The finite element analysis of the bent elliptical cylindrical mirror

Chao QIN; Song XUE; Nan WANG; Xiaopei SUN; Wanqian ZHU

doi:10.11889/j.0253-3219.2018.hjs.41.010101

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The finite element analysis of the bent elliptical cylindrical mirror

SYNCHROTRON RADIATION TECHNOLOGY AND APPLICATIONS | 更新时间：2021-05-19

- The finite element analysis of the bent elliptical cylindrical mirror
- NUCLEAR TECHNIQUES Vol. 41, Issue 1, Article number: 010101(2018)
- 作者机构：
  
  1.中国科学院上海应用物理研究所张江园区上海 201204
  2.中国科学院大学北京 100049
- 作者简介：
- 基金信息：
- DOI：10.11889/j.0253-3219.2018.hjs.41.010101
  CLC： TL503.4
- Received：24 August 2017，
  
  Revised：16 October 2017，
  
  Published：10 January 2018
- 稿件说明：
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Chao QIN, Song XUE, Nan WANG, et al. The finite element analysis of the bent elliptical cylindrical mirror[J]. Nuclear techniques, 2018, 41(1): 010101
DOI：

Chao QIN, Song XUE, Nan WANG, et al. The finite element analysis of the bent elliptical cylindrical mirror[J]. Nuclear techniques, 2018, 41(1): 010101 DOI： 10.11889/j.0253-3219.2018.hjs.41.010101.

摘要

针对上海同步辐射光源二期部分线站对压弯椭圆柱面镜的需求，研制出了一种双拉杆压弯机构。对该机构进行理论计算与分析，建立压弯机构的三维模型，对其进行有限元分析。分别分析了水平聚焦、垂直聚焦、和垂直聚焦（有重力补偿）情况下的面形误差。水平聚焦，拉杆位移分别为9.2 mm、10.1 mm，可以获得与理论椭圆相比面形误差为0.35 μrad的椭圆面形；垂直聚焦，拉杆位移分别为7.4 mm、8.4 mm，面形误差为0.88 μrad，误差较大，所以该机构中需要加装重力补偿装置；使用三点重力补偿，加载合适的补偿力，最终得到拉杆位移分别为9.1 mm、10.1 mm，面形误差为0.45 μrad，满足设计要求。

Abstract

Background

Bent elliptically cylindrical mirror is required for some beam lines of the 2nd phase of Shanghai synchrotron radiation facility (SSRF). A double rod bending mechanism has been developed accordingly.

Purpose

This paper aims to bend an elliptical cylindrical mirror we need by using this mechanism.

Methods

Theoretical calculation and analysis combined with finite element analysis were carried out on this mechanism.

Results

In horizontal focusing

when the displacements of the rod were 9.2 mm and 10.1 mm

the slope error was 0.35 μrad. In vertical focusing

if not using the gravity compensation mechanism

the slope error was 0.88 μrad when the displacements of the rod were 7.4 mm and 8.4 mm

so the gravity compensation mechanism is necessary

and now when the displacements of the rod were 9.1 mm and 10.1 mm

the slope error was 0.45 μrad.

Conclusion

The results can meet our requirements

and this analysis result is useful for the engineering application.

关键词

Keywords

references

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