10/11/03 tgc1 design problem muon week, 10 th november 2003 r. vuillermet on behalf of the muon...

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 OldBC 0N




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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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



3.5 G AB BM BC 250 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 NoOuM BC 2000N



3.5 G 5xAB StCor 0N

3.5 G 5xAB StCor 1000N


3.5 G 5xAB NoStCor 0N



Gravity [G]


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 2xAB BM BC

4.5 G NoAB BM BC

3.0 G NoAB BM BC






3.5 G AB BM BC 1000 N

3.5 G AB BM BC 1500 N

3.5 G AB BM BC 2000 N


3.5 G 2xAB BM BC 0N










3.5 G 5xAB StCor 0N








3.5 G Half 5xAB StCor 1kN


3.5 G Half 5xAB StCor 0N

Gravity [G]



Sheet3

0000000000

0000000000

0000000000

0000000000

0000000000

0000000000

00000000

000000

000

00

0

0

0

3.5 G 5xAB StCor 0N










Gravity [G]


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


3.5 G 2xAB BM BC 0N







Gravity [G]



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







Gravity [G]



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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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 2xAB BM BC

4.5 G NoAB BM BC

3.0 G NoAB BM BC






3.5 G AB BM BC 1000 N

3.5 G AB BM BC 1500 N

3.5 G AB BM BC 2000 N


3.5 G 2xAB BM BC 0N










3.5 G 5xAB StCor 0N






Gravity [G]



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 2xAB BM BC

4.5 G NoAB BM BC

3.0 G NoAB BM BC






3.5 G AB BM BC 1000 N

3.5 G AB BM BC 1500 N

3.5 G AB BM BC 2000 N


3.5 G 2xAB BM BC 0N










3.5 G 5xAB StCor 0N











Gravity [G]



Sheet3

0000000000

0000000000

0000000000

0000000000

0000000000

0000000000

00000000

000000

000

00

0

0

0

3.5 G 5xAB StCor 0N










Gravity [G]



000000000

000000000

000000000

000000000

000000000

000000000

00000

000

000

00

0

0

4.5 G NoAB BM BC 0N


3.5 G 2xAB BM BC 0N







Gravity [G]



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

10/11/03 tgc1 design problem muon week, 10 th november 2003 r. vuillermet on behalf of the muon...

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