高带宽两自由度并联柔顺精密定位平台的优化设计与实验

林盛隆; 朱本亮

doi:10.3788/OPE.20192708.1774

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高带宽两自由度并联柔顺精密定位平台的优化设计与实验

微纳技术与精密机械 | 更新时间：2020-08-13

- 高带宽两自由度并联柔顺精密定位平台的优化设计与实验
- Optimal design and experiment of a high-bandwidth two-degree-of-freedom parallel nanopositioning stage
- 光学精密工程 2019年27卷第8期页码：1774-1782
- 作者机构：
  
  华南理工大学广东省精密装备与制造技术重点实验室，广东广州 510640
- 作者简介：
  
  [ "林盛隆(1993-)，男，福建泉州人，博士研究生，2016年于中南大学获得学士学位，主要从事柔顺机构方面的研究。E-mail：294703373@qq.com" ]
  朱本亮(1986-)，男，安徽宿州人，副教授，2014年于华南理工大学获得博士学位，主要从事柔顺机构拓扑优化理论与方法，微纳操作机构及相关设计方法的研究。E-mail: meblzhu@scut.edu.cn ZHU Ben-liang, E-mail:meblzhu@scut.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(51820105007);广州市珠江科技新星项目(201906010061)
- DOI：10.3788/OPE.20192708.1774
  中图分类号： TH132; TH122
- 收稿日期：2019-01-02，
  
  录用日期：2019-3-1，
  
  纸质出版日期：2019-08-15
- 稿件说明：
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林盛隆, 朱本亮. 高带宽两自由度并联柔顺精密定位平台的优化设计与实验[J]. 光学精密工程, 2019,27(8):1774-1782.

Sheng-long LIN, Ben-liang ZHU. Optimal design and experiment of a high-bandwidth two-degree-of-freedom parallel nanopositioning stage[J]. Optics and precision engineering, 2019, 27(8): 1774-1782.
林盛隆, 朱本亮. 高带宽两自由度并联柔顺精密定位平台的优化设计与实验[J]. 光学精密工程, 2019,27(8):1774-1782. DOI： 10.3788/OPE.20192708.1774.

Sheng-long LIN, Ben-liang ZHU. Optimal design and experiment of a high-bandwidth two-degree-of-freedom parallel nanopositioning stage[J]. Optics and precision engineering, 2019, 27(8): 1774-1782. DOI： 10.3788/OPE.20192708.1774.

摘要

针对目前用于原子力显微镜的扫描定位平台带宽低、行程小、耦合性能差等问题，提出了一种基于柔性梁的高带宽两自由度精密定位平台并对该平台进行了优化设计、仿真验证与实验分析。首先，提出了以双端固定梁与平行杂交梁为基础的并联柔顺平台，分别运用卡式第二定理和拉格朗日方程建立了平台刚度和固有频率的数学模型；然后，通过最优化理论获取了平台的最高固有频率及最优设计尺寸，并运用有限元方法验证了优化结果的可靠性；最后，搭建了实验系统，对平台进行了实验研究。实验结果表明：所设计平台的最大行程为12.950 μm×13.517 μm，耦合误差小于1.77%，

，

方向的固有频率分别为12.21和13.50 kHz，在开环条件下可良好地追踪频率小于1 kHz的三角波，有效改善了传统扫描定位平台响应慢、行程小、耦合性能差等问题。

Abstract

A high-bandwidth

two-degree-of-freedom nanopositioning stage based on the optimization of a flexible beam is proposed with the aim of improving the low-bandwidth performance

relative low-travel range

and poor coupling performance of the scanning positioning stage of Atomic Force Microscopy. Design optimization

simulation verification

and experimental analysis of the proposed stage are conducted as part of this process. Firstly

a parallel compliant moving stage composed of a doubly clamped beam and parallel hybrid beam is presented

while Castigliano's second theorem and Lagrange's equation are applied to establish the mathematical model of its stiffness and natural frequency. Then

the maximum natural frequency and optimal size of the stage are obtained using optimization theory

while the optimization result reliability is verified using finite element method software. Finally

an experimental system is built and experiments are conducted on the developed stage. The experimental results indicate that the travel range of the proposed stage is 12.950 μm×13.517 μm

with a coupling error of less than 1.77%. The natural frequencies in the

and

directions are 12.21 kHz and 13.50 kHz

respectively. In open loop

triangular waves with frequencies less than 1 kHz can be tracked well

effectively addressing the problems of slow response

small stroke

and poor coupling performance of the traditional scanning nanopositioning stage.

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references

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