TGC1 Design problem
Muon Week, 10th November 2003
R. Vuillermet on behalf of the Muon Design Team :E. Fernandez, D. Mladenov, P. Minginette, G. Spigo, A. Tanklevski
R. Vuillermet
TGC1 Main CharacteristicsDimensions : Diameter : 23300 mmThickness : 250 mm
Weight :Mass of the structure 18TChambers mass 17.5TBracket mass 1TPS Packs + services 2.6Tout of mid planeElectronics racks 2 Tout of mid planeServices around the wheel 3.5T_________________________________TOTAL 44.6T
R. Vuillermet
TGC1 Initial design
R. Vuillermet
TGC1 rim with servicesElectronic racksServices around the rimPS-packs
R. Vuillermet
Edge beam cross sectionThe top beam initial cross section is composed 2 squares extruded profile (250x250x12) distant of 50 mm.
This section is reinforced on both sides by two 10mm thick plates, 180 mm away from the mid plane.
R. Vuillermet
Finite Element model used for the stability calculationRack massesPS pack masses
R. Vuillermet
Finite Element model used for the stability calculationBracket supporting chambers
R. Vuillermet
Finite Element model used for the stability calculationTGC chambers
R. Vuillermet
Model with initial reinforcementInitial top edge beams reinforcementCross section
R. Vuillermet
Boundary conditionsBoundary condition are located at the two supporting points.Since guarantying a perfect fully fix support is not possible (even with one rigid chariot), articulated fixations have been considered in these stability calculations.These articulated boundary conditions are for a stability point of view a conservative assumption. Ux=Uy=Uz= 0 mmUz=Uy= 0 mm
R. Vuillermet
Non linear buckling calculation -1Non linear buckling calculation consist of :1- Appling to the model a perturbation forces image of :Extrusion tolerancesManufacturing tolerancesAssembly uncertaintiesModeling imperfection
The purpose of this perturbation is to initiate the buckling mode and then increase the convergence of the calculations.Three different values for the perturbation forces have been considered 0 N, 1000 N and 2000 N applied on the top edge beam of the Wheel.
These perturbation forces can create up to 35 mm initial out of plane displacement.
R. Vuillermet
Non linear buckling calculation -22- Calculation proceduresIncreasing the forces that can create instability of the system while monitoring a deformation.In the TGC1 case the instability foreseen is due to the buckling of the top beam which is under compression. This compression is created by the weight of the structure.
The gravity is ramped linearly from 1 g to 3.5 g updating the geometrical non linear deformation of the structure while monitoring the displacement (in Z) of the top edge beam.
As no plasticity is met during the calculation process, the wheel is subjected to an elastic buckling phenomenon.
R. Vuillermet
Non linear buckling calculation -33- Acceptability criteriaFor column design, most of the national regulations consider a safety factor between 2.5 and 3 as the minimum. As the TGC1 wheel do not have any analogy to other kind of standard structures, a safety factor of 3 as driven our studies.
R. Vuillermet
Results
R. Vuillermet
Chart1
018.0532012.419724.8331010.389620.778736.0919
1.6813920.26690.91874913.996427.06381.0340212.091723.143738.5541
5.1174626.66552.7797717.191233.33244.1789117.22827.615845.2136
13.762534.93766.6488723.765247.004512.611330.451237.093653.0627
28.721752.687216.946239.790465.932325.433750.727750.42668.0131
38.380656.19736.334750.823769.996226.574354.552458.607572.9964
40.365340.067856.933870.842826.6715
43.829241.073658.2681
49.49842.78260.4909
51.844745.5401
48.9444
49.6653
4.5 G NoAB BM BC 0N
2.0 G NoAB BM BC 1000N
3.5 G 2xAB BM BC 0N
3.5 G 2xAB BM BC 1000N
3.5 G 2xAB BM BC 2000N
3.5 G 2xAB BM OldBC 0N
3.5 G 2xAB BM OldBC 1000N
3.5 G 2xAB BM OldBC 2000N
1.5 G NoAB BM BC 2000N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass AB & 2xAB
Sheet1
F=05xG
3.33E-02-0.2560560.170.256056
9.22E-02-0.7505560.460.750556
0.23289-2.209931.162.20993
0.45697-5.853432.285.85343
0.79324-21.14433.9721.1443
0.80376-22.4524.0222.452
0.82664-24.73334.1324.7333
0.83714-26.26034.1926.2603
0.85788-28.98394.2928.9839
0.86822-30.7284.3430.728
0.88757-33.85184.4433.8518
0.89102-35.21774.4635.2177
0.89534-35.83074.4835.8307
0.89752-35.88764.4935.8876
0.8958-36.1684.4836.168
0.90041-36.05274.5036.0527
1-36.23425.0036.2342
F=04.5G
3.33E-02-0.2297140.150.229714
9.22E-02-0.6692580.410.669258
0.23292-1.936561.051.93656
0.4573-4.925762.064.92576
0.8038-15.7513.6215.751
0.85165-18.77833.8318.7783
0.8841-21.67853.9821.6785
0.90965-23.99124.0923.9912
0.92915-25.96054.1825.9605
0.94341-27.84884.2527.8488
0.97024-31.26224.3731.2622
0.98059-33.63744.4133.6374
0.98659-34.17674.4434.1767
0.98811-34.37554.4534.3755
0.9896-34.75594.4534.7559
0.99518-35.62674.4835.6267
0.99872-36.56674.4936.5667
1-36.76034.5036.7603
F=04.5GNo AB
3.33E-02-0.2883751.50E-010.288375
0.11301-1.06845.09E-011.0684
0.30331-3.661981.36E+003.66198
0.59752-12.61912.69E+0012.6191
0.66573-16.71373.00E+0016.7137
0.69051-18.68633.11E+0018.6863
0.69889-19.83563.15E+0019.8356
0.72153-21.72793.25E+0021.7279
0.72986-23.06343.28E+0023.0634
0.75123-25.31423.38E+0025.3142
0.7587-26.85163.41E+0026.8516
0.77598-29.54353.49E+0029.5435
0.80252-34.02153.61E+0034.0215
0.80823-35.95293.64E+0035.9529
0.82084-39.36663.69E+0039.3666
0.83886-44.94593.77E+0044.9459
0.86621-54.02073.90E+0054.0207
