Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
1/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
Organization (S):
EDF-R & D/AMA, CS IF, SAMTECH
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
Document: V2.05.301
SDLX301 - Ship with floor-columns
dissymmetrical subjected to a horizontal excitation
Summary:
Applicability: seismic calculation. Type of analysis: spectral and combinations.
A number of modelings: 1.
Description: three-dimensional study of a ship with 3 floors out of 9 columns, embedded at the base of
columns, with unbalance, subjected to a horizontal seismic excitation in displacement. The distribution
offset of the masses of the floors allows to break symmetry, to couple the geometrical directions
main and to generate an effect of torsion. The values of reference are obtained with the code
CASTEM 2000 and the SAMCEF software, which have slightly different methods.
The columns are modelized by beams, and the floors by elements of plane hull. Eights
first clean modes are preserved for calculations of modal recombination. Objective: to test them
displacements, interior efforts, and reactions to the embedding of a column for the recombinations
modal CQC, SRSS, DSC. Precision of the results: comparison between codes. Strong tolerances are
allowed for certain computed fields whose values are several weaker orders of magnitude.
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
2/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
1
Problem of reference
This case test is inspired by the report/ratio referred to [bib1].
1.1 Geometry
The studied ship is composed of 3 floors and 9 columns embedded in the floors.
X
y
C
B
With
D
G
H
I
F
E
Z
PFA
PFB
PFC
PF
PFI
X
y
0.20 m
0.40 m
section of the columns
Section of columns A with I
: 0.20 m X 0.40m
Surface of columns A with I
: 8.00 10
2
m
2
Inertias of columns A with I
: Ix = 2.667 10
4
m
4
(in the total reference mark)
Iy = 1.066 10
3
m
4
J =7.45 10
4
m
4
Coefficients of reduced section
AY=AZ=1.2
Thickness of the floors
: 0.2 m
G
H
I
D
E
F
B
With
C
Cm
y
X
4 m
4 m
4 m
4 m
y
Z
B
E
H
3 m
3 m
3 m
PM0
PM1
PM2
PM4
PM6
PM5
PM3
Appear 1.1-a
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
3/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
1.2
Properties of materials
In order to obtain the center of mass Cm, excentré compared to the geometrical center of 0,3071 m, one
material of density
2
= 1,848
1
with ¼ surface of each floor (PLAN21, PLAN22 is affected
and PLAN23).
Columns and left PLAN11, PLAN21 and PLAN31 of the floors:
Young modulus:
E
1
= 4,0 10
10
AP Poisson's ratio:
1
= 0,15
Density:
1
= 2500 kg/m
3
Parts PLAN12, PLAN22 and PLAN32 of the floors:
Young modulus:
E
2
= 4,0 10
10
AP Poisson's ratio:
2
= 0,15
Density:
2
= 4620 kg/m
3
X
y
With
B
C
D
E
F
H
G
I
MAT1
MAT2
Cm
Floor n° I (groups of meshs PLANi1 and PLANi2)
PLANi2
PLANi1
Appear 1.2-a
1.3
Boundary conditions and loading
Boundary condition
The columns are embedded on the level of the foundation.
Loading
The seism is applied in direction X.
The spectrum of response of oscillators in displacement is obtained by superposition of four spectra
of displacement. Each one of these spectra of displacement corresponds to the response of an oscillator to
a degree of freedom to the sinewave excitations defined in table [Table 1.3-a] Ci below:
()
=
+
-
=
4
1
2
2
2
2
2
2
2
2
4
1
4
,
I
I
I
I
F
F
F
F
F
K
F
SD
In particular, the frequencies and depreciation selected are close to the first four modes to
the structure.
Frequency
(Hz)
I
F
Amplitude
(m)
I
K
Damping
sine 1
1.51
0.15
0.05
sine 2
2.05
0.25
0.05
sine 3
2.34
0.25
0.05
sine 4
4.86
0.30
0.05
Table 1.3-a
The neglected modes are represented by a pseudo-mode.
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
4/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
2
Reference solutions
2.1
Method of calculation used for the reference solutions
The calculations taken for reference are carried out with codes CASTEM 2000 and the SAMCEF software. The solution
of reference is not given by the results of [bib1] because it missed in this reference some
geometrical characteristics and of material to remake with identical the model of the structure
studied. Certain data retained in this case test are thus different from those of the report/ratio [bib1],
what does not allow a comparison of the results.
2.2
Results of reference
·
Frequencies calculated with CASTEM 2000 and the SAMCEF software,
·
Spectrum of response in displacement for a damping of
= 5%,
·
Displacements by modal recombination CQC, SRSS, DSC for the column B (calculated in
taking into account the first 8 modes primarily torsion of the ship and bending of
columns, but the floors are bent little),
·
Dynamic and pseudo mode for the static correction,
·
Efforts with the embedding of the column B and the central column E,
·
Interior efforts along the column B.
2.3
Uncertainty on the solution
Comparison between codes
2.4 References
bibliographical
[1]
Mr. MONTAY: Dynamic calculation of the structures in seismic area. Free university of
Brussels, 1982.
