B modeling ============== 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). Characteristics of the mesh ---------------------------- .. csv-table:: "Number of stitches HEXA20 ", "240" "Number of stitches PENTA15 ", "240" **Table** 4.2-1 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'", "247.84"," 2.00%" "Mode 2", "'EXTERNE'", "247.84"," 2.00%" "Mode 3", "'EXTERNE'", "983.03"," 2.00%" "Mode 4", "'EXTERNE'", "983.03"," 2.00%" "Mode 5", "'EXTERNE'", "2182.21"," 1.00%" "Mode 6", "'EXTERNE'", "2182.21"," 1.00%" "Mode 7", "'EXTERNE'", "2740.85"," 1.00%" "Mode 8", "'EXTERNE'", "3811.07"," 1.00%" "Fashion 9", "'EXTERNE'", "3811.07"," 1.00%" "Mode 10", "'EXTERNE'", "4475.67"," 1.00%" "Mode 11", "'EXTERNE'", "5829.53"," 1.00%" "Mode 12", "'EXTERNE'", "5829.53"," 1.00%" **Table** 4.3-1 **: Summary of results tested at standstill** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "132.11"," 2.00%" "Mode 2", "'EXTERNE'", "464.94"," 1.00%" "Mode 3", "'EXTERNE'", "831.22"," 2.00%" "Mode 4", "'EXTERNE'", "1162.58"," 1.00%" "Fashion 5", "'EXTERNE'", "2023.86"," 2.00%" "Mode 6", "'EXTERNE'", "2352.96"," 1.00%" "Mode 7", "'EXTERNE'", "2740.85"," 1.00%" "Mode 8", "'EXTERNE'", "3651.42"," 1.00%" "Fashion 9", "'EXTERNE'", "3977.7"," 1.00%" "Mode 10", "'EXTERNE'", "4475.66"," 1.00%" "Mode 11", "'EXTERNE'", "5670.2"," 1.00%" "Mode 12", "'EXTERNE'", "5993.34"," 1.00%" **Table** 4.3-2 **: Summary of results tested at the speed of 10000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "81.34"," 4.00%" "Mode 2", "'EXTERNE'", "414.16"," 1.00%" "Mode 3", "'EXTERNE'", "817.27"," 2.00%" "Mode 4", "'EXTERNE'", "1148.6"," 1.00%" "Fashion 5", "'EXTERNE'", "2017.6"," 2.00%" "Mode 6", "'EXTERNE'", "2346.7"," 1.00%" "Fashion 7", "'EXTERNE'", "2740.9"," 1.00%" "Mode 8", "'EXTERNE'", "3647.9"," 1.00%" "Fashion 9", "'EXTERNE'", "3974.1"," 1.00%" "Mode 10", "'EXTERNE'", "4472.6"," 1.00%" "Mode 11", "'EXTERNE'", "5667.9"," 1.00%" "Mode 12", "'EXTERNE'", "5991"," 1.00%" **Table** 4.3-3 **: Summary of results tested at the speed of 10000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "82.14"," 3.00%" "Mode 2", "'EXTERNE'", "706.02"," 2.00%" "Mode 3", "'EXTERNE'", "747.79"," 1.00%" "Mode 4", "'EXTERNE'", "1368.74"," 1.00%" "Fashion 5", "'EXTERNE'", "1877.79"," 2.00%" "Mode 6", "'EXTERNE'", "2535.99"," 1.00%" "Mode 7", "'EXTERNE'", "2740.85"," 1.00%" "Mode 8", "'EXTERNE'", "3498.73"," 1.00%" "Mode 9", "'EXTERNE'", "4151.29"," 1.00%" "Mode 10", "'EXTERNE'", "4475.62"," 1.00%" "Mode 11", "'EXTERNE'", "5515.33"," 1.00%" "Mode 12", "'EXTERNE'", "6161.61"," 1.00%" **Table** 4.3-4 **: Summary of results tested at the speed of 