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工程设计学报  2022, Vol. 29 Issue (2): 161-167    DOI: 10.3785/j.issn.1006-754X.2022.00.019
创新设计     
三角混合两级杠杆微位移放大机构的设计及性能分析
丰飞1(),傅雨晨2,范伟2,马举2
1.龙岩技师学院,福建 龙岩 364000
2.华侨大学 机电及自动化学院,福建 厦门 361021
Design and performance analysis of triangular hybrid two-stage lever micro-displacement amplification mechanism
Fei FENG1(),Yu-chen FU2,Wei FAN2,Ju MA2
1.Longyan Technician College, Longyan 364000, China
2.College of Mechanical Engineering and Automation, Huaqiao University, Xiamen 361021, China
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摘要:

针对压电执行器和压电驱动平台输出行程有限的问题,设计了一种三角混合两级杠杆微位移放大机构。首先,理论推导了该微位移放大机构的位移放大公式,得到了位移放大比;其次,分析了不同类型两级杠杆结构支点铰链对施加载荷的敏感性;最后,利用ANSYS软件对机构进行静力学和动力学仿真,对机构的相对寄生运动比和固有频率进行了分析。结果表明:当选取直梁形铰链作为两级杠杆结构的支点铰链时,机构对施加载荷的敏感性较强;机构位移放大比理论值与仿真值的相对误差为9.56%,相对寄生运动比为0.348 2,且1阶固有频率最佳。所设计的微位移放大机构具有较小的寄生位移、较强的抗干扰能力和较好的动力学性能。研究结果为压电驱动器或快速反射镜支撑结构实现大量程的位移输出提供了一定的理论指导。

关键词: 三角混合两级杠杆有限元分析寄生位移固有频率    
Abstract:

Aiming at the limited output stroke of piezoelectric actuator and piezoelectric driving platform, a triangular hybrid two-stage lever micro-displacement amplification mechanism was designed. Firstly, the displacement amplification formula of the micro-displacement amplification mechanism was deduced theoretically, and the displacement amplification ratio was obtained; secondly, the sensitivity of fulcrum hinges of two-stage lever structure with different types to applied load was analyzed; finally, the static and dynamic simulation of the mechanism was carried out by using ANSYS software, and the relative parasitic motion ratio and natural frequency of the mechanism were analyzed. The results showed that when the straight beam hinge was selected as the fulcrum hinge of the two-stage lever structure, the mechanism was more sensitive to the applied load; the relative error between the theoretical value and the simulation value of the mechanism displacement amplification ratio was 9.56%, the relative parasitic motion ratio was 0.348 2,and the first natural frequency was the best. The designed micro-displacement amplification mechanism has relatively small parasitic displacement, relatively strong anti-interference capability and relatively good dynamic performance. The research result provides a certain theoretical guidance for the piezoelectric driver or fast mirror support structure to realize a large range of displacement output.

Key words: triangular hybrid two-stage lever    finite element analysis    parasitic displacement    natural frequency
收稿日期: 2021-04-26 出版日期: 2022-05-06
CLC:  TH 12  
基金资助: 国家自然科学基金资助项目(51505161);福建省自然科学基金资助项目(2020J01068);福建省引导性项目(2018H0021)
作者简介: 丰 飞(1980—),男,江苏丹徒人,讲师,硕士,从事机械设计与制造及控制理论研究,E-mail:33074641@qq.comhttp://orcid.org/0000-0003-1237-2533
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引用本文:

丰飞,傅雨晨,范伟,马举. 三角混合两级杠杆微位移放大机构的设计及性能分析[J]. 工程设计学报, 2022, 29(2): 161-167.

Fei FENG,Yu-chen FU,Wei FAN,Ju MA. Design and performance analysis of triangular hybrid two-stage lever micro-displacement amplification mechanism[J]. Chinese Journal of Engineering Design, 2022, 29(2): 161-167.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2022.00.019        https://www.zjujournals.com/gcsjxb/CN/Y2022/V29/I2/161

图1  三角混合两级杠杆微位移放大机构的结构
图2  三角混合两级杠杆微位移放大机构工作原理示意
图3  三角结构和两级杠杆结构工作原理示意
参数tRdL1L2L3L6
数值0.41.252.52081020
表1  三角混合两级杠杆微位移放大机构的结构参数 (mm)
输入载荷/MPa最大应力/MPa最大输出位移/um
直圆形铰链直圆长形铰链直梁形铰链直圆形铰链直圆长形铰链直梁形铰链
0.494.471111.49121.0854.94182.67385.379
0.8188.94222.99242.17109.88146.97170.76
1.2283.41334.48363.25164.82248.02256.14
1.6377.88445.97484.34219.76330.69341.52
2.0472.36557.47605.42274.70413.36426.89
表 2  三角混合两级杠杆微位移放大机构在不同输入载荷下最大应力、最大输出位移的有限元仿真结果
图4  输入载荷为2.0 MPa时三角混合两级杠杆微位移放大机构的最大应力和最大输出位移
图5  Δx=10 μm时三角混合两级杠杆微位移放大机构的应力云图和总输出位移
图6  三角混合两级杠杆微位移放大机构前六阶模态
模态第1阶第2阶第3阶第4阶第5阶第6阶
固有频率305.90376.43413.20471.481 098.201 163.40
表 3  三角混合两级杠杆微位移放大机构的固有频率 (Hz)
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