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Nelinearna dinamička analiza

Za ovu analizu koriste se podaci iz tutorial/13_dynamic_beam_nonlinear.

Predmet analize

Predmet analize ista je konzolna greda kao u prethodnom odjeljku Linearna dinamička analiza.

Stavka Sadržaj Napomene Referenca
Vrsta analize Nelinearna dinamička analiza !SOLUTION,TYPE=DYNAMIC !DYNAMIC,TYPE=NONLINEAR
Broj čvorova 525
Broj elemenata 240
Tip elementa 10-čvorni tetraedarski element 2. reda !ELEMENT,TYPE=342
Naziv materijala M1 !MATERIAL,NAME=M1
Rubni uvjeti Ograničenje, koncentrirano opterećenje !CLOAD
Matrični rješavač CG/SSOR !SOLVER,METHOD=CG,PRECOND=1

Sadržaj analize

Provodi se nelinearna dinamička analiza nakon ograničavanja pomaka učvršćene plohe prikazane na slici 4.12.1 i primjene koncentriranog opterećenja na čvorove opterećenja. Upravljački podaci analize prikazani su u nastavku.

Oblik konzolne grede

Slika 4.12.1 Oblik konzolne grede

Upravljački podaci analize beam.cnt

#  Control File for FISTR
## Analysis Control
!VERSION
 3
!WRITE,RESULT,FREQUENCY=100
!SOLUTION, TYPE=DYNAMIC
!DYNAMIC, TYPE=NONLINEAR
 1 , 1
 0.0, 0.1, 100000, 1.0000e-8
 0.5, 0.25
 1, 1, 0.0, 0.0
 1000, 3121, 100
 1, 1, 1, 1, 1, 1
## Solver Control
### Boundary Condition
!BOUNDARY, GRPID=1, AMP=AMP1
 FIX, 1, 3, 0.0
!CLOAD, GRPID=1, AMP=AMP1
 CL1,    3,    -1.0
### STEP
!STEP, CONVERG=1.0e-3
 BOUNDARY, 1
 LOAD,     1
### Material
!DENSITY
 1.0e-8
!HYPERELASTIC, TYPE=NEOHOOKE
 1000.0, 0.00005
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=NO,TIMELOG=NO
 10000, 1
 1.0e-06, 1.0, 0.0
!END

Postupak analize

Pokrenite izvršnu naredbu FrontISTR-a fistr1.

cd FrontISTR/tutorial/13_dynamic_beam_nonlinear
fistr1 -t 4

(Izvođenje s 4 dretve)

Rezultati analize

Vremenski niz pomaka nadzornog čvora (čvor opterećenja, broj čvora 3121) navedenog u upravljačkim podacima analize izrađuje se u Microsoft Excelu i prikazuje na slici 4.13.1. Kao numerički podaci rezultata analize u nastavku je prikazan dio izlazne datoteke pomaka nadzornog čvora (dyna_disp_3121.txt).

Vremenski niz pomaka nadzornog čvora

Slika 4.13.1 Vremenski niz pomaka nadzornog čvora

Pomak nadzornog čvora dyna_disp_3121.txt

         0  0.0000E+000      3121  0.0000E+000  0.0000E+000  0.0000E+000
       100  1.0000E-006      3121  7.6885E-005 -7.3733E-005 -6.0988E-004
       200  2.0000E-006      3121  3.3089E-005 -7.5879E-006 -8.2481E-004
       300  3.0000E-006      3121  8.9272E-005 -5.6180E-005 -1.2550E-003
       400  4.0000E-006      3121  5.8434E-005 -2.9113E-005 -1.9326E-003
       500  5.0000E-006      3121  3.3598E-005 -3.7069E-005 -2.6955E-003
       600  6.0000E-006      3121  9.2438E-005 -2.9415E-005 -3.4297E-003
       700  7.0000E-006      3121  4.4742E-005 -1.9064E-005 -4.2128E-003
       800  8.0000E-006      3121  4.2702E-005 -3.7315E-005 -5.2563E-003
       900  9.0000E-006      3121  7.9468E-005  4.8283E-006 -6.1239E-003
      1000  1.0000E-005      3121  2.5902E-005 -3.1393E-005 -7.1463E-003
      1100  1.1000E-005      3121  6.9365E-005 -1.1486E-005 -8.3515E-003

