v2.02.159 SDLL159 – Calcul sismique de la tuyauterie BM3#

Résumé:

Ce test a pour objectif principal de valider l’implémentation de différentes méthodes de combinaison appliquées à un calcul sismique par méthode spectrale, sur une section de tuyauterie (COMB_SISM_MODAL).

Les méthodes évaluées sur cette même configuration sont les suivantes :

  • Combinaisons modales : SRSS, ABS, CQC, NRC_DSA, NRC_GROUPING, NRC_TEN_PERCENT, ENVELOPPE.

  • Combinaisons directionnelles : COMB_DIRECTION = QUAD, ABS.

  • Cumul des réponses d’appui testées : CUMUL_INTRA / CUMUL_INTER = LINE / QUAD / ABS.

Ce test a été proposé par la NRC pour valider le dimensionnement sismique des installations nucléaires.

Modélisation#

Caractéristiques de la modélisation#

Deux types de modélisations :

  • modélisation POU_D_T pour les sections droites et pour les sections courbes

  • modélisation DIS_TR pour les appuis

L’analyse modale relève 29 premiers modes inférieurs à la fréquence de coupure (33 Hz).

Douze analyses spectrales sont réalisées :

N° Analyse

Combinaison modale

Combinaison directionnelle

Combinaison intra-groupe

Combinaison inter-groupe

1

NRC_GROUPING

QUAD

ABS

QUAD

2

NRC_GROUPING

QUAD

QUAD

QUAD

3

SRSS

QUAD

QUAD

QUAD

4

ABS

ABS

ABS

QUAD

5

NRC_DSA

QUAD

ABS

QUAD

6

NRC_GROUPING

QUAD

QUAD

QUAD

7

CQC

QUAD

LINE

QUAD

8

CQC

QUAD

ABS

QUAD

9

CQC

QUAD

QUAD

QUAD

10

CQC

QUAD

ABS

ABS

11

NRC_TEN_PERCENT

QUAD

QUAD

QUAD

12

NRC_GROUPING

QUAD

ABS

QUAD

Grandeurs testées et résultats#

Les grandeurs testées sont les fréquences propres des 29 premiers modes et les réactions aux appuis de la structure. Les tests utilisent comme références les valeurs issues du logiciel Caltuy.

Modes propres

Référence Fréquences (Hz)

Tolérance Code_Aster (%)

1

2.90

0.2

2

4.41

0.2

3

4.79

0.2

4

4.97

0.2

5

6.82

0.2

6

7.35

0.2

7

7.73

0.2

8

10.62

0.2

9

10.92

0.2

10

11.29

0.2

11

11.50

0.2

12

13.81

0.2

13

13.94

0.2

14

14.02

0.2

15

16.18

0.2

16

17.69

0.2

17

18.11

0.2

18

18.64

0.2

19

20.45

0.2

20

20.88

0.2

21

21.33

0.2

22

23.01

0.2

23

23.59

0.2

24

24.94

0.2

25

26.27

0.2

26

27.24

0.2

27

30.90

0.2

28

32.16

0.2

29

33.37

0.2

Nœuds

Efforts

Référence calcul 1 (F:N, M:N.m)

Tolérance Code_Aster calcul 1 (%)

1

\(\mathit{FX}\)

619

5

1

\(\mathit{FY}\)

362

5

1

\(\mathit{FZ}\)

235

5

1

\(\mathit{MX}\)

1863

5

1

\(\mathit{MY}\)

221

5

1

\(\mathit{MZ}\)

608

5

31

\(\mathit{FX}\)

190

5

31

\(\mathit{FY}\)

363

5

31

\(\mathit{FZ}\)

503

5

31

\(\mathit{MX}\)

930

5

31

\(\mathit{MY}\)

93

5

31

\(\mathit{MZ}\)

293

5

38

\(\mathit{FX}\)

1128

5

38

\(\mathit{FY}\)

1030

5

38

\(\mathit{FZ}\)

629

5

38

\(\mathit{MX}\)

636

5

38

\(\mathit{MY}\)

927

5

38

\(\mathit{MZ}\)

1510

5

4

\(\mathit{FX}\)

565

5

4

\(\mathit{FY}\)

977

5

7

\(\mathit{FY}\)

1330

5

11

\(\mathit{FY}\)

1331

5

11

\(\mathit{FZ}\)

1077

5

15

\(\mathit{FX}\)

3492

5

17

\(\mathit{FY}\)

1002

5

17

\(\mathit{FZ}\)

721

5

23

\(\mathit{FX}\)