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
5/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
3 Modeling
With
3.1
Characteristics of modeling
3.2
Characteristics of the mesh
The mesh of the model calculated with Code_Aster consists of 3357 nodes and 3387 meshs of which
135 elements of right beam of Timoshenko (including 12 SEG2 by column, is 108 for the columns)
and 3072 elements plates DKT (1024 per floor). In order to ensure the continuity of ddl DRZ of rotation
clean of the beams with rotation around the normal of the plates (uninsured automatically
by Code_Aster) of the elements of beams are added locally at the edge of plates DKT, with
level of the 27 connections column-floor, to ensure the transmission of rotations DRZ related to
plane movement of the plate in rotation in the plan (X, y).
The mesh of the model calculated with CASTEM 2000 consists of 3765 nodes and 7368 elements
including 108 elements right beam of Timoshenko and 6960 elements of hull DKT.
The mesh of the model calculated with the SAMCEF software consists of 3360 nodes and 3180 elements of which
108 elements right beam of Mindlin and 3072 elements of hull of Mindlin.
3.3 Functionalities
tested
Controls
COMB_SISM_MODAL COMB_MODE
“CQC”
“DSC”
“SRSS”
EXCIT
MONO_APPUI
“YES”
MODE_CORR
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
6/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
4
Results of modeling A
4.1 Remarks
For a given node, effort generalized for the element
I
I
- 1
and for the element
I
is compared
respectively in tables “low” element and “high” element.
The efforts are given in the local reference mark of the elements of beam (main reference mark of inertia).
4.2
Calculation of the modal base
Eigen frequencies (Hz)
Mode
Code_Aster
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
1 1.512
1.512 0.036
1.495
1.11
2 2.052
2.050 0.125
2.014
1.93
3 2.365
2.343 0.916
2.291
3.24
4 4.848
4.859 0.237
4.823
0.522
5 7.488
7.521 0.448
7.415
0.99
6 8.388
8.426 0.456
8.355
0.392
7 8.547
8.543 0.037
8.438
1.30
8 15.185
15.405 1.428
15.186
0.004
Visualization: Mode n° 1;
Mode n° 3;
Mode n° 7.
Effective modal masses (kg)
Mode and Code_Aster direction
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
1 X
2,129E+01
2.300E+01
7,451
2.070E+01
2,846
Y
1,115E+05
1.113E+05
0,127
1.102E+05
1,186
Z
5,203E02
6.698E02
22,319
5.816E02
10,531
2 X
9,559E+04
9.365E+04
2,068
9.294E+04
2,847
Y
1,532E+02
1.817E+02
15,689
1.683E+02
8,967
Z
1,002E02
1.440E02
30,405
1.500E02
33,186
3 X
1,063E+04
1.238E+04
14,202
1.201E+04
11,509
Y
4,954E+02
5.181E+02
4,399
5.010E+02
1,119
Z
6,074E03
9.450E03
35,736
8.390E03
27,609
4 X
9,222E01
9.3722E01
1,606
8.338E01
10,599
Y
1,434E+04
1.438E+04
0,296
1.438E+04
0,247
Z
1,553E01
2.066E01
24,850
1.791E01
13,286
5 X
1,606E+04
1.582E+04
1,514
1.594E+04
0,749
Y
1,537E+01
1.751E+01
12,252
1.491E+01
3,096
Z
3,026E02
4.386E02 31,012 4.668E02
35,178
6 X
1,829E+02
3.9466E+02
53,662
1.901E+03
90,380
Y
3,771E+03
3.622E+03
4,112
1.300E+03
190,089
Z
1,282E01
1.809E01
29,145
1.336E01
4,028
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
7/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
7 X
2,064E+03
2.1461E+03
3,842
5.331E+02
287,105
Y
9,264E+01
2.7942E+02
66,846
2.627E+03
96,474
Z
1,449E02
1.222E02
18,522
2.709E02
46,519
8 X
4,932E+03
4.948E+03
0,346
4.974E+03
0,851
Y
1,130E+00
1.121E+00
0,752
1.035E+00
9,143
Z
5,731E+01
1.5420E+02
62,836
5.098E+01
12,411
Office plurality X
1,2948E+05 1,2936E+05
0,092% 1,2832E+05 0,905%
Y
1,3037E+05 1,3030E+05
0,053% 1,2919E+05 0,911%
Z
5,7706E+01 1,5473E+02
- 62,706% 5,1448E+01 12,164%
Note:
The standard of error of the modes calculated by the method of Sorensen de Code_Aster is always lower
to 10
- 9
.
Note:
The total mass of the ship is 132552 kg; the strong orientation according to of the modes is due to the relative one there
less inertia according to there of the columns. Effective modal mass cumulated in direction X of the seism
obtained by Code_Aster 97.678% of the total mass represent.
Note:
The differences between modelings and software are rather strong in direction Z, because it is little
solicited in these modes.
