You will find here the results for parabolic quadrangle
shell element with different mesh refinements:
|
4 x 4 elements
Mode |
Reference frequency [Hz] |
Parabolic quadrangle shell (4 x 4
elements) |
|
Frequency [Hz] |
Error [%] |
1 |
2.377 |
2.393 |
0.672 |
2 |
5.942 |
6.248 |
5.157 |
3 |
5.942 |
6.248 |
5.157 |
4 |
9.507 |
12.851 |
35.173 |
5 |
11.884 |
13.609 |
14.519 |
6 |
11.884 |
13.609 |
14.519 |
7 |
15.449 |
23.443 |
51.741 |
8 |
15.449 |
23.443 |
51.741 |
|
|
8 x 8 elements
Mode |
Reference frequency [Hz] |
Parabolic quadrangle shell (8 x 8
elements) |
|
Frequency [Hz] |
Error [%] |
1 |
2.377 |
2.377 |
0.017 |
2 |
5.942 |
5.945 |
0.053 |
3 |
5.942 |
5.945 |
0.053 |
4 |
9.507 |
9.543 |
0.377 |
5 |
11.884 |
11.925 |
0.342 |
6 |
11.884 |
11.925 |
0.342 |
7 |
15.449 |
15.662 |
1.375 |
8 |
15.449 |
15.662 |
1.375 |
|
|
32 x 32 elements
Mode |
Reference frequency [Hz] |
Parabolic quadrangle shell (32 x 32
elements) |
|
Frequency [Hz] |
Error Reference [%] |
1 |
2.377 |
2.377 |
0.021 |
2 |
5.942 |
5.940 |
0.027 |
3 |
5.942 |
5.940 |
0.027 |
4 |
9.507 |
9.503 |
0.039 |
5 |
11.884 |
11.878 |
0.049 |
6 |
11.884 |
11.878 |
0.049 |
7 |
15.449 |
15.439 |
0.062 |
8 |
15.449 |
15.439 |
0.062 |
|
|
64 x 64 elements
Mode |
Reference frequency [Hz] |
Parabolic quadrangle shell (64 x 64
elements) |
|
Frequency [Hz] |
Error [%] |
1 |
2.377 |
2.377 |
0.021 |
2 |
5.942 |
5.940 |
0.026 |
3 |
5.942 |
5.940 |
0.026 |
4 |
9.507 |
9.503 |
0.038 |
5 |
11.884 |
11.878 |
0.049 |
6 |
11.884 |
11.878 |
0.049 |
7 |
15.449 |
15.440 |
0.061 |
8 |
15.449 |
15.440 |
0.061 |
|
|
|
Reference:
BENCHMARK newsletter, Report No. E1261/R002, February
1989, p.21, NAFEMS - Glasgow |
|