Modeling A ============== 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). Characteristics of the mesh ---------------------------- .. csv-table:: "Number of stitches HEXA8 ", "240" "Number of stitches PENTA6 ", "240" **Table** 3.2-1 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. .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "364.48"," 1.00%" "Mode 2", "'EXTERNE'", "364.48"," 1.00%" "Mode 3", "'EXTERNE'", "1462.6"," 1.00%" "Mode 4", "'EXTERNE'", "1462.6"," 1.00%" "Mode 5", "'EXTERNE'", "3004.3"," 1.00%" "Mode 6", "'EXTERNE'", "3308.3"," 1.00%" "Mode 7", "'EXTERNE'", "3308.3"," 1.00%" "Mode 8", "'EXTERNE'", "4483.9"," 1.00%" "Fashion 9", "'EXTERNE'", "5925.4"," 1.00%" **Table** 3.3-1 **: Summary of results tested at standstill** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "234.26"," 1.00%" "Mode 2", "'EXTERNE'", "567.1"," 1.00%" "Mode 3", "'EXTERNE'", "1306.2"," 1.00%" "Mode 4", "'EXTERNE'", "1637.6"," 1.00%" "Mode 5", "'EXTERNE'", "3004.3"," 1.00%" "Mode 6", "'EXTERNE'", "3147.8"," 1.00%" "Fashion 7", "'EXTERNE'", "3477"," 1.00%" "Mode 8", "'EXTERNE'", "4483.9"," 1.00%" "Mode 9", "'EXTERNE'", "5764.4"," 1.00%" "Fashion 10", "'EXTERNE'", "6090.8"," 1.00%" **Table** 3.3-2 **: Summary of results tested at the speed of 10000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "198.01"," 1.00%" "Mode 2", "'EXTERNE'", "530.85"," 1.00%" "Mode 3", "'EXTERNE'", "1296.8"," 1.00%" "Mode 4", "'EXTERNE'", "1628.2"," 1.00%" "Mode 5", "'EXTERNE'", "3004.3"," 1.00%" "Mode 6", "'EXTERNE'", "3143.7"," 1.00%" "Mode 7", "'EXTERNE'", "3472.9"," 1.00%" "Mode 8", "'EXTERNE'", "4480.8"," 1.00%" "Mode 9", "'EXTERNE'", "5762.1"," 1.00%" "Mode 10", "'EXTERNE'", "6088.5"," 1.00%" **Table** 3.3-3 **: Summary of results tested at the speed of 10000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "160.75"," 1.00%" "Mode 2", "'EXTERNE'", "826.43"," 1.00%" "Mode 3", "'EXTERNE'", "1168.2"," 1.00%" "Mode 4", "'EXTERNE'", "1831.1"," 1.00%" "Fashion 5", "'EXTERNE'", "2995.5"," 1.00%" "Mode 6", "'EXTERNE'", "3004.3"," 1.00%" "Fashion 7", "'EXTERNE'", "3653.9"," 1.00%" "Mode 8", "'EXTERNE'", "4483.9"," 1.00%" "Fashion 9", "'EXTERNE'", "5607.9"," 1.00%" "Mode 10", "'EXTERNE'", "6260.8"," 1.00%" "Mode 11", "'EXTERNE'", "9016.9"," 1.00%" **Table** 3.3-4 **: Summary of results tested at the speed of 20000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "31.41"," 4.00%" "Mode 2", "'EXTERNE'", "697.09"," 1.00%" "Mode 3", "'EXTERNE'", "1131"," 1.00%" "Mode 4", "'EXTERNE'", "1793.8"," 1.00%" "Mode 5", "'EXTERNE'", "2978.9"," 1.00%" "Mode 6", "'EXTERNE'", "3004.3"," 1.00%" "Mode 7", "'EXTERNE'", "3637.3"," 1.00%" "Mode 8", "'EXTERNE'", "4471.5"," 1.00%" "Mode 9", "'EXTERNE'", "5598.7"," 1.00%" "Mode 10", "'EXTERNE'", "6251.6"," 1.00%" "Mode 11", "'EXTERNE'", "9010.8"," 1.00%" **Table** 3.3-5 **: Summary of results tested at the speed of 20000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "93.25"," 1.00%" "Mode 2", "'EXTERNE'", "942.95"," 1.00%" "Mode 3", "'EXTERNE'", "1424.6"," 1.00%" "Mode 4", "'EXTERNE'", "2268.6"," 1.00%" "Mode 5", "'EXTERNE'", "2714.8"," 1.00%" "Mode 6", "'EXTERNE'", "3004.3"," 1.00%" "Mode 7", "'EXTERNE'", "4031.6"," 1.00%" "Mode 8", "'EXTERNE'", "4483.7"," 1.00%" "Mode 9", "'EXTERNE'", "5308.3"," 1.00%" "Mode 10", "'EXTERNE'", "6614.1"," 1.00%" "Mode 11", "'EXTERNE'", "8721.5"," 1.00%" **Table** 3.3-6 **: Summary of results tested at the speed of 40,000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "302.1"," 1.00%" "Mode 2", "'EXTERNE'", "798.89"," 1.00%" "Mode 3", "'EXTERNE'", "1029.3"," 1.00%" "Mode 4", "'EXTERNE'", "2124.5"," 1.00%" "Mode 5", "'EXTERNE'", "2649.1"," 