7723E+09 5021 -4.1214E+09 5011
//A2 4.9616E+09 3219 -1.2304E+10 1221
//A3 9.4377E+09 1221 -5.7155E+09 5121
//E11 8.0049E-03 5001 -7.9582E-03 1000367
//E22 2.8641E-03 1203 -2.2671E-03 5103
//E33 2.8794E-03 1203 -2.6589E-03 1001105
//E12 2.6224E-03 1201 -2.3782E-03 1001
//E23 8.3475E-04 1000713 -1.0763E-03 1000353
//E31 5.8002E-04 1000750 -2.3236E-03 1000368
//S11 3.7805E+01 1000738 -4.1247E+01 1201
//S22 1.4126E+01 1000738 -1.7677E+01 1201
//S33 9.6734E+00 1001098 -1.7677E+01 1201
//S12 4.0344E+00 1201 -3.6588E+00 1001
//S23 1.2842E+00 1000713 -1.6558E+00 1000353
//S31 8.9234E-01 1000750 -3.5747E+00 1000368
//SMS 3.2995E+01 1203 1.8529E-01 1000240
##### Local Summary @Element :Max/IdMax/Min/IdMin####
//E11 5.9346E-03 126 -5.9635E-03 61
//E22 1.6102E-03 68 -1.6304E-03 125
//E33 1.8989E-03 61 -1.9798E-03 126
//E12 8.3076E-04 62 -7.8339E-04 3
//E23 5.7501E-04 119 -6.2415E-04 178
//E31 2.5209E-04 35 -1.3096E-03 2
//S11 2.4565E+01 126 -2.6193E+01 2
//S22 5.2809E+00 183 -5.7364E+00 2
//S33 5.5451E+00 183 -5.7987E+00 2
//S12 1.2781E+00 62 -1.2052E+00 3
//S23 8.8463E-01 119 -9.6023E-01 178
//S31 3.8783E-01 35 -2.0148E+00 2
//SMS 2.3676E+01 61 1.7835E+00 179
##### Global Summary @Node :Max/IdMax/Min/IdMin####
//U1 3.5119E-02 5021 -3.5178E-02 1221
//U2 1.1456E-03 1203 -1.1672E-03 1003
//U3 0.0000E+00 1001 -4.6494E-01 3121
//V1 1.2518E+03 1001249 -1.4015E+03 1000542
//V2 3.8803E+02 5021 -3.3289E+02 1001074
//V3 4.7101E+01 1000007 -1.5435E+04 1001066
//A1 6.7723E+09 5021 -4.1214E+09 5011
//A2 4.9616E+09 3219 -1.2304E+10 1221
//A3 9.4377E+09 1221 -5.7155E+09 5121
//E11 8.0049E-03 5001 -7.9582E-03 1000367
//E22 2.8641E-03 1203 -2.2671E-03 5103
//E33 2.8794E-03 1203 -2.6589E-03 1001105
//E12 2.6224E-03 1201 -2.3782E-03 1001
//E23 8.3475E-04 1000713 -1.0763E-03 1000353
//E31 5.8002E-04 1000750 -2.3236E-03 1000368
//S11 3.7805E+01 1000738 -4.1247E+01 1201
//S22 1.4126E+01 1000738 -1.7677E+01 1201
//S33 9.6734E+00 1001098 -1.7677E+01 1201
//S12 4.0344E+00 1201 -3.6588E+00 1001
//S23 1.2842E+00 1000713 -1.6558E+00 1000353
//S31 8.9234E-01 1000750 -3.5747E+00 1000368
//SMS 3.2995E+01 1203 1.8529E-01 1000240
##### Global Summary @Element :Max/IdMax/Min/IdMin####
//E11 5.9346E-03 126 -5.9635E-03 61
//E22 1.6102E-03 68 -1.6304E-03 125
//E33 1.8989E-03 61 -1.9798E-03 126
//E12 8.3076E-04 62 -7.8339E-04 3
//E23 5.7501E-04 119 -6.2415E-04 178
//E31 2.5209E-04 35 -1.3096E-03 2
//S11 2.4565E+01 126 -2.6193E+01 2
//S22 5.2809E+00 183 -5.7364E+00 2
//S33 5.5451E+00 183 -5.7987E+00 2
//S12 1.2781E+00 62 -1.2052E+00 3
//S23 8.8463E-01 119 -9.6023E-01 178
//S31 3.8783E-01 35 -2.0148E+00 2
//SMS 2.3676E+01 61 1.7835E+00 179
...
#### Result step=500000
##### Local Summary @Node :Max/IdMax/Min/IdMin####
//U1 5.2758E-02 5221 -5.2989E-02 1021
//U2 1.0426E-03 1000750 -7.2090E-02 1021
//U3 0.0000E+00 1001 -6.5930E-01 3121
//V1 1.6455E+03 5217 -1.6058E+03 1019
//V2 8.7881E+02 1000132 -2.2448E+03 1221
//V3 1.9455E+02 1000003 -1.7874E+04 1221
//A1 5.7327E+09 5221 -4.0019E+09 1203
//A2 7.0089E+09 3221 -4.3280E+09 1000713
//A3 4.9140E+09 1211 -8.4702E+09 5021
//E11 1.0808E-02 1001104 -1.0904E-02 1003
//E22 3.4008E-03 1203 -3.2574E-03 5203
//E33 3.6321E-03 1103 -3.5530E-03 1001105
//E12 3.4760E-03 1201 -2.9256E-03 1001
//E23 9.1779E-04 1000017 -1.3462E-03 1001
//E31 6.4324E-04 1000750 -2.5756E-03 1101
//S11 5.0236E+01 5201 -5.2624E+01 1001
//S22 1.8815E+01 1001098 -2.2485E+01 1000008
//S33 1.2848E+01 1001098 -2.2485E+01 1000008
//S12 5.3477E+00 1201 -4.5009E+00 1001
//S23 1.4120E+00 1000017 -2.0711E+00 1001
//S31 9.8961E-01 1000750 -3.9625E+00 1101
//SMS 4.4276E+01 1003 6.5308E-01 1000690
##### Local Summary @Element :Max/IdMax/Min/IdMin####
//E11 8.0789E-03 186 -8.0188E-03 1001
//E22 2.1847E-03 8 -2.1148E-03 192
//E33 2.5029E-03 1001 -2.6704E-03 186
//E12 1.1765E-03 62 -1.0144E-03 3
//E23 4.9965E-04 6 -5.1495E-04 66
//E31 -1.2336E-05 125 -1.4721E-03 2
//S11 3.3432E+01 186 -3.4438E+01 2
//S22 7.0191E+00 183 -7.4671E+00 2
//S33 7.6014E+00 183 -7.7370E+00 2
//S12 1.8099E+00 62 -1.5605E+00 3
//S23 7.6870E-01 6 -7.9223E-01 66
//S31 -1.8979E-02 125 -2.2647E+00 2
//SMS 3.1742E+01 186 7.0883E-01 114
##### Global Summary @Node :Max/IdMax/Min/IdMin####
//U1 5.2758E-02 5221 -5.2989E-02 1021
//U2 1.0426E-03 1000750 -7.2090E-02 1021
//U3 0.0000E+00 1001 -6.5930E-01 3121
//V1 1.6455E+03 5217 -1.6058E+03 1019
//V2 8.7881E+02 1000132 -2.2448E+03 1221
//V3 1.9455E+02 1000003 -1.7874E+04 1221
//A1 5.7327E+09 5221 -4.0019E+09 1203
//A2 7.0089E+09 3221 -4.3280E+09 1000713
//A3 4.9140E+09 1211 -8.4702E+09 5021
//E11 1.0808E-02 1001104 -1.0904E-02 1003
//E22 3.4008E-03 1203 -3.2574E-03 5203
//E33 3.6321E-03 1103 -3.5530E-03 1001105
//E12 3.4760E-03 1201 -2.9256E-03 1001
//E23 9.1779E-04 1000017 -1.3462E-03 1001
//E31 6.4324E-04 1000750 -2.5756E-03 1101
//S11 5.0236E+01 5201 -5.2624E+01 1001
//S22 1.8815E+01 1001098 -2.2485E+01 1000008
//S33 1.2848E+01 1001098 -2.2485E+01 1000008
//S12 5.3477E+00 1201 -4.5009E+00 1001
//S23 1.4120E+00 1000017 -2.0711E+00 1001
//S31 9.8961E-01 1000750 -3.9625E+00 1101
//SMS 4.4276E+01 1003 6.5308E-01 1000690
##### Global Summary @Element :Max/IdMax/Min/IdMin####
//E11 8.0789E-03 186 -8.0188E-03 1001
//E22 2.1847E-03 8 -2.1148E-03 192
//E33 2.5029E-03 1001 -2.6704E-03 186
//E12 1.1765E-03 62 -1.0144E-03 3
//E23 4.9965E-04 6 -5.1495E-04 66
//E31 -1.2336E-05 125 -1.4721E-03 2
//S11 3.3432E+01 186 -3.4438E+01 2
//S22 7.0191E+00 183 -7.4671E+00 2
//S33 7.6014E+00 183 -7.7370E+00 2
//S12 1.8099E+00 62 -1.5605E+00 3
//S23 7.6870E-01 6 -7.9223E-01 66
//S31 -1.8979E-02 125 -2.2647E+00 2
//SMS 3.1742E+01 186 7.0883E-01 114