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

2 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? ~R1090 ~2400

3 Wire configuration Given by Taniguchi-san

4 Distributions of wire tension in R-direction

5 Material properties Load conditions Constraints R: Free  : Fixed Z: fixed RotR: Fixed Rot  : Free RotZ: 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

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

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

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

11 - 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 Conclusion Made by Kohriki-san

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13 層 R(mm) Z+(mm) Z-(mm) 数 角度 1 A A A A A A A A U U U U U U A A A A A A V V V V V V A A A A A A U U U U U U A A 層 R(mm) Z+(mm) Z-(mm) 数 角度 41 A A A A V V V V V V A A A A A A A A 張力分布 ( リスト ) Z+ 内筒なし Z+ R+(X+)