4.3
Spectral answer - method CQC
Displacements - column B (in meter)
Altitude Z (m)
Component Code_Aster CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
PM1: 1.5
X
1.829E03
1.717E03
6.466
1.641E03
11.439
N982 Y
2.303E04
2.276E04
1.190
1.730E03
86.686
Z
1.882E06
1.763E06
6.728
2.112E05
91.087
PM2: 3.0
X
5.411E03
5.108E03
5.935
5.255E03
2.968
1
Er
floor
Y
5.709E04
5.679E04
0.526
3.304E03
82.722
N1245 Z
3.764E06
3.526E06
6.729
4.223E05
91.087
PM3: 4.5
X
9.762E03
9.243E03
5.608
9.551E03
2.209
N1530 Y
9.277E04
9.246E04
0.331
8.594E03
89.205
Z
4.750E06
4.452E06
6.671
5.540E05
91.426
PM4: 6.0
X
1.409E02
1.336E02
5.462
1.381E02
2.047
2
ème
floor
Y
1.259E03
1.255E03
0.296
1.229E02
89.756
N1815 Z
5.736E06
5.379E06
6.633
6.857E05
91.634
PM5: 7.5
X
1.780E02
1.689E02
5.352
1.747E02
1.890
N2106 Y
1.486E03
1.482E03
0.224
1.539E02
90.347
Z
6.014E06
5.642E06
6.598
7.376E05
91.846
PM6: 9.0
X
2.085E02
1.980E02
5.319
2.057E02
1.383
3
ème
floor
Y
1.661E03
1.657E03
0.223
1.789E02
90.713
N2355 Z
6.293E06
5.905E06
6.567
7.896E05
92.029
Reaction (NR) and Moment (N.m) with the embedding of the column B (N758 node)
Reaction or Code_Aster moment
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
Fx
3.445E+04
3.325E+04
3.590
3.362E+04
2.460
Fy
1.644E+03
1.629E+03
0.916
2.265E+03
27.405
Fz
4.015E+03
3.761E+03
6.729
5.000E+03
19.694
MX
2.986E+03
2.975E+03
0.348
4.145E+03
27.967
My
8.488E+04
8.135E+04
4.336
8.225E+04
3.208
Mz 1.8460E03
1.772E01
98.958
2.165E+01
- 99.99
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
8/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
Reaction (NR) and Moment (N.m) with the embedding of the central column E (N885 node)
Reaction or Code_Aster moment
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
Fx
5.799E+04
5341E+04
8.552
5.056E+04
14.686
Fy
2.080E+03
2.071E+03
0.428
2.849E+03
26.994
Fz
2.471E+02
4.067E+02
39.247
1.978E+03
87.504
MX
3.419E+03
3.417E+03
0.044
4.728E+03
27.691
My
1.202E+05
1.116E+05
7.705
1.074E+05
11.913
Mz
1.842E03
1.770E01
98.959
2.591E+01
- 99.99
Generalized efforts of the column B (in local reference mark)
Table “low” element (see remark [§ 4.1])
Altitude Z (m)
Component Code_Aster CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
PM1: 1.5
NR (NR)
4.015E+03
3.7618E+03
6.728
5.000E+03
19.702
M3158 N982
Vy (NR)
1.640E+03
1.627E+03
0.770
2.260E+03
27.445
Vz
(NR)
3.441E+04
3.323E+04
3.528
3.320E+04
3.634
MT
(N.m)
1.846E03
1.756E01
98.949
2.160E+01
99.99
Mfy
(N.m)
3.325E+04
3.151E+04
5.522
3.320E+04
0.154
Mfz
(N.m)
5.215E+02
5.333E+02
2.227
7.650E+02
31.835
PM2: 3.0
NR (NR)
4.015E+03
3.761E+03
6.727
4.999E+03
19.689
1
Er
floor
Vy (NR)
1.618E+03
1.610E+03
0.482
2.230E+03
27.450
M3160 N1245
Vz (NR)
3.420E+04
3.308E+04
3.371
3.286E+04
4.073
MT
(N.m)
1.846E03
1.645E01
98.879
2.160E+01
99.99
Mfy
(N.m)
1.830E+04
1.824E+04
0.228
1.750E+04
4.603
Mfz
(N.m)
1.925E+03
1.891E+03
1.771
2.620E+03
26.542
PM3: 4.5
NR (NR)
2.104E+03
1.976E+03
6.448
2.636E+03
20.176
M3162 N1530
Vy (NR)
1.381E+03
1.368E+03
0.952
1.930E+04
28.439
Vz
(NR)
3.061E+04
3.000E+04
2.010
2.993E+04
2.265
MT
(N.m)
1.594E03
1.402E01
98.863
2.570E+01
99.99
Mfy
(N.m)
1.434E+03
1.390E+03
3.161
1.440E+03
0.385
Mfz
(N.m)
1.295E+02
1.342E+02
3.554
1.890E+02
31.483
PM4: 6.0
NR (NR)
2.104E+03
1.976E+03
6.450
2.636E+03
20.187
2
ème
floor
Vy (NR)
1.324E+03
1.315E+03
0.618
1.850E+03
28.458
M3164 N1815
Vz (NR)
2.993E+04
2.941E+04
1.751
2.931E+04
2.119
MT
(N.m)
1.594E03
1.049E01
98.481
2.570E+01
99.99
Mfy
(N.m)
4.583E+04
4.471E+04
2.480
4.430E+04
3.445
Mfz
(N.m)
2.157E+03
2.126E+03
1.456
2.990E+03
27.858
PM5: 7.5
NR (NR)
5.956E+02
5.629E+02
5.817
7.749E+02
23.133
M3166 N2106
Vy (NR)
7.279E+02
7.312E+02
0.453
1.040E+03