1693

5

23

\(\mathit{FY}\)

1602

5

36

\(\mathit{FY}\)

1707

5

36

\(\mathit{FZ}\)

1408

5

Nœuds

Efforts

Référence calcul 2 (F:N, M:N.m)

Tolérance Code_Aster calcul 2 (%)

1

\(\mathit{FX}\)

409

5

1

\(\mathit{FY}\)

258

5

1

\(\mathit{FZ}\)

168

5

1

\(\mathit{MX}\)

130

5

1

\(\mathit{MY}\)

157

5

1

\(\mathit{MZ}\)

403

5

31

\(\mathit{FX}\)

134

5

31

\(\mathit{FY}\)

258

5

31

\(\mathit{FZ}\)

339

5

31

\(\mathit{MX}\)

609

5

31

\(\mathit{MY}\)

63

5

31

\(\mathit{MZ}\)

201

5

38

\(\mathit{FX}\)

774

5

38

\(\mathit{FY}\)

933

5

38

\(\mathit{FZ}\)

567

5

38

\(\mathit{MX}\)

445

5

38

\(\mathit{MY}\)

814

5

38

\(\mathit{MZ}\)

1338

5

4

\(\mathit{FX}\)

399

5

4

\(\mathit{FZ}\)

741

5

7

\(\mathit{FY}\)

919

5

11

\(\mathit{FY}\)

1121

5

11

\(\mathit{FZ}\)

825

5

15

\(\mathit{FX}\)

2468

5

17

\(\mathit{FY}\)

686

5

17

\(\mathit{FZ}\)

533

5

23

\(\mathit{FX}\)

1185

5

23

\(\mathit{FY}\)

1118

5

36

\(\mathit{FY}\)

1249

5

36

\(\mathit{FZ}\)

1221

5

Nœuds

Efforts

Référence calcul 3 (F:N, M:N.m)

Tolérance Code_Aster calcul 3 (%)

1

\(\mathit{FX}\)

299

5

1

\(\mathit{FY}\)

233

5

1

\(\mathit{FZ}\)

132

5

1

\(\mathit{MX}\)

101

5

1

\(\mathit{MY}\)

131

5

1

\(\mathit{MZ}\)

318

5

31

\(\mathit{FX}\)

126

5

31

\(\mathit{FY}\)

224

5

31

\(\mathit{FZ}\)

308

5

31

\(\mathit{MX}\)

569

5

31

\(\mathit{MY}\)

59

5

31

\(\mathit{MZ}\)

193

5

38

\(\mathit{FX}\)

515

5

38

\(\mathit{FY}\)

809

5

38

\(\mathit{FZ}\)

525

5

38

\(\mathit{MX}\)

328

5

38

\(\mathit{MY}\)

741

5

38

\(\mathit{MZ}\)

1162

5

4

\(\mathit{FX}\)

324

5

4

\(\mathit{FZ}\)

632

5

7

\(\mathit{FY}\)

915

5

11

\(\mathit{FY}\)

1115

5

11

\(\mathit{FZ}\)

764

5

15

\(\mathit{FX}\)

1969

5

17

\(\mathit{FY}\)

639

5

17

\(\mathit{FZ}\)

433

5

23

\(\mathit{FX}\)

936

5

23

\(\mathit{FY}\)

827

5

36

\(\mathit{FY}\)

914

5

36

\(\mathit{FZ}\)

1110

5

Nœuds

Efforts

Référence calcul 4 (F:N, M:N.m)

Tolérance Code_Aster calcul 4 (%)

1

\(\mathit{FX}\)

1505

5

1

\(\mathit{FY}\)

1161

5

1

\(\mathit{FZ}\)

844

5

1

\(\mathit{MX}\)

636

5

1

\(\mathit{MY}\)

683

5

1

\(\mathit{MZ}\)

1629

5

31

\(\mathit{FX}\)

623

5

31

\(\mathit{FY}\)

1192

5

31

\(\mathit{FZ}\)

1730

5

31

\(\mathit{MX}\)

2853

5

31

\(\mathit{MY}\)

325

5

31

\(\mathit{MZ}\)

987

5

38

\(\mathit{FX}\)

3372

5

38

\(\mathit{FY}\)

2424

5

38

\(\mathit{FZ}\)

1929

5

38

\(\mathit{MX}\)

1546

5

38

\(\mathit{MY}\)

2926

5

38

\(\mathit{MZ}\)

3786

5

4

\(\mathit{FX}\)

1774

5

4

\(\mathit{FZ}\)

3007

5

7

\(\mathit{FY}\)