20000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "85.33"," 4.00%" "Mode 2", "'EXTERNE'", "580.32"," 1.00%" "Mode 3", "'EXTERNE'", "651.34"," 2.00%" "Mode 4", "'EXTERNE'", "1314.1"," 1.00%" "Fashion 5", "'EXTERNE'", "1852.8"," 2.00%" "Mode 6", "'EXTERNE'", "2511"," 1.00%" "Fashion 7", "'EXTERNE'", "2740.9"," 1.00%" "Mode 8", "'EXTERNE'", "3484.5"," 1.00%" "Fashion 9", "'EXTERNE'", "4137"," 1.00%" "Mode 10", "'EXTERNE'", "4463.2"," 1.00%" "Mode 11", "'EXTERNE'", "5506.1"," 1.00%" "Mode 12", "'EXTERNE'", "6152.4"," 1.00%" **Table** 4.3-5 **: Summary of results tested at the speed of 20000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "44.64"," 3.00%" "Mode 2", "'EXTERNE'", "522.84"," 2.00%" "Mode 3", "'EXTERNE'", "1375.94"," 1.00%" "Mode 4", "'EXTERNE'", "1621.11"," 2.00%" "Fashion 5", "'EXTERNE'", "1848.28"," 1.00%" "Mode 6", "'EXTERNE'", "2740.85"," 1.00%" "Fashion 7", "'EXTERNE'", "2937.5"," 1.00%" "Mode 8", "'EXTERNE'", "3214"," 1.00%" "Fashion 9", "'EXTERNE'", "4475.5"," 1.00%" "Fashion 10", "'EXTERNE'", "4519.1"," 1.00%" "Mode 11", "'EXTERNE'", "5219"," 1.00%" "Mode 12", "'EXTERNE'", "6511.5"," 1.00%" **Table** 4.3-6 **: 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'", "318.98"," 4.00%" "Mode 2", "'EXTERNE'", "419.18"," 1.00%" "Mode 3", "'EXTERNE'", "912.12"," 1.00%" "Mode 4", "'EXTERNE'", "1522.7"," 2.00%" "Mode 5", "'EXTERNE'", "1644.4"," 1.00%" "Mode 6", "'EXTERNE'", "2740.9"," 1.00%" "Fashion 7", "'EXTERNE'", "2839.1"," 1.00%" "Mode 8", "'EXTERNE'", "3157.3"," 1.00%" "Fashion 9", "'EXTERNE'", "4425.6"," 1.00%" "Mode 10", "'EXTERNE'", "4462.4"," 1.00%" "Mode 11", "'EXTERNE'", "5182.1"," 1.00%" "Mode 12", "'EXTERNE'", "6474.7"," 1.00%" **Table** 4.3-7 **: 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'", "30.3", "3.00%" "Mode 2", "'EXTERNE'", "403.97"," 2.00%" "Mode 3", "'EXTERNE'", "1407.86"," 2.00%" "Mode 4", "'EXTERNE'", "2027.25"," 1.00%" "Mode 5", "'EXTERNE'", "2392.12"," 1.00%" "Mode 6", "'EXTERNE'", "2740.85"," 1.00%" "Fashion 7", "'EXTERNE'", "2955.92"," 1.00%" "Mode 8", "'EXTERNE'", "3382.46"," 1.00%" "Mode 9", "'EXTERNE'", "4475.27"," 1.00%" "Fashion 10", "'EXTERNE'", "4913.58"," 1.00%" "Mode 11", "'EXTERNE'", "4940.14"," 1.00%" "Mode 12", "'EXTERNE'", "6878.96"," 1.00%" **Table** 4.3-8 **: Summary of results tested at the speed of 60,000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'NON_REGRESSION'", "25.2636"," 0.001%" "Mode 2", "'EXTERNE'", "753.73"," 1.00%" "Mode 3", "'EXTERNE'", "1192"," 2.00%" "Mode 4", "'EXTERNE'", "1243.2"," 1.00%" "Fashion 5", "'EXTERNE'", "1974.1"," 1.00%" "Mode 6", "'EXTERNE'", "2740.9"," 1.00%" "Fashion 7", "'EXTERNE'", "2829.5"," 2.00%" "Mode 8", "'EXTERNE'", "3166.6"," 