30.006
Vz
(NR)
1.935E+04
1.934E+04
0.039
1.934E+04
0.039
MT
(N.m)
9.470E04
6.137E02
- 98.457
2.660E+01
99.99
Mfy
(N.m)
1.234E+04
1.184E+04
4.184
1.210E+04
2.006
Mfz
(N.m)
2.511E+02
2.578E+02
2.607
3.800E+02
33.921
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
9/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
Table “high” element (see remark [§ 4.1])
Altitude Z (m)
Component Code_Aster CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
PM0: 0.0
NR (NR)
4.015E+03
3.762E+03
6.729
- -
M3157 N758
Vy (NR)
1.644E+03
1.629E+03
0.928
- -
Vz
(NR)
3.444E+04
3.325E+04
3.593
- -
MT
(N.m)
1.846E03
1.770E01
98.957
- -
Mfy
(N.m)
8.488E+04
8.135E+04
4.336
- -
Mfz
(N.m)
2.986E+02
2.975E+02
0.348
- -
PM1: 1.5
NR (NR)
4.015E+03
3.762E+03
6.728
5.000E+03
19.702
M3159 N982
Vy (NR)
1.640E+03
1.621E+03
1.149
2.250E+03
27.123
Vz
(NR)
3.440E+04
3.318E+04
3.683
3.300E+04
4.258
MT
(N.m)
1.846E03
1.717E01
98.925
2.160E+01
99.99
Mfy
(N.m)
3.325E+04
3.150E+04
5.529
3.260E+04
1.997
Mfz
(N.m)
5.215E+02
5.331E+02
2.183
7.640E+02
31.746
PM2: 3.0
NR (NR)
2.104E+03
1.976E+03
6.454
2.640E+03
20.289
1
Er
floor
Vy (NR)
1.419E+03
1.386E+03
2.319
1.950E+03
27.233
M3161 N1245
Vz (NR)
3.103E+04
3.020E+04
2.733
3.010E+04
3.094
MT
(N.m)
1.595E03
1.540E01
98.965
2.570E+01
99.99
Mfy
(N.m)
4.591E+04
4.485E+04
2.354
4.500E+04
2.022
Mfz
(N.m)
1.976E+03
1.935E+03
2.095
2.730E+03
27.610
PM3: 4.5
NR (NR)
2.104E+03
1.976E+03
6.453
2.640E+03
20.297
M3163 N1530
Vy (NR)
1.381E+03
1.344E+03
2.739
1.900E+03
- 27.309
Vz
(NR)
3.061E+04
2.974E+04
2.917
2.970E+04
3.062
MT
(N.m)
1.594E03
1.237E01
98.712
2.570E+01
99.99
Mfy
(N.m)
1.434E+03
1.391E+03
3.109
1.440E+03
0.385
Mfz
(N.m)
1.295E+02
1.345E+02
3.741
1.900E+02
31.843
PM4: 6.0
NR (NR)
5.960E+02
5.630E+02
5.847
7.750E+02
23.103
2
ème
floor
Vy (NR)
7.978E+02
7.660E+02
4.147
1.080E+03
26.130
M3165 N1815
Vz (NR)
2.023E+04
1.976E+04
2.358
1.970E+04
2.696
MT
(N.m)
9.477E04
8.407E02
98.873
2.670E+01
99.99
Mfy
(N.m)
1.751E+04
1.762E+04
0.636
1.790E+04
2.179
Mfz
(N.m)
8.967E+02
8.675E+02
3.363
1.280E+03
29.945
PM5: 7.5
NR (NR)
5.956E+02
5.627E+02
5.842
7.750E+02
23.143
M3167 N2106
Vy (NR)
7.279E+02
6.933E+02
4.987
9.930E+02
26.693
Vz
(NR)
1.935E+04
1.886E+04
2.561
1.890E+04
2.360
MT
(N.m)
9.470E04
3.736E02
97.466
2.660E+01
99.99
Mfy
(N.m)
1.234E+04
1.184E+04
4.167
1.210E+04
2.006
Mfz
(N.m)
2.511E+02
2.579E+02
2.664
3.810E+02
34.095
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
10/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
4.4
Spectral answer - method SRSS
Displacements column B (in m)
Altitude Z (m)
Component Code_Aster CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
PM1: 1.5
X
1.593E03
1.4749E03
7.998
1.40E03
13.779
N982 Y
2.767E04
2.795E04
1.050
1.47E03
81.179
Z
2.253E+06
2.156E06
4.469
1.95E05
88.447
PM2: 3.0
X
4.714E03
4.386E03
7.475
4.46E03
5.707
1
Er
floor
Y
6.854E04
6.969E04
1.653
4.12E03
83.364
N1245 Z
4.506E06
4.312E06
4.469
3.90E05
88.447
PM3: 4.5
X
8.508E03
7.939E03
7.169
8.13E03
4.655
N1530 Y
1.113E03
1.133E03
1.797
7.32E03
84.798
Z
5.684E06
5.443E06
4.412
5.12E05
88.898
PM4: 6.0
X
1.229E02
1.148E02
7.043
1.18E02
4.153
2
ème
floor
Y
1.510E03
1.538E03
1.842
1.05E02
85.621
N1815 Z
6.862E06
6.574E06
4.374
6.33E05
89.159
PM5: 7.5
X
1.552E02
1.451E02
6.956
1.49E02
4.187
N2106 Y
1.780E03
1.815E03
1.902
1.31e02
86.410
Z
7.195E06
6.896E06
4.338
6.80E06
89.419
PM6: 9.0
X
1.820E02
1.701E02
6.944
1.75E02
3.981
3
ème
floor
Y
1.990E03
2.028E03
1.902
1.52E02
86.908
N2355 Z
7.528E06
7.217E06
4.303
7.27E06
89.646
Reaction (NR) and Moment (N.m) with the embedding of the column B (N758 node)
Reaction or Code_Aster moment
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
Fx