F=03.8 GImpr AB
1.00E-01-0.7781663.80E-010.778166
0.33891-3.198351.29E+003.19835
0.71515-10.10262.72E+0010.1026
0.98496-21.44183.74E+0021.4418
1-22.38833.80E+0022.3883
F=03.8 G2 x AB
1.00E-01-0.6757273.80E-010.675727
0.33917-2.70911.29E+002.7091
0.71878-8.039412.73E+008.03941
0.99538-15.58483.78E+0015.5848
0.99874-15.78513.80E+0015.7851
1-15.81783.80E+0015.8178
F=04.5 G2 x AB
3.33E-02-0.2513761.50E-010.251376
0.1131-0.9054535.09E-010.905453
0.30389-2.846011.37E+002.84601
0.60751-7.750232.73E+007.75023
0.98161-22.7344.42E+0022.734
1-24.05454.50E+0024.0545
F=04.5 GImpr AB
3.33E-02-0.2879671.50E-010.287967
0.11306-1.04575.09E-011.0457
0.30364-3.365531.37E+003.36553
0.60391-9.716872.72E+009.71687
0.79502-17.84773.58E+0017.8477
0.87989-23.97753.96E+0023.9775
0.93585-29.66994.21E+0029.6699
0.96181-32.79924.33E+0032.7992
0.98043-35.44554.41E+0035.4455
0.99862-38.51664.49E+0038.5166
1-38.71324.50E+0038.7132
F=04.5 GImpr ABBigMass
3.33E-02-0.4379891.50E-010.437989
0.11297-1.593995.08E-011.59399
0.30289-5.165751.36E+005.16575
0.59802-15.08482.69E+0015.0848
0.84581-35.76143.81E+0035.7614
0.87961-41.44693.96E+0041.4469
0.91312-47.394.11E+0047.39
F=04.5 G2 x ABBigMass
3.33E-02-0.3820511.50E-010.382051
0.11304-1.378695.09E-011.37869
0.30344-4.358841.37E+004.35884
0.60278-12.04272.71E+0012.0427
0.96291-36.1324.33E+0036.132
0.99615-41.09274.48E+0041.0927
1-41.6244.50E+0041.624
F=04.5 GImpr ABBigMassStifCorn
3.33E-02-0.4193871.50E-010.419387
0.11299-1.52185.08E-011.5218
0.30308-4.889621.36E+004.88962
0.60011-14.00562.70E+0014.0056
0.85884-32.88173.86E+0032.8817
0.92091-42.0854.14E+0042.085
0.94231-45.78324.24E+0045.7832
F=04.5 GImpr ABBigMassFINE
2.00E-02-0.2598389.00E-020.259838
5.53E-02-0.7407372.49E-010.740737
0.13961-2.019416.28E-012.01941
0.34051-6.057011.53E+006.05701
0.64858-17.89372.92E+0017.8937
0.78382-28.33223.53E+0028.3322
0.83836-35.04333.77E+0035.0433
0.88841-42.47254.00E+0042.4725
0.89096-43.49924.01E+0043.4992
0.90045-45.24994.05E+0045.2499
0.91477-48.1064.12E+0048.106
0.93624-52.78274.21E+0052.7827
0.95198-56.60754.28E+0056.6075
F=04.5 G2 x ABBigMassImpr BC
3.33E-02-0.5239451.50E-010.523945
0.11312-1.89635.09E-011.8963
0.3034-6.135461.37E+006.13546
0.5968-18.44372.69E+0018.4437
0.72262-29.48823.25E+0029.4882
0.77707-36.49053.50E+0036.4905
0.79839-40.40373.59E+0040.4037
0.83398-46.88853.75E+0046.8885
F=04.5 GNo ABBigMassImpr BC15 steps
0.00E+000
6.66E-02-1.681393.00E-011.68139
0.17217-5.117467.75E-015.11746
0.33361-13.76251.50E+0013.7625
0.4655-28.72172.09E+0028.7217
0.51518-38.38062.32E+0038.3806
0.51984-40.36532.34E+0040.3653
0.5328-43.82922.40E+0043.8292
0.55175-49.4982.48E+0049.498
0.55629-51.84472.50E+0051.8447
F=03.0 GNo ABBigMassImpr BC30 steps
3.33E-02-0.5283289.99E-020.528328
9.20E-02-1.538922.76E-011.53892
0.23176-4.459946.95E-014.45994
0.44695-11.37111.34E+0011.3711
0.73085-32.30212.19E+0032.3021
0.75591-35.7442.27E+0035.744
0.77431-38.58872.32E+0038.5887
0.77803-40.09042.33E+0040.0904
0.79286-42.68212.38E+0042.6821
0.81472-46.91092.44E+0046.9109
F=01.5 GNo ABBigMassImpr BC1000 N
1-18.0532018.0532
1.0994-19.69020.149119.6902
1.334-24.1850.50124.185
1.6864-33.51461.029633.5146
1.9762-45.18191.464345.1819
F=02.0 GNo ABBigMassImpr BC1000 N
1-18.0532018.0532
1.0991-20.26690.198220.2669
1.3299-26.66550.659826.6655
1.5463-34.93761.092634.9376
1.8338-52.68721.667652.6872
1.8746-56.1971.749256.197
F=250 N3.5 GABBigMassImpr BC
1-3.4740303.47403
1.0666-4.688480.23314.68848
1.2252-8.209430.78828.20943
1.4706-16.65491.647116.6549
1.6858-30.91592.400330.9159
1.7676-40.64572.686640.6457
1.7956-44.59722.784644.5972
1.8145-47.90182.8507547.9018
1.848-53.85552.96853.8555
1.8493-55.12492.9725555.1249
F=500 N3.5 GABBigMassImpr BC
1-6.947906.9479
1.0665-8.364220.232758.36422
1.1834-11.27650.641911.2765
1.3651-17.44981.2778517.4498
1.6267-33.42272.1934533.4227
1.7288-44.74892.550844.7489
1.7625-49.42542.6687549.4254
1.7871-53.31482.7548553.3148
1.7923-54.96652.7730554.9665
1.8075-57.81962.8262557.8196
F=750 N3.5 GABBigMassImpr BC
1-10.4215010.4215
1.0664-12.03940.232412.0394
1.224-16.710.78416.71
1.4616-27.64331.615627.6433
1.6605-44.53722.3117544.5372
1.7026-49.61172.459149.6117
1.7329-53.89112.5651553.8911
1.736-55.05242.57655.0524
F=1000 N3.5 GABBigMassImpr BC
1-13.8947013.8947
1.0664-15.71380.232415.7138
1.2234-20.94680.781920.9468
1.4572-33.03211.600233.0321
1.6522-50.92082.282750.9208
1.682-54.87222.38754.8722
1.6857-55.94632.3999555.9463
F=1500 N3.5 GABBigMassImpr BC
1-20.8395020.8395
1.0662-23.05970.231723.0597
1.2212-29.41730.774229.4173
1.3685-37.58881.2897537.5888
1.5712-55.32891.999255.3289
F=2000 N3.5 GABBigMassImpr BC
1-27.7814027.7814
1.0663-30.39380.2320530.3938
1.1703-35.15180.5960535.1518
1.3278-44.5431.147344.543
1.4665-56.48631.6327556.4863
F=04.0 G2 x ABBigMassImpr BCNo Bot Frame
6.66E-02-1.283782.67E-011.28378
0.18393-3.982947.36E-013.98294
0.36704-10.07351.47E+0010.0735
0.62467-28.32962.50E+0028.3296
0.67024-34.92042.68E+0034.9204
0.70971-42.07132.84E+0042.0713
0.72781-45.78852.91E+0045.7885
0.74067-48.8332.96E+0048.833
0.76258-54.28833.05E+0054.2883
F=03.5 G2 x ABBigMassImpr BC
00
6.67E-02-0.9187492.33E-010.918749
0.18425-2.779776.45E-012.77977
0.37107-6.648871.30E+006.64887
0.65792-16.94622.30E+0016.9462
0.89024-36.33473.12E+0036.3347
0.91666-40.06783.21E+0040.0678
0.91923-41.07363.22E+0041.0736
0.93018-42.7823.26E+0042.782
0.94803-45.54013.32E+0045.5401
0.96671-48.94443.38E+0048.9444
