Chinese Journal of Mechanical Engineering >

2018 , Vol. 31 >Issue 1: 9 - 9

DOI: https://doi.org/10.1186/s10033-018-0212-y

Intelligent Manufacturing Technology

Adaptive Shape Control for Thermal Deformation of Membrane Mirror with In-plane PVDF Actuators

  • Yi-Fan Lu ,
  • Hong-Hao Yue ,
  • Zong-Quan Deng ,
  • Horn-Sen Tzou
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  • 1. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China;
    2. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

收稿日期: 2016-07-20

  网络出版日期: 2019-07-23

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Adaptive Shape Control for Thermal Deformation of Membrane Mirror with In-plane PVDF Actuators

  • Yi-Fan Lu ,
  • Hong-Hao Yue ,
  • Zong-Quan Deng ,
  • Horn-Sen Tzou
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  • 1. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China;
    2. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received date: 2016-07-20

  Online published: 2019-07-23

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摘要

Optical membrane mirrors are promising key components for future space telescopes. Due to their ultra-thin and high fexible properties, the surfaces of these membrane mirrors are susceptible to temperature variations. Therefore adaptive shape control of the mirror is essential to maintain the surface precision and to ensure its working performance. However, researches on modeling and control of membrane mirrors under thermal loads are sparse in open literatures. A 0.2 m diameter scale model of a polyimide membrane mirror is developed in this study. Three Polyvinylidene fuoride (PVDF) patches are laminated on the non-refective side of the membrane mirror to serve as in-plane actuators. A new mathematical model of the piezoelectric actuated membrane mirror in multiple felds, (i.e., thermal, mechanical, and electrical feld) is established, with which dynamic and static behaviors of the mirror can be analyzed. A closed-loop membrane mirror shape control system is set up and a surface shape control method based on an infuence function matrix of the mirror is then investigated. Several experiments including surface displacement tracking and thermal deformation alleviation are performed. The deviations range from 15 μm to 20 μm are eliminated within 0.1 s and the residual deformation is controlled to micron level, which demonstrates the efectiveness of the proposed membrane shape control strategy and shows a satisfactory real-time performance. The proposed research provides a technological support and instruction for shape control of optical membrane mirrors.

关键词： Adaptive shape control; Membrane mirror; Thermal deformation; PVDF; Infuence function matrix

本文引用格式

Yi-Fan Lu , Hong-Hao Yue , Zong-Quan Deng , Horn-Sen Tzou . Adaptive Shape Control for Thermal Deformation of Membrane Mirror with In-plane PVDF Actuators[J]. Chinese Journal of Mechanical Engineering, 2018 , 31(1) : 9 -9 . DOI: 10.1186/s10033-018-0212-y

Abstract

Optical membrane mirrors are promising key components for future space telescopes. Due to their ultra-thin and high fexible properties, the surfaces of these membrane mirrors are susceptible to temperature variations. Therefore adaptive shape control of the mirror is essential to maintain the surface precision and to ensure its working performance. However, researches on modeling and control of membrane mirrors under thermal loads are sparse in open literatures. A 0.2 m diameter scale model of a polyimide membrane mirror is developed in this study. Three Polyvinylidene fuoride (PVDF) patches are laminated on the non-refective side of the membrane mirror to serve as in-plane actuators. A new mathematical model of the piezoelectric actuated membrane mirror in multiple felds, (i.e., thermal, mechanical, and electrical feld) is established, with which dynamic and static behaviors of the mirror can be analyzed. A closed-loop membrane mirror shape control system is set up and a surface shape control method based on an infuence function matrix of the mirror is then investigated. Several experiments including surface displacement tracking and thermal deformation alleviation are performed. The deviations range from 15 μm to 20 μm are eliminated within 0.1 s and the residual deformation is controlled to micron level, which demonstrates the efectiveness of the proposed membrane shape control strategy and shows a satisfactory real-time performance. The proposed research provides a technological support and instruction for shape control of optical membrane mirrors.

Key words： Adaptive shape control; Membrane mirror; Thermal deformation; PVDF; Infuence function matrix

参考文献

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