2975

5

11

\(\mathit{FY}\)

3204

5

11

\(\mathit{FZ}\)

3009

5

15

\(\mathit{FX}\)

9900

5

17

\(\mathit{FY}\)

2885

5

17

\(\mathit{FZ}\)

2801

5

23

\(\mathit{FX}\)

5024

5

23

\(\mathit{FY}\)

4682

5

36

\(\mathit{FY}\)

4799

5

36

\(\mathit{FZ}\)

5804

5

Nœuds

Efforts

Référence calcul 5 (F:N, M:N.m)

Tolérance Code_Aster calcul 5 (%)

1

\(\mathit{FX}\)

537

5

1

\(\mathit{FY}\)

342

5

1

\(\mathit{FZ}\)

199

5

1

\(\mathit{MX}\)

156

5

1

\(\mathit{MY}\)

188

5

1

\(\mathit{MZ}\)

542

5

31

\(\mathit{FX}\)

184

5

31

\(\mathit{FY}\)

323

5

31

\(\mathit{FZ}\)

473

5

31

\(\mathit{MX}\)

895

5

31

\(\mathit{MY}\)

89

5

31

\(\mathit{MZ}\)

289

5

38

\(\mathit{FX}\)

901

5

38

\(\mathit{FY}\)

895

5

38

\(\mathit{FZ}\)

588

5

38

\(\mathit{MX}\)

494

5

38

\(\mathit{MY}\)

852

5

38

\(\mathit{MZ}\)

1317

5

4

\(\mathit{FX}\)

477

5

4

\(\mathit{FZ}\)

849

5

7

\(\mathit{FY}\)

1337

5

11

\(\mathit{FY}\)

1359

5

11

\(\mathit{FZ}\)

1032

5

15

\(\mathit{FX}\)

2897

5

17

\(\mathit{FY}\)

953

5

17

\(\mathit{FZ}\)

610

5

23

\(\mathit{FX}\)

1423

5

23

\(\mathit{FY}\)

1258

5

36

\(\mathit{FY}\)

1310

5

36

\(\mathit{FZ}\)

1309

5

Nœuds

Efforts

Référence calcul 6 (F:N, M:N.m)

Tolérance Code_Aster calcul 6 (%)

1

\(\mathit{FX}\)

355

5

1

\(\mathit{FY}\)

245

5

1

\(\mathit{FZ}\)

146

5

1

\(\mathit{MX}\)

112

5

1

\(\mathit{MY}\)

136

5

1

\(\mathit{MZ}\)

359

5

31

\(\mathit{FX}\)

130

5

31

\(\mathit{FY}\)

231

5

31

\(\mathit{FZ}\)

317

5

31

\(\mathit{MX}\)

583

5

31

\(\mathit{MY}\)

61

5

31

\(\mathit{MZ}\)

198

5

38

\(\mathit{FX}\)

618

5

38

\(\mathit{FY}\)

821

5

38

\(\mathit{FZ}\)

541

5

38

\(\mathit{MX}\)

349

5

38

\(\mathit{MY}\)

769

5

38

\(\mathit{MZ}\)

1181

5

4

\(\mathit{FX}\)

338

5

4

\(\mathit{FZ}\)

663

5

7

\(\mathit{FY}\)

926

5

11

\(\mathit{FY}\)

1142

5

11

\(\mathit{FZ}\)

802

5

15

\(\mathit{FX}\)

2067

5

17

\(\mathit{FY}\)

649

5

17

\(\mathit{FZ}\)

461

5

23

\(\mathit{FX}\)

1003

5

23

\(\mathit{FY}\)

882

5

36

\(\mathit{FY}\)

969

5

36

\(\mathit{FZ}\)

1149

5

Nœuds

Efforts

Référence calcul 7 (F:N, M:N.m)

Tolérance Code_Aster calcul 7 (%)

1

\(\mathit{FX}\)

272

5

1

\(\mathit{FY}\)

163

5

1

\(\mathit{FZ}\)

125

5

1

\(\mathit{MX}\)

91

5

1

\(\mathit{MY}\)

115

5

1

\(\mathit{MZ}\)

245

5

31

\(\mathit{FX}\)

147

5

31

\(\mathit{FY}\)

280

5

31

\(\mathit{FZ}\)

407

5

31

\(\mathit{MX}\)

773

5

31

\(\mathit{MY}\)

74

5

31

\(\mathit{MZ}\)

237

5

38

\(\mathit{FX}\)

704

5

38

\(\mathit{FY}\)

798

5

38

\(\mathit{FZ}\)