Zapisnik rezultata analize 0.log

 fstr_setup: OK
#### Result step=     1
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    2.7619E-10      3121 -1.4312E-10   1001067
 //U2    2.6490E-10   1000353 -5.5027E-10      3121
 //U3    2.8724E-10      5121 -1.8462E-07      3121
 //V1    5.5239E-02      3121 -2.8624E-02   1001067
 //V2    5.2980E-02   1000353 -1.1005E-01      3121
 //V3    5.7448E-02      5121 -3.6925E+01      3121
 //A1    1.1048E+07      3121 -5.7248E+06   1001067
 //A2    1.0596E+07   1000353 -2.2011E+07      3121
 //A3    1.1490E+07      5121 -7.3849E+09      3121
 //E11   4.3811E-10   1000347 -3.4878E-10   1000709
 //E22   2.1254E-09   1000352 -2.1246E-09   1001427
 //E33   3.6982E-07   1001067 -3.6953E-07   1000347
 //E12   1.1329E-09   1000709 -1.1050E-09   1000352
 //E23   3.6823E-07   1000713 -3.6823E-07   1000353
 //E31   9.1796E-08   1001031 -2.7687E-07      3121
 //S11   1.4231E-02   1001067 -1.4214E-02   1000347
 //S22   1.4226E-02   1001067 -1.4210E-02   1000347
 //S33   1.5711E-02   1001067 -1.5694E-02   1000347
 //S12   2.2266E-06   1000709 -2.2148E-06   1000352
 //S23   7.3645E-04   1000713 -7.3646E-04   1000353
 //S31   1.8358E-04   1001031 -5.5379E-04      3121
 //SMS   1.7350E-03   1000347  3.4921E-43      1201
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11   6.5755E-11       176 -1.7785E-10       178
 //E22   7.2706E-10       178 -7.2236E-10       119
 //E33   1.0581E-09       239 -8.9407E-10        58
 //E12   9.6411E-10       119 -4.1741E-10        60
 //E23   2.1837E-09       119 -2.2050E-09       178
 //E31   2.5589E-10       176 -1.0737E-09       119
 //S11   5.7325E-05       178 -6.8164E-05       119
 //S22   6.0945E-05       178 -7.0539E-05       119
 //S33   6.1843E-05       178 -7.1200E-05       119
 //S12   1.9176E-06       119 -8.3014E-07        60
 //S23   4.3640E-06       119 -4.4100E-06       178
 //S31   5.1153E-07       176 -2.1545E-06       119
 //SMS   9.4730E-06       119  1.0387E-41         2
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    2.7619E-10      3121 -1.4312E-10   1001067
 //U2    2.6490E-10   1000353 -5.5027E-10      3121
 //U3    2.8724E-10      5121 -1.8462E-07      3121
 //V1    5.5239E-02      3121 -2.8624E-02   1001067
 //V2    5.2980E-02   1000353 -1.1005E-01      3121
 //V3    5.7448E-02      5121 -3.6925E+01      3121
 //A1    1.1048E+07      3121 -5.7248E+06   1001067
 //A2    1.0596E+07   1000353 -2.2011E+07      3121
 //A3    1.1490E+07      5121 -7.3849E+09      3121
 //E11   4.3811E-10   1000347 -3.4878E-10   1000709
 //E22   2.1254E-09   1000352 -2.1246E-09   1001427
 //E33   3.6982E-07   1001067 -3.6953E-07   1000347
 //E12   1.1329E-09   1000709 -1.1050E-09   1000352
 //E23   3.6823E-07   1000713 -3.6823E-07   1000353
 //E31   9.1796E-08   1001031 -2.7687E-07      3121
 //S11   1.4231E-02   1001067 -1.4214E-02   1000347
 //S22   1.4226E-02   1001067 -1.4210E-02   1000347
 //S33   1.5711E-02   1001067 -1.5694E-02   1000347
 //S12   2.2266E-06   1000709 -2.2148E-06   1000352
 //S23   7.3645E-04   1000713 -7.3646E-04   1000353
 //S31   1.8358E-04   1001031 -5.5379E-04      3121
 //SMS   1.7350E-03   1000347  3.4921E-43      1201
 ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11   6.5755E-11       176 -1.7785E-10       178
 //E22   7.2706E-10       178 -7.2236E-10       119
 //E33   1.0581E-09       239 -8.9407E-10        58
 //E12   9.6411E-10       119 -4.1741E-10        60
 //E23   2.1837E-09       119 -2.2050E-09       178
 //E31   2.5589E-10       176 -1.0737E-09       119
 //S11   5.7325E-05       178 -6.8164E-05       119
 //S22   6.0945E-05       178 -7.0539E-05       119
 //S33   6.1843E-05       178 -7.1200E-05       119
 //S12   1.9176E-06       119 -8.3014E-07        60
 //S23   4.3640E-06       119 -4.4100E-06       178
 //S31   5.1153E-07       176 -2.1545E-06       119
 //SMS   9.4730E-06       119  1.0387E-41         2

 ...

#### 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