4. B modeling#
4.1. Characteristics of modeling#
The rotor is modelled by quadratic volume elements (PENTA1 and HEXA20).
CALC_MODES calculates the modes specific to standstill (ie. without gyroscopic damping) and at several speeds of rotation, i.e. with gyroscopic damping (option MECA_GYRO), but taking into account or not taking into account the softening effect by centrifugal stiffness (option RIGI_ROTA).
4.2. Characteristics of the mesh#
Number of stitches HEXA20 |
240 |
Number of stitches PENTA15 |
240 |
Table 4.2-1
4.3. Results: comparison between Code_Aster and ANSYS calculations#
The tables below give the numerical values tested in this test case. These are the natural frequencies of the full cylinder in a free-free configuration at rest and in rotation.
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
247.84 |
|
Mode 2 |
“EXTERNE” |
247.84 |
|
Mode 3 |
“EXTERNE” |
983.03 |
|
Mode 4 |
“EXTERNE” |
983.03 |
|
Mode 5 |
“EXTERNE” |
2182.21 |
|
Mode 6 |
“EXTERNE” |
2182.21 |
|
Mode 7 |
“EXTERNE” |
2740.85 |
|
Mode 8 |
“EXTERNE” |
3811.07 |
|
Fashion 9 |
“EXTERNE” |
3811.07 |
|
Mode 10 |
“EXTERNE” |
4475.67 |
|
Mode 11 |
“EXTERNE” |
5829.53 |
|
Mode 12 |
“EXTERNE” |
5829.53 |
|
Table 4.3-1 : Summary of results tested at standstill
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
132.11 |
|
Mode 2 |
“EXTERNE” |
464.94 |
|
Mode 3 |
“EXTERNE” |
831.22 |
|
Mode 4 |
“EXTERNE” |
1162.58 |
|
Fashion 5 |
“EXTERNE” |
2023.86 |
|
Mode 6 |
“EXTERNE” |
2352.96 |
|
Mode 7 |
“EXTERNE” |
2740.85 |
|
Mode 8 |
“EXTERNE” |
3651.42 |
|
Fashion 9 |
“EXTERNE” |
3977.7 |
|
Mode 10 |
“EXTERNE” |
4475.66 |
|
Mode 11 |
“EXTERNE” |
5670.2 |
|
Mode 12 |
“EXTERNE” |
5993.34 |
|
Table 4.3-2 : Summary of results tested at the speed of 10000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
81.34 |
|
Mode 2 |
“EXTERNE” |
414.16 |
|
Mode 3 |
“EXTERNE” |
817.27 |
|
Mode 4 |
“EXTERNE” |
1148.6 |
|
Fashion 5 |
“EXTERNE” |
2017.6 |
|
Mode 6 |
“EXTERNE” |
2346.7 |
|
Fashion 7 |
“EXTERNE” |
2740.9 |
|
Mode 8 |
“EXTERNE” |
3647.9 |
|
Fashion 9 |
“EXTERNE” |
3974.1 |
|
Mode 10 |
“EXTERNE” |
4472.6 |
|
Mode 11 |
“EXTERNE” |
5667.9 |
|
Mode 12 |
“EXTERNE” |
5991 |
|
Table 4.3-3 : Summary of results tested at the speed of 10000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
82.14 |
|
Mode 2 |
“EXTERNE” |
706.02 |
|
Mode 3 |
“EXTERNE” |
747.79 |
|
Mode 4 |
“EXTERNE” |
1368.74 |
|
