3. B modeling#
3.1. Characteristics of modeling#
This modeling seeks to be similar to the document [1] from 1999. For this, the calculated mass matrix is diagonalized.
Modal analysis identifies the first 14 modes and three spectral analyses are carried out:
1.1. Combination SRSS
Combination CQC
3.3. Gupta-like combination with \(\mathit{f1}=\mathrm{2,80}\mathit{Hz}\) and \(\mathit{f2}=\mathrm{11,90}\mathit{Hz}\)
3.2. Tested sizes and results#
The quantities tested are the natural frequencies of the first 14 modes of the reactions to the supports of the structure. The tests use values from ANSYS as references. They are backed by non-regression tests with a tolerance of \(\mathrm{1,E-6}\).
Clean Fashion |
Reference Frequencies (Hz) |
Tolerance Aster_Code (%) |
1 |
2.91 |
1 |
2 |
4.39 |
1 |
3 |
5.52 |
3 |
4 |
5.7 |
3 |
5 |
6.98 |
2 |
6 |
7.34 |
2 |
7 |
7.88 |
2 |
8 |
10.3 |
1 |
9 |
11.06 |
3 |
10 |
11.23 |
2 |
11 |
11.5 |
2 |
12 |
12.43 |
2 |
13 |
13.88 |
2 |
14 |
16.12 |
1.2 |
Knots |
Efforts |
Reference calculation 1 (F:lbs, m:lbs-inch) |
Tolerance calculation 1 (%) |
Reference calculation 2 |
|||||
**(F:lbs |
m:lbs-inch)** » |
Tolerance calculation 2 (%) |
Reference calculation 3 |
||||||
**(F:lbs |
m:lbs-inch)** » |
Tolerance calculation 3 (%) |
|||||||
1 |
\(\mathit{FX}\) |
3.13 |
3.13 |
60 |
3.13 |
65 |
3.25 |
130 |
|
1 |
\(\mathit{FY}\) |
5.44 |
5.44 |
22 |
22 |
5.05 |
30 |
3.4 |
90 |
1 |
\(\mathit{FZ}\) |
7.48 |
7.48 |
8 |
8 |
6.76 |
15 |
2.47 |
1 |
1 |
\(\mathit{MX}\) |
275.37 |
275.37 |
35 |
246.84 |
40 |
64.41 |
51 |
|
1 |
\(\mathit{MY}\) |
690.81 |
690.81 |
2 |
690.81 |
690.81 |
1 |
||
1 |
\(\mathit{MZ}\) |
209.33 |
209.33 |
70 |
70 |
202.85 |
80 |
185.59 |
155 |
4 |
\(\mathit{FX}\) |
24.27 |
24.27 |
10 |
23.98 |
12 |
23.98 |
50 |
|
4 |
\(\mathit{FZ}\) |
75.18 |
75.18 |
20 |
67.72 |
15 |
25.43 |
15 |
|
7 |
\(\mathit{FY}\) |
15.53 |
15.53 |
15 |
15 |
14.42 |
10 |
||
11 |
\(\mathit{FY}\) |
19.61 |
19.61 |
15 |
15 |
19.08 |
12 |
15.63 |
15 |
11 |
\(\mathit{FZ}\) |
79.99 |
79.99 |
15 |
77.2 |
10 |
74.41 |
5 |
|
15 |
\(\mathit{FX}\) |
437.58 |
437.58 |
1 |
437.85 |
1 |
550.84 |
1.5 |
|
17 |
\(\mathit{FY}\) |
48.82 |
48.82 |
1 |
48.05 |
1 |
39.11 |
2 |
|
17 |
\(\mathit{FZ}\) |
79.11 |
79.11 |
5 |
79.73 |
5 |
62.91 |
5 |
|
36 |
\(\mathit{FY}\) |
90.5 |
90.5 |
1 |
90.03 |
2 |
59.08 |
3 |
|
36 |
\(\mathit{FZ}\) |
78.39 |
78.39 |
10 |
78.39 |
10 |
75.67 |
3 |
|
38 |
\(\mathit{FX}\) |
119.47 |
119.47 |
5 |
121.91 |
3 |
163.36 |
7 |
|
38 |
\(\mathit{FY}\) |
52.78 |
52.78 |
5 |
52.78 |
3 |
48.38 |
2 |
|
38 |
\(\mathit{FZ}\) |
38.38 |
38.38 |
10 |
40.09 |
5 |
56.3 |
4 |
|
38 |
\(\mathit{MX}\) |
1404.67 |
1404.67 |
1 |
1397.54 |
2 |
762.94 |
5 |
|
38 |
\(\mathit{MY}\) |
2588.19 |
258.19 |
5 |
2699.51 |
4 |
3701.39 |
5 |
|
38 |
\(\mathit{MZ}\) |
3710.18 |
3710.18 |
5 |
3710.18 |
3 |
3429.58 |
2 |
|
23 |
\(\mathit{FX}\) |
214.93 |
214.93 |
4 |
219.71 |
2 |
238.81 |
4 |
|
23 |
\(\mathit{FY}\) |
105.28 |
105.28 |
2 |
104.16 |
3 |
40.04 |
8 |
|
31 |
\(\mathit{FX}\) |
10.13 |
10.13 |
2 |
10.2 |
1 |
9.86 |
2 |
|
31 |
\(\mathit{FY}\) |
24.83 |
24.83 |
2 |
24.97 |
2 |
17.72 |
2 |
|
31 |
\(\mathit{FZ}\) |
31.62 |
31.62 |
10 |
30.69 |
8 |
23.56 |
7 |
|
31 |
\(\mathit{MX}\) |
2436.08 |
2436.08 |
10 |
2436.08 |
10 |
1763.68 |
10 |
|
31 |
\(\mathit{MY}\) |
282.8 |
282.8 |
4 |
287.99 |
1 |
306.15 |
2 |
|
31 |
\(\mathit{MZ}\) |
796.48 |
796.48 |
4 |
802.56 |
1 |
772.16 |
1 |