Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory
Publié en ligne: 22 nov. 2021
Pages: 277 - 284
Reçu: 17 juin 2021
Accepté: 24 sept. 2021
© 2021 Fugen Liu et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Comparison of calculated and measured modal parameters before correction
Order |
Frequency calculation value |
Frequency measured value |
Frequency error |
Mode shape difference |
|
1 |
18.503 |
15.674 |
18.05 |
2.7 |
2 |
39.549 |
33.74 |
17.22 |
12.69 |
3 |
46.472 |
39.854 |
16.61 |
10.2 |
4 |
68.545 |
58.921 |
16.33 |
11.2 |
5 |
78.746 |
71.885 |
9.54 |
- |
6 |
122.81 |
103.85 |
18.26 |
17.78 |
7 |
153.04 |
133.7 |
14.47 |
38.55 |
8 |
167.12 |
146.14 |
14.36 |
36.81 |
Parameter modification results
Category |
Before correction × 10−4 |
After correction × 10−5 |
True value × 10−5 |
Error/% |
|
1 |
Situation 1 |
1.33 |
9.309 |
9.31 |
0.011 |
Situation 2 |
9.204 |
1.138 |
2 |
Situation 1 |
1.33 |
7.974 |
7.98 |
0.075 |
Situation 2 |
7.788 |
2.4 |
3 |
Situation 1 |
1.33 |
6.624 |
6.65 |
0.391 |
Situation 2 |
6.61 |
0.6 |
4 |
Situation 1 |
1.33 |
7.899 |
7.98 |
1.015 |
Situation 2 |
7.937 |
0.53 |
5 |
Situation 1 |
2500 |
2997.1 |
3000 |
0.097 |
Situation 2 |
3031.6 |
1.05 |
Comparison of calculated and measured values of modal parameters after correction
Order |
Frequency calculation value |
Frequency measured value |
Frequency error |
Mode shape difference |
|
1 |
Situation 1 |
15.672 |
15.674 |
0.010 |
0.089 |
Situation 2 |
15.433 |
1.540 |
0.330 |
2 |
Situation 1 |
33.725 |
33.740 |
0.040 |
0.650 |
Situation 2 |
33.089 |
1.929 |
0.260 |
3 |
Situation 1 |
39.842 |
39.854 |
0.030 |
0.540 |
Situation 2 |
39.103 |
1.880 |
0.310 |
4 |
Situation 1 |
58.932 |
58.921 |
0.020 |
0.170 |
Situation 2 |
57.933 |
1.677 |
0.500 |
5 |
Situation 1 |
71.922 |
71.885 |
0.050 |
- |
Situation 2 |
71.510 |
0.521 |
6 |
Situation 1 |
103.850 |
103.850 |
0 |
0.11 |
Situation 2 |
102.280 |
1.512 |
0.93 |
7 |
Situation 1 |
133.750 |
133.700 |
0.04 |
0.15 |
Situation 2 |
131.350 |
1.758 |
0.72 |
8 |
Situation 1 |
146.170 |
146.140 |
0.02 |
0.45 |
Situation 2 |
143.700 |
1.67 |
0.91 |