546

5

38

\(\mathit{MX}\)

439

5

38

\(\mathit{MY}\)

780

5

38

\(\mathit{MZ}\)

1142

5

4

\(\mathit{FX}\)

266

5

4

\(\mathit{FZ}\)

546

5

7

\(\mathit{FY}\)

551

5

11

\(\mathit{FY}\)

1239

5

11

\(\mathit{FZ}\)

637

5

15

\(\mathit{FX}\)

2007

5

17

\(\mathit{FY}\)

381

5

17

\(\mathit{FZ}\)

399

5

23

\(\mathit{FX}\)

1007

5

23

\(\mathit{FY}\)

1023

5

36

\(\mathit{FY}\)

1133

5

36

\(\mathit{FZ}\)

1177

5

Nœuds

Efforts

Référence calcul 8 (F:N, M:N.m)

Tolérance Code_Aster calcul 8 (%)

1

\(\mathit{FX}\)

537

5

1

\(\mathit{FY}\)

342

5

1

\(\mathit{FZ}\)

199

5

1

\(\mathit{MX}\)

156

5

1

\(\mathit{MY}\)

188

5

1

\(\mathit{MZ}\)

542

5

31

\(\mathit{FX}\)

184

5

31

\(\mathit{FY}\)

323

5

31

\(\mathit{FZ}\)

472

5

31

\(\mathit{MX}\)

895

5

31

\(\mathit{MY}\)

89

5

31

\(\mathit{MZ}\)

288

5

38

\(\mathit{FX}\)

900

5

38

\(\mathit{FY}\)

895

5

38

\(\mathit{FZ}\)

588

5

38

\(\mathit{MX}\)

494

5

38

\(\mathit{MY}\)

852

5

38

\(\mathit{MZ}\)

1316

5

4

\(\mathit{FX}\)

477

5

4

\(\mathit{FZ}\)

849

5

7

\(\mathit{FY}\)

1337

5

11

\(\mathit{FY}\)

1359

5

11

\(\mathit{FZ}\)

1032

5

15

\(\mathit{FX}\)

2896

5

17

\(\mathit{FY}\)

952

5

17

\(\mathit{FZ}\)

609

5

23

\(\mathit{FX}\)

1423

5

23

\(\mathit{FY}\)

1258

5

36

\(\mathit{FY}\)

1310

5

36

\(\mathit{FZ}\)

1309

5

Nœuds

Efforts

Référence calcul 9 (F:N, M:N.m)

Tolérance Code_Aster calcul 9 (%)

1

\(\mathit{FX}\)

253

5

1

\(\mathit{FY}\)

228

5

1

\(\mathit{FZ}\)

130

5

1

\(\mathit{MX}\)

99

5

1

\(\mathit{MY}\)

130

5

1

\(\mathit{MZ}\)

286

5

31

\(\mathit{FX}\)

128

5

31

\(\mathit{FY}\)

227

5

31

\(\mathit{FZ}\)

309

5

31

\(\mathit{MX}\)

571

5

31

\(\mathit{MY}\)

60

5

31

\(\mathit{MZ}\)

195

5

38

\(\mathit{FX}\)

581

5

38

\(\mathit{FY}\)

817

5

38

\(\mathit{FZ}\)

531

5

38

\(\mathit{MX}\)

332

5

38

\(\mathit{MY}\)

754

5

38

\(\mathit{MZ}\)

1173

5

4

\(\mathit{FX}\)

320

5

4

\(\mathit{FZ}\)

620

5

7

\(\mathit{FY}\)

917

5

11

\(\mathit{FY}\)

1123

5

11

\(\mathit{FZ}\)

753

5

15

\(\mathit{FX}\)

2014

5

17

\(\mathit{FY}\)

642

5

17

\(\mathit{FZ}\)

429

5

23

\(\mathit{FX}\)

974

5

23

\(\mathit{FY}\)

840

5

36

\(\mathit{FY}\)

929

5

36

\(\mathit{FZ}\)

1128

5

Nœuds

Efforts

Référence calcul 10 (F:N, M:N.m)

Tolérance Code_Aster calcul 10 (%)

1

\(\mathit{FX}\)

407

5

1

\(\mathit{FY}\)

344

5

1

\(\mathit{FZ}\)

190

5

1

\(\mathit{MX}\)

148

5

1

\(\mathit{MY}\)

191

5

1

\(\mathit{MZ}\)

454

5

31

\(\mathit{FX}\)

198

5

31

\(\mathit{FY}\)

345

5

31

\(\mathit{FZ}\)

