Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
1/8
Organization (S): EDF-R & D/AMA
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
V3.01.116 document
SSLL116 - Treillis reinforced 3D
Summary:
This test relates to the study of a lattice made up of hurled beams, in linear static analysis.
The lattice is modelled with elements linear (SEG2) and subjected to a specific loading and the effect of
gravity.
There is a modeling with a first geometry, then a modeling with bars of reinforcement.
This test is an example with didactic aiming since it shows the construction of the solution by finite elements rather
to use MECA_STATIQUE directly.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
2/8
1
Problem of reference
1.1 Geometry
2,8
Y
Z
21
7
X
With
7
0,7
1,05
The lattice consists of annular beams of sections everywhere (R=0.05, ep=0.02), except on the part
“crane”, made up of circular sections of two sizes: R=0.05 for the full rounds and R=0.07
for the hatched round.
Point A is in the middle of the final stem.
1.2
Material properties
Isotropic linear elastic material:
E = 1.962 E11 Pa;=0.3
1.3
Boundary conditions and loadings
The base of the lattice is embedded.
Loadings
Vertical nodal force in a:
Fy = 20e6 NR
Field of gravity (according to X)
G = 9.81 m/s ²
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
3/8
2
Reference solution
2.1
Results of reference
Displacements and rotations of node A (DEPL).
The results calculated in this case test result from a former execution of Aster. It is a case test
of nonregression.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
4/8
3 Modeling
With
3.1
Characteristics of modeling
2,8
Y
Z
21
7
X
With
7
0,7
1,05
·
Modeling POU_D_T
·
No reinforcements
3.2
Characteristics of the grid
The grid is obtained by GMSH.
A number of nodes:
247
A number of meshs:
267
3.3 Functionalities
tested
Commands Options
PRE_GMSH
LIRE_MAILLAGE
DEFI_MATERIAU ELAS
AFFE_MATERIAU ALL
AFFE_MODELE
“MECHANICAL” “POU_D_T'
DEFI_VALEUR
AFFE_CARA_ELEM
BEAM “RINGS”
AFFE_CHAR_MECA DDL_IMPO
FORCE_NODALE
CALC_MATR_ELEM “RIGI_MECA”
CALC_VECT_ELEM “CHAR_MECA”
NUME_DDL MATR_RIGI
ASSE_MATRICE
ASSE_VECTEUR
FACT_LDLT
RESO_LDLT
DEFUFI
IMPR_RESU “GMSH”
TEST_RESU “NON_REGRESSION”
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
5/8
4
Results of modeling A
4.1 Values
tested
Loading Value
tested
Aster
Force concentrated vertical in A
Displacement of A Dx
7,20564x101
Displacement of A Dy
2,02277x100
Displacement of A Dz
1,12417x100
Rotation of A Drx
9,88004x101
Rotation of A Dry
1,83637x101
Rotation of A Drz
1,12592x101
4.2 Remarks
It is seen that the not-symmetry of the arrow of the lattice involves displacements according to Z, although
force applied is it according to Y and X only (force of gravity)
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
6/8
5 Modeling
B
5.1
Characteristics of modeling
2,8
Y
Z
21
7
X
With
7
0,7
1,05
·
Modeling POU_D_T
·
Bars of reinforcement
5.2
Characteristics of the grid
The grid is obtained by GMSH.
A number of nodes:
265
A number of meshs:
287
5.3 Functionalities
tested
Commands Options
PRE_GMSH
LIRE_MAILLAGE
DEFI_MATERIAU ELAS
AFFE_MATERIAU ALL
AFFE_MODELE
“MECHANICAL” “POU_D_T'
DEFI_VALEUR
AFFE_CARA_ELEM
BEAM “RINGS”
AFFE_CHAR_MECA DDL_IMPO
FORCE_NODALE
CALC_MATR_ELEM “RIGI_MECA”
CALC_VECT_ELEM “CHAR_MECA”
NUME_DDL MATR_RIGI
ASSE_MATRICE
ASSE_VECTEUR
FACT_LDLT
RESO_LDLT
DEFUFI
IMPR_RESU “GMSH”
TEST_RESU “NON_REGRESSION”
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
7/8
6
Results of modeling B
6.1 Values
tested
Loading Value
tested
Aster
Force concentrated vertical in A
Displacement of A Dx
6,61627x101
Displacement of A Dy
1,82145x100
Displacement of A Dz
2,6628x101
Rotation of A Drx
8,48048x101
Rotation of A Dry
1,68397x101
Rotation of A Drz
9,43511x102
6.2 Remarks
The reinforcements made it possible to decrease displacements of the arrow of the lattice.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Code_Aster ®
Version
7.1
Titrate:
SSLL116 - Treillis articulated 3D
Date
:
23/09/03
Author (S):
Mr. Key ABBAS
:
V3.01.116-A Page:
8/8
7
Summary of the results
This example shows a way of carrying out the “didactic” calculation of manner while building
explicitly vectors and matrices necessary for a standard calculation by finite elements.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/03/008/A
Outline document