0.96545-49.66533.38E+0049.6653
F=250 N3.5 G2 x ABBigMassImpr BC
1-3.105203.1052
1.0666-4.188740.23314.18874
1.184-6.386980.6446.38698
1.3699-10.94991.2946510.9499
1.6499-22.87662.2746522.8766
1.8725-43.66773.0537543.6677
1.8773-44.87843.0705544.8784
1.8933-46.89713.1265546.8971
1.9091-49.42573.1818549.4257
1.9106-50.50713.187150.5071
1.9164-51.41043.207451.4104
1.924-52.26043.23452.2604
1.9292-53.94763.252253.9476
1.9487-57.92253.3204557.9225
F=500 N3.5 G2 x ABBigMassImpr BC
1-6.2102806.21028
1.0666-7.458430.23317.45843
1.1838-9.99150.64339.9915
1.3687-15.23281.2904515.2328
1.6442-28.60862.254728.6086
1.7607-38.48022.6624538.4802
1.8109-44.21722.8381544.2172
1.8306-47.32752.907147.3275
1.8658-52.36463.030352.3646
1.8914-56.54983.119956.5498
F=750 N3.5 G2 x ABBigMassImpr BC
1-9.3151509.31515
1.0665-10.72770.2327510.7277
1.2249-14.7470.7871514.747
1.4693-23.9291.6425523.929
1.6864-38.33262.402438.3326
1.7756-47.78852.714647.7885
1.7924-50.42752.773450.4275
1.8232-54.66192.881254.6619
1.8448-58.19322.956858.1932
1.8632-61.37133.021261.3713
F=1000 N3.5 G2 x ABBigMassImpr BC
1-12.4197012.4197
1.0665-13.99640.2327513.9964
1.1833-17.19120.6415517.1912
1.3647-23.76521.2764523.7652
1.6289-39.79042.2011539.7904
1.7367-50.82372.5784550.8237
1.7854-56.93382.748956.9338
1.7912-58.26812.769258.2681
1.8084-60.49092.829460.4909
F=1500 N3.5 G2 x ABBigMassImpr BC
1-18.6275018.6275
1.0664-20.53190.232420.5319
1.2235-25.91570.7822525.9157
1.4592-37.91861.607237.9186
1.6622-55.1962.317755.196
1.7019-60.40582.4566560.4058
F=2000 N3.5 G2 x ABBigMassImpr BC
1-24.8331024.8331
1.0662-27.06380.231727.0638
1.2226-33.33240.779133.3324
1.4545-47.00451.5907547.0045
1.648-65.93232.26865.9323
1.6787-69.99622.3754569.9962
1.6808-70.84282.382870.8428
F=2000 N3.5 G2 x ABNoOutMassImpr BC
1-24.8374024.8374
1.0663-26.65170.2320526.6517
1.2235-31.73770.7822531.7377
1.4597-42.93641.6089542.9364
1.569-50.19791.991550.1979
1.6192-54.31822.167254.3182
F=2000 N3.5 G3 x ABBigMassImpr BC
1-21.1458021.1458
1.0664-22.95320.232422.9532
1.2239-27.97510.7836527.9751
1.463-38.79961.620538.7996
1.6746-54.10722.361154.1072
1.7661-63.44472.6813563.4447
F=2000 N3.5 G5 x ABBigMassImpr BC
1-19.9982019.9982
1.0665-21.65870.2327521.6587
1.2244-26.24720.785426.2472
1.4681-36.03071.6383536.0307
1.6888-49.97562.410849.9756
F=0 N3.5 G5 x AB StCorBigMassImpr BC
00
6.67E-02-0.4963162.34E-010.496316
0.22664-1.745147.93E-011.74514
0.48278-4.022231.69E+004.02223
0.89183-8.885283.12E+008.88528
0.99986-10.57013.50E+0010.5701
0.99992-10.5743.50E+0010.574
1-10.57643.50E+0010.5764
F=1000 N3.5 G5 x AB StCorBigMassImpr BC
1-5.7883605.78836
1.0667-6.414060.233456.41406
1.2265-8.015280.792758.01528
1.482-10.99261.68710.9926
1.8884-17.44383.109417.4438
2-19.7763.519.776
F=2000 N3.5 G5 x AB StCorBigMassImpr BC
1-11.5757011.5757
1.0667-12.33060.2334512.3306
1.2263-14.2830.7920514.283
1.4813-17.95491.6845517.9549
1.8849-25.96063.0971525.9606
2-28.96923.528.9692
F=3000 N4.5 G5 x AB StCorBigMassImpr BC
1-17.36110.00E+0017.3611
1.0667-18.50563.00E-0118.5056
1.2261-21.5651.02E+0021.565
1.4798-27.69772.16E+0027.6977
1.8742-42.76353.93E+0042.7635
1.9976-49.94374.49E+0049.9437
2-50.07614.50E+0050.0761
F=0 N3.5 G5 x AB NoStCorBigMassImpr BC
6.67E-02-0.7352082.33E-010.735208
0.18449-2.177896.46E-012.17789
0.37253-5.010261.30E+005.01026
0.66822-11.81342.34E+0011.8134
0.98003-26.72693.43E+0026.7269
1-28.23943.50E+0028.2394
F=0 N4.5 G5 x AB NoStCorBigMassImpr BC
0.00E+000
3.33E-02-0.4666231.50E-010.466623
0.11318-1.677495.09E-011.67749
0.24076-3.973161.08E+003.97316
0.44328-9.080041.99E+009.08004
0.74691-25.16233.36E+0025.1623
0.8595-38.54463.87E+0038.5446
0.86847-39.98333.91E+0039.9833
0.86911-40.61293.91E+0040.6129
0.87544-41.64623.94E+0041.6462
0.88641-43.28743.99E+0043.2874
0.89746-45.3444.04E+0045.344
0.89849-46.23074.04E+0046.2307
F=1000 N3.5 G5 x AB NoStCorBigMassImpr BC
1-9.3554809.35548
1.0666-10.49560.233110.4956
1.2257-13.63720.7899513.6372
1.4754-20.3961.663920.396
1.8449-39.02572.9571539.0257
1.9169-45.50393.2091545.5039
1.9855-52.63233.4492552.6323
1.9895-53.58563.4632553.5856
1.9952-54.23763.483254.2376
2-54.793.554.79
F=2000 N3.5 G5 x AB NoStCorBigMassImpr BC
1-18.7075018.7075
1.0665-20.25110.2327520.2511
1.1835-23.3030.6422523.303
1.3667-29.30171.2834529.3017
1.6446-42.88112.256142.8811
1.7662-52.11692.681752.1169
1.8741-62.99163.0593562.9916
1.9114-67.41563.189967.4156
1.9395-71.0872
F=0 N3.5 G5 x AB StCorBigMassImpr BCHALF StAB
00
6.66E-02-1.97582.33E-011.9758
0.18405-5.708076.44E-015.70807
0.37004-12.45751.30E+0012.4575
0.6561-25.91552.30E+0025.9155
0.92224-43.39213.23E+0043.3921
0.99623-49.89353.49E+0049.8935
1-50.15223.50E+0050.1522
F=1000 N3.5 G5 x AB StCorBigMassImpr BCHALF StAB
1-6.9644206.96442
1.0666-9.13150.23319.1315
1.2251-14.77220.7878514.7722
1.4729-25.4791.6551525.479
1.7083-38.78992.4790538.7899
1.9246-55.17263.236155.1726
1.9983-62.06263.4940562.0626
1.9972-62.30493.490262.3049
2-62.20733.562.2073
F=2000 N3.5 G5 x AB StCorBigMassImpr BCHALF StAB
1-13.921013.921
1.0665-16.27830.2327516.2783
1.2247-22.41140.7864522.4114
1.4706-34.02491.647134.0249
1.7027-48.33452.4594548.3345
1.9123-65.78913.1930565.7891
1.9993-74.38073.4975574.3807
F=0 N3.5 G2xABBigMassOld BC
00
9.99E-02-1.034023.50E-011.03402
0.33845-4.178911.18E+004.17891
0.71124-12.61132.49E+0012.6113
0.9843-25.43373.45E+0025.4337
0.99834-26.57433.49E+0026.5743
1-26.67153.50E+0026.6715