Fashion 5 |
“EXTERNE” |
1877.79 |
|
Mode 6 |
“EXTERNE” |
2535.99 |
|
Mode 7 |
“EXTERNE” |
2740.85 |
|
Mode 8 |
“EXTERNE” |
3498.73 |
|
Mode 9 |
“EXTERNE” |
4151.29 |
|
Mode 10 |
“EXTERNE” |
4475.62 |
|
Mode 11 |
“EXTERNE” |
5515.33 |
|
Mode 12 |
“EXTERNE” |
6161.61 |
|
Table 4.3-4 : Summary of results tested at the speed of 20000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
85.33 |
|
Mode 2 |
“EXTERNE” |
580.32 |
|
Mode 3 |
“EXTERNE” |
651.34 |
|
Mode 4 |
“EXTERNE” |
1314.1 |
|
Fashion 5 |
“EXTERNE” |
1852.8 |
|
Mode 6 |
“EXTERNE” |
2511 |
|
Fashion 7 |
“EXTERNE” |
2740.9 |
|
Mode 8 |
“EXTERNE” |
3484.5 |
|
Fashion 9 |
“EXTERNE” |
4137 |
|
Mode 10 |
“EXTERNE” |
4463.2 |
|
Mode 11 |
“EXTERNE” |
5506.1 |
|
Mode 12 |
“EXTERNE” |
6152.4 |
|
Table 4.3-5 : Summary of results tested at the speed of 20000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
44.64 |
|
Mode 2 |
“EXTERNE” |
522.84 |
|
Mode 3 |
“EXTERNE” |
1375.94 |
|
Mode 4 |
“EXTERNE” |
1621.11 |
|
Fashion 5 |
“EXTERNE” |
1848.28 |
|
Mode 6 |
“EXTERNE” |
2740.85 |
|
Fashion 7 |
“EXTERNE” |
2937.5 |
|
Mode 8 |
“EXTERNE” |
3214 |
|
Fashion 9 |
“EXTERNE” |
4475.5 |
|
Fashion 10 |
“EXTERNE” |
4519.1 |
|
Mode 11 |
“EXTERNE” |
5219 |
|
Mode 12 |
“EXTERNE” |
6511.5 |
|
Table 4.3-6 : Summary of results tested at the speed of 40,000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
318.98 |
|
Mode 2 |
“EXTERNE” |
419.18 |
|
Mode 3 |
“EXTERNE” |
912.12 |
|
Mode 4 |
“EXTERNE” |
1522.7 |
|
Mode 5 |
“EXTERNE” |
1644.4 |
|
Mode 6 |
“EXTERNE” |
2740.9 |
|
Fashion 7 |
“EXTERNE” |
2839.1 |
|
Mode 8 |
“EXTERNE” |
3157.3 |
|
Fashion 9 |
“EXTERNE” |
4425.6 |
|
Mode 10 |
“EXTERNE” |
4462.4 |
|
Mode 11 |
“EXTERNE” |
5182.1 |
|
Mode 12 |
“EXTERNE” |
6474.7 |
|
Table 4.3-7 : Summary of results tested at the speed of 40,000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
30.3 |
3.00% |
Mode 2 |
“EXTERNE” |
403.97 |
|
Mode 3 |
“EXTERNE” |
1407.86 |
|
Mode 4 |
“EXTERNE” |
2027.25 |
|
Mode 5 |
“EXTERNE” |
2392.12 |
|
Mode 6 |
“EXTERNE” |
2740.85 |
|
Fashion 7 |
“EXTERNE” |
2955.92 |
|
Mode 8 |
“EXTERNE” |
3382.46 |
|
Mode 9 |
“EXTERNE” |
4475.27 |
|
Fashion 10 |
“EXTERNE” |
4913.58 |
|
Mode 11 |
“EXTERNE” |
4940.14 |
|
Mode 12 |
“EXTERNE” |
6878.96 |
|
Table 4.3-8 : Summary of results tested at the speed of 60,000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“NON_REGRESSION” |
25.2636 |
|
Mode 2 |
“EXTERNE” |