2.999E+04
2.854E+04
5.040
2.883E+04
4.006
Fy
1.977E+03
2.006E+03
1.434
1.914E+03
3.336
Fz
4.806E+03
4.600E+03
4.468
4.254E+03
12.973
MX
3.587E+03
3.657E+03
1.902
3.510E+03
2.203
My
7.393E+04
6.985E+04
5.830
7.011E+04
5.448
Mz
2.240E03
1.772E01
98.736
1.989E+01
- 99.99
Reaction (NR) and Moment (N.m) with the embedding of the central column E (N885 node)
Reaction or Code_Aster moment
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
Fx
5.591E+04
5.094E+04
9.754
4.797E+04
16.558
Fy
2.499E+03
2.545E+03
1.818
2.413E+03
3.571
Fz
2.472E+02
4.068E+02
39.240
1.972E+03
87.462
MX
4.106E+03
4.196E+03
2.161
4.008E+03
2.454
My
1.159E+05
1.064E+05
8.897
1.019E+05
13.769
Mz
2.236E03
1.770E01
98.737
2.288E+01
99.99
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
11/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
Generalized efforts of the column B
Table “low” element (see remark [§4.1])
Altitude Z (m)
Component Code_Aster CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
PM1: 1.5
NR (NR)
4.806E+03
4.600E+03
4.469
4.250E+03
13.082
M3158 N982
Vy (NR)
1.972E+03
2.003E+03
1.580
1.910E+03
3.233
Vz
(NR)
2.995E+04
2.853E+04
4.979
2.830E+04
5.832
MT
(N.m)
2.240E03
1.756E01
98.725
1.990E+01
99.99
Mfy
(N.m)
2.898E+04
2.706E+04
7.088
2.780E+04
4.261
Mfz
(N.m)
6.254E+02
6.536E+02
4.319
6.500E+02
3.781
PM2: 3.0
NR (NR)
4.806E+03
4.600E+03
4.467
4.250E+03
13.078
1
Er
floor
Vy (NR)
1.944E+03
1.980E+03
1.839
1.890E+03
2.867
M3160 N1245
Vz (NR)
2.977E+04
2.840E+04
4.825
2.800E+04
6.326
MT
(N.m)
2.240E03
1.646E01
98.639
1.990E+01
99.99
Mfy
(N.m)
1.590E+04
1.566E+04
1.513
1.510E+04
5.284
Mfz
(N.m)
2.317E+03
2.334E+03
0.746
2.200E+03
5.327
PM3: 4.5
NR (NR)
2.515E+03
2.414E+03
4.184
2.240E+03
12.268
M3162
Vy (NR)
1.664E+03
1.694E+03
1.789
1.620E+03
2.703
Vz
(NR)
2.670E+04
2.578E+04
3.551
2.560E+04
4.291
MT
(N.m)
1.935E03
1.402E01
98.621
2.570E+01
99.99
Mfy
(N.m)
1.246E+03
1.152E+03
8.141
1.120E+03
11.269
Mfz
(N.m)
1.564E+02
1.656E+02
5.535
1.600E+02
2.217
PM4: 6.0
NR (NR)
2.514E+03
2.413E+03
4.183
2.240E+03
12.253
2
ème
floor
Vy (NR)
1.592E+03
1.626E+03
2.151
1.560E+03
2.033
M3164 N1815
Vz (NR)
2.611E+04
2.528E+04
3.308
2.500E+04
4.461
MT
(N.m)
1.934E03
1.049E01
98.156
2.570E+01
99.99
Mfy
(N.m)
3.993E+04
3.840E+04
3.962
3.780E+04
5.635
Mfz
(N.m)
2.598E+03
2.630E+03
1.242
2.520E+03
3.085
PM5: 7.5
NR (NR)
7.130E+02
6.904E+02
3.270
6.590E+02
8.197
M3166 N2106
Vy (NR)
8.779E+02
9.099E+02
3.521
8.730E+02
0.564
Vz
(NR)
1.693E+04
1.663E+04
1.802
1.650E+04
2.635
MT
(N.m)
1.150E03
6.137E02
98.128
2.500E+01
99.99
Mfy
(N.m)
1.075E+04
1.017E+04
5.675
1.030E+04
4.382
Mfz
(N.m)
3.034E+02
3.201E+02
5.243
3.200E+02
5.199
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
12/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
Table “high” element (see remark [§ 4.1])
Altitude Z (m)
Component Code_Aster CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
PM0: 0.0
NR (NR)
4.806E+03
4.600E+03
4.468
- -
M3157 N758
Vy (NR)
1.977E+03
2.006E+03
1.429
- -
Vz
(NR)
2.998E+04
2.854E+04
5.043
- -
MT
(N.m)
2.240E03
1.770E01
98.735
- -
Mfy
(N.m)
7.393E+04
6.986E+04
5.830
- -
Mfz
(N.m)
3.587E+03
3.657E+03
1.902
- -
PM1: 1.5
NR (NR)
4.806E+03
4.600E+03
4.469
4.250E+03
13.082
M3159 N982
Vy (NR)
1.972E+03
1.995E+03
1.176
1.900E+03
3.776
Vz
(NR)
2.995E+04
2.848E+04
5.140
2.810E+04
6.580
MT
(N.m)
2.240E03
1.717E01
98.696
1.990E+01
99.99
Mfy
(N.m)
2.898E+04
2.706E+04
7.096
2.780E+04
4.261
Mfz
(N.m)
6.254E+02
6.533E+02
4.276
6.500E+02
3.781
PM2: 3.0
NR (NR)
2.515E+03
2.414E+03
4.191
2.240E+03
12.280
1
Er
floor
Vy (NR)
1.709E+03
1.716E+03
0.403
1.640E+03
4.231
M3161 N1245
Vz (NR)
2.706E+04
2.595E+04
4.269
2.570E+04
5.304
MT
(N.m)
1.935E03
1.540E01
98.744