F=1000 N3.5 G2xABBigMassOld BCF=1000 N24000 GNo ABBigMassnew BC
1-10.3896010.38961-18.0532018.0532
1.0997-12.09170.3489512.09171.02-18.57290.048979591818.5729
1.3367-17.2281.1784517.2281.0675-19.87440.165306122419.8744
1.6959-30.45122.4356530.45121.1799-23.3420.440571428623.342
1.9655-50.72773.3792550.72771.3507-30.17380.858857142930.1738
2-54.55243.554.55241.5944-44.8941.455673469444.894
1.6935-53.98211.698367346953.9821
F=2000 N3.5 G2xABBigMassOld BC1.7327-58.9541.794367346958.954
1.7658-62.68321.875428571462.6832
1-20.7787020.77871.787-66.1671.927346938866.167
1.0997-23.14370.3489523.14371.8291-72.32772.030448979672.3277
1.2573-27.61580.9005527.61581.8598-77.36392.105632653177.3639
1.4998-37.09361.749337.09361.8643-79.47682.116653061279.4768
1.7179-50.4262.5126550.4261.872-80.07612.135510204180.0761
1.816-58.60752.85658.60751.8713-80.31152.133795918480.3115
1.8735-80.29982.139183673580.2998
F=0 N1.5 GABBigMass1.871-80.38612.133061224580.3861
1.8745-80.39042.141632653180.3904
1-36.0919036.09191.8711-80.57392.133306122480.5739
1.0988-38.55410.148238.55411.8761-81.17042.145551020481.1704
1.3276-45.21360.491445.21361.8776-81.25512.149224489881.2551
1.5404-53.06270.810653.06271.8773-81.46072.148489795981.4607
1.8426-68.01311.263968.01311.8788-81.4492.152163265381.449
1.9141-72.99641.3711572.99641.877-81.50042.14775510281.5004
1.8795-81.49282.15387755181.4928
1.8768-81.59962.147265306181.5996
1.8808-81.86962.157061224581.8696
1.8796-82.00342.15412244982.0034
Sheet1
000000000000000000000000000000000001100
0000000000000000000000000000000000000
0000000000000000000000000000000000000
0000000000000000000000000000000000000
0000000000000000000000000000000000000
00000000000000000000000000000000
0000000000000000000000000
0000000000000000000
0000000000000000
00000000000000
0000000
00000
00000
0000
000
000
00
0
5 G + AB
4.5 G + AB
4.5 G - AB
3.8 G ImprAB
3.8 G 2xAB
4.5 G 2xAB
4.5 G ImprAB
4.5 G ImprAB BM
4.5 G 2xAB BM
4.5 G ImprAB BM SC
4.5 G ImprAB BM FINE
4.5 G 2xAB BM BC
4.5 G NoAB BM BC
3.0 G NoAB BM BC
1.5 G NoAB BM BC 1000N
2.0 G NoAB BM BC 1000N
3.5 G AB BM BC 250 N
3.5 G AB BM BC 500 N
3.5 G AB BM BC 750 N
3.5 G AB BM BC 1000 N
3.5 G AB BM BC 1500 N
3.5 G AB BM BC 2000 N
4.0 G 2xAB BM BC NBF 0N
3.5 G 2xAB BM BC 0N
3.5 G 2xAB BM BC 250N
3.5 G 2xAB BM BC 500N
3.5 G 2xAB BM BC 750N
3.5 G 2xAB BM BC 1000N
3.5 G 2xAB BM BC 1500N
3.5 G 2xAB BM BC 2000N
3.5 G 2xAB NoOuM BC 2000N
3.5 G 3xAB BM BC 2000N
3.5 G 5xAB BM BC 2000N
3.5 G 5xAB StCor 0N
3.5 G 5xAB StCor 1000N
3.5 G 5xAB StCor 2000N
3.5 G 5xAB NoStCor 0N
3.5 G 5xAB NoStCor 1000N
3.5 G 5xAB NoStCor 2000N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass
Sheet2
000000000000000000000000000000000000000
000000000000000000000000000000000000000
000000000000000000000000000000000000000
000000000000000000000000000000000000000
000000000000000000000000000000000000000
00000000000000000000000000000000000
000000000000000000000000000
00000000000000000000
00000000000000000
00000000000000
0000000
00000
0000
000
00
00
00
0
4.5 G + AB
4.5 G - AB
4.5 G 2xAB
4.5 G ImprAB
4.5 G 2xAB BM
4.5 G ImprAB BM FINE
4.5 G 2xAB BM BC
4.5 G NoAB BM BC
3.0 G NoAB BM BC
1.5 G NoAB BM BC 1000N
2.0 G NoAB BM BC 1000N
3.5 G AB BM BC 250 N
3.5 G AB BM BC 500 N
3.5 G AB BM BC 750 N
3.5 G AB BM BC 1000 N
3.5 G AB BM BC 1500 N
3.5 G AB BM BC 2000 N
4.0 G 2xAB BM BC NBF 0N
3.5 G 2xAB BM BC 0N
3.5 G 2xAB BM BC 250N
3.5 G 2xAB BM BC 500N
3.5 G 2xAB BM BC 750N
3.5 G 2xAB BM BC 1000N
3.5 G 2xAB BM BC 1500N
3.5 G 2xAB BM BC 2000N
3.5 G 2xAB NoOuM BC 2000N
3.5 G 3xAB BM BC 2000N
3.5 G 5xAB BM BC 2000N
3.5 G 5xAB StCor 0N
3.5 G 5xAB StCor 1000N
3.5 G 5xAB StCor 2000N
3.5 G 5xAB NoStCor 0N
3.5 G 5xAB NoStCor 1000N
3.5 G 5xAB NoStCor 2000N
3.5 G 5xAB StCor 3000N
4.5 G 5xAB NoStCor 0N
3.5 G Half 5xAB StCor 1kN
3.5 G Half 5xAB StCor 2kN
3.5 G Half 5xAB StCor 0N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass
Sheet3
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
00000000
000000
000
00
0
0
0
3.5 G 5xAB StCor 0N
3.5 G 5xAB StCor 1000N
3.5 G 5xAB StCor 2000N
3.5 G 5xAB NoStCor 1000N
3.5 G 5xAB NoStCor 2000N
3.5 G 5xAB StCor 3000N
4.5 G 5xAB NoStCor 0N
3.5 G Half 5xAB StCor 1kN
3.5 G Half 5xAB StCor 2kN
3.5 G Half 5xAB StCor 0N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass & 5xAB
000000000
000000000
000000000
000000000
000000000
000000000
00000
000
000
00
0
0
4.5 G NoAB BM BC 0N
2.0 G NoAB BM BC 1000N
3.5 G 2xAB BM BC 0N
3.5 G 2xAB BM BC 1000N
3.5 G 2xAB BM BC 2000N
3.5 G 2xAB BM OldBC 0N
3.5 G 2xAB BM OldBC 1000N
3.5 G 2xAB BM OldBC 2000N
1.5 G NoAB BM BC 2000N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass AB & 2xAB
SolutionsSolution :Increase the modulus of inertia in Z direction by adding materials out of mid plane.Two temporary 250x250x12 square profiles will be added and connected to the sector edge beam.In that way the TGC1 wheel is stable during assembly and up to the connection to MDT.250x250x12 squared profile
R. Vuillermet
Model beams reinforcement2 Square profilesEdge beam cross section
R. Vuillermet
Results
R. Vuillermet
Chart2
05.7883611.575717.36116.9644213.9210
0.4963166.4140612.330618.50569.131516.27831.9758
1.745148.0152814.28321.56514.772222.41145.70807
4.0222310.992617.954927.697725.47934.024912.4575
8.8852817.443825.960642.763538.789948.334525.9155
10.570119.77628.969249.943755.172665.789143.3921
10.57450.076162.062674.380749.8935
10.576462.304950.1522
62.2073
.
