3. Modeling A#
3.1. Characteristics of modeling#
The rotor is modelled by linear volume elements (PENTA6 and HEXA8).
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).
3.2. Characteristics of the mesh#
Number of stitches HEXA8 |
240 |
Number of stitches PENTA6 |
240 |
Table 3.2-1
3.3. 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” |
364.48 |
|
Mode 2 |
“EXTERNE” |
364.48 |
|
Mode 3 |
“EXTERNE” |
1462.6 |
|
Mode 4 |
“EXTERNE” |
1462.6 |
|
Mode 5 |
“EXTERNE” |
3004.3 |
|
Mode 6 |
“EXTERNE” |
3308.3 |
|
Mode 7 |
“EXTERNE” |
3308.3 |
|
Mode 8 |
“EXTERNE” |
4483.9 |
|
Fashion 9 |
“EXTERNE” |
5925.4 |
|
Table 3.3-1 : Summary of results tested at standstill
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
234.26 |
|
Mode 2 |
“EXTERNE” |
567.1 |
|
Mode 3 |
“EXTERNE” |
1306.2 |
|
Mode 4 |
“EXTERNE” |
1637.6 |
|
Mode 5 |
“EXTERNE” |
3004.3 |
|
Mode 6 |
“EXTERNE” |
3147.8 |
|
Fashion 7 |
“EXTERNE” |
3477 |
|
Mode 8 |
“EXTERNE” |
4483.9 |
|
Mode 9 |
“EXTERNE” |
5764.4 |
|
Fashion 10 |
“EXTERNE” |
6090.8 |
|
Table 3.3-2 : Summary of results tested at the speed of 10000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
198.01 |
|
Mode 2 |
“EXTERNE” |
530.85 |
|
Mode 3 |
“EXTERNE” |
1296.8 |
|
Mode 4 |
“EXTERNE” |
1628.2 |
|
Mode 5 |
“EXTERNE” |
3004.3 |
|
Mode 6 |
“EXTERNE” |
3143.7 |
|
Mode 7 |
“EXTERNE” |
3472.9 |
|
Mode 8 |
“EXTERNE” |
4480.8 |
|
Mode 9 |
“EXTERNE” |
5762.1 |
|
Mode 10 |
“EXTERNE” |
6088.5 |
|
Table 3.3-3 : Summary of results tested at the speed of 10000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
160.75 |
|
Mode 2 |
“EXTERNE” |
826.43 |
|
Mode 3 |
“EXTERNE” |
1168.2 |
|
Mode 4 |
“EXTERNE” |
1831.1 |
|
Fashion 5 |
“EXTERNE” |
2995.5 |
|
Mode 6 |
“EXTERNE” |
3004.3 |
|
Fashion 7 |
“EXTERNE” |
3653.9 |
|
Mode 8 |
“EXTERNE” |
4483.9 |
|
Fashion 9 |
“EXTERNE” |
5607.9 |
|
Mode 10 |
“EXTERNE” |
6260.8 |
|
Mode 11 |
“EXTERNE” |
9016.9 |
|
Table 3.3-4 : Summary of results tested at the speed of 20000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
31.41 |
|
Mode 2 |
“EXTERNE” |
697.09 |
|
Mode 3 |
“EXTERNE” |
1131 |
|
Mode 4 |
“EXTERNE” |
1793.8 |
|
Mode 5 |
“EXTERNE” |
2978.9 |
|
Mode 6 |
“EXTERNE” |
3004.3 |
|
Mode 7 |
“EXTERNE” |
3637.3 |
|
Mode 8 |
“EXTERNE” |
4471.5 |
|
Mode 9 |
“EXTERNE” |
5598.7 |
|
Mode 10 |
“EXTERNE” |
6251.6 |
|
Mode 11 |
“EXTERNE” |
9010.8 |
|
Table 3.3-5 : Summary of results tested at the speed of 20000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
93.25 |
|
Mode 2 |
“EXTERNE” |
942.95 |
|
Mode 3 |
“EXTERNE” |
1424.6 |
|
Mode 4 |
“EXTERNE” |
2268.6 |
|
Mode 5 |
“EXTERNE” |
2714.8 |
|
Mode 6 |
“EXTERNE” |
3004.3 |
|
Mode 7 |
“EXTERNE” |
4031.6 |
|
Mode 8 |
“EXTERNE” |
4483.7 |
|
Mode 9 |
“EXTERNE” |
5308.3 |
|
Mode 10 |
“EXTERNE” |
6614.1 |
|
Mode 11 |
“EXTERNE” |
8721.5 |
|
Table 3.3-6 : Summary of results tested at the speed of 40,000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
302.1 |
|
Mode 2 |
“EXTERNE” |
798.89 |
|
Mode 3 |
“EXTERNE” |
1029.3 |
|
Mode 4 |
“EXTERNE” |
2124.5 |
|
Mode 5 |
“EXTERNE” |
2649.1 |
|
Mode 6 |
“EXTERNE” |
