Adaptive programming algorithm for generating polishing tool-path in computer controlled optical surfacing

DENG Wei-jie; ZHENG Li-gong; SHI Ya-li; WANG Xiao-kun

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Adaptive programming algorithm for generating polishing tool-path in computer controlled optical surfacing

Article | 更新时间：2020-08-12

- Adaptive programming algorithm for generating polishing tool-path in computer controlled optical surfacing
- Optics and Precision Engineering Vol. 17, Issue 1, Pages: 65-71(2009)
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所中国科学院光学系统先进制造技术重点实验室,吉林长春,130033
  2. 中国科学院研究生院,北京 100039
- 作者简介：
- 基金信息：
- DOI：
  CLC： TQ171.6+8
- Received：21 March 2008，
  
  Revised：28 April 2008，
  
  Published Online：25 January 2009，
  
  Published：25 January 2009
- 稿件说明：
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邓伟杰, 郑立功, 史亚莉, 张学军. 离轴非球面数控抛光路径的自适应规划[J]. 光学精密工程, 2009,17(1): 65-71

DENG Wei-jie, ZHENG Li-gong, SHI Ya-li, WANG Xiao-kun, ZHANG Xue-jun. Adaptive programming algorithm for generating polishing tool-path in computer controlled optical surfacing[J]. Editorial Office of Optics and Precision Engineering, 2009,17(1): 65-71
邓伟杰, 郑立功, 史亚莉, 张学军. 离轴非球面数控抛光路径的自适应规划[J]. 光学精密工程, 2009,17(1): 65-71 DOI：

DENG Wei-jie, ZHENG Li-gong, SHI Ya-li, WANG Xiao-kun, ZHANG Xue-jun. Adaptive programming algorithm for generating polishing tool-path in computer controlled optical surfacing[J]. Editorial Office of Optics and Precision Engineering, 2009,17(1): 65-71 DOI：

摘要

根据质点系平衡的加权平均思想

提出了一种新的适用于离轴非球面数控抛光的路径规划方法。根据影响抛光结果的因素

给出了权因子的组成元素及其计算方法

包括常数、加工残差分布以及与工件边缘的距离

并给出了权因子间影响系数的粗略确定方法。对一组面形数据进行虚拟加工

与常规的

X-Y

直角坐标系型加工路径相比

面形均方根收敛率从0.36提高到0.62

其它各项数值的表现也均优于常规方法。最后

对算法中的一些问题做了简要的说明和讨论。这种规划方法原理简单

效果显著

满足实际使用要求。

Abstract

In order to improve the fabrication results of polishing off-axis aspheric in Computer Controlled Optical Surfacing(CCOS)

a novel algorithm named adaptive programming model to generate a polishing tool-path is discussed based on the balance principle of particle system and the thought of averaging power. Considering the factors influencing the polishing results

the power values are composed of three elements including the constants

error distribution and the dwell distance of work-piece edge. The influence coefficients between the power elements are estimated and simply computed. And then

a groups of error data are simulated with actual parameters using the matrix-based algorithm by two different tool-paths. The first one is

X-Y

uniform spacing model in common use

and the other is adaptive programming model. The contrasted results show that most of error results of the adaptive programming model are much better than that of the common one

especially the rms convergence rate is improved from 0.36 to 0.62. In the end

several questions on the algorithm are discussed and explained briefly

result show that the theory of the algorithm is simple and exercisable

and can satisfy the practical requirement as well.

关键词

Keywords

references

金光,张亮,胡福生. 大F数高分辨率空间望远镜光学系统[J]. 光学精密工程, 2007,15(2):155-159. JIN G, ZHANG L, HU F SH. Investigation on space optical system of high F number and high resolution [J]. Opt. Precision Eng.,2007,15(2):155-159.(in Chinese)[2] ZIMMERMAN J. Computer-controlled optical surfacing for off-axis aspheric mirrors [J].SPIE, 1990,12(36):663-668.[3] JONES R A. Computer-controlled optical surfacing with orbital tool motion [J]. Optical Engineering, 1986, 25(6):785-790.[4] 程灏波,张学军,郑立功. 离轴非球面加工、检测轨迹优化研究[J]. 光学技术, 2003, 29(2): 247-250. CHENG H B, ZHANG X J, ZHENG L G. Optimizing the moving-orbit for off-axis aspheric manufacturing and testing[J]. Optical Technology, 2003, 29(2): 247-250.(in Chinese)[5] 邓伟杰,郑立功,史亚莉,等. 基于线性代数和正则化方法的驻留时间算法[J]. 光学精密工程, 2007,15(7): 1009-1015. DENG W J, ZHENG L G, SHI Y L, et al.. Dwell time algorithm based on matrix algebra and regularization method [J]. Opt. Precision Eng., 2007, 15(7):1009-1015.(in Chinese)[6] LI S Z. Adaptive sampling and mesh generation [J]. Computer Aided Design, 1995, 27(3):235-240. [7] 程灏波. 基于空间频率评价磁流变抛光非球面中频误差 [J]. 哈尔滨工业大学学报, 2006, 38(6): 917-919. CHENG H B. Error-regulating method for magnetor rheological finished aspheric focused on spatial frequency [J]. Journal of Harbin Institute of Technology, 2006, 38(6): 917-919.(in Chinese)[8] MAHAJAN V N, DAI G M. Orthonormal polynomials in wavefront analysis: analytical solution [J]. J. Opt. Soc. Am. A., 2007, 24(9):2994-3016.[9] 周林, 戴一帆, 解旭辉. 光学镜面离子束加工的可达性[J]. 光学精密工程, 2007,15(2) :160-167. ZHOU L, DAI Y F, XIE X H. Machining reach ability in ion beam figuring [J]. Opt. Precision Eng., 2007, 15(2):160-167.(in Chinese)

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DENG Wei-jie

ZHENG Li-gong

SHI Ya-li

WANG Xiao-kun

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Related Institution

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences

长春光机所

Graduate School of the Chinese Academy of Sciences

Optical Technology Research Center, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences

Jilin University

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