Code_Aster
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Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
1/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
Organization (S):
EDF/AMA
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
V3.05.102 document
SSLX102 - Piping bent in bending
Summary:
This test validates the modeling of the phenomena of ovalization in pipings: an elbow, prolonged by
right pipes is subjected to one bending moment. The aforementioned causes in the elbow an ovalization which
propagate and diminishes in the right parts, and which modifies the rigidity of the whole of piping. For
to check the exactitude of the results, one tests the flexibility of the whole of piping (value of displacement with
the end for one imposed moment) and elements of hulls DKT.
The case test comprises six modelings:
·
For modeling A, the elbow is with a grid in hulls (modeling DKT), modeling pipe is
used for the right parts, the connection is ensured by a connection COQUE_TUYAU.
·
For modelings B and C, modeling PIPE is assigned to the whole of piping:
TUYAU_3M for B and TUYAU_6M for C (M = modes of Fourier).
·
In modeling D, piping is with a grid in hulls (elements COQUE_3D), the ends
are with a grid in beams to apply the loadings.
·
Modeling E: Modeling PIPE (3 modes of Fourier) is assigned to the whole of
piping.
·
For modeling F, the elbow is with a grid in voluminal meshs, the right parts in elements
PIPE and the connection is ensured by a connection 3d_TUYAU.
Modeling A makes it possible to validate the good transmission of ovalization (mode 2) between the elements PIPE,
and validates connection COQUE_TUYAU, two modelings B and C make it possible to validate the elements PIPE
(with 3 and 6 modes of Fourier) in linear elasticity and last modeling makes it possible to validate the maid
transmission of ovalization (mode 2) between the elements PIPE, and validates the connection 3d_TUYAU.
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
2/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
Piping bent in plan XY. The right parts have as a length L = 1200 Misters.
The elbow has as a radius of curvature: Rc = 305mm
With
B
C
D
Mz
The tubular section has for average radius R = 105.5mm and a thickness E = 8.18mm
1.2
Properties of materials
E = 200000 MPa
= 0.3
1.3
Boundary conditions and loadings
Embedding in A
2 loading cases:
1) Moment MZ imposed in D: MZ=17000Nm (cross-bending).
2) Bending except plan: My moment imposed in D
My = 17000 Nm
1.4 Conditions
initial
Without object.
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
3/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
2
Reference solution
2.1
Method of calculation used for the reference solution
Comparison with other numerical results obtained with mesh 3D or hulls (in
tally in particular of the tripartite Card 3455 of the ECA, (see references), and with a calculation COQUE_3D
enough fine (modeling D).
2.2
Results of reference
For one moment applied MZ in D of 17000 Nm, displacement DY of the same point D is worth:
Type of calculation
Dy not D (mm)
Calculation ECA (hulls + Victus) 0.02
Calculation COQUE_3D
0.02012 (modeling D)
We choose for reference the value Dy = 0.02 Misters.
For the bending except plan, the value of reference (fine calculation COQUE_3D) is worth 1.5657 10
2
Misters.
2.3
Precision on the results of reference
Owing to the fact that the reference solution is numerical, one can evaluate the precision according to [§2.2] to 2%.
2.4 References
bibliographical
[1]
Mr. NR. BERTON: “Elastoplastic Calculations of pipings with CASTEM 2000. Formulation
VICTUS. Synthesis of card 3455 “. Note ECA/LDM 96/6036
[2]
J.M. PROIX, A. BEN HAJ YEDDER: “Project CACIP: study of a piping bent in
bending “. Note EDF/DER HI-75/98/001/0
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
4/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
The elbow is with a grid in hulls (meshs QUAD4, modeling DKT). All the right parts are
with a grid in elements pipes (meshs SEG3, modeling PIPE).
3.2
Characteristics of the mesh
320 meshs QUAD4
8 meshs SEG3
32 meshs SEG2 (edges of hulls).
3.3 Functionalities
tested
Controls
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELING
“TUYAU_3M'
AFFE_CHAR_MECA
LIAISON_ELEM
OPTION
“COQUE_TUYAU”
MECA_STATIQUE
4
Results of modeling A
4.1 Values
tested
Loading case
Displacement of the point D
Reference
Aster %
diff
Mz = 17000 Nm
DY (mm)
0.02
0.01941
3.0
My = 17000 Nm
DZ (mm)
0.015657
0.0157
0.3
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
5/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
5 Modeling
B
5.1
Characteristics of modeling
The whole of piping is with a grid with bent elements PIPE, rights or.
5.2
Characteristics of the mesh
86 meshs SEG3
5.3 Functionalities
tested
Controls
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELING
“TUYAU_3M'
6
Results of modeling B
6.1 Values
tested
Loading case
Displacement of the point D
Reference
Aster %
diff
Mz = 17000 Nm
DY (mm)
0.02
0.0186
6.8
My = 17000 Nm
DZ (mm)
0.015657
0.0154
1.9
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
6/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
7 Modeling
C
7.1
Characteristics of modeling
All piping is modelized in TUYAU_6M (6 modes of Fourier).
