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新型单轴柔性铰链拓扑结构设计与柔度分析

邱丽芳 陈海翔 吴友炜

邱丽芳, 陈海翔, 吴友炜等 . 新型单轴柔性铰链拓扑结构设计与柔度分析[J]. 北京航空航天大学学报, 2018, 44(6): 1133-1140. doi: 10.13700/j.bh.1001-5965.2017.0388
引用本文: 邱丽芳, 陈海翔, 吴友炜等 . 新型单轴柔性铰链拓扑结构设计与柔度分析[J]. 北京航空航天大学学报, 2018, 44(6): 1133-1140. doi: 10.13700/j.bh.1001-5965.2017.0388
QIU Lifang, CHEN Haixiang, WU Youweiet al. Topological structure design and compliance analysis of a new single-axis flexure hinge[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(6): 1133-1140. doi: 10.13700/j.bh.1001-5965.2017.0388(in Chinese)
Citation: QIU Lifang, CHEN Haixiang, WU Youweiet al. Topological structure design and compliance analysis of a new single-axis flexure hinge[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(6): 1133-1140. doi: 10.13700/j.bh.1001-5965.2017.0388(in Chinese)

新型单轴柔性铰链拓扑结构设计与柔度分析

doi: 10.13700/j.bh.1001-5965.2017.0388
基金项目: 

国家自然科学基金 51475037

详细信息
    作者简介:

    邱丽芳  女, 博士, 教授。主要研究方向:机械设计及理论、柔性机构设计及研究

    通讯作者:

    邱丽芳, E-mail:qlf@ustb.edu.cn

  • 中图分类号: TH122

Topological structure design and compliance analysis of a new single-axis flexure hinge

Funds: 

National Natural Science Foundation of China 51475037

More Information
  • 摘要:

    采用基于三维连续体拓扑优化理论的变密度法,以柔性铰链柔度比最大为目标,建立了单轴柔性铰链的拓扑优化模型。首先,借助OptiStruct软件设计出一种具有全新三维拓扑结构的单轴柔性铰链;其次,结合卡氏第二定理和能量法对该新型柔性铰链的转动性能进行理论分析,推导出该新型柔性铰链的柔度矩阵,通过16组实例的理论计算和有限元仿真分析,得到其相对误差在6.35%以内,验证了该新型柔性铰链柔度矩阵理论公式的正确性;最后,分析了具有相同切口轮廓的圆弧型柔性铰链和新型柔性铰链的柔度差异。结果表明:新型柔性铰链具有更大的柔度,其柔度性能提升300%。使用三维连续体拓扑优化方法,可为单轴柔性铰链的设计提供一个新思路。

     

  • 图 1  拓扑优化区域与工况示意图

    Figure 1.  Schematic of topology optimization area and working conditions

    图 2  拓扑优化模型的正视图和中心漂移

    Figure 2.  Front view and center drift of topology optimization model

    图 3  拓扑优化过程和结果

    Figure 3.  Process and results of topology optimization

    图 4  新型柔性铰链三维图

    Figure 4.  3D drawing of new flexure hinge

    图 5  新型柔性铰链俯视图、正视图及参数

    Figure 5.  Top and front view of new flexure hinge with parameters

    图 6  柔性铰链等效弹簧刚度示意图

    Figure 6.  Schematic of flexure hinge's equivalent spring stiffness

    图 7  i个弯曲片段简化悬臂梁示意图

    Figure 7.  Schematic of the ith bending segment's simplified cantilever beam

    图 8  新型柔性铰链有限元仿真分析

    Figure 8.  FEA of new flexure hinge

    图 9  2种柔性铰链Cθy-MyCz-Fz柔度项对比

    Figure 9.  Comparison of compliance item Cθy-My and Cz-Fz between two flexure hinges

    图 10  2种柔性铰链柔度比对比

    Figure 10.  Comparison of compliance ratio χ between two flexure hinges

    表  1  新型柔性铰链柔度理论值与仿真值对比

    Table  1.   Comparison of theoretical and simulation compliance values of new flexure hinge

    R/mm t/mm Cθy-My Cz-Fz Cx-Fx
    理论值/(10-4rad·(N·mm)-1) 仿真值/(10-4rad·(N·mm)-1) 相对误差/% 理论值/(10-2N-1·mm) 仿真值/ (10-2N-1· mm) 相对误差/% 理论值/ (10-6N-1· mm) 仿真值/ (10-6N-1· mm) 相对误差/%
    4 0.2 64.442 66.383 3.01 10.420 10.770 3.36 37.143 38.302 3.12
    4 0.3 23.106 23.298 0.83 3.775 3.805 0.79 28.384 28.538 0.54
    4 0.4 11.298 11.005 2.59 1.858 1.810 2.58 23.641 22.985 2.77
    4 0.5 6.202 6.123 1.27 1.026 1.014 1.17 19.700 19.352 1.77
    6 0.2 77.907 78.843 1.20 28.263 28.695 1.53 42.968 43.792 1.92
    6 0.3 28.290 27.365 3.27 10.316 10.023 2.84 33.563 32.419 3.41
    6 0.4 13.458 12.810 4.81 4.927 4.724 4.12 27.114 26.029 4.00
    6 0.5 7.401 7.073 4.43 2.720 2.626 3.46 22.915 21.882 4.51
    8 0.2 86.393 88.427 2.35 55.480 57.161 3.03 46.336 47.892 3.36
    8 0.3 31.454 30.408 3.33 20.309 19.784 2.59 36.874 35.342 4.15
    8 0.4 14.781 14.133 4.38 9.571 9.259 3.26 29.199 28.345 2.92
    8 0.5 8.288 7.761 6.36 5.282 5.012 5.11 25.165 23.827 5.32
    10 0.2 95.256 96.204 1.00 95.177 97.148 2.07 50.632 51.210 1.14
    10 0.3 34.478 32.827 4.79 34.696 33.372 3.82 38.963 37.730 3.16
    10 0.4 16.066 15.174 5.55 16.209 15.534 4.16 31.940 30.258 5.27
    10 0.5 8.849 8.299 6.22 8.997 8.557 4.89 26.450 25.449 3.78
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出版历程
  • 收稿日期:  2017-06-07
  • 录用日期:  2017-10-16
  • 网络出版日期:  2018-06-20

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