Volume 45 Issue 10
Dec.  2016
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Ni Yingxue, San Xiaogang, Gao Shijie, Wang Jing, Wang Tao, Wu Jiabin, Sang Zhixin, Zhang Nan. Research on flexibility of the novel hybrid flexure hinge[J]. Infrared and Laser Engineering, 2016, 45(10): 1017001-1017001(6). doi: 10.3788/IRLA201645.1017001
Citation: Ni Yingxue, San Xiaogang, Gao Shijie, Wang Jing, Wang Tao, Wu Jiabin, Sang Zhixin, Zhang Nan. Research on flexibility of the novel hybrid flexure hinge[J]. Infrared and Laser Engineering, 2016, 45(10): 1017001-1017001(6). doi: 10.3788/IRLA201645.1017001

Research on flexibility of the novel hybrid flexure hinge

doi: 10.3788/IRLA201645.1017001
  • Received Date: 2016-02-05
  • Rev Recd Date: 2016-03-03
  • Publish Date: 2016-10-25
  • A novel hyperbolic-circular flexure hinge was presented. According to the Castigliano's second theorem, the compliance calculations of the flexure hinge were derived. From the deduced equations, the effects of radius, minimum thickness and depth of cut on the hinge for flexibilities were deeply researched. Meanwhile, the finite element model of the flexible hinge was also built by adopting solid element, and then the simulations of different geometric parameters were obtained. Comparing simulations and analytical solutions explained that:the maximum error is below 8%, which verified the correctness of the equations. In addition, the comparisons on the flexibilities of flexure hinges with various shapes showed that:the hyperbolic-circular flexure hinge had better ability to rotate and higher sensitivity to load. Thus, the design of the new hyperbolic-circular flexure hinges in this paper is more suitable for support structure of Fast Steering Mirror and provides a theoretical basis for design and optimization of hybrid flexure hinges.
  • [1] Nicolae Lobontiu, Jeffrey S N Paine, Edward O'Malley. Parabolic and hyperbolic flexure hinges:flexibility, motion precision and stress characterization based on compliance closed-form equations[J]. Precision Engineering, 2002, 26:183-192.
    [2] Xu Hong, Guan Yingjun. Structural design of large aperture SiC mirror subassembly[J]. Infrared and Laser Engineering, 2014, 43(1):83-88. (in Chinese)
    [3] Wang Rongqi, Zhou Xiaoqin, Zhu Zhiwei, et al. Development of a novel type of hybrid non-symmetric flexure hinges[J]. Rev Sci Instrum, 2015, 86(8):289-298.
    [4] Liu Fuhe, Cheng Zhifeng. Design and analysis of supporting structure for rectangular mirror[J]. Infrared and Laser Engineering, 2015, 44(5):1512-1517. (in Chinese)
    [5] Shi R C, Dong W, Du Z J. Design methodology and performance analysis of application-oriented flexure hinges[J]. Rev Sci Instrum, 2013, 84:1-4.
    [6] Yong Yuenkuan, Lu Tienfu, Handley D C. Review of circular flexure hinge design equations and derivation of empirical formulation[J]. Precision Engineering, 2008, 32(2):63-70.
    [7] Lu Yafei. Research on fast steering mirror system[D]. Changsha:National University of Defense Technology, 2009. (in Chinese)
    [8] Lu Qian, Huang Weiqing. Optimization design of deep-notch elliptical flexure hinges[J]. Optics and Precision Engineering, 2015, 23(1):207-214. (in Chinese)
    [9] Ren Ning, Wang Changlu, Ou Kailiang, et al. Research on rigidity of the novel hyperbolic-rectangle flexure hinges[J]. Journal of Mechanical Strength, 2012, 34(5):781-785. (in Chinese)
    [10] Lin Rongzhou, Zhang Xianmin, Sergej Fatikow. Hybrid flexure hinges[J]. Rev Sci Instrum, 2013, 84(84):085004.
    [11] Zhou Ziyun, Gao Yunguo, Shao Shuai, et al. Design of fast steering mirror using flexible hinge[J]. Optics and Precision Engineering, 2014, 22(6):1547-1554. (in Chinese)
    [12] Wu Yingfei, Zhou Zhaoying. Dedign of flexure hinge[J]. Engineering Mechanics, 2002, 19(6):136-140. (in Chinese)
    [13] Stuar T Smith, Vivek G Badami, Jami S Dale. Elliptical flexure hinges[J]. Rev Sci Instrum, 1997, 8(3):1474-1482.
    [14] Zhang Zhijie, Yuan Yibao. Research on half hyperbolic flexure hinge based on closed-form compliance equations[J]. Chinese Journal of Scientific Instrument, 2007, 28(6):1055-1059. (in Chinese)
    [15] Yang Chunhui. Analysis of the influence of straight beam flexible hinge structure parameter on the stiffness[J]. Journal of Mechanical Transmission, 2010, 34(9):17-19. (in Chinese)
    [16] Li Haixing, Ding Yalin. Mirror support structure with two mutually perpendicular single-axis circular flexure hinges[J]. Infrared and Laser Engineering, 2013, 42(7):1765-1769. (in Chinese)
    [17] Zhang Zhijie, Yuan Yibao. Compliances calculation and analysis of typical flexure hinge[J]. Engineering Mechanics, 2008, 25(4):106-110. (in Chinese)
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Research on flexibility of the novel hybrid flexure hinge

doi: 10.3788/IRLA201645.1017001
  • 1. University of Chinese Academy of Sciences,Beijing 100049,China;
  • 2. Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;
  • 3. Changchun Observatory,National Astronomical Observatories,Chinese Academy of Sciences,Changchun 130117,China

Abstract: A novel hyperbolic-circular flexure hinge was presented. According to the Castigliano's second theorem, the compliance calculations of the flexure hinge were derived. From the deduced equations, the effects of radius, minimum thickness and depth of cut on the hinge for flexibilities were deeply researched. Meanwhile, the finite element model of the flexible hinge was also built by adopting solid element, and then the simulations of different geometric parameters were obtained. Comparing simulations and analytical solutions explained that:the maximum error is below 8%, which verified the correctness of the equations. In addition, the comparisons on the flexibilities of flexure hinges with various shapes showed that:the hyperbolic-circular flexure hinge had better ability to rotate and higher sensitivity to load. Thus, the design of the new hyperbolic-circular flexure hinges in this paper is more suitable for support structure of Fast Steering Mirror and provides a theoretical basis for design and optimization of hybrid flexure hinges.

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