6. D modeling#
6.1. Characteristics of modeling#
The models tested are DIS_T on SEG2 meshes. The stiffness characteristics of the discretes are therefore of the type: K_T_D_L, M_T_D_N.
6.2. Characteristics of the mesh#
Number of knots: 3, number of stitches: 2, elements SEG2: 2, elements POI1: 1.
6.3. Boundary conditions and loads#
Nodes N1, N2, N3 are locked in the X direction.
Nodes N1 and N3 are subject to displacement \(U(t)\), speed \(V(t)\), and acceleration \(\gamma (t)\) in Y and Z directions.
Travel conditions are functions of time:
\(\mathit{Depl}={U}_{1.}\mathrm{sin}(2\mathrm{\pi }.{f}_{1}.t)+{U}_{2.}\mathrm{sin}(2\mathrm{\pi }.{f}_{2}.t)+{U}_{3.}\mathrm{sin}(2\mathrm{\pi }.{f}_{3}.t)\)
Following the direction \(Y\): \((u,f)=[(\mathrm{0.20,0}.80),(\mathrm{0.15,1}.50),(\mathrm{0.10,3}.00)]\)
Following the direction \(Z\): \((u,f)=[(-\mathrm{0.20,0}.90),(\mathrm{0.15,2}.00),(-\mathrm{0.10,2}.80)]\)
The speed condition as a function of time: \(V(t)=\dot{U}(t)\)
The accelerating condition as a function of time: \(\gamma (t)=\ddot{U}(t)\)
6.4. Tested sizes and results#
The quantities tested are the displacements in the plane, the forces in the plane, the dissipation.
Tolerances are by default.
INST |
FY |
UY |
UY |
FZ |
UZ |
DISSI |
||
1.78500E-01 |
-9.52285E+00 |
-9.52285E-03 |
1.73773E+00 |
1.73773E-03 |
1.73773E-03 |
0.00000E+00 |
||
6.39500E-01 |
2.34800E+01 |
2.34800E+01 |
2.34800E-02 |
-5.42638E-02 |
-5.42638E-02 |
0.00000E+00 |
||
1.45225E+00 |
-1.03177E+02 |
-1.62113E-01 |
6.13078E+01 |
1.16245E-01 |
1.16245E-01 |
8.96451E+00 |
||
2.06700E+00 |
-9.23386E+00 |
1.55673E-02 |
-1.21557E+02 |
-1.52510E-01 |
-1.52510E-01 |
2.70221E+01 |
||
2.77525E+00 |
-1.21363E+02 |
-2.71352E-01 |
-3.26937E+01 |
-3.65363E-02 |
-3.65363E-02 |
6.40153E+01 |
||
3.74625E+00 |
-1.31646E+02 |
2.73299E-02 |
3.30076E+01 |
7.57833E-02 |
1.67592E+02 |
1.67592E+02 |
||
4.78900E+00 |
-1.22664E+02 |
1.01036E-02 |
9.77728E+01 |
3.89168E-01 |
3.89168E-01 |
4.11937E+02 |
||
5.42725E+00 |
-1.19938E+02 |
-4.83249E-01 |
1.16791E+02 |
1.15451E-01 |
1.15451E-01 |
5.47000E+02 |
||
6.38125E+00 |
-1.68193E+02 |
-1.67892E-01 |
-8.11705E+01 |
-1.68091E-01 |
-1.68091E-01 |
8.17662E+02 |
||
7.48150E+00 |
-1.81713E+02 |
-1.39231E-01 |
-1.01454E+02 |
-1.55927E-01 |
-1.55927E-01 |
1.15084E+03 |
||
8.12900E+00 |
-6.66188E+01 |
-2.22304E-01 |
-2.04507E+02 |
-2.21986E-02 |
-2.21986E-02 |
1.27499E+03 |
||
8.54875E+00 |
1.07608E+02 |
4.10184E-01 |
-1.96228E+02 |
-3.94746E-01 |
1.07608E+02 |
1.07608E+02 |
1.07608E+02 |
1.07608E+02 |
9.34000E+00 |
3.63232E+01 |
-4.42223E-02 |
2.31439E+02 |
3.07575E-01 |
3.07575E-01 |
1.60789E+03 |
||
9.85900E+00 |
2.03147E+02 |
3.46661E-01 |
1.28415E+02 |
-1.57569E-01 |
-1.57569E-01 |
1.72148E+03 |
||
1.03890E+01 |
-4.47134E+01 |
-3.12905E-01 |
2.43579E+02 |
3.16338E-01 |
3.16338E-01 |
1.86254E+03 |
||
1.09538E+01 |
2.41230E+02 |
2.67707E-01 |
-2.13434E+01 |
-2.37630E-01 |
-2.37630E-01 |
1.96976E+03 |
||
1.16903E+01 |
2.09151E+01 |
-2.18357E-01 |
-2.64440E+02 |
-2.40384E-01 |
2.40384E-01 |
2.21945E+03 |
||
1.20625E+01 |
-3.54744E+01 |
5.86898E-03 |
-2.67467E+02 |
-3.32844E-01 |
-3.32844E-01 |
2.31549E+03 |
||
1.27673E+01 |
-2.63252E+02 |
-5.27831E-01 |
-8.66062E+01 |
-5.14733E-02 |
2.47370E+03 |
|||
1.37373E+01 |
-2.00470E+02 |
9.86344E-02 |
1.49167E+02 |
2.15190E-02 |
2.15190E-02 |
2.77046E+03 |
||
1.45615E+01 |
3.03132E+02 |
5.54386E-01 |
-1.74536E+01 |
-5.61822E-02 |
3.08165E+03 |
|||
1.52145E+01 |
-1.03148E+02 |
-1.33764E-01 |
-2.91981E+02 |
-2.84559E-01 |
-2.84559E-01 |
3.22775E+03 |
||
1.58820E+01 |
3.00718E+02 |
4.68026E-01 |
1.02959E+02 |
4.01976E-01 |
3.00718E+02 |
3.43094E+03 |
||
1.68698E+01 |
-7.90613E+01 |
3.51214E-02 |
3.09922E+02 |
5.03429E-01 |
5.03429E-01 |
3.48093E+03 |
||
1.76978E+01 |
-2.08598E+02 |
-1.23050E-01 |
-2.43347E+02 |
-9.42271E-02 |
-9.42271E-02 |
3.49787E+03 |
||
1.85438E+01 |
1.43829E+02 |
2.29377E-01 |
-1.77043E+02 |
-2.79236E-02 |
-2.79236E-02 |
3.49787E+03 |
||
1.99633E+01 |
-6.95902E+01 |
1.59582E-02 |
-1.53634E+02 |
-4.51478E-03 |
-4.51478E-03 |
3.49787E+03 |