3.5 G 5xAB StCor 0N
3.5 G 5xAB StCor 1000N
3.5 G 5xAB StCor 2000N
3.5 G 5xAB StCor 3000N
3.5 G Half 5xAB StCor 1kN
3.5 G Half 5xAB StCor 2kN
3.5 G Half 5xAB StCor 0N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass & 5xAB
Sheet1
F=05xG
3.33E-02-0.2560560.170.256056
9.22E-02-0.7505560.460.750556
0.23289-2.209931.162.20993
0.45697-5.853432.285.85343
0.79324-21.14433.9721.1443
0.80376-22.4524.0222.452
0.82664-24.73334.1324.7333
0.83714-26.26034.1926.2603
0.85788-28.98394.2928.9839
0.86822-30.7284.3430.728
0.88757-33.85184.4433.8518
0.89102-35.21774.4635.2177
0.89534-35.83074.4835.8307
0.89752-35.88764.4935.8876
0.8958-36.1684.4836.168
0.90041-36.05274.5036.0527
1-36.23425.0036.2342
F=04.5G
3.33E-02-0.2297140.150.229714
9.22E-02-0.6692580.410.669258
0.23292-1.936561.051.93656
0.4573-4.925762.064.92576
0.8038-15.7513.6215.751
0.85165-18.77833.8318.7783
0.8841-21.67853.9821.6785
0.90965-23.99124.0923.9912
0.92915-25.96054.1825.9605
0.94341-27.84884.2527.8488
0.97024-31.26224.3731.2622
0.98059-33.63744.4133.6374
0.98659-34.17674.4434.1767
0.98811-34.37554.4534.3755
0.9896-34.75594.4534.7559
0.99518-35.62674.4835.6267
0.99872-36.56674.4936.5667
1-36.76034.5036.7603
F=04.5GNo AB
3.33E-02-0.2883751.50E-010.288375
0.11301-1.06845.09E-011.0684
0.30331-3.661981.36E+003.66198
0.59752-12.61912.69E+0012.6191
0.66573-16.71373.00E+0016.7137
0.69051-18.68633.11E+0018.6863
0.69889-19.83563.15E+0019.8356
0.72153-21.72793.25E+0021.7279
0.72986-23.06343.28E+0023.0634
0.75123-25.31423.38E+0025.3142
0.7587-26.85163.41E+0026.8516
0.77598-29.54353.49E+0029.5435
0.80252-34.02153.61E+0034.0215
0.80823-35.95293.64E+0035.9529
0.82084-39.36663.69E+0039.3666
0.83886-44.94593.77E+0044.9459
0.86621-54.02073.90E+0054.0207
F=03.8 GImpr AB
1.00E-01-0.7781663.80E-010.778166
0.33891-3.198351.29E+003.19835
0.71515-10.10262.72E+0010.1026
0.98496-21.44183.74E+0021.4418
1-22.38833.80E+0022.3883
F=03.8 G2 x AB
1.00E-01-0.6757273.80E-010.675727
0.33917-2.70911.29E+002.7091
0.71878-8.039412.73E+008.03941
0.99538-15.58483.78E+0015.5848
0.99874-15.78513.80E+0015.7851
1-15.81783.80E+0015.8178
F=04.5 G2 x AB
3.33E-02-0.2513761.50E-010.251376
0.1131-0.9054535.09E-010.905453
0.30389-2.846011.37E+002.84601
0.60751-7.750232.73E+007.75023
0.98161-22.7344.42E+0022.734
1-24.05454.50E+0024.0545
F=04.5 GImpr AB
3.33E-02-0.2879671.50E-010.287967
0.11306-1.04575.09E-011.0457
0.30364-3.365531.37E+003.36553
0.60391-9.716872.72E+009.71687
0.79502-17.84773.58E+0017.8477
0.87989-23.97753.96E+0023.9775
0.93585-29.66994.21E+0029.6699
0.96181-32.79924.33E+0032.7992
0.98043-35.44554.41E+0035.4455
0.99862-38.51664.49E+0038.5166
1-38.71324.50E+0038.7132
F=04.5 GImpr ABBigMass
3.33E-02-0.4379891.50E-010.437989
0.11297-1.593995.08E-011.59399
0.30289-5.165751.36E+005.16575
0.59802-15.08482.69E+0015.0848
0.84581-35.76143.81E+0035.7614
0.87961-41.44693.96E+0041.4469
0.91312-47.394.11E+0047.39
F=04.5 G2 x ABBigMass
3.33E-02-0.3820511.50E-010.382051
0.11304-1.378695.09E-011.37869
0.30344-4.358841.37E+004.35884
0.60278-12.04272.71E+0012.0427
0.96291-36.1324.33E+0036.132
0.99615-41.09274.48E+0041.0927
1-41.6244.50E+0041.624
F=04.5 GImpr ABBigMassStifCorn
3.33E-02-0.4193871.50E-010.419387
0.11299-1.52185.08E-011.5218
0.30308-4.889621.36E+004.88962
0.60011-14.00562.70E+0014.0056
0.85884-32.88173.86E+0032.8817
0.92091-42.0854.14E+0042.085
0.94231-45.78324.24E+0045.7832
F=04.5 GImpr ABBigMassFINE
2.00E-02-0.2598389.00E-020.259838
5.53E-02-0.7407372.49E-010.740737
0.13961-2.019416.28E-012.01941
0.34051-6.057011.53E+006.05701
0.64858-17.89372.92E+0017.8937
0.78382-28.33223.53E+0028.3322
0.83836-35.04333.77E+0035.0433
0.88841-42.47254.00E+0042.4725
0.89096-43.49924.01E+0043.4992
0.90045-45.24994.05E+0045.2499
0.91477-48.1064.12E+0048.106
0.93624-52.78274.21E+0052.7827
0.95198-56.60754.28E+0056.6075
F=04.5 G2 x ABBigMassImpr BC
3.33E-02-0.5239451.50E-010.523945
0.11312-1.89635.09E-011.8963
0.3034-6.135461.37E+006.13546
0.5968-18.44372.69E+0018.4437
0.72262-29.48823.25E+0029.4882
0.77707-36.49053.50E+0036.4905
0.79839-40.40373.59E+0040.4037
0.83398-46.88853.75E+0046.8885
F=04.5 GNo ABBigMassImpr BC15 steps
0.00E+000
6.66E-02-1.681393.00E-011.68139
0.17217-5.117467.75E-015.11746
0.33361-13.76251.50E+0013.7625
0.4655-28.72172.09E+0028.7217
0.51518-38.38062.32E+0038.3806
0.51984-40.36532.34E+0040.3653
0.5328-43.82922.40E+0043.8292
0.55175-49.4982.48E+0049.498
0.55629-51.84472.50E+0051.8447
F=03.0 GNo ABBigMassImpr BC30 steps
3.33E-02-0.5283289.99E-020.528328
9.20E-02-1.538922.76E-011.53892
0.23176-4.459946.95E-014.45994
0.44695-11.37111.34E+0011.3711
0.73085-32.30212.19E+0032.3021
0.75591-35.7442.27E+0035.744
0.77431-38.58872.32E+0038.5887
0.77803-40.09042.33E+0040.0904
0.79286-42.68212.38E+0042.6821
0.81472-46.91092.44E+0046.9109
F=01.5 GNo ABBigMassImpr BC1000 N
1-18.0532018.0532
1.0994-19.69020.149119.6902
1.334-24.1850.50124.185
1.6864-33.51461.029633.5146
1.9762-45.18191.464345.1819
F=02.0 GNo ABBigMassImpr BC1000 N
1-18.0532018.0532
1.0991-20.26690.198220.2669
1.3299-26.66550.659826.6655
1.5463-34.93761.092634.9376
1.8338-52.68721.667652.6872
1.8746-56.1971.749256.197
F=250 N3.5 GABBigMassImpr BC