1.00%" "Mode 6", "'EXTERNE'", "3004.3"," 1.00%" "Fashion 7", "'EXTERNE'", "3965.9"," 1.00%" "Mode 8", "'EXTERNE'", "4433.9"," 1.00%" "Mode 9", "'EXTERNE'", "5271.7"," 1.00%" "Fashion 10", "'EXTERNE'", "6577.5"," 1.00%" "Mode 11", "'EXTERNE'", "8698.5"," 1.00%" **Table** 3.3-7 **: Summary of results tested at the speed of 40,000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "64.44"," 1.00%" "Mode 2", "'EXTERNE'", "774.29"," 1.00%" "Mode 3", "'EXTERNE'", "2061.5"," 1.00%" "Mode 4", "'EXTERNE'", "2465"," 1.00%" "Mode 5", "'EXTERNE'", "2762.7"," 1.00%" "Mode 6", "'EXTERNE'", "3004.3"," 1.00%" "Fashion 7", "'EXTERNE'", "4440.1"," 1.00%" "Mode 8", "'EXTERNE'", "4483.5"," 1.00%" "Fashion 9", "'EXTERNE'", "5026.4"," 1.00%" "Fashion 10", "'EXTERNE'", "6985"," 1.00%" "Mode 11", "'EXTERNE'", "8426"," 1.00%" **Table** 3.3-8 **: Summary of results tested at the speed of 60,000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "466.39"," 2.00%" "Mode 2", "'EXTERNE'", "636.08"," 1.00%" "Mode 3", "'EXTERNE'", "1361"," 1.00%" "Mode 4", "'EXTERNE'", "2318.9"," 1.00%" "Mode 5", "'EXTERNE'", "2454.8"," 1.00%" "Mode 6", "'EXTERNE'", "3004.3"," 1.00%" "Fashion 7", "'EXTERNE'", "4294"," 1.00%" "Mode 8", "'EXTERNE'", "4370.6"," 1.00%" "Mode 9", "'EXTERNE'", "4944.3"," 1.00%" "Mode 10", "'EXTERNE'", "6902.9"," 1.00%" "Mode 11", "'EXTERNE'", "8374.2"," 1.00%" **Table** 3.3-9 **: Summary of results tested at the speed of 60,000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "48.99"," 1.00%" "Mode 2", "'EXTERNE'", "648.31"," 1.00%" "Mode 3", "'EXTERNE'", "2244"," 1.00%" "Mode 4", "'EXTERNE'", "2711.7"," 1.00%" "Mode 5", "'EXTERNE'", "3004.3"," 1.00%" "Mode 6", "'EXTERNE'", "3299.5"," 1.00%" "Mode 7", "'EXTERNE'", "4483.2"," 1.00%" "Mode 8", "'EXTERNE'", "4761.8"," 1.00%" "Mode 9", "'EXTERNE'", "4877.5"," 1.00%" "Mode 10", "'EXTERNE'", "7373.2"," 1.00%" "Mode 11", "'EXTERNE'", "8141.4"," 1.00%" **Table** 3.3-10 **: Summary of results tested at the speed of 80000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "133.46"," 1.00%" "Mode 2", "'EXTERNE'", "970.51"," 1.00%" "Mode 3", "'EXTERNE'", "1692.2"," 1.00%" "Mode 4", "'EXTERNE'", "1988.3"," 1.00%" "Mode 5", "'EXTERNE'", "2784.7"," 1.00%" "Mode 6", "'EXTERNE'", "3004.3"," 1.00%" "Mode 7", "'EXTERNE'", "4280.4"," 1.00%" "Mode 8", "'EXTERNE'", "4616.6"," 1.00%" "Fashion 9", "'EXTERNE'", "4621.8"," 1.00%" "Mode 10", "'EXTERNE'", "7228"," 1.00%" "Mode 11", "'EXTERNE'", "8049.5"," 1.00%" **Table** 3.3-11 **: Summary of results tested at the speed of 80000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "39.45"," 1.00%" "Mode 2", "'EXTERNE'", "553.15"," 1.00%" "Mode 3", "'EXTERNE'", "2049.2"," 1.00%" "Mode 4", "'EXTERNE'", "3004.3"," 1.00%" "Mode 5", "'EXTERNE'", "3367.8"," 1.00%" "Mode 6", "'EXTERNE'", "3867.2"," 1.00%" "Mode 7", "'EXTERNE'", "4482.9"," 1.00%" "Mode 8", "'EXTERNE'", "4513.8"," 1.00%" "Mode 9", "'EXTERNE'", "5341.1"," 1.00%" "Mode 10", "'EXTERNE'", "7778.1"," 1.00%" "Mode 11", "'EXTERNE'", "7867.7"," 1.00%" **Table** 3.3-12 **: Summary of results tested at the speed of 100,000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "199.92"," 3.00%" "Mode 2", "'EXTERNE'", "1305.4"," 1.00%" "Mode 3", "'EXTERNE'", "1666.3"," 1.00%" "Mode 4", "'EXTERNE'", "2023"," 1.00%" "Mode 5", "'EXTERNE'", "3004.3"," 1.00%" "Mode 6", "'EXTERNE'", "3114.1"," 1.00%" "Mode 7", "'EXTERNE'", "4161.7"," 1.00%" "Mode 8", "'EXTERNE'", "4288.4"," 1.00%" "Fashion 9", "'EXTERNE'", "4949.1"," 1.00%" "Mode 10", "'EXTERNE'", "7552.7"," 1.00%" "Mode 11", "'EXTERNE'", "7724.5"," 1.00%" **Table** 3.3-13 **: Summary of results tested at the speed of 100,000 rpm with centrifugal softening**