Convergence of Linear Triangle Shell Elements

You will find here the results for linear triangle shell element with different mesh refinements:

8 x 8 elements
 

Mode

Reference frequency [Hz]

Linear triangle shell (8 x 8 elements)

Frequency [Hz]

Error [%]

1

2.377

2.441

2.698

2

5.942

6.337

6.653

3

5.942

6.361

7.048

4

9.507

10.559

11.064

5

11.884

13.540

13.930

6

11.884

13.621

14.615

7

15.449

18.092

17.109

8

15.449

18.262

18.206


16 x 16 elements
 

Mode

Reference frequency [Hz]

Linear triangle shell (16 x 16 elements)

Frequency [Hz]

Error [%]

1

2.377

2.393

0.653

2

5.942

6.037

1.605

3

5.942

6.047

1.771

4

9.507

9.760

2.661

5

11.884

12.291

3.423

6

11.884

12.292

3.436

7

15.449

16.077

4.062

8

15.449

16.168

4.654


32 x 32 elements
 

Mode

Reference frequency [Hz]

Linear triangle shell (32 x 32 elements)

Frequency [Hz]

Error [%]

1

2.377

2.381

0.148

2

5.942

5.966

0.396

3

5.942

5.966

0.401

4

9.507

9.568

0.638

5

11.884

11.980

0.806

6

11.884

11.980

0.809

7

15.449

15.609

1.034

8

15.449

15.609

1.040


128 x 128 elements
 

Mode

Reference frequency [Hz]

Linear triangle shell (128 x 128 elements)

Frequency [Hz]

Error [%]

1

2.377

2.377

0.009

2

5.942

5.942

0.004

3

5.942

5.942

0.004

4

9.507

9.508

0.010

5

11.884

11.885

0.012

6

11.884

11.886

0.013

7

15.449

15.452

0.016

8

15.449

15.452

0.017


Reference:

BENCHMARK newsletter, Report No. E1261/R002, February 1989, p.21, NAFEMS - Glasgow