1-3.4740303.47403
1.0666-4.688480.23314.68848
1.2252-8.209430.78828.20943
1.4706-16.65491.647116.6549
1.6858-30.91592.400330.9159
1.7676-40.64572.686640.6457
1.7956-44.59722.784644.5972
1.8145-47.90182.8507547.9018
1.848-53.85552.96853.8555
1.8493-55.12492.9725555.1249
F=500 N3.5 GABBigMassImpr BC
1-6.947906.9479
1.0665-8.364220.232758.36422
1.1834-11.27650.641911.2765
1.3651-17.44981.2778517.4498
1.6267-33.42272.1934533.4227
1.7288-44.74892.550844.7489
1.7625-49.42542.6687549.4254
1.7871-53.31482.7548553.3148
1.7923-54.96652.7730554.9665
1.8075-57.81962.8262557.8196
F=750 N3.5 GABBigMassImpr BC
1-10.4215010.4215
1.0664-12.03940.232412.0394
1.224-16.710.78416.71
1.4616-27.64331.615627.6433
1.6605-44.53722.3117544.5372
1.7026-49.61172.459149.6117
1.7329-53.89112.5651553.8911
1.736-55.05242.57655.0524
F=1000 N3.5 GABBigMassImpr BC
1-13.8947013.8947
1.0664-15.71380.232415.7138
1.2234-20.94680.781920.9468
1.4572-33.03211.600233.0321
1.6522-50.92082.282750.9208
1.682-54.87222.38754.8722
1.6857-55.94632.3999555.9463
F=1500 N3.5 GABBigMassImpr BC
1-20.8395020.8395
1.0662-23.05970.231723.0597
1.2212-29.41730.774229.4173
1.3685-37.58881.2897537.5888
1.5712-55.32891.999255.3289
F=2000 N3.5 GABBigMassImpr BC
1-27.7814027.7814
1.0663-30.39380.2320530.3938
1.1703-35.15180.5960535.1518
1.3278-44.5431.147344.543
1.4665-56.48631.6327556.4863
F=04.0 G2 x ABBigMassImpr BCNo Bot Frame
6.66E-02-1.283782.67E-011.28378
0.18393-3.982947.36E-013.98294
0.36704-10.07351.47E+0010.0735
0.62467-28.32962.50E+0028.3296
0.67024-34.92042.68E+0034.9204
0.70971-42.07132.84E+0042.0713
0.72781-45.78852.91E+0045.7885
0.74067-48.8332.96E+0048.833
0.76258-54.28833.05E+0054.2883
F=03.5 G2 x ABBigMassImpr BC
00
6.67E-02-0.9187492.33E-010.918749
0.18425-2.779776.45E-012.77977
0.37107-6.648871.30E+006.64887
0.65792-16.94622.30E+0016.9462
0.89024-36.33473.12E+0036.3347
0.91666-40.06783.21E+0040.0678
0.91923-41.07363.22E+0041.0736
0.93018-42.7823.26E+0042.782
0.94803-45.54013.32E+0045.5401
0.96671-48.94443.38E+0048.9444
0.96545-49.66533.38E+0049.6653
F=250 N3.5 G2 x ABBigMassImpr BC
1-3.105203.1052
1.0666-4.188740.23314.18874
1.184-6.386980.6446.38698
1.3699-10.94991.2946510.9499
1.6499-22.87662.2746522.8766
1.8725-43.66773.0537543.6677
1.8773-44.87843.0705544.8784
1.8933-46.89713.1265546.8971
1.9091-49.42573.1818549.4257
1.9106-50.50713.187150.5071
1.9164-51.41043.207451.4104
1.924-52.26043.23452.2604
1.9292-53.94763.252253.9476
1.9487-57.92253.3204557.9225
F=500 N3.5 G2 x ABBigMassImpr BC
1-6.2102806.21028
1.0666-7.458430.23317.45843
1.1838-9.99150.64339.9915
1.3687-15.23281.2904515.2328
1.6442-28.60862.254728.6086
1.7607-38.48022.6624538.4802
1.8109-44.21722.8381544.2172
1.8306-47.32752.907147.3275
1.8658-52.36463.030352.3646
1.8914-56.54983.119956.5498
F=750 N3.5 G2 x ABBigMassImpr BC
1-9.3151509.31515
1.0665-10.72770.2327510.7277
1.2249-14.7470.7871514.747
1.4693-23.9291.6425523.929
1.6864-38.33262.402438.3326
1.7756-47.78852.714647.7885
1.7924-50.42752.773450.4275
1.8232-54.66192.881254.6619
1.8448-58.19322.956858.1932
1.8632-61.37133.021261.3713
F=1000 N3.5 G2 x ABBigMassImpr BC
1-12.4197012.4197
1.0665-13.99640.2327513.9964
1.1833-17.19120.6415517.1912
1.3647-23.76521.2764523.7652
1.6289-39.79042.2011539.7904
1.7367-50.82372.5784550.8237
1.7854-56.93382.748956.9338
1.7912-58.26812.769258.2681
1.8084-60.49092.829460.4909
F=1500 N3.5 G2 x ABBigMassImpr BC
1-18.6275018.6275
1.0664-20.53190.232420.5319
1.2235-25.91570.7822525.9157
1.4592-37.91861.607237.9186
1.6622-55.1962.317755.196
1.7019-60.40582.4566560.4058
F=2000 N3.5 G2 x ABBigMassImpr BC
1-24.8331024.8331
1.0662-27.06380.231727.0638
1.2226-33.33240.779133.3324
1.4545-47.00451.5907547.0045
1.648-65.93232.26865.9323
1.6787-69.99622.3754569.9962
1.6808-70.84282.382870.8428
F=2000 N3.5 G2 x ABNoOutMassImpr BC
1-24.8374024.8374
1.0663-26.65170.2320526.6517
1.2235-31.73770.7822531.7377
1.4597-42.93641.6089542.9364
1.569-50.19791.991550.1979
1.6192-54.31822.167254.3182
F=2000 N3.5 G3 x ABBigMassImpr BC
1-21.1458021.1458
1.0664-22.95320.232422.9532
1.2239-27.97510.7836527.9751
1.463-38.79961.620538.7996
1.6746-54.10722.361154.1072
1.7661-63.44472.6813563.4447
F=2000 N3.5 G5 x ABBigMassImpr BC
1-19.9982019.9982
1.0665-21.65870.2327521.6587
1.2244-26.24720.785426.2472
1.4681-36.03071.6383536.0307
1.6888-49.97562.410849.9756
F=0 N3.5 G5 x AB StCorBigMassImpr BC
00
6.67E-02-0.4963162.34E-010.496316
0.22664-1.745147.93E-011.74514
0.48278-4.022231.69E+004.02223
0.89183-8.885283.12E+008.88528
0.99986-10.57013.50E+0010.5701
0.99992-10.5743.50E+0010.574
1-10.57643.50E+0010.5764
F=1000 N3.5 G5 x AB StCorBigMassImpr BC
1-5.7883605.78836
1.0667-6.414060.233456.41406
1.2265-8.015280.792758.01528
1.482-10.99261.68710.9926
1.8884-17.44383.109417.4438
2-19.7763.519.776
F=2000 N3.5 G5 x AB StCorBigMassImpr BC
1-11.5757011.5757
1.0667-12.33060.2334512.3306
1.2263-14.2830.7920514.283
1.4813-17.95491.6845517.9549
1.8849-25.96063.0971525.9606
2-28.96923.528.9692
F=3000 N4.5 G5 x AB StCorBigMassImpr BC
1-17.36110.00E+0017.3611
1.0667-18.50563.00E-0118.5056
1.2261-21.5651.02E+0021.565
1.4798-27.69772.16E+0027.6977
