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Mechanical calculations of the CDC end-plates

July 8 th , '09 KEK H. Yamaoka. Mechanical calculations of the CDC end-plates. KEK H. Yamaoka. Introduction. ~2400. CDC. ~R1090. End-plate. Mechanical calculations of CDC end-plates was carried out. Load: Wire tension  ~4000kg in total. Material: Outer cylinder  CFRP

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Mechanical calculations of the CDC end-plates

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  1. July 8th, '09 KEK H. Yamaoka Mechanical calculations of the CDC end-plates KEK H. Yamaoka

  2. Introduction ~2400 CDC ~R1090 End-plate Mechanical calculations of CDC end-plates was carried out. Load: Wire tension  ~4000kg in total. Material: Outer cylinder  CFRP End plates  Aluminum, CFRP Assumption: All wire tension is supported by the outer cylinder. Deformation(< 5mm), Stress? Buckling strength?

  3. Wire configuration Given by Taniguchi-san

  4. Distributions of wire tension in R-direction

  5. Definitions for FEM Load conditions Material properties Total: 3725kg Constraints R: Free q: Fixed Z: fixed RotR: Fixed Rotq: Free RotZ: fixed No inner cylinder

  6. Results - End-plates: 10mm-thick(Al), Outer-cylinder(CFRP): 5mm-thick. Deformation Deformation 2.9mm 2.7mm Stress Stress 31MPa

  7. Calculations of buckling strength Ref: E.H.Baker, et. al. 'STRUCTURAL ANALYSIS OF SHELLS'  The buckling strength of the outer/inner cylinder is calculated.

  8. Buckling strength: Inner cylinder t=0.4mm t=0.8mm Material: CFRP Dia. 340mm Length: 1000mm E：110GPa n: 0.3

  9. Buckling strength: Outer cylinder If t=1.0mm If t=5.0mm Assumptions Material: CFRP Dia. 2190mm Length: 2328mm E：110GPa n: 0.3 Wire tension : 3725kg

  10. Calculation results in various parameters Allowable stress（Japanese: Koukozo sekkei kijun）  This criterion was used for the mechanical design of the Belle.

  11. http://wiki.kek.jp/display/~yamaokah/CDC Conclusion Made by Kohriki-san Configuration - If deformation has to keep less than 5mm, thickness of end-plates should be thicker than 7mm(Al).  Calculation at the practical configuration will be necessary. - To know the mechanical properties of CFRP is important,  We have contacted to a CFRP fabricator. END

  12. 張力分布(リスト) 層 R(mm) Z+(mm) Z-(mm) 数　　　角度 41 A 814.0 1518.5 -718.5 320 0.0 42 A 832.0 1521.6 -721.6 320 0.0 43 A 850.0 1524.7 -724.7 320 0.0 44 A 868.0 1527.8 -727.8 320 0.0 45 V 886.0 1530.9 -730.9 352 -56.0 46 V 904.0 1534.0 -734.0 352 -56.9 47 V 922.0 1537.2 -737.2 352 -57.9 48 V 940.0 1540.3 -740.3 352 -58.9 49 V 958.0 1543.4 -743.4 352 -59.9 50 V 976.0 1546.5 -746.5 352 -60.8 51 A 994.0 1549.6 -749.6 384 0.0 52 A 1012.0 1552.7 -752.7 384 0.0 53 A 1030.0 1555.8 -755.8 384 0.0 54 A 1048.0 1558.9 -758.9 384 0.0 55 A 1066.0 1562.0 -762.0 384 0.0 56 A 1084.0 1565.2 -765.2 384 0.0 57 A 1102.0 1568.3 -768.3 384 0.0 58 A 1120.0 1571.4 -771.4 384 0.0 層 R(mm) Z+(mm) Z-(mm) 数　　　角度 1 A 172.0 602.6 -337.9 160 0.0 2 A 182.0 635.3 -355.2 160 0.0 3 A 192.0 668.0 -372.6 160 0.0 4 A 202.0 700.7 -389.9 160 0.0 5 A 212.0 733.4 -407.2 160 0.0 6 A 222.0 766.1 -424.5 160 0.0 7 A 232.0 798.8 -441.8 160 0.0 8 A 242.0 831.5 -459.2 160 0.0 9 U 266.0 910.0 -500.7 160 37.0 10 U 282.0 962.4 -528.4 160 37.1 11 U 298.0 1014.7 -556.2 160 37.3 12 U 314.0 1067.0 -583.9 160 37.4 13 U 330.0 1119.4 -611.6 160 37.4 14 U 346.0 1171.7 -639.3 160 37.5 15 A 368.0 1441.4 -641.4 192 0.0 16 A 384.0 1444.1 -644.1 192 0.0 17 A 400.0 1446.9 -646.9 192 0.0 18 A 416.0 1449.7 -649.7 192 0.0 19 A 432.0 1452.4 -652.4 192 0.0 20 A 448.0 1455.2 -655.2 192 0.0 21 V 464.0 1458.0 -658.0 224 -36.9 22 V 480.0 1460.7 -660.7 224 -38.1 23 V 496.0 1463.5 -663.5 224 -39.3 24 V 512.0 1466.3 -666.3 224 -40.4 25 V 528.0 1469.0 -669.0 224 -41.6 26 V 544.0 1471.8 -671.8 224 -42.7 27 A 562.0 1474.9 -674.9 256 0.0 28 A 580.0 1478.0 -678.0 256 0.0 29 A 598.0 1481.1 -681.1 256 0.0 30 A 616.0 1484.3 -684.3 256 0.0 31 A 634.0 1487.4 -687.4 256 0.0 32 A 652.0 1490.5 -690.5 256 0.0 33 U 670.0 1493.6 -693.6 288 46.8 34 U 688.0 1496.7 -696.7 288 47.9 35 U 706.0 1499.8 -699.8 288 49.0 36 U 724.0 1502.9 -702.9 288 50.1 37 U 742.0 1506.0 -706.0 288 51.2 38 U 760.0 1509.1 -709.1 288 52.3 39 A 778.0 1512.3 -712.3 320 0.0 40 A 796.0 1515.4 -715.4 320 0.0 R+(X+) 内筒なし Z+ Z+

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