摘要
针对目前传统菱形位移放大机构的输出刚度、固有频率和位移放大比无法同时提高的问题,提出了一种双臂复合菱形柔性机构,并介绍了其理论设计与建模方法。基于欧拉-伯努利梁理论和卡氏第二定理,推导出双臂复合菱形柔性机构的位移放大比和刚度解析模型,利用拉格朗日方程建立了该柔性机构的固有频率解析模型,并通过商业有限元软件验证了解析模型的准确性。根据理论计算结果,通过电火花切割工艺加工出复合柔性机构,并与相同尺寸参数的传统菱形位移放大机构进行实验比较研究。实验结果表明,压电双层臂柔性机构的固有频率为1330Hz,位移放大比为4.2,同时提高了固有频率和放大比。此外,所建立的位移放大比和固有频率力学解析模型可以为新型压电柔性机构的优化设计提供理论指导。
Design and modeling of a new diamond micro-displacement mechanism with double flexible beams was presented to overcome the issue that the output stiffness,natural frequency and displacement amplification ratio of the traditional diamond displacement amplification mechanism might not be improved at the same time.The static analysis model of displacement amplification ratio and input/output stiffness of the mechanism were derived based on Castigliano＇s second theorem.Analytical model of natural frequency was also deduced by further employing the Lagrange equation.The finite element analysis was used to verify the accuracy of the analytical models.A prototype of the proposed compliant mechanism was machined by means of electric spark cutting processes and the performance measurement was performed for comparative analysis with the traditional mechanism with the same dimensions.Experimental results show that the natural frequency of the composite compliant mechanism is as 1330 Hz and displacement amplification ratio is as 4.2.In addition,the modeling method and the corresponding theoretical formula proposed herein may provide a useful reference for the optimal design and development of similar displacement amplification mechanisms.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2017年第21期2557-2561,2566,共6页
China Mechanical Engineering
基金
国家自然科学基金资助项目(51575426
51421004)
关键词
压电执行器
微位移放大
柔性铰链
三角形位移放大机构
piezoelectric actuator
displacement amplification
flexure hinge
triangle displacement amplification mechanism