2.570E+01
99.99
Mfy
(N.m)
4.009E+04
3.856E+04
3.969
3.850E+04
4.131
Mfz
(N.m)
2.380E+03
2.397E+03
0.703
2.300E+03
3.481
PM3: 4.5
NR (NR)
2.515E+03
2.413E+03
4.193
2.240E+03
12.268
M3163 N1530
Vy (NR)
1.664E+03
1.664E+03
0.025
1.600E+03
3.987
Vz
(NR)
2.670E+04
2.555E+04
4.469
2.530E+04
5.534
MT
(N.m)
1.935E03
1.237E01
- 98.437
2.570E+01
99.99
Mfy
(N.m)
1.246E+03
1.153E+03
8.084
1.120E+03
11.269
Mfz
(N.m)
1.564E+02
1.659E+02
5.734
1.610E+02
2.824
PM4: 6.0
NR (NR)
7.134E+02
6.906E+02
3.299
6.590E+02
8.255
2
ème
floor
Vy (NR)
9.610E+02
9.506E+02
1.087
9.100E+02
5.607
M3165 N1815
Vz (NR)
1.769E+04
1.700E+04
4.099
1.680E+04
5.325
MT
(N.m)
1.150E03
8.407E02
98.632
2.500E+01
99.99
Mfy
(N.m)
1.537E+04
1.516E+04
1.330
1.540E+04
0.197
Mfz
(N.m)
1.092E+03
1.1021E+03
0.959
1.060E+03
2.974
PM5: 7.5
NR (NR)
7.130E+02
6.902E+02
3.297
6.580E+02
8.362
M3167 N2106
Vy (NR)
8.779E+02
8.644E+02
1.561
8.310E+02
5.647
Vz
(NR)
1.693E+04
1.622E+04
4.345
1.610E+04
5.174
MT
(N.m)
1.149E03
3.736E02
96.925
2.490E+01
99.99
Mfy
(N.m)
1.075E+04
1.017E+04
5.654
1.030E+04
4.382
Mfz
(N.m)
3.034E+02
3.202E+02
5.282
3.210E+02
5.494
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
13/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
4.5
Spectral answer - method ROSENBLUETH DSC
For this method, we used a time of 30 seconds simulation.
Displacements - column B (in m)
Altitude Z (m)
Component Code_Aster CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
PM1: 1.5
X
1.858E03
1.746E03
6.396
1.643E3
13.110
N982 Y
2.230E04
2.197E04
1.493
1.732E3
87.124
Z
1.823E06
1.703E06
7.048
2.113E5
91.372
PM2: 3.0
X
5.499E03
5.194E03
5.864
5.241E3
4.917
1
Er
floor
Y
5.528E04
5.4825E04
0.827
4.845E3
88.590
N1245 Z
3.646E06
3.406E06
7.048
4.225E5
91.370
PM3: 4.5
X
9.919E03
9.398E03
5.534
9.560E3
3.751
N1530 Y
8.983E04
8.927E04
0.631
8.603E3
89.558
Z
4.601E06
4.300E06
6.991
5.453E5
91.699
PM4: 6.0
X
1.432E02
1.359E02
5.386
1.383E2
3.548
2
ème
floor
Y
1.219E03
1.212E03
0.596
1.23E2
90.087
N1815 Z
5.557E06
5.195E06
6.953
6.861E5
91.901
PM5: 7.5
X
1.808E02
1.717E02
5.273
1.748E2
3.434
N2106 Y
1.439E03
1.431E03
0.525
1.54E2
90.657
Z
5.827E06
5.450E06
6.918
7.381E5
92.105
PM6: 9.0
X
2.119E02
2.013E02
5.239
2.059E2
2.892
3rd floor
Y
1.609E03
1.600E03
0.524
1.79E2
91.015
N2355 Z
6.097E06
5.704E06
6.886
7.901E5
92.283
Reaction (NR) and Moment (N.m) with the embedding of the column B (N758 node)
Reaction or moment
Code_Aster
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
Fx
3.501E+04
3.381E+04
3.524
3.368E+04
3.938
Fy
1.592E+03
1.572E+03
1.223
2.270E+03
29.885
Fz
3.889E+03
3.633E+03
7.050
5.007E+03
22.330
MX
2.891E+03
2.872E+03
0.647
4.154E+03
30.410
My
8.626E+04
8.273E+04
4.267
8.236E+04
4.738
Mz
1.787E03
1.772E01
- 98.992
2.170E+01
99.99
Reaction (NR) and Moment (N.m) with the embedding of the central column E (N885 node)
Reaction or moment
Code_Aster
CASTEM 2000
Variation in %
The SAMCEF software
Variation in %
Fx
5.827E+04
5.374E+04
8.432
5.061E+04
15.148
Fy
2.014E+03
1.999E+03
0.724
2.855E+03
29.471
Fz
2.471E+02
4.067E+02
39.252
1.979E+03
87.515
MX
3.310E+03
3.298E+03
0.343
4.738E+03
30.136
My
1.208E+05
1.122E+05
7.586
1.075E+05
12.386
Mz
1.783E03
1.770E01
- 98.993
2.601E+01
99.99
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
14/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
Generalized efforts of the column B
Table “low” element (see remark paragraph [§4.1])
Altitude Z (m) Component Code_Aster CASTEM 2000 Variation in %
The SAMCEF software
Variation in %
PM1: 1.5
NR (NR)
3.889E+03
3.633E+03
7.048
5.007E+03
22.327
Vy
(NR)
1.588E+03
1.570E+03
1.070
2.266E+03
29.938
Vz
(NR)
3.497E+04
3.380E+04
3.461
3.325E+04
5.172
MT
(N.m)
1.786E03