1.8742-42.76353.93E+0042.7635
1.9976-49.94374.49E+0049.9437
2-50.07614.50E+0050.0761
F=0 N3.5 G5 x AB NoStCorBigMassImpr BC
6.67E-02-0.7352082.33E-010.735208
0.18449-2.177896.46E-012.17789
0.37253-5.010261.30E+005.01026
0.66822-11.81342.34E+0011.8134
0.98003-26.72693.43E+0026.7269
1-28.23943.50E+0028.2394
F=0 N4.5 G5 x AB NoStCorBigMassImpr BC
0.00E+000
3.33E-02-0.4666231.50E-010.466623
0.11318-1.677495.09E-011.67749
0.24076-3.973161.08E+003.97316
0.44328-9.080041.99E+009.08004
0.74691-25.16233.36E+0025.1623
0.8595-38.54463.87E+0038.5446
0.86847-39.98333.91E+0039.9833
0.86911-40.61293.91E+0040.6129
0.87544-41.64623.94E+0041.6462
0.88641-43.28743.99E+0043.2874
0.89746-45.3444.04E+0045.344
0.89849-46.23074.04E+0046.2307
F=1000 N3.5 G5 x AB NoStCorBigMassImpr BC
1-9.3554809.35548
1.0666-10.49560.233110.4956
1.2257-13.63720.7899513.6372
1.4754-20.3961.663920.396
1.8449-39.02572.9571539.0257
1.9169-45.50393.2091545.5039
1.9855-52.63233.4492552.6323
1.9895-53.58563.4632553.5856
1.9952-54.23763.483254.2376
2-54.793.554.79
F=2000 N3.5 G5 x AB NoStCorBigMassImpr BC
1-18.7075018.7075
1.0665-20.25110.2327520.2511
1.1835-23.3030.6422523.303
1.3667-29.30171.2834529.3017
1.6446-42.88112.256142.8811
1.7662-52.11692.681752.1169
1.8741-62.99163.0593562.9916
1.9114-67.41563.189967.4156
1.9395-71.0872
F=0 N3.5 G5 x AB StCorBigMassImpr BCHALF StAB
00
6.66E-02-1.97582.33E-011.9758
0.18405-5.708076.44E-015.70807
0.37004-12.45751.30E+0012.4575
0.6561-25.91552.30E+0025.9155
0.92224-43.39213.23E+0043.3921
0.99623-49.89353.49E+0049.8935
1-50.15223.50E+0050.1522
F=1000 N3.5 G5 x AB StCorBigMassImpr BCHALF StAB
1-6.9644206.96442
1.0666-9.13150.23319.1315
1.2251-14.77220.7878514.7722
1.4729-25.4791.6551525.479
1.7083-38.78992.4790538.7899
1.9246-55.17263.236155.1726
1.9983-62.06263.4940562.0626
1.9972-62.30493.490262.3049
2-62.20733.562.2073
F=2000 N3.5 G5 x AB StCorBigMassImpr BCHALF StAB
1-13.921013.921
1.0665-16.27830.2327516.2783
1.2247-22.41140.7864522.4114
1.4706-34.02491.647134.0249
1.7027-48.33452.4594548.3345
1.9123-65.78913.1930565.7891
1.9993-74.38073.4975574.3807
F=0 N3.5 G2xABBigMassOld BC
00
9.99E-02-1.034023.50E-011.03402
0.33845-4.178911.18E+004.17891
0.71124-12.61132.49E+0012.6113
0.9843-25.43373.45E+0025.4337
0.99834-26.57433.49E+0026.5743
1-26.67153.50E+0026.6715
F=1000 N3.5 G2xABBigMassOld BCF=1000 N24000 GNo ABBigMassnew BC
1-10.3896010.38961-18.0532018.0532
1.0997-12.09170.3489512.09171.02-18.57290.048979591818.5729
1.3367-17.2281.1784517.2281.0675-19.87440.165306122419.8744
1.6959-30.45122.4356530.45121.1799-23.3420.440571428623.342
1.9655-50.72773.3792550.72771.3507-30.17380.858857142930.1738
2-54.55243.554.55241.5944-44.8941.455673469444.894
1.6935-53.98211.698367346953.9821
F=2000 N3.5 G2xABBigMassOld BC1.7327-58.9541.794367346958.954
1.7658-62.68321.875428571462.6832
1-20.7787020.77871.787-66.1671.927346938866.167
1.0997-23.14370.3489523.14371.8291-72.32772.030448979672.3277
1.2573-27.61580.9005527.61581.8598-77.36392.105632653177.3639
1.4998-37.09361.749337.09361.8643-79.47682.116653061279.4768
1.7179-50.4262.5126550.4261.872-80.07612.135510204180.0761
1.816-58.60752.85658.60751.8713-80.31152.133795918480.3115
1.8735-80.29982.139183673580.2998
F=0 N1.5 GABBigMass1.871-80.38612.133061224580.3861
1.8745-80.39042.141632653180.3904
1-36.0919036.09191.8711-80.57392.133306122480.5739
1.0988-38.55410.148238.55411.8761-81.17042.145551020481.1704
1.3276-45.21360.491445.21361.8776-81.25512.149224489881.2551
1.5404-53.06270.810653.06271.8773-81.46072.148489795981.4607
1.8426-68.01311.263968.01311.8788-81.4492.152163265381.449
1.9141-72.99641.3711572.99641.877-81.50042.14775510281.5004
1.8795-81.49282.15387755181.4928
1.8768-81.59962.147265306181.5996
1.8808-81.86962.157061224581.8696
1.8796-82.00342.15412244982.0034
Sheet1
000000000000000000000000000000000001100
0000000000000000000000000000000000000
0000000000000000000000000000000000000
0000000000000000000000000000000000000
0000000000000000000000000000000000000
00000000000000000000000000000000
0000000000000000000000000
0000000000000000000
0000000000000000
00000000000000
0000000
00000
00000
0000
000
000
00
0
5 G + AB
4.5 G + AB
4.5 G - AB
3.8 G ImprAB
3.8 G 2xAB
4.5 G 2xAB
4.5 G ImprAB
4.5 G ImprAB BM
4.5 G 2xAB BM
4.5 G ImprAB BM SC
4.5 G ImprAB BM FINE
4.5 G 2xAB BM BC
4.5 G NoAB BM BC
3.0 G NoAB BM BC
1.5 G NoAB BM BC 1000N
2.0 G NoAB BM BC 1000N
3.5 G AB BM BC 250 N
3.5 G AB BM BC 500 N
3.5 G AB BM BC 750 N
3.5 G AB BM BC 1000 N
3.5 G AB BM BC 1500 N
3.5 G AB BM BC 2000 N
4.0 G 2xAB BM BC NBF 0N
3.5 G 2xAB BM BC 0N
3.5 G 2xAB BM BC 250N
3.5 G 2xAB BM BC 500N
3.5 G 2xAB BM BC 750N
3.5 G 2xAB BM BC 1000N
3.5 G 2xAB BM BC 1500N
3.5 G 2xAB BM BC 2000N
3.5 G 2xAB NoOuM BC 2000N
3.5 G 3xAB BM BC 2000N
3.5 G 5xAB BM BC 2000N
3.5 G 5xAB StCor 0N
3.5 G 5xAB StCor 1000N
3.5 G 5xAB StCor 2000N
3.5 G 5xAB NoStCor 0N
3.5 G 5xAB NoStCor 1000N
3.5 G 5xAB NoStCor 2000N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass
Sheet2
000000000000000000000000000000000000000
000000000000000000000000000000000000000
000000000000000000000000000000000000000
000000000000000000000000000000000000000
