• Optics and Precision Engineering
  • Vol. 29, Issue 10, 2400 (2021)
Long-hui LI1,3, Zhi-qi ZHANG2,3, Zhen GUO2,3, Yuan-yuan LUO2,3..., Lian-qun ZHOU1,2,3,* and Jia YAO3,4,*|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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    DOI: 10.37188/OPE.2021.0099 Cite this Article
    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 Copy Citation Text show less
    Trapezoidal motion profile
    Fig. 1. Trapezoidal motion profile
    Third order polynomial motion profile
    Fig. 2. Third order polynomial motion profile
    Fourth order polynomial motion profile
    Fig. 3. Fourth order polynomial motion profile
    Simplified model of flexible structure
    Fig. 4. 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
    Fig. 5. (a)Simulation results of residual vibration; (b) Ts3Ts2Ts1: 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
    Fig. 6. (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
    Fig. 7. Experiment setup of flexible scanning platform
    Results of residual vibration
    Fig. 8. Results of residual vibration
    [in Chinese]
    Fig. 9. [in Chinese]
    [in Chinese]
    Fig. 10. [in Chinese]
    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 1. Simulation Result
    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 2. Parameters for the experiment setup
    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
    Table 3. Result of vibration acceleration peak and settling time
    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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