Journal of South China University of Technology(Natural Science) >

2024 , Vol. 52 >Issue 12: 1 - 13

DOI: https://doi.org/10.12141/j.issn.1000-565X.240007

Mechanical Engineering

Optimization Design and Experiment of XY Compliant Platform with Local Resonance Damping

  • CHEN Zhong ,
  • QIU Yuliang ,
  • ZHANG Xianmin
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  • School of Mechanical and Automotive Engineering，South China University of Technology，Guangzhou 510640，Guangdong，China
陈忠（1968—），男，博士，教授，主要从事柔顺机构动力学、机器视觉及其应用、精密测量、故障诊断研究。E-mail： mezhchen@scut.edu.cn

Received date: 2024-01-09

  Online published: 2024-06-25

Supported by

the Natural Science Foundation of Guangdong Province(2022A1515011263)

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Abstract

A compliant precision positioning platform is a core component of precision equipment. The high-speed and high-precision positioning operation requires the platform to possess high response speed and good regulation capabilities. Passive damping can effectively enhance the platform’s rapid response capabilities. To improve the rapid response capability of an XY compliant positioning platform with local resonance damping, this paper proposes an optimization design method that comprehensively enhances modal damping and natural frequency. In the investigation, firstly, based on elasticity theory and Castigliano’s second theorem, the platform stiffness is analytically modeled and synthesized, and the expression for the platform’s natural frequency is derived. Subsequently, aiming at the maximum control gain, a single-objective optimization function composed of natural frequency and the frequency response curve area of the resonant region is formulated, along with the mathematical expression for the platform optimization design problem and a ABAQUS-Python-Matlab joint optimization model. Then, to simplify the complexity of finite element calculations, an equivalent structure for the optimized platform based on the first-order fixed frequency equivalence is established. Moreover, simulation analysis of the optimized platform is conducted, and the optimization design results are compared and analyzed to verify the correctness of the natural frequency analytical expression. Finally, an experimental platform is constructed to perform static, dynamic and trajectory tracking experiments on the XY compliant platform with local resonance damping. The results demonstrate that the proposed comprehensive optimization method can increase the X-axis and Y-axis control bandwidths of the platform respectively by 7.42% and 24.70%, and effectively enhance the trajectory tracking performance of the system.

Key words： compliant platform; optimization design; local resonance damping; control bandwidth; finite element analysis; trajectory tracking

Cite this article

CHEN Zhong , QIU Yuliang , ZHANG Xianmin . Optimization Design and Experiment of XY Compliant Platform with Local Resonance Damping[J]. Journal of South China University of Technology(Natural Science), 2024 , 52(12) : 1 -13 . DOI: 10.12141/j.issn.1000-565X.240007

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