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Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
1/10

Organization (S): EDF/AMA
Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
V3.05.102 document

SSLX102 - Tuyautery bent in inflection


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. This one 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 TUYAU 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 TUYAU (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
TUYAU and the connection are ensured by a connection 3d_TUYAU.

Modeling A makes it possible to validate the good transmission of ovalization (mode 2) between elements TUYAU,
and validates connection COQUE_TUYAU, two modelings B and C make it possible to validate elements TUYAU
(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 elements TUYAU, and validates the connection 3d_TUYAU.
Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

Code_Aster ®
Version
5.4
Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
2/10

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) Inflection except plan: My moment imposed in D
My = 17000 Nm

1.4 Conditions
initial

Without object.
Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
3/10

2
Reference solution

2.1
Method of calculation used for the reference solution

Comparison with other numerical results obtained with grids 3D or hulls (in
tally in particular of tripartite Fiche 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 inflection except plan, the value of reference (fine calculation COQUE_3D) is worth ­ 1.5657 10­2 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
inflection “. Note EDF/DER HI-75/98/001/0
Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
4/10

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 TUYAU).

3.2
Characteristics of the grid

320 meshs QUAD4
8 meshs SEG3
32 meshs SEG2 (edges of hulls).

3.3 Functionalities
tested

Commands
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELISATION
“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

Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
5/10

5 Modeling
B

5.1
Characteristics of modeling

The whole of piping is with a grid with bent elements TUYAU, rights or.

5.2
Characteristics of the grid

86 meshs SEG3

5.3 Functionalities
tested

Commands
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELISATION
“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

Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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SSLX102 - Tuyautery bent in inflection


Date:
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J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
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7 Modeling
C

7.1
Characteristics of modeling

All piping is modelled in TUYAU_6M (6 modes of Fourier).

7.2
Characteristics of the grid

86 meshs SEG3

7.3 Functionalities
tested

Commands
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELISATION
“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

Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
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Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
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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 inflection except plan where one does not have results published.

9.2
Characteristics of the grid

680 meshs QUAD8
2 meshs SEG2

9.3 Functionalities
tested

Commands
Key word factor
Single-ended spanner word
Argument
CREA_MAILLAGE
MODI_MAILLE
OPTION
“QUAD8_9”
AFFE_MODELE
AFFE
MODELISATION
“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

Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
8/10

11 Modeling
E

11.1 Characteristics of modeling

The whole of piping is with a grid with bent elements TUYAU, rights or, resting on
meshs with 4 nodes.

11.2 Characteristics of the grid

18 meshs SEG4 (10 in the elbow, 4 in each right part).

11.3 Functionalities
tested

Commands
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELISATION
“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 Référence (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

Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
9/10

13 Modeling
F

13.1 Characteristics of modeling

The two right parts of piping are with a grid with bent elements TUYAU, 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 TUYAU on the right parts and the elbow in 3D, and validates the connection 3d_TUYAU.

13.2 Characteristics of the grid

234 meshs SEG3.
512 meshs HEXA20.

13.3 Functionalities
tested

Commands
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELISATION
“TUYAU_3M'
AFFE
MODELISATION
`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

Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

Code_Aster ®
Version
5.4
Titrate:
SSLX102 - Tuyautery bent in inflection


Date:
19/09/02
Author (S):
J. Mr. PROIX, P. MASSIN, C. Key DURAND
:
V3.05.102-B Page:
10/10

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 TUYAU)
one can estimate that the solution obtained (2.7% of variation in cross-bending, and 0.4% in inflection except plan,
compared to the reference: grid all in hulls of modeling D) makes it possible to validate the good
operation of connection coque_tuyau.

For modeling B (elements TUYAU, 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 (TUYAUX, 6 modes of Fourier) is very close to the reference (0.01% in
cross-bending, and 2% in inflection except plan). The element pipe is thus validated in elasticity for these
loadings, compared to a solution in hulls (modeling D).

Modeling E (elements TUYAU with 4 nodes) gives results identical to modeling B,
at a cost of weaker calculation due to a less fine grid.

Handbook of Validation
V3.05 booklet: Linear statics of the assembled structures
HT-66/02/001/A

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