000000000000000000000000000000000000000
00000000000000000000000000000000000
000000000000000000000000000
00000000000000000000
00000000000000000
00000000000000
0000000
00000
0000
000
00
00
00
0
4.5 G + AB
4.5 G - AB
4.5 G 2xAB
4.5 G ImprAB
4.5 G 2xAB BM
4.5 G ImprAB BM FINE
4.5 G 2xAB BM BC
4.5 G NoAB BM BC
3.0 G NoAB BM BC
1.5 G NoAB BM BC 1000N
2.0 G NoAB BM BC 1000N
3.5 G AB BM BC 250 N
3.5 G AB BM BC 500 N
3.5 G AB BM BC 750 N
3.5 G AB BM BC 1000 N
3.5 G AB BM BC 1500 N
3.5 G AB BM BC 2000 N
4.0 G 2xAB BM BC NBF 0N
3.5 G 2xAB BM BC 0N
3.5 G 2xAB BM BC 250N
3.5 G 2xAB BM BC 500N
3.5 G 2xAB BM BC 750N
3.5 G 2xAB BM BC 1000N
3.5 G 2xAB BM BC 1500N
3.5 G 2xAB BM BC 2000N
3.5 G 2xAB NoOuM BC 2000N
3.5 G 3xAB BM BC 2000N
3.5 G 5xAB BM BC 2000N
3.5 G 5xAB StCor 0N
3.5 G 5xAB StCor 1000N
3.5 G 5xAB StCor 2000N
3.5 G 5xAB NoStCor 0N
3.5 G 5xAB NoStCor 1000N
3.5 G 5xAB NoStCor 2000N
3.5 G 5xAB StCor 3000N
4.5 G 5xAB NoStCor 0N
3.5 G Half 5xAB StCor 1kN
3.5 G Half 5xAB StCor 2kN
3.5 G Half 5xAB StCor 0N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass
Sheet3
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
00000000
000000
000
00
0
0
0
3.5 G 5xAB StCor 0N
3.5 G 5xAB StCor 1000N
3.5 G 5xAB StCor 2000N
3.5 G 5xAB NoStCor 1000N
3.5 G 5xAB NoStCor 2000N
3.5 G 5xAB StCor 3000N
4.5 G 5xAB NoStCor 0N
3.5 G Half 5xAB StCor 1kN
3.5 G Half 5xAB StCor 2kN
3.5 G Half 5xAB StCor 0N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass & 5xAB
000000000
000000000
000000000
000000000
000000000
000000000
00000
000
000
00
0
0
4.5 G NoAB BM BC 0N
2.0 G NoAB BM BC 1000N
3.5 G 2xAB BM BC 0N
3.5 G 2xAB BM BC 1000N
3.5 G 2xAB BM BC 2000N
3.5 G 2xAB BM OldBC 0N
3.5 G 2xAB BM OldBC 1000N
3.5 G 2xAB BM OldBC 2000N
1.5 G NoAB BM BC 2000N
Gravity [G]
Suspension Frame Displacement [mm]
TGC1 Buckling Safety Factors with Eccentric Mass AB & 2xAB
Consequences
Modify the edge beam in order to allow fast and easy connection and un-connection of the reinforcement beam. Design the connection between the reinforcement beams, to guaranty a good force transfer.Modify the sector assembly procedure to include the reinforcement beams on surface hall.Modify the movement and the opening scenario in the cavern to assure that the Wheel TGC1 is always in safe situation (either connected to MDT wheel or to HS structure)Modify the position of temporary supporting points on HM structure.
TGC1 wheel (and probably others too) will need a particular care during opening scenario throughout all life of the Experiment (from commissioning to decommissioning).
R. Vuillermet
TGC1 wheel displacement in the cavern after assembly
R. Vuillermet
Opening scenario between MDT and TGC1Previous scenarioNew scenario
R. Vuillermet
Stability of TGC1 connected to MDT wheelThe previous assembly scenario is based on the stability of the MDT and TGC1 wheel when connected together.A dedicated model has been developed integrating :The stepping connection of TGC1 to MDT. (e.g. no forces passing through the connecting beams during the connection steps).Characteristics command to perform a non linear buckling calculation.
R. Vuillermet
TGC1 connected to MDT model
R. Vuillermet
Results
R. Vuillermet
Chart2
-0.04480430.071247800
-0.103320.09907920.7670720.918749
-0.65572-0.4815212.990122.77977
-0.2278050.03412968.599236.64887
0.5705480.98769517.772516.9462
2.821223.6145521.380936.3347
7.870989.2664824.73140.0678
12.799614.569941.0736
12.817214.588542.782
45.5401
48.9444
49.6653
TGC1 connected to MDT
MDT connected to TGC1
MDT no AB
TGC1 no AB
Gravity [g]
Top Edge beam displacement [mm]
TGC1 and MDT non linear elastic results
No2_2
*****ANSYSPOST26VARIABLELISTING*****
TIMENSOLUZ
0000
0.56.91E-020.5-2.07288
19.61E-021-4.6854
1.51.430341.5-3.38383
22.76712-2.07933
2.03333.094472.0333-1.80644
2.11323.912582.1132-1.11961
2.30446.102112.30440.752157
2.64211.06952.6425.15529
2.998919.09362.998912.6013
2.999919.12812.999912.634
319.1313312.6372
TGC1 1+6MDT 1+6
0.50.5-4.48E-020.50.57.12E-02
11-0.10332119.91E-02
1.03281.1968-0.655721.03281.1968-0.481521
1.08591.5154-0.2278051.08591.51543.41E-02
1.18032.08180.5705481.18032.08180.987695
1.40613.43662.821221.40613.43663.61455
1.76735.60387.870981.76735.60389.26648
1.99956.99712.79961.99956.99714.5699
2712.81722714.5885
0.15004350.52394500
0.509041.89630.2672320.767072
1.36536.135460.908082.99012
2.685618.44371.934768.59923
3.2517929.48822.7310417.7725
3.49681536.49052.9140421.3809
3.59275540.40373.0525624.731
3.7529146.8885
00
0.23333450.918749
0.6448752.77977
1.2987456.64887
2.3027216.9462
3.1158436.3347
3.2083140.0678
3.21730541.0736
3.2556342.782
3.31810545.5401
3.38348548.9444
3.37907549.6653
No2_2
TGC1 connected to MDT
MDT connected to TGC1
MDT no AB
TGC1 no AB
Gravity [g]
Top Edge beam displacement [mm]
TGC1 and MDT non linear elastic results
ConclusionTGC1 and MDT wheel connected together are stable.
This stability calculation validate the assembly and moving scenario adopted so far.
Next step : stability calculation of TGC2 and TGC3 individually and connected together.
R. Vuillermet
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