Analysis of the displacement amplification ratio of bridge-type flexure hinge
Analysis of the displacement amplification ratio of bridge-type flexure hinge
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DOI：
10.1016/j.sna.2005.12.028
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发表时间：
2006-11-20
影响因子：
4.6
通讯作者：
Zhong, Zhi
中科院分区：
文献类型：
--
作者：
Ma, Hong-Wen;Yao, Shao-Ming;Zhong, Zhi
桥式柔性铰链是一种典型的位移放大机构。现有的桥式柔性铰链理论位移放大率模型并不完善。这使得使用这些模型设计和制造令人满意的结构变得非常困难。利用运动学理论分析了桥式柔性铰链的理想位移放大比，将柔性铰链视为具有理想支点的纯多刚体。采用弹性梁理论分析了考虑柔性支点平移刚度和转动刚度时的理论位移放大率。理论位移放大率模型解释了桥式位移放大机构存在放大率极值的原因和阈值所在。用有限元法与数学模型进行了比较，得到了相似的结果。最后，采用有限元法对结构进行了模态分析。结果表明，通过减小柔性支点的厚度来提高放大率，可以降低结构的振型频率。因此，需要重新设计结构来解决问题。(c)2005 Elsevier B.V.保留所有权利。
The bridge-type flexure hinge is a classic displacement amplification mechanism. The existing models of theoretic displacement amplification ratio of bridge-type flexure hinges are not perfect. This makes it very difficult to design and manufacture a satisfactory structure using these models. Kinematic theory was used to analyze the ideal displacement amplification ratio of a bridge-type flexure hinge in this paper, and the flexure hinge was regarded as a pure multi-rigid body with ideal pivots. Elastic beam theory was used to analyze the theoretic displacement amplification ratio when considering the translational and rotational stiffness of the flexure pivots. The model of theoretic displacement amplification ratio explains why the bridge-type displacement amplification mechanism has an amplification ratio extremum and where the threshold is. The finite element method was used for comparison with the mathematical model, and similar results were obtained. Finally, the finite element method was used to analyze the shape mode of the structure. The result showed that increasing the amplification ratio by decreasing the thickness of the flexure pivots led to a decrease in the mode shape frequency of the bridge-type structure. Thus, redesigning of the structure was needed to solve the problem. (c) 2005 Elsevier B.V. All rights reserved.