Stiffness allocation and analysis of TMT M3S

YANG Fei; LIU Guo-jun; ZHAO Hong-chao; ZHANG Jing-xu

doi:10.3788/OPE.20162401.0152

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Stiffness allocation and analysis of TMT M3S

更新时间：2020-08-13

- Stiffness allocation and analysis of TMT M3S
- Optics and Precision Engineering Vol. 24, Issue 1, Pages: 152-159(2016)
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所,吉林长春,中国,130033
  2. 长春理工大学高功率半导体激光国家重点实验室,吉林长春,130022
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20162401.0152
  CLC： TH751
- Received：20 March 2015，
  
  Revised：15 May 2015，
  
  Published：25 January 2016
- 稿件说明：
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杨飞, 刘国军, 赵宏超等. 30 m望远镜三镜系统刚度分配与分析[J]. 光学精密工程, 2016,24(1): 152-159

YANG Fei, LIU Guo-jun, ZHAO Hong-chao etc. Stiffness allocation and analysis of TMT M3S[J]. Editorial Office of Optics and Precision Engineering, 2016,24(1): 152-159
杨飞, 刘国军, 赵宏超等. 30 m望远镜三镜系统刚度分配与分析[J]. 光学精密工程, 2016,24(1): 152-159 DOI： 10.3788/OPE.20162401.0152.

YANG Fei, LIU Guo-jun, ZHAO Hong-chao etc. Stiffness allocation and analysis of TMT M3S[J]. Editorial Office of Optics and Precision Engineering, 2016,24(1): 152-159 DOI： 10.3788/OPE.20162401.0152.

摘要

为满足30 m望远镜(TMT)三镜系统(M3S)对质量和刚度的要求

研究了合理分配该系统各部分刚度的方法。针对M3S的第一阶谐振频率不小于15 Hz的要求

本文基于M3S的结构组成对模型进行适当地简化

然后使用前期设计数据建立了四质量点弹簧-质点模型。研究了三镜支撑系统支撑刚度的组成

使用特征值反解的方法得到了简化模型在6个广义方向上的刚度矩阵。最后

给出了系统中所有弹簧代表的刚度

并将这一简化模型和计算结果用来指导后期的结构设计和控制设计。使用运动学仿真软件Adams对分配结果进行了验证

验证结果显示

M3S各部分刚度配比合理

系统的基频能够达到15.1 Hz

满足设计要求。采用本文的刚度分配方法

可以有效地提高系统设计的效率与合理性。

Abstract

To meet the requirements of the Tertiary Mirror System (M3S) in a Thirty Meter Telescope(TMT) for mass and stiffness

how to allocate rationally the stiffness for different parts in the system was researched. As the first-order resonant frequency of M3S should not be less than 15 Hz

the composition of M3S was researched

then a four-point lumped-mass model was established by the pre-designed data. Furthermore

the stiffness of the mirror support system was calculated

and an eigenvalue inverse solution was used to obtain the stiffness matrix of a simplified model in six global directions. Finally

stiffness of all springs in the system was given

and the simplified model and the calculated results were used to guide the structure design and control design later. The simulation software Adams was used to verify the stiffness allocation and analysis process. The results show that the stiffness allocation of the M3S is reasonable and the first modal frequency of the system can achieve to 15.2 Hz

which meets the design requirements. With the stiffness allocation

the system design can offer higher efficiency and rationality.

关键词

Keywords

references

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