3004.3 |
|
Fashion 7 |
“EXTERNE” |
3965.9 |
|
Mode 8 |
“EXTERNE” |
4433.9 |
|
Mode 9 |
“EXTERNE” |
5271.7 |
|
Fashion 10 |
“EXTERNE” |
6577.5 |
|
Mode 11 |
“EXTERNE” |
8698.5 |
|
Table 3.3-7 : Summary of results tested at the speed of 40,000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
64.44 |
|
Mode 2 |
“EXTERNE” |
774.29 |
|
Mode 3 |
“EXTERNE” |
2061.5 |
|
Mode 4 |
“EXTERNE” |
2465 |
|
Mode 5 |
“EXTERNE” |
2762.7 |
|
Mode 6 |
“EXTERNE” |
3004.3 |
|
Fashion 7 |
“EXTERNE” |
4440.1 |
|
Mode 8 |
“EXTERNE” |
4483.5 |
|
Fashion 9 |
“EXTERNE” |
5026.4 |
|
Fashion 10 |
“EXTERNE” |
6985 |
|
Mode 11 |
“EXTERNE” |
8426 |
|
Table 3.3-8 : Summary of results tested at the speed of 60,000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
466.39 |
|
Mode 2 |
“EXTERNE” |
636.08 |
|
Mode 3 |
“EXTERNE” |
1361 |
|
Mode 4 |
“EXTERNE” |
2318.9 |
|
Mode 5 |
“EXTERNE” |
2454.8 |
|
Mode 6 |
“EXTERNE” |
3004.3 |
|
Fashion 7 |
“EXTERNE” |
4294 |
|
Mode 8 |
“EXTERNE” |
4370.6 |
|
Mode 9 |
“EXTERNE” |
4944.3 |
|
Mode 10 |
“EXTERNE” |
6902.9 |
|
Mode 11 |
“EXTERNE” |
8374.2 |
|
Table 3.3-9 : Summary of results tested at the speed of 60,000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
48.99 |
|
Mode 2 |
“EXTERNE” |
648.31 |
|
Mode 3 |
“EXTERNE” |
2244 |
|
Mode 4 |
“EXTERNE” |
2711.7 |
|
Mode 5 |
“EXTERNE” |
3004.3 |
|
Mode 6 |
“EXTERNE” |
3299.5 |
|
Mode 7 |
“EXTERNE” |
4483.2 |
|
Mode 8 |
“EXTERNE” |
4761.8 |
|
Mode 9 |
“EXTERNE” |
4877.5 |
|
Mode 10 |
“EXTERNE” |
7373.2 |
|
Mode 11 |
“EXTERNE” |
8141.4 |
|
Table 3.3-10 : Summary of results tested at the speed of 80000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
133.46 |
|
Mode 2 |
“EXTERNE” |
970.51 |
|
Mode 3 |
“EXTERNE” |
1692.2 |
|
Mode 4 |
“EXTERNE” |
1988.3 |
|
Mode 5 |
“EXTERNE” |
2784.7 |
|
Mode 6 |
“EXTERNE” |
3004.3 |
|
Mode 7 |
“EXTERNE” |
4280.4 |
|
Mode 8 |
“EXTERNE” |
4616.6 |
|
Fashion 9 |
“EXTERNE” |
4621.8 |
|
Mode 10 |
“EXTERNE” |
7228 |
|
Mode 11 |
“EXTERNE” |
8049.5 |
|
Table 3.3-11 : Summary of results tested at the speed of 80000 rpm with centrifugal softening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
39.45 |
|
Mode 2 |
“EXTERNE” |
553.15 |
|
Mode 3 |
“EXTERNE” |
2049.2 |
|
Mode 4 |
“EXTERNE” |
3004.3 |
|
Mode 5 |
“EXTERNE” |
3367.8 |
|
Mode 6 |
“EXTERNE” |
3867.2 |
|
Mode 7 |
“EXTERNE” |
4482.9 |
|
Mode 8 |
“EXTERNE” |
4513.8 |
|
Mode 9 |
“EXTERNE” |
5341.1 |
|
Mode 10 |
“EXTERNE” |
7778.1 |
|
Mode 11 |
“EXTERNE” |
7867.7 |
|
Table 3.3-12 : Summary of results tested at the speed of 100,000 rpm without centrifugal sweetening
Identification |
Reference type |
Reference value |
Tolerance |
Mode 1 |
“EXTERNE” |
199.92 |
|
Mode 2 |
“EXTERNE” |
1305.4 |
|
Mode 3 |
“EXTERNE” |
1666.3 |
|
Mode 4 |
“EXTERNE” |
2023 |
|
Mode 5 |
“EXTERNE” |
3004.3 |
|
Mode 6 |
“EXTERNE” |
3114.1 |
|
Mode 7 |
“EXTERNE” |
4161.7 |
|
Mode 8 |
“EXTERNE” |
4288.4 |
|
Fashion 9 |
“EXTERNE” |
4949.1 |
|
Mode 10 |
“EXTERNE” |
7552.7 |
|
Mode 11 |
“EXTERNE” |
7724.5 |
|
Table 3.3-13 : Summary of results tested at the speed of 100,000 rpm with centrifugal softening