Table 5 The first four modal frequencies with different power-law parameters kx and ky (unit: Hz).

From: An isogeometric modeling and vibro-acoustic characteristics analysis of a double panel-acoustic cavity coupling system with in-plane functionally graded materials

Mode

ky = 0

ky = 1

ky = 2

ky = 4

ky = 6

ky = 8

kx = 0

 1

17.115

23.951

28.295

33.489

35.895

37.027

 2

24.507

34.135

40.368

47.803

51.267

52.887

 3

24.710

34.563

41.040

48.912

52.647

54.405

 4

30.623

40.265

46.878

55.307

59.406

61.278

kx = 1

 1

23.556

29.535

32.967

36.398

37.739

38.320

 2

33.211

41.553

46.533

51.558

53.512

54.346

 3

35.316

43.387

48.156

53.082

55.090

55.970

 4

41.196

49.502

54.477

59.666

61.766

62.653

kx = 2

 1

27.873

32.932

35.490

37.726

38.517

38.846

 2

38.006

45.410

49.438

53.062

54.343

54.868

 3

41.768

47.977

51.397

54.706

55.981

56.526

 4

49.224

55.482

58.694

61.659

62.767

63.223

kx = 4

 1

33.480

36.567

37.838

38.799

39.112

39.240

 2

44.420

49.850

52.366

54.362

55.019

55.283

 3

48.034

52.041

54.147

56.017

56.683

56.959

 4

58.243

60.916

62.114

63.130

63.486

63.630

kx = 6

 1

36.389

38.071

38.702

39.160

39.307

39.367

 2

48.412

52.151

53.724

54.912

55.297

55.451

 3

50.874

53.938

55.389

56.572

56.972

57.135

 4

61.597

62.683

63.165

63.559

63.693

63.747

kx = 8

 1

37.776

38.712

39.057

39.305

39.385

39.417

 2

50.854

53.409

54.433

55.193

55.438

55.537

 3

52.738

55.071

56.081

56.863

57.121

57.225

 4

62.828

63.321

63.536

63.706

63.764

63.787