引用本文: | 石峰,戴一帆,彭小强,等.基于矩阵运算的光学零件磁流变加工的驻留时间算法[J].国防科技大学学报,2009,31(2):103-106.[点击复制] |
SHI Feng,DAI Yifan,PENG Xiaoqiang,et al.Dwell Time Algorithm Based on Vector for MRF Process of Optics[J].Journal of National University of Defense Technology,2009,31(2):103-106[点击复制] |
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基于矩阵运算的光学零件磁流变加工的驻留时间算法 |
石峰, 戴一帆, 彭小强, 宋辞 |
(国防科技大学 机电工程与自动化学院,湖南 长沙 410073)
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摘要: |
提出了一种光学零件磁流变加工的驻留时间计算方法。该算法以矩阵运算为基础,首先确定工件上各个控制节点的高度余量,并将磁流变抛光模对各控制节点的材料去除能力体现到去除矩阵中,然后利用非负最小二乘法求解驻留时间向量。采用该算法在自行研制的磁流变抛光机床上进行抛光实验,经过2次迭代加工后,有效口径为145mm的球面镜P-V值达到40.5nm(约为λ/15),RMS值达到5nm(约为λ/125),表面粗糙度 Ra 值达到0.57nm。 |
关键词: 磁流变抛光 计算机控制光学表面成型(CCOS) 驻留时间算法 |
DOI: |
投稿日期:2008-09-10 |
基金项目:国家部委基金资助项目(9140A18070108KG0147);新世纪优秀人才支持计划项目(NCET) |
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Dwell Time Algorithm Based on Vector for MRF Process of Optics |
SHI Feng, DAI Yifan, PENG Xiaