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Lineær dynamisk analyse

Denne analyse anvender dataene i tutorial/12_dynamic_beam.

Analyseobjekt

Analyseobjektet er en indspændt bjælke. Geometrien vises i figur 4.12.1, og meshdataene vises i figur 4.12.2.

Punkt Beskrivelse Bemærkninger Reference
Analysetype Lineær dynamisk analyse !SOLUTION,TYPE=DYNAMIC !DYNAMIC,TYPE=LINEAR
Antal knuder 525
Antal elementer 240
Elementtype 10-knuders kvadratisk tetraederelement !ELEMENT,TYPE=342
Materialenavn M1 !MATERIAL,NAME=M1
Randbetingelser Fastholdelse, koncentreret last !CLOAD
Matrixløser CG/SSOR !SOLVER,METHOD=CG,PRECOND=1

Formen af den indspændte bjælke

Fig. 4.12.1: Formen af den indspændte bjælke

Meshdata for den indspændte bjælke

Fig. 4.12.2: Meshdata for den indspændte bjælke

Analyseindhold

Der udføres en lineær dynamisk analyse, hvor forskydningen på den fastholdte flade vist i figur 4.12.1 begrænses, og en koncentreret last påføres lastknuderne. Analysestyringsdataene vises nedenfor.

Analysestyringsdata 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 Condition
!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

Analyseprocedure

Kør FrontISTR-kommandoen fistr1.

cd FrontISTR/tutorial/12_dynamic_beam
fistr1 -t 4

(Køres med 4 tråde.)

Analyseresultater

Figur 4.12.3 viser en tidsserie for forskydningen af en overvågningsknude (lastknude 3121), som er angivet i analysestyringsdataene, oprettet med Microsoft Excel. En del af outputfilen med overvågningsknudens forskydning (dyna_disp_3121.txt) vises nedenfor som numeriske data for analyseresultaterne.

Tidsserie for forskydning af overvågningsknuden

Fig. 4.12.3: Tidsserie for forskydning af overvågningsknuden

Forskydning af overvågningsknude 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 over analyseresultater 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