You will find here the results for parabolic triangle shell element with different mesh refinements:
4 x 4 elements
|
Mode |
Reference frequency [Hz] |
Parabolic triangle shell (4 x 4 elements) |
|
|
|
|||
|
Frequency [Hz] |
Error [%] |
||
|
1 |
2.377 |
2.488 |
4.650 |
|
2 |
5.942 |
6.289 |
5.838 |
|
3 |
5.942 |
6.394 |
7.609 |
|
4 |
9.507 |
10.964 |
15.321 |
|
5 |
11.884 |
13.125 |
10.444 |
|
6 |
11.884 |
13.460 |
13.264 |
|
7 |
15.449 |
18.320 |
18.584 |
|
8 |
15.449 |
18.951 |
22.666 |
8 x 8 elements
|
Mode |
Reference frequency [Hz] |
Parabolic triangle shell (8 x 8 elements) |
|
|
|
|||
|
Frequency [Hz] |
Error [%] |
||
|
1 |
2.377 |
2.403 |
1.094 |
|
2 |
5.942 |
6.043 |
1.706 |
|
3 |
5.942 |
6.050 |
1.809 |
|
4 |
9.507 |
9.877 |
3.895 |
|
5 |
11.884 |
12.135 |
2.114 |
|
6 |
11.884 |
12.146 |
2.204 |
|
7 |
15.449 |
16.256 |
5.226 |
|
8 |
15.449 |
16.416 |
6.261 |
16 x 16 elements
|
Mode |
Reference frequency [Hz] |
Parabolic triangle shell (16 x 16 elements) |
|
|
|
|||
|
Frequency [Hz] |
Error [%] |
||
|
1 |
2.377 |
2.382 |
0.213 |
|
2 |
5.942 |
5.959 |
0.288 |
|
3 |
5.942 |
5.964 |
0.372 |
|
4 |
9.507 |
9.589 |
0.857 |
|
5 |
11.884 |
11.922 |
0.321 |
|
6 |
11.884 |
11.923 |
0.327 |
|
7 |
15.449 |
15.603 |
0.996 |
|
8 |
15.449 |
15.655 |
1.331 |
64 x 64 elements
|
Mode |
Reference frequency [Hz] |
Parabolic triangle shell (64 x 64 elements) |
|
|
|
|||
|
Frequency [Hz] |
Error [%] |
||
|
1 |
2.377 |
2.377 |
0.019 |
|
2 |
5.942 |
5.940 |
0.026 |
|
3 |
5.942 |
5.940 |
0.026 |
|
4 |
9.507 |
9.504 |
0.030 |
|
5 |
11.884 |
11.877 |
0.056 |
|
6 |
11.884 |
11.877 |
0.056 |
|
7 |
15.449 |
15.441 |
0.054 |
|
8 |
15.449 |
15.441 |
0.054 |
Reference:
BENCHMARK newsletter, Report No. E1261/R002, February 1989, p.21, NAFEMS - Glasgow
