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Table 6 The first three linear frequency parameters of clamped FG Ti-6AL-4 V/Aluminum oxide isosceles triangular plate

From: Linear and non-linear vibration analysis of moderately thick isosceles triangular FGPs using a triangular finite p-element

β

h/b

Mode

n

ceramic

0.1

0.5

1

2

5

10

metal

30°

0.05

ΩL1

4.8290

4.6023

4.0178

3.6640

3.3821

3.1477

2.9915

2.5775

ΩL2

7.5568

7.2037

6.2958

5.7453

5.3021

4.9231

4.6728

4.0305

ΩL3

10.275

9.7962

8.5595

7.8050

7.1942

6.6742

6.3363

5.4770

0.1

ΩL1

8.7224

8.3224

7.2851

6.6421

6.1042

5.6259

5.3293

4.6364

ΩL2

13.162

12.565

11.018

10.053

9.2288

8.4668

8.0039

6.9847

ΩL3

17.397

16.613

14.569

13.281

12.167

11.137

10.527

9.2205

0.15

ΩL1

11.497

10.982

9.6405

8.7886

8.0410

7.3389

6.9297

6.0858

ΩL2

16.783

16.041

14.109

12.873

11.761

10.679

10.060

8.8657

ΩL3

21.659

20.709

18.216

16.602

15.134

13.708

12.913

11.426

60°

0.05

ΩL1

8.6182

8.2172

7.1865

6.5606

6.0523

5.6101

5.3205

4.5939

ΩL2

15.743

15.016

13.139

11.986

11.033

10.193

9.6614

8.3781

ΩL3

15.743

15.017

13.149

12.006

11.058

10.209

9.6685

8.3781

0.1

ΩL1

14.679

14.018

12.303

11.225

10.290

9.4121

8.8890

7.7795

ΩL2

25.055

23.944

21.047

19.198

17.544

15.951

15.037

13.242

ΩL3

25.055

23.944

21.049

19.201

17.547

15.951

15.037

13.242

0.15

ΩL1

18.378

17.573

15.468

14.107

12.863

11.641

10.959

9.6939

ΩL2

29.880

28.591

25.201

22.974

20.887

18.802

17.675

15.721

ΩL3

29.880

28.591

25.209

22.991

20.911

18.818

17.682

15.721

90°

0.05

ΩL1

15.453

14.743

12.911

11.784

10.845

10.002

9.4702

8.2194

ΩL2

24.582

23.465

20.582

18.795

17.269

15.851

14.981

13.051

ΩL3

29.577

28.236

24.742

22.547

20.676

18.974

17.953

15.691

0.1

ΩL1

24.232

23.165

20.377

18.586

16.965

15.385

14.493

12.794

ΩL2

36.137

34.565

30.445

27.765

25.284

22.822

21.468

19.038

ΩL3

42.422

40.584

35.747

32.574

29.626

26.711

25.127

22.333

0.15

ΩL1

28.615

27.392

24.165

22.028

19.998

17.948

16.857

15.037

ΩL2

41.198

39.447

34.821

31.734

28.767

25.752

24.171

21.619

ΩL3

47.715

45.694

40.348

36.768

33.310

29.790

27.951

25.028

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