499

5

31

\(\mathit{MX}\)

916

5

31

\(\mathit{MY}\)

97

5

31

\(\mathit{MZ}\)

315

5

38

\(\mathit{FX}\)

905

5

38

\(\mathit{FY}\)

981

5

38

\(\mathit{FZ}\)

616

5

38

\(\mathit{MX}\)

484

5

38

\(\mathit{MY}\)

899

5

38

\(\mathit{MZ}\)

1463

5

4

\(\mathit{FX}\)

489

5

4

\(\mathit{FZ}\)

828

5

7

\(\mathit{FY}\)

1400

5

11

\(\mathit{FY}\)

1405

5

11

\(\mathit{FZ}\)

997

5

15

\(\mathit{FX}\)

2968

5

17

\(\mathit{FY}\)

1010

5

17

\(\mathit{FZ}\)

652

5

23

\(\mathit{FX}\)

1465

5

23

\(\mathit{FY}\)

1316

5

36

\(\mathit{FY}\)

1346

5

36

\(\mathit{FZ}\)

1455

5

Nœuds

Efforts

Référence calcul 11 (F:N, M:N.m)

Tolérance Code_Aster calcul 11 (%)

1

\(\mathit{FX}\)

411

5

1

\(\mathit{FY}\)

263

5

1

\(\mathit{FZ}\)

167

5

1

\(\mathit{MX}\)

131

5

1

\(\mathit{MY}\)

158

5

1

\(\mathit{MZ}\)

407

5

31

\(\mathit{FX}\)

135

5

31

\(\mathit{FY}\)

257

5

31

\(\mathit{FZ}\)

349

5

31

\(\mathit{MX}\)

627

5

31

\(\mathit{MY}\)

65

5

31

\(\mathit{MZ}\)

203

5

38

\(\mathit{FX}\)

768

5

38

\(\mathit{FY}\)

934

5

38

\(\mathit{FZ}\)

568

5

38

\(\mathit{MX}\)

442

5

38

\(\mathit{MY}\)

816

5

38

\(\mathit{MZ}\)

1339

5

4

\(\mathit{FX}\)

401

5

4

\(\mathit{FZ}\)

797

5

7

\(\mathit{FY}\)

953

5

11

\(\mathit{FY}\)

1214

5

11

\(\mathit{FZ}\)

939

5

15

\(\mathit{FX}\)

2479

5

17

\(\mathit{FY}\)

695

5

17

\(\mathit{FZ}\)

572

5

23

\(\mathit{FX}\)

1189

5

23

\(\mathit{FY}\)

1118

5

36

\(\mathit{FY}\)

1239

5

36

\(\mathit{FZ}\)

1296

5

Nœuds

Efforts

Référence calcul 11 (F:N, M:N.m)

Tolérance Code_Aster calcul 11 (%)

1

\(\mathit{FX}\)

548

5

1

\(\mathit{FY}\)

250

5

1

\(\mathit{FZ}\)

167

5

1

\(\mathit{MX}\)

125

5

1

\(\mathit{MY}\)

150

5

1

\(\mathit{MZ}\)

490

5

31

\(\mathit{FX}\)

167

5

31

\(\mathit{FY}\)

328

5

31

\(\mathit{FZ}\)

464

5

31

\(\mathit{MX}\)

858

5

31

\(\mathit{MY}\)

84

5

31

\(\mathit{MZ}\)

261

5

38

\(\mathit{FX}\)

1019

5

38

\(\mathit{FY}\)

1015

5

38

\(\mathit{FZ}\)

641

5

38

\(\mathit{MX}\)

609

5

38

\(\mathit{MY}\)

930

5

38

\(\mathit{MZ}\)

1446

5

4

\(\mathit{FX}\)

365

5

4

\(\mathit{FZ}\)

685

5

7

\(\mathit{FY}\)

693

5

11

\(\mathit{FY}\)

1279

5

11

\(\mathit{FZ}\)

748

5

15

\(\mathit{FX}\)

2733

5

17

\(\mathit{FY}\)

561

5

17

\(\mathit{FZ}\)

542

5

23

\(\mathit{FX}\)

1363

5

23

\(\mathit{FY}\)

1461

5

36

\(\mathit{FY}\)

1617

5

36

\(\mathit{FZ}\)

1387

5

Synthèse des résultats#

Les résultats obtenus sont globalement satisfaisants. On retrouve les fréquences du logiciel Caltuy.

De plus, les résultats sur les réactions nodales issues du calcul sont proches des résultats de référence à moins de 5%.