Analisis Dinamik Nonlinear¶
Untuk analisis ini, digunakan data di tutorial/13_dynamic_beam_nonlinear.
Model Analisis¶
Objek analisis adalah balok kantilever yang sama seperti pada Analisis Dinamik Linear di bagian sebelumnya.
| Item | Deskripsi | Catatan | Referensi |
|---|---|---|---|
| Jenis analisis | Analisis dinamik nonlinear | !SOLUTION,TYPE=DYNAMIC !DYNAMIC,TYPE=NONLINEAR | |
| Jumlah node | 525 | ||
| Jumlah elemen | 240 | ||
| Jenis elemen | Elemen tetrahedral kuadratik 10-node | !ELEMENT,TYPE=342 | |
| Nama sifat material | M1 | !MATERIAL,NAME=M1 | |
| Kondisi batas | Pengekangan, beban terpusat | !CLOAD | |
| Solver matriks | CG/SSOR | !SOLVER,METHOD=CG,PRECOND=1 |
Detail Analisis¶
Analisis dinamik nonlinear dilakukan setelah membatasi perpindahan permukaan terkekang yang ditunjukkan pada Gambar 4.12.1 dan menerapkan beban terpusat pada node pembebanan. Data kontrol analisis ditunjukkan di bawah.
Gambar 4.12.1 Geometri balok kantilever
Data Kontrol Analisis 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
Prosedur Analisis¶
Jalankan perintah FrontISTR fistr1.
(Jalankan dengan 4 thread.)
Hasil Analisis¶
Plot deret waktu perpindahan node pemantauan yang ditentukan dalam data kontrol analisis (node pembebanan, nomor node 3121) dibuat menggunakan Microsoft Excel dan ditunjukkan pada Gambar 4.13.1. Sebagian file output perpindahan node pemantauan (dyna_disp_3121.txt) juga ditunjukkan di bawah sebagai data numerik hasil analisis.
Gambar 4.13.1 Perpindahan deret waktu node pemantauan
Perpindahan Node Pemantauan 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
Log Hasil Analisis 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