Laser & Optoelectronics Progress, Volume. 57, Issue 5, 052202(2020)

Aspherical Finishing Post Processing Method Based on Trust Region Dogleg Method

Hang Yang1、*, Gong Zhao2, Qiang Zhang1, Yulan Wang1, Wen Huang2, Jianguo He2, and Yang Jia3
Author Affiliations
  • 1College of Engineering, Zunyi Normal University, Zunyi, Guizhou 563006, China
  • 2Institute of Mechanical Manufacturing Technology, China Academy of Engineering Physics, Mianyang, Sichuan 621900, China
  • 3Wuhan National Laboratory for Optoelectronics, Huazhong Research Institute of Electro-Optical Technology, Wuhan, Hubei 430073, China
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    Figures & Tables(8)
    Spatial topological relationship between j and its lower-order body i
    Physical structure of self-developed PKC magnetorheological finishing machine
    Spatial topology of PKC magnetorheological finishing machine
    Kinematic model of a magnetorheological finishing machine
    Different trajectory planning results. (a) Raster line path planning; (b) spiral line path planning
    Axis control under different trajectories. (a) Raster line path; (b) spiral line path
    • Table 1. Low-order topology array of magnetorheological finishing machine

      View table

      Table 1. Low-order topology array of magnetorheological finishing machine

      j012345678
      L0(j)012345678
      L1(j)001230567
      L2(j)000120056
      L3(j)000010005
      L4(j)000000000
    • Table 2. Iteration convergence rate of finishing

      View table

      Table 2. Iteration convergence rate of finishing

      Sequence No.Raster modeSpiral mode
      R /λζ /%R /λζ /%
      00.03700.0260
      10.03505.40540.020023.0769
      20.030014.28570.01905.0000
      30.025016.66670.01805.2632
      40.0260-4.00000.015016.6667
      50.012020.0000
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    Hang Yang, Gong Zhao, Qiang Zhang, Yulan Wang, Wen Huang, Jianguo He, Yang Jia. Aspherical Finishing Post Processing Method Based on Trust Region Dogleg Method[J]. Laser & Optoelectronics Progress, 2020, 57(5): 052202

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Jul. 18, 2019

    Accepted: Aug. 28, 2019

    Published Online: Mar. 5, 2020

    The Author Email: Hang Yang (yang@zync.edu.cn)

    DOI:10.3788/LOP57.052202

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