7.2
Characteristics of the mesh
86 meshs SEG3
7.3 Functionalities
tested
Controls
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELING
“TUYAU_6M'
8
Results of modeling C
8.1 Values
tested
Loading case
Displacement of the point D
Reference
Aster %
diff
Mz = 17000 Nm
DY (mm)
0.02
0.0199
0.01
My = 17000 Nm
DZ (mm)
0.015657
0.01598
2
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
7/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
9 Modeling
D
9.1
Characteristics of modeling
·
Piping is with a grid in hulls (elements hulls 3D).
·
The ends are with a grid in beams (POU_D_T) to be able to apply them easily
boundary conditions.
·
This modeling constitutes a reference solution for modelings A, B and C in
private individual for the bending except plan where one does not have results published.
9.2
Characteristics of the mesh
680 meshs QUAD8
2 meshs SEG2
9.3 Functionalities
tested
Controls
Key word factor
Single-ended spanner word
Argument
CREA_MAILLAGE
MODI_MAILLE
OPTION
“QUAD8_9”
AFFE_MODELE
AFFE
MODELING
“COQUE_3D”
AFFE_CHAR_MECA
LIAISON_ELEM
OPTION
“COQUE_POU”
10 Results of modeling D
10.1 Values
tested
Loading case
Displacement of the point D
Reference
Aster %
diff
Mz = 17000 Nm
DY (mm)
0.02
0.0192
0.6
My = 17000 Nm
DZ (mm)
0.015657
0.015601
0.4
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
8/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
11 Modeling
E
11.1 Characteristics of modeling
The whole of piping is with a grid with bent elements PIPE, rights or, resting on
meshs with 4 nodes.
11.2 Characteristics of the mesh
18 meshs SEG4 (10 in the elbow, 4 in each right part).
11.3 Functionalities
tested
Controls
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELING
“TUYAU_3M'
CREA_MAILLAGE
MODI_MAILLE
OPTION
“SEG3_4”
DEFI_GROUP
CREA_GROUP_NO
OPTION
“NOEUD_ORDO”
AFFE_CARA_ELEM
ORIENTATION
CARA
“GENE_TUYAU”
STAT_NON_LINE
COMP_INCR
RELATION
“ELAS”
12 Results of modeling E
12.1 Values
tested
Loading case
Displacement of the point D Reference (MOD B)
Aster %
diff
Mz = 17000 Nm
DY (mm)
0.0186
0.01854
0.4
My = 17000 Nm
DZ (mm)
0.0154
0.0153
0.2
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
9/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
13 Modeling
F
13.1 Characteristics of modeling
The two right parts of piping are with a grid with bent elements PIPE, resting
on meshs with 3 nodes. The elbow is with a grid with voluminal meshs HEXA20.
This modeling thus makes it possible to validate the good transmission of ovalization (mode 2) between
elements PIPE on the right parts and the elbow in 3D, and validates the connection 3d_TUYAU.
13.2 Characteristics of the mesh
234 meshs SEG3.
512 meshs HEXA20.
13.3 Functionalities
tested
Controls
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELING
“TUYAU_3M'
AFFE
MODELING
`3D
AFFE_CARA_ELEM
ORIENTATION
CARA
“GENE_TUYAU”
MECA_STATIQUE
14 Results of modeling F
14.1 Values
tested
Loading case
Displacement of the point D
Reference
Aster %
diff
Mz = 17000 Nm
DY (mm)
0.0200
0.01922
4.4
My = 17000 Nm
DZ (mm)
0.015657
0.01561
0.0
Code_Aster
®
Version
5.4
Titrate:
SSLX102 - Piping bent in bending
Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. DURAND
Key
:
V3.05.102-B
Page:
10/10
Manual of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A
15 Summary of the results
This test not having reference solutions analytical, but numerical, the variations noted (in
on this side 2% except 1 value) can be regarded as reasonable.
More precisely, for modeling A (elbow with a grid in hulls DKT and right beams in PIPE)
one can estimate that the solution obtained (2.7% of variation in cross-bending, and 0.4% in bending except plan,
compared to the reference: mesh all in hulls of modeling D) makes it possible to validate the good
operation of connection coque_tuyau.
For modeling B (elements PIPE, 3 modes of Fourier), the important variation on cross-bending
(6.8%) is due to the fact that piping is relatively thin, therefore that ovalization in the made elbow
to appear of the modes of Fourier of a nature higher than 3.
In fact, modeling C (PIPES, 6 modes of Fourier) is very close to the reference (0.01% in
cross-bending, and 2% in bending except plan). The element pipe is thus validated in elasticity for these
loadings, compared to a solution in hulls (modeling D).
Modeling E (elements PIPE with 4 nodes) gives results identical to modeling B,
at a cost of weaker calculation due to a less fine mesh.