1.756E01
98.983
2.169E+01
99.99
Mfy
(N.m)
3.378E+04
3.204E+04
5.445
3.264E+04
3.507
Mfz
(N.m)
5.050E+02
5.149E+02
1.933
7.659E+02
34.067
PM2: 3.0
NR (NR)
3.889E+03
3.632E+03
7.047
5.007E+03
22.330
1
Er
floor
Vy (NR)
1.566E+03
1.554E+03
0.785
2.235E+03
29.911
M3160
N1245
Vz (NR)
3.476E+04
3.364E+04
3.304
3.290E+04
5.646
MT
(N.m)
1.786E03
1.646E01
98.915
2.167E+01
99.99
Mfy
(N.m)
1.861E+04
1.858E+04
0.181
1.752E+04
6.243
Mfz
(N.m)
1.863E+03
1.825E+03
2.075
2.623E+03
28.960
PM3: 4.5
NR (NR)
2.039E+03
1.910E+03
6.770
2.641E+03
22.799
M3162 N1530
Vy (NR)
1.338E+03
1.321E+03
1.255
1.934E+03
30.834
Vz
(NR)
3.109E+04
3.050E+04
1.931
2.997E+04
3.751
MT
(N.m)
1.543E03
1.402E01
98.900
2.573E+01
99.99
Mfy
(N.m)
1.441E+03
1.397E+03
3.154
1.447E+03
0.374
Mfz
(N.m)
1.253E+02
1.295E+02
3.277
1.900E+02
34.035
PM4: 6.0
NR (NR)
2.039E+03
1.910E+03
6.767
2.640E+03
22.780
2
ème
floor
Vy (NR)
1.282E+03
1.270E+03
0.924
1.859E+03
31.030
M3164 N1815
Vz (NR)
3.040E+04
2.990E+04
1.675
2.935E+04
3.594
MT
(N.m)
1.542E03
1.049E01
98.53
2.573E+01
99.99
Mfy
(N.m)
4.656E+04
4.546E+04
2.413
4.436E+04
4.969
Mfz
(N.m)
2.089E+03
2.053E+03
1.759
2.999E+03
30.340
PM5: 7.5
NR (NR)
5.775E+02
5.441E+02
6.129
7.773E+02
25.708
M3166 N2106
Vy (NR)
7.058E+02
7.068E+02
0.143
1.045E+03
32.457
Vz
(NR)
1.964E+04
1.965E+04
0.056
1.937E+04
1.389
MT
(N.m)
9.165E04
6.137E02
98.51
2.669E+01
100.00
Mfy
(N.m)
1.254E+04
1.205E+04
4.116
1.210E+04
3.652
Mfz
(N.m)
2.431E+02
2.488E+02
2.314
3.815E+02
36.283
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
15/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
Table “high” element (see remark paragraph [§4.1])
Altitude Z (m)
Component Code_Aster CASTEM 2000 Variation in %
The SAMCEF software
Variation in %
PM0: 0.0
NR (NR)
3.889E+03
3.633E+03
7.050
M3157 N758
Vy (NR)
1.592E+03
1.573E+03
1.229
Vz
(NR)
3.501E+04
3.382E+04
3.527
MT
(N.m)
1.787E03
1.770E01
98.991
Mfy
(N.m)
8.626E+04
8.273E+04
4.267
Mfz
(N.m)
2.891E+03
2.872E+03
0.647
PM1: 1.5
NR (NR)
3.889E+03
3.633E+03
7.048 5.007E+03
22.327
M3159 N982
Vy (NR)
1.587E+03
1.564E+03
1.451 2.255E+03
29.596
Vz
(NR)
3.497E+04
3.375E+04
3.620 3.306E+04
5.773
MT
(N.m)
1.786E03
1.718E01
98.96 2.168E+01
99.99
Mfy
(N.m)
3.378E+04
3.204E+04
5.452 3.263E+04
3.539
Mfz
(N.m)
5.050E+02
5.147E+02
1.891 7.655E+02
34.033
PM2: 3.0
NR (NR)
2.039E+03
1.910E+03
7.358 2.641E+03 22.791
M3161 N1245
Vy (NR)
1.374E+03
1.339E+03
2.625 1.374E+03 - 29.711
Vz
(NR)
3.153E+04
3.071E+04
2.659 3.017E+04 4.493
MT
(N.m)
1.543E03
1.540E01
98.99 2.572E+01
99.99
Mfy
(N.m)
4.663E+04
4.559E+04
2.271 4.51E+04 3.363
Mfz
(N.m)
1.914E+03
1.869E+02
2.396 2.742E+03 30.190
PM3: 4.5
NR (NR)
2.039E+03
1.909E+03
6.775 2.641E+03 22.799
M3163 N1530
Vy (NR)
1.338E+03
1.298E+03
3.049 1.902E+03 29.670
Vz
(NR)
3.110E+04
3.023E+04
2.843 2.969E+04 4.734
MT
(N.m)
1.543E03
1.237E01
97.75 2.573E+01 99.99
Mfy
(N.m)
1.442E+03
1.398E+03
3.095 4.440E+04 0.110
Mfz
(N.m)
1.253E+02
1.298E+02
3.464 1.904E+02 34.174
PM4: 6.0
NR (NR)
5.778E+03
5.442E+02
6.158 7.775E+02 25.689
2
ème
floor
Vy (NR)
7.731E+03
7.402E+02
4.444 1.087E+03 28.875
M3165 N1815
Vz (NR)
2.054E+04
2.008E+04
2.267 1.977E+04 3.887
MT
(N.m)
9.172E04
8.407E02
98.909 2.670E+01 100.00
Mfy
(N.m)
1.776E+04
1.789E+04
0.745 1.797E+04 1.176
Mfz
(N.m)
8.696E+02
8.388E+02
3.663 1.284E+03 32.273
PM5: 7.5
NR (NR)
5.775E+02
5.440E+02
6.153 7.771E+02 25.689
M3167 N2106
Vy (NR)
7.058E+02
6.704E+02
5.279 9.968E+02 29.191
Vz
(NR)
1.964E+04
1.916E+04
2.466 1.891E+04 3.848
MT
(N.m)
9.165E04
3.736E02
97.547 2.669E+01 100.00
Mfy
(N.m)
1.254E+04
1.204E+04
4.099 1.211E+04 3.566
Mfz
(N.m)
2.431E+02
2.490E+02
2.369 3.816E+02 36.299
Code_Aster
®
Version
8.0
Titrate:
SDLX301 - Dissymmetrical ship subjected to a seismic excitation
Date:
26/09/05
Author (S):
F.VOLDOIRE, E.LECLERE, P. LACLERGUE, Y. PONS
Key
:
V2.05.301-B
Page:
16/16
Manual of Validation
V2.05 booklet: Linear dynamics of the assembled structures
HT-66/05/005/A
5
Summary of the results
Comparison with CASTEM 2000:
The variations on the Eigen frequencies calculated with CASTEM 2000 and Aster are lower than 1,4%.
The double mode was separate in two close modes (6 and 7) of which one is a dominating mode
according to the axis y (mode 6) and the other according to X (mode 7); the variation on the effective modal masses (in %)
very high according to X for mode 6 and according to there for mode 7, is not relevant being given the weak one
weight of these directions in the modes considered.
The variations obtained on calculation with the spectral method, for displacements remain
broadly lower than 8%, the variations on the reactions to the embedding of the columns B and E are
broadly lower than 11% (without taking account of the moment of reaction according to Z), and variations on
generalized efforts remain overall lower than 7% (without taking account of the torque).
Strong tolerances are allowed for certain computed fields whose values are of several
weaker orders of magnitude.
Comparison with the SAMCEF software:
The method of resolution adopted in the SAMCEF software is based on the method known as of the ground node.
This method consists in binding to a single node all the nodes which are interdependent of the foundation. It
node is affected of a mass in translation which is worth 1000 times the mass of the structure.
displacements deferred in the tables are not corrected effects of residual masses which
are results also available.
The variations on the Eigen frequencies calculated with the SAMCEF software and Aster are lower than 3,2%.
type of element of hull used (deformable or not with the sharp effort) influence the result, it goes from there from
even of the smoothness of the mesh of the floors. Variations on the Eigen frequencies going until
10% were observed by initially taking a coarser mesh for the floors, made up
of 345 nodes and 516 elements including 108 elements of right beam of Timoshenko and 408 elements
hull DKT. Modes 6 and 7 represent a mode doubles of which percentage of modal mass
effective 4% in the direction X and 2% in direction Y. do not exceed.
Variations obtained on calculation with the spectral method, for displacements in the direction
excitation remain overall lower than 10,5%. For the reactions to the embedding of
column B, these variations are overall lower than 30%. They reach 80% for the column E,
however for the reaction according to axis X and the moment according to the axis y, they remain lower than 18%.
reaction of torsion of the columns is not null. Variations in connection with the efforts generalized in
direction of the excitation remain overall lower than 26%. On the other hand, a different coupling
between the directions of the excitation introduces important variations on the efforts into the directions
transverses with the excitation.
Strong tolerances are allowed for certain computed fields whose values are of several
weaker orders of magnitude.
Note:
·
the form of the function describing the spectrum in displacement strongly depends on
Eigen frequencies F
I
for which the peaks of displacement are given. In
consequence, a shift of the calculated Eigen frequencies disturbs the answer
seismic in input of the data and an effective comparison of calculations does not allow,
·
the results of generalized efforts are expressed in the local reference mark of the beams and
corrected static effects.