分布柔度桥式位移放大机构静动力学性能研究
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国家自然科学基金资助项目(51605275,51705305);上海高校青年教师培养资助计划专项基金资助项目(ZZGCD15085)

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Study on Static and Dynamic Performances of Distributedcompliance Bridgetype Displacement Amplification Mechanism
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    摘要:

    该文对分布柔度桥式位移放大机构的放大比、刚度特性及固有频率等静动力学性能进行了研究。首先,根据柔性梁单元的刚度矩阵建立了该放大机构的位移放大比及其输入刚度解析模型。随后根据柔性梁的变形曲线方程,通过求解变形曲线对时间的导数,得到梁上任一点速度以获得柔性梁在机构振动过程中动能表达,在此基础上,利用拉格朗日法建立了具有3个广义坐标的桥式放大机构的振动方程,并得到其工作方向的固有频率。最后利用有限元与实验方法对其动力学性能进行了测试。实验结果表明,解析计算结果与有限元分析及实验结果较吻合,证明了所建立的解析模型的准确性。

    Abstract:

    In this paper,the amplification ratio, the stiffness and the natural frequency of the distributed-compliance bridgetype displacement amplification mechanism are studied. First, the analytical model of the displacement amplification ratio and stiffness properties is established based on the stiffness matrix of flexible beam element. Then, by solving the derivatives of deformation curves of beams versus time, the velocity of any point on the beam can be calculated to obtain the expression of kinetic energy in the vibrating beams. On this basis, the vibration equation of the bridgetype amplification mechanism with 3 generalized coordinates is established by using the Lagrange method, and the natural frequency in the working direction is obtained. Finally, the finite element analysis and the experimental verification are conducted to test the static and dynamic performances of the bridgetype mechanism. The experimental results indicate that the analytical results with respect to the finite element analysis and experimental results are in good agreement, which demonstrate the high accuracy of the analytical model.

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赖磊捷,梅峻华,朱姿娜.分布柔度桥式位移放大机构静动力学性能研究[J].压电与声光,2018,40(2):251-256. LAI Leijie, MEI Junhua, ZHU Zina. Study on Static and Dynamic Performances of Distributedcompliance Bridgetype Displacement Amplification Mechanism[J]. PIEZOELECTRICS AND ACOUSTOOPTICS

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  • 在线发布日期: 2018-04-16
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