753.73 |
|
Mode 3 |
“EXTERNE” |
1192 |
|
Mode 4 |
“EXTERNE” |
1243.2 |
|
Fashion 5 |
“EXTERNE” |
1974.1 |
|
Mode 6 |
“EXTERNE” |
2740.9 |
|
Fashion 7 |
“EXTERNE” |
2829.5 |
|
Mode 8 |
“EXTERNE” |
3166.6 |
|
Mode 9 |
“EXTERNE” |
4362.1 |
|
Mode 10 |
“EXTERNE” |
4787.2 |
|
Mode 11 |
“EXTERNE” |
4857.5 |
|
Mode 12 |
“EXTERNE” |
6796.4 |
|
Table 4.3-9 : Summary of results tested at the speed of 60,000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
22.87 |
|
Mode 2 |
“EXTERNE” |
324.76 |
|
Mode 3 |
“EXTERNE” |
1232.12 |
|
Mode 4 |
“EXTERNE” |
2685.47 |
|
Mode 5 |
“EXTERNE” |
2723.22 |
|
Mode 6 |
“EXTERNE” |
2740.85 |
|
Mode 7 |
“EXTERNE” |
2975.62 |
|
Mode 8 |
“EXTERNE” |
3864.9 |
|
Mode 9 |
“EXTERNE” |
4474.95 |
|
Fashion 10 |
“EXTERNE” |
4678.51 |
|
Mode 11 |
“EXTERNE” |
5333.42 |
|
Mode 12 |
“EXTERNE” |
7016.01 |
|
Table 4.3-10 : Summary of results tested at the speed of 80000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
347.74 |
|
Mode 2 |
“EXTERNE” |
860.69 |
|
Mode 3 |
“EXTERNE” |
1089 |
|
Mode 4 |
“EXTERNE” |
1573.6 |
|
Mode 5 |
“EXTERNE” |
2303.1 |
|
Mode 6 |
“EXTERNE” |
2501.1 |
|
Fashion 7 |
“EXTERNE” |
2740.9 |
|
Mode 8 |
“EXTERNE” |
3493.5 |
|
Mode 9 |
“EXTERNE” |
4271.8 |
|
Fashion 10 |
“EXTERNE” |
4532.4 |
|
Mode 11 |
“EXTERNE” |
5111.3 |
|
Mode 12 |
“EXTERNE” |
6912.5 |
|
Table 4.3-11 : Summary of results tested at the speed of 80000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
18.35 |
|
Mode 2 |
“EXTERNE” |
269.68 |
|
Mode 3 |
“EXTERNE” |
1087.57 |
|
Mode 4 |
“EXTERNE” |
2514.15 |
|
Mode 5 |
“EXTERNE” |
2740.85 |
|
Mode 6 |
“EXTERNE” |
3346.6 |
|
Mode 7 |
“EXTERNE” |
3583.26 |
|
Mode 8 |
“EXTERNE” |
4378.54 |
|
Mode 9 |
“EXTERNE” |
4433.54 |
|
Mode 10 |
“EXTERNE” |
4474.55 |
|
Mode 11 |
“EXTERNE” |
5776.87 |
|
Mode 12 |
“EXTERNE” |
6751.4 |
|
Table 4.3-12 : Summary of results tested at the speed of 100,000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
528.71 |
|
Mode 2 |
“EXTERNE” |
682.12 |
|
Mode 3 |
“EXTERNE” |
1425 |
|
Mode 4 |
“EXTERNE” |
1903.3 |
|
Fashion 5 |
“EXTERNE” |
2172.1 |
|
Mode 6 |
“EXTERNE” |
2631.5 |
|
Fashion 7 |
“EXTERNE” |
2740.8 |
|
Mode 8 |
“EXTERNE” |
3819.7 |
|
Mode 9 |
“EXTERNE” |
4152.7 |
|
Fashion 10 |
“EXTERNE” |
4206.7 |
|
Mode 11 |
“EXTERNE” |
5434.8 |
|
Mode 12 |
“EXTERNE” |
6590.2 |
|
Table 4.3-13: Summary of the results tested at the speed of 100,000 rpm with centrifugal softening