Optics and Precision Engineering, Volume. 29, Issue 10, 2400(2021)

Optimal order polynomial motion profile for high-precision flexible scanning platform

Long-hui LI1...3, Zhi-qi ZHANG2,3, Zhen GUO2,3, Yuan-yuan LUO2,3, Lian-qun ZHOU1,2,3,*, and Jia YAO34,* |Show fewer author(s)
Author Affiliations
  • 1School of Mechanical and Electrical Engineering,Changchun University of Science and Technology, Changchun30022, China
  • 2University of Science and Technology of China, Hefei3006, China
  • 3Key Laboratory of Bio-medical Diagnosis, Chinese Academy of Sciences,Suzhou Institute of Biomedical Engineering and Technology,Chinese Academy of Sciences, Suzhou21516, China
  • 4School of Electronic and Information Engineering, Soochow University, Suzhou215006, China
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    Figures & Tables(13)
    Trapezoidal motion profile
    Third order polynomial motion profile
    Fourth order polynomial motion profile
    Simplified model of flexible structure
    (a)Simulation results of residual vibration; (b) Ts3,Ts2,Ts1: settling time of fourth, fifth and sixth order polynomial motion profile; (c) Ts4: settling time of third order polynomial motion profile; (d) Ts5: settling time of trapezoidal motion profile
    (a)Relationship between simulation results of residual vibration and segments of curve; (b) Relationship between simulation results of settling time and segments of curve
    Experiment setup of flexible scanning platform
    Results of residual vibration
    [in Chinese]
    [in Chinese]
    • Table 1. Simulation Result

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      Table 1. Simulation Result

      曲线阶数二阶三阶四阶五阶六阶
      曲线段数37153163
      加速度峰值/mm·s-2799.1146.8666.2260.6360.05
      稳态时间/msTs5=1 365.65Ts4=668.3Ts3=311.04Ts2=305.55Ts1=302.58
    • Table 2. Parameters for the experiment setup

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      Table 2. Parameters for the experiment setup

      参数单位定义
      Gmaxm·s-5加加速度二阶导20 000
      Pmaxm·s-4加加速度一阶导150
      Jmaxm·s-3加加速度5
      Amaxm·s-2加速度0.4
      Vmaxm·s-1速度0.05
      Sm位移0.03
    • Table 3. Result of vibration acceleration peak and settling time

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      Table 3. Result of vibration acceleration peak and settling time

      参数梯形速度曲线三阶速度曲线四阶速度曲线五阶速度曲线
      加速度峰值/mm·s-21 129.62635.08362.39345.04
      稳态时间/msTs4=1 895Ts3=1 406Ts2=949Ts1=887
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    Long-hui LI, Zhi-qi ZHANG, Zhen GUO, Yuan-yuan LUO, Lian-qun ZHOU, Jia YAO. Optimal order polynomial motion profile for high-precision flexible scanning platform[J]. Optics and Precision Engineering, 2021, 29(10): 2400

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    Paper Information

    Category: Micro/Nano Technology and Fine Mechanics

    Received: Mar. 2, 2021

    Accepted: --

    Published Online: Nov. 23, 2021

    The Author Email: ZHOU Lian-qun (zhoulq@sibet.ac.cn), YAO Jia (yaojia@sibet.ac.cn)

    DOI:10.37188/OPE.2021.0099

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