引用本文: 叶果, 李威, 王禹桥, 杨雪锋, 余凌. 柔性桥式微位移机构位移放大比特性研究[J]. 机器人, 2011, 33(2): 251-256.
YE Guo, LI Wei, WANG Yuqiao, YANG Xuefeng, YU Ling. Analysis on Displacement Amplification Ratio of a Flexible Bridge-Type Micro-Displacement Mechanism[J]. ROBOT, 2011, 33(2): 251-256.
 Citation: YE Guo, LI Wei, WANG Yuqiao, YANG Xuefeng, YU Ling. Analysis on Displacement Amplification Ratio of a Flexible Bridge-Type Micro-Displacement Mechanism[J]. ROBOT, 2011, 33(2): 251-256.

## Analysis on Displacement Amplification Ratio of a Flexible Bridge-Type Micro-Displacement Mechanism

• 摘要: 为了分析柔性桥式微位移放大机构的位移放大比特性，利用桥式微位移放大机构的结构全对称性，建立了微位移放大机构的1/4数学模型.采用矩阵法建立了其柔度矩阵，进而推导了桥式位移放大机构的输出位移公式及位移放大比公式.采用ANSYS 11.0软件进行了有限元仿真，并与理论模型进行了分析比较.最后，设计加工了一个实验样件，对理论模型进行验证.结果表明：放大机构的位移放大比对柔性铰链间距最为敏感，随着柔性铰链间距的增大，位移放大比先急剧增大后缓慢减小，桥式微位移放大机构理论上可以达到40倍以上的位移放大比，但此时误差失真严重，因而位移放大比不宜设计过大.

Abstract: In order to analyze the characteristic of displacement amplification ratio of flexible bridge-type micro-displacement amplifier,a quarter mathematic model is established by using the symmetrical structure of bridge-type micro-displacement amplifier.The formulas for calculating output displacement and displacement amplification ratio of the bridgetype amplifier are derived by adopting the matrix method to deduce the compliance matrix of the mechanism.Finite element simulation is carried out by software ANSYS11.0,and then compared with the theoretical model.Finally,an experimental sample is designed and fabricated to verify the theoretical model.The results show that the displacement amplification ratio of the amplifier is most sensitive to the distance between two flexure hinges;as the distance increases,the displacement amplification ratio increases sharply at first and then decreases slowly;theoretically speaking,the amplifier can get a displacement amplification ratio for more than 40 times,but the error will be amplified at the same time,so the displacement amplification ratio of the bridge-type micro-displacement mechanism should not be too large.

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