Table 9 Convergence of the first eight frequencies (Hz) for a fully clamped isotropic circular plate-cavity coupled system.

From: Isogeometric modeling and vibroacoustic analysis of a symmetrically laminated thin plate coupled with an acoustic cavity

Element number Np

Mode order

Time (s)

1

2

3

4

5

6

7

8

Quadratic NURBS, p = q = 2

8 × 8 × 8

11.686

19.138

19.138

31.170

33.812

37.576

48.614

48.614

0.325

10 × 10 × 10

11.640

18.809

18.809

30.743

32.324

36.373

46.941

46.941

1.337

12 × 12 × 12

11.616

18.641

18.641

30.525

31.585

35.782

46.044

46.044

4.239

14 × 14 × 14

11.602

18.544

18.544

30.399

31.161

35.446

45.506

45.506

16.692

16 × 16 × 16

11.593

18.482

18.482

30.318

30.894

35.235

45.157

45.157

61.495

18 × 18 × 18

11.587

18.440

18.440

30.264

30.715

35.093

44.919

44.919

138.586

20 × 20 × 20

11.582

18.410

18.410

30.226

30.588

34.994

44.748

44.748

304.317

Cubic NURBS, p = q = 3

8 × 8 × 8

11.565

18.297

18.297

30.097

30.161

34.680

44.278

44.278

0.688

10 × 10 × 10

11.564

18.290

18.290

30.076

30.099

34.617

44.112

44.112

2.340

12 × 12 × 12

11.564

18.288

18.288

30.070

30.080

34.598

44.062

44.062

9.662

14 × 14 × 14

11.564

18.287

18.287

30.068

30.073

34.591

44.044

44.044

29.221

16 × 16 × 16

11.564

18.287

18.287

30.066

30.069

34.587

44.036

44.036

100.461

18 × 18 × 18

11.563

18.286

18.286

30.066

30.068

34.586

44.031

44.031

213.727

20 × 20 × 20

11.563

18.286

18.286

30.065

30.067

34.585

44.029

44.029

462.849

Quartic NURBS, p = q = 4

8 × 8 × 8

11.563

18.287

18.287

30.067

30.071

34.591

44.049

44.049

1.387

10 × 10 × 10

11.563

18.286

18.286

30.065

30.066

34.585

44.029

44.029

4.566

12 × 12 × 12

11.563

18.286

18.286

30.065

30.065

34.584

44.026

44.026

16.167

14 × 14 × 14

11.563

18.286

18.286

30.065

30.065

34.583

44.025

44.025

63.702

16 × 16 × 16

11.563

18.286

18.286

30.065

30.065

34.583

44.025

44.025

139.568

18 × 18 × 18

11.563

18.286

18.286

30.065

30.065

34.583

44.025

44.025

311.174

20 × 20 × 20

11.563

18.286

18.286

30.065

30.065

34.583

44.025

44.025

640.635

ISFM53

11.136

18.740

18.743

30.470

30.526

34.568

44.399

44.552

 

FEM53

11.570

18.310

18.315

30.110

30.156

34.677

44.163

44.165

 
Back to article page