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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 - PowerPoint PPT Presentation
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1
Mechanical calculations of the CDC end-plates
KEK H. Yamaoka
July 8th, '09KEK H. Yamaoka
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Introduction
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.
CDC
End-plate
Deformation(< 5mm), Stress?Buckling strength?
~R
10
90
~2400
3
Wire configuration Given by Taniguchi-san
4
Distributions of wire tension in R-direction
5
0.3
kg/mm1073.0EEE
:Al
0.3
kg/mm769G
kg/mm101.1E
kg/mm100.2E
kg/mm102.0E
Cyl.r Outer/Inne:CFRP
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0.3
5769kg/mmG
kg/mm100.2E
kg/mm100.2E
kg/mm101.5E
Plates End:CFRP
xy
24zr
xy
2xy
24z
24
24r
xy
2xy
24z
24
24r
xy
rxy
EG
Material propertiesLoad conditions
Constraints
R: Free: FixedZ: fixedRotR: FixedRot: FreeRotZ: fixed
Total: 3725kg
Definitions for FEM
No inner cylinder
6
2.9mm 2.7mm
31MPa
Results - End-plates: 10mm-thick(Al), Outer-cylinder(CFRP): 5mm-thick.
Deformation
Stress
Deformation
Stress
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Calculations of buckling strengthRef: E.H.Baker, et. al. 'STRUCTURAL ANALYSIS OF SHELLS'
The buckling strength of the outer/inner cylinder is calculated.
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Material: CFRP
Dia. 340mm
Length: 1000mm E: 110GPa : 0.3
2322kg
4.54.01702
2
:load Buckling
545.4
170
4.0101.16.035.01
170
4.0
105.1
6.0C
0.35
is , therefore425, 170/0.4R/t
fig.10 from Determined :
buckling elasticfor 1 :
stress Buckling :
2
4
24
c
crcr
ccr
cr
ccr
rtP
MPammkg
R
EtC
mmR
mmt
mmkgE
R
EtC
12474kg
6.148.01702
2
:load Buckling
14614.6
170
8.0101.16.047.01
170
8.0
105.1
6.0C
0.47
is , therefore212.5, 170/0.8R/t
fig.10 from Determined :
buckling elasticfor 1 :
stress Buckling :
2
4
24
c
crcr
ccr
cr
ccr
rtP
MPammkg
R
EtC
mmR
mmt
mmkgE
R
EtC
t=0.4mm t=0.8mmBuckling strength: Inner cylinder
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Assumptions
Material: CFRP
Dia. 2190mm
Length: 2328mm
E: 110GPa
: 0.3
315039kg
9.130.510902
2
:load Buckling
13913.9
1090
4.0101.16.046.01
170
5
101.1
6.0C
0.46
is , therefore218, 1090/5.R/t
fig.10 from Determined :
buckling elasticfor 1 :
stress Buckling :
2
4
24
c
crcr
ccr
cr
ccr
rtP
MPammkg
R
EtC
mmR
mmt
mmkgE
R
EtC
8218kg
2.10.110902
2
:load Buckling
121.2
1090
0.1101.16.02.01
1090
0.1
101.1
6.0C
0.2
is , therefore1090, 1090/1.0R/t
fig.10 from Determined :
buckling elasticfor 1 :
stress Buckling :
2
4
24
c
crcr
ccr
cr
ccr
rtP
MPammkg
R
EtC
mmR
mmt
mmkgE
R
EtCIf t=5.0mm
If t=1.0mm
Wire tension: 3725kg
Buckling strength: Outer cylinder
10
Outer Cyl.
CFRP Thikness Deformation Stress Deformation Stres5mm 2mm 17.6mm 312MPa 13.0mm 616MPa5 3 11.6 180 8.3 3275 4 8.6 118 6.0 1935 5 6.8 85 4.7 1235 6 5.5 66 3.7 865 7 4.6 53 3.1 735 8 3.8 44 2.6 635 9 3.3 37 2.2 555 10 2.9 32 1.9 48
1 10 3.5 33 2.5 512 10 3.0 33 2.2 503 10 3.2 33 2.0 504 10 3.0 32 2.0 49
End Plates(Al) End Plates(CFRP)
Tensile(t) N/mm2
Yeild(σy) N/mm2
F -1 F-1=σy 205 195 205F-2 F-2=0.7*σt 280 161 364F Smaller value 205 161 205
Allowable stress(MPa)Long Short Long Short Long Short
Tension ft=F/1.5 137 205 107 161 137 205
Shearing fs=F/(1.5√ 3) 79 118 62 93 79 118
Bending fb=F/1.3 158 237 124 186 158 237
Hertz stress fp=F/1.1 186 280 146 220 186 280
Bolt(Tension) ft=F/2 103 154 81 121 103 154
Bolt(Shear) fs=F/(1.5√ 3) 79 118 62 93 79 118
Bolt(Hertz) fp=1.25F 256 384 201 302 256 384
Roller fp=1.9F 390 584 306 459 390 584
Welding(PT) fs=F/(1.5√ 3) 79 118 62 93 79 118
Welding(No PT) fs=0.45F/(1.5√ 3) 36 53 28 42 36 53
Long term:
Short term:
400220
230195
520205
StainlessMaterial SS400
SUS304AluminumA5052-H32
Conditions
Static load
Seismic, Thermal load
Long x 1.5
Calculation results in various parameters
Allowable stress ( Japanese: Koukozo sekkei kijun ) This criterion was used for the mechanical design of the Belle.
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- 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.
Configuration
END
ConclusionMade by Kohriki-san
http://wiki.kek.jp/display/~yamaokah/CDC
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13
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 0.031 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
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
張力分布 (リスト )
Z+
1
X
Y
Z
End plates(Al): t10mm, Outer cyl.(CFRP): t5mm
JUN 23 200914:13:28
NODES
内筒なしZ+
R+(X+)