5. C modeling#

5.1. Characteristics of modeling#

The rotor is modelled by quadratic volume elements (“3D_SI” modeling, MECA_HEXS20).

CALC_MODES calculates the modes specific to standstill (ie. without gyroscopic damping) and in rotation, ie. with gyroscopic damping (option MECA_GYRO), but taking into account or not taking into account the softening effect by centrifugal stiffness (option RIGI_ROTA).

5.2. Characteristics of the mesh#

Number of stitches HEXS20

112

Table 5.2-1

5.3. Results: comparison between Code_Aster and ANSYS calculations#

The table gives the numerical values tested in this test case. These are the natural frequencies of the cylinder in a free-free configuration at standstill and at 3000 rpm.

Identification

Reference type

Reference value

Tolerance

Mode 1

“EXTERNE”

2562.08

2.00%

Mode 2

“EXTERNE”

2562.08

2.00%

Mode 3

“EXTERNE”

2962.72

1.00%

Mode 4

“EXTERNE”

2962.72

1.00%

Mode 5

“EXTERNE”

6231.34

1.00%

Mode 6

“EXTERNE”

6231.34

1.00%

Mode 7

“EXTERNE”

6313.73

1.00%

Mode 8

“EXTERNE”

6420.42

1.00%

Mode 9

“EXTERNE”

6420.42

1.00%

Mode 10

“EXTERNE”

6658.75

2.00%

Mode 11

“EXTERNE”

6658.75

2.00%

Mode 12

“EXTERNE”

7040.85

1.00%

Mode 13

“EXTERNE”

7040.85

1.00%

Mode 14

“EXTERNE”

7159.02

2.00%

Table 5.3-1 : Summary of results tested when stopped (elements HEXS20 )

With under-integration, we can actually see that the difference between Code_Aster and ANSYS decreases from 3% to 1.5% at most.

Identification

Reference type

Reference value

Tolerance

Mode 1

“EXTERNE”

53.26

2.00%

Mode 2

“EXTERNE”

100

1.00%

Mode 3

“EXTERNE”

2524.2

2.00%

Mode 4

“EXTERNE”

2601.5

2.00%

Fashion 5

“EXTERNE”

2928.5

2.00%

Mode 6

“EXTERNE”

2998.1

2.00%

Mode 7

“EXTERNE”

6211.4

1.00%

Mode 8

“EXTERNE”

6251.8

1.00%

Mode 9

“EXTERNE”

6313

1.00%

Mode 10

“EXTERNE”

6388.2

1.00%

Table 5.3-2 : Summary of results tested in rotation without centrifugal sweetening

Identification

Reference type

Reference value

Tolerance

Mode 1

“EXTERNE”

26.63

2.00%

Mode 2

“EXTERNE”

26.63

2.00%

Mode 3

“EXTERNE”

50

1.00%

Mode 4

“EXTERNE”

50

1.00%

Mode 5

“EXTERNE”

2523.74

2.00%

Mode 6

“EXTERNE”

2600.99

2.00%

Fashion 7

“EXTERNE”

2928.09

2.00%

Mode 8

“EXTERNE”

2997.72

2.00%

Mode 9

“EXTERNE”

6211.33

1.00%

Mode 10

“EXTERNE”

6251.73

1.00%

Mode 11

“EXTERNE”

6312.84

1.00%

Mode 12

“EXTERNE”

6388.03

1.00%

Table 5.3-3: Summary of the results tested in rotation with centrifugal softening