三维桥式放大机构的柔性微定位平台的研究与改进

赵智全; 祝锡晶; 李婧; 崔佳俊

doi:10.16578/j.issn.1004.2539.2024.09.020

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三维桥式放大机构的柔性微定位平台的研究与改进

开发应用 | 更新时间：2024-09-23

- 三维桥式放大机构的柔性微定位平台的研究与改进
  增强出版
- Research and Improvement of Flexible Micro-positioning Platform with a Three-dimensional Bridge-type Amplification Mechanism
- 机械传动 2024年48卷第9期页码：152-159
- 作者机构：
  
  1.中北大学机械工程学院，山西太原 030051
  2.先进制造技术山西省重点实验室，山西太原 030051
- 作者简介：
  
  赵智全（1998— ），男，山西平遥人，硕士；主要研究方向为精密机械、纳米定位技术；13663681481@163.com。
  祝锡晶（1969— ），男，山西祁县人，博士，教授；主要研究方向为精密与特种加工；zxj161501@163.com。
- 基金信息：
  
  国家自然科学基金面上项目(51975540);山西省研究生教育创新项目(2022Y609);山西省自然科学青年基金项目(202203021222041┫先进制造技术山西省重点实验室2022年度开放基金项目┣XJZZ202202)
- DOI：10.16578/j.issn.1004.2539.2024.09.020
  中图分类号：
- 纸质出版日期：2024-09-15，
  
  收稿日期：2023-07-04，
- 稿件说明：
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赵智全,祝锡晶,李婧等.三维桥式放大机构的柔性微定位平台的研究与改进[J].机械传动,2024,48(09):152-159.

Zhao Zhiquan,Zhu Xijing,Li Jing,et al.Research and Improvement of Flexible Micro-positioning Platform with a Three-dimensional Bridge-type Amplification Mechanism[J].Journal of Mechanical Transmission,2024,48(09):152-159.
赵智全,祝锡晶,李婧等.三维桥式放大机构的柔性微定位平台的研究与改进[J].机械传动,2024,48(09):152-159. DOI： 10.16578/j.issn.1004.2539.2024.09.020.

Zhao Zhiquan,Zhu Xijing,Li Jing,et al.Research and Improvement of Flexible Micro-positioning Platform with a Three-dimensional Bridge-type Amplification Mechanism[J].Journal of Mechanical Transmission,2024,48(09):152-159. DOI： 10.16578/j.issn.1004.2539.2024.09.020.

摘要

在微定位平台的设计中，引入能够产生高位移放大倍数的三维桥式放大机构，并在此基础上引入了能够有效减少输出端寄生位移的四杆对称式导向机构，从而使所设计的微定位平台能够充分结合二者优势。根据应变能理论、卡氏第二定理、拉格朗日定理，建立该微定位平台的静动态数学模型，理论分析了平台关键尺寸对平台位移放大倍数的影响；并通过计算获得了最优参数下的放大倍数和固有频率，其值分别为19.90和193.26 Hz。通过有限元方法验证了放大倍数和固有频率，其相对误差分别为4.3%和5.9%，从而证明了所改进的微定位平台的优越性能以及理论分析方法的准确性，为放大机构的柔性微定位平台的数学模型构建提供了一定的理论指导。

Abstract

In the design of the micro-positioning platform

a three-dimensional bridge-type amplification mechanism capable of generating high displacement amplification ratio was introduced. On this basis

a four-bar symmetric guiding mechanism was incorporated to effectively reduce the parasitic displacement at the output end. This design allows the micro-positioning platform to fully leverage the advantages of both mechanisms. By applying the strain energy theory

the second theorem of Castigliano

and Lagrange's theorem

the static and dynamic mathematical models of the micro-positioning platform were established. The theoretical analysis revealed the influence of key dimensions on the displacement amplification ratio of the platform. Through calculation

the amplification ratio and natural frequency were determined to be 19.90 and 193.26 Hz respectively

under the optimal parameters. Finite element analysis was used to verify the amplification ratio and natural frequency

resulting in relative errors of 4.3% and 5.9% respectively. This confirms the superior performance of the improved micro-positioning platform proposed in this study

as well as the accuracy of the theoretical analysis method. It provides theoretical guidance for the mathematical modeling of flexible micro-positioning platforms with amplification mechanisms.

关键词

三维桥式放大机构四杆对称式柔性机构柔性微定位平台卡氏第二定理有限元仿真

Keywords

Three-dimensional bridge-type amplification mechanismFour-bar symmetrical flexible mechanismFlexible micro-positioning platformCastigliano's second theoremFinite element simulation

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