1.00%" "Mode 9", "'EXTERNE'", "4362.1"," 1.00%" "Mode 10", "'EXTERNE'", "4787.2"," 1.00%" "Mode 11", "'EXTERNE'", "4857.5"," 1.00%" "Mode 12", "'EXTERNE'", "6796.4"," 1.00%" **Table** 4.3-9 **: 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'", "22.87"," 3.00%" "Mode 2", "'EXTERNE'", "324.76"," 3.00%" "Mode 3", "'EXTERNE'", "1232.12"," 2.00%" "Mode 4", "'EXTERNE'", "2685.47"," 1.00%" "Mode 5", "'EXTERNE'", "2723.22"," 2.00%" "Mode 6", "'EXTERNE'", "2740.85"," 1.00%" "Mode 7", "'EXTERNE'", "2975.62"," 1.00%" "Mode 8", "'EXTERNE'", "3864.9"," 1.00%" "Mode 9", "'EXTERNE'", "4474.95"," 1.00%" "Fashion 10", "'EXTERNE'", "4678.51"," 1.00%" "Mode 11", "'EXTERNE'", "5333.42"," 1.00%" "Mode 12", "'EXTERNE'", "7016.01"," 1.00%" **Table** 4.3-10 **: Summary of results tested at the speed of 80000 rpm without centrifugal sweetening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "347.74"," 4.00%" "Mode 2", "'EXTERNE'", "860.69"," 3.00%" "Mode 3", "'EXTERNE'", "1089"," 1.00%" "Mode 4", "'EXTERNE'", "1573.6"," 1.00%" "Mode 5", "'EXTERNE'", "2303.1"," 1.00%" "Mode 6", "'EXTERNE'", "2501.1"," 2.00%" "Fashion 7", "'EXTERNE'", "2740.9"," 1.00%" "Mode 8", "'EXTERNE'", "3493.5"," 1.00%" "Mode 9", "'EXTERNE'", "4271.8"," 1.00%" "Fashion 10", "'EXTERNE'", "4532.4"," 1.00%" "Mode 11", "'EXTERNE'", "5111.3"," 1.00%" "Mode 12", "'EXTERNE'", "6912.5"," 1.00%" **Table** 4.3-11 **: Summary of results tested at the speed of 80000 rpm with centrifugal softening** .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" "Mode 1", "'EXTERNE'", "18.35"," 3.00%" "Mode 2", "'EXTERNE'", "269.68"," 3.00%" "Mode 3", "'EXTERNE'", "1087.57"," 2.00%" "Mode 4", "'EXTERNE'", "2514.15"," 2.00%" "Mode 5", "'EXTERNE'", "2740.85"," 1.00%" "Mode 6", "'EXTERNE'", "3346.6"," 1.00%" "Mode 7", "'EXTERNE'", "3583.26"," 1.00%" "Mode 8", "'EXTERNE'", "4378.54"," 1.00%" "Mode 9", "'EXTERNE'", "4433.54"," 1.00%" "Mode 10", "'EXTERNE'", "4474.55"," 1.00%" "Mode 11", "'EXTERNE'", "5776.87"," 1.00%" "Mode 12", "'EXTERNE'", "6751.4"," 1.00%" **Table** 4.3-12 **: 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'", "528.71"," 5.00%" "Mode 2", "'EXTERNE'", "682.12"," 2.00%" "Mode 3", "'EXTERNE'", "1425"," 1.00%" "Mode 4", "'EXTERNE'", "1903.3"," 1.00%" "Fashion 5", "'EXTERNE'", "2172.1"," 2.00%" "Mode 6", "'EXTERNE'", "2631.5"," 1.00%" "Fashion 7", "'EXTERNE'", "2740.8"," 1.00%" "Mode 8", "'EXTERNE'", "3819.7"," 1.00%" "Mode 9", "'EXTERNE'", "4152.7"," 1.00%" "Fashion 10", "'EXTERNE'", "4206.7"," 1.00%" "Mode 11", "'EXTERNE'", "5434.8"," 1.00%" "Mode 12", "'EXTERNE'", "6590.2"," 1.00%" Table 4.3-13: Summary of the results tested at the speed of 100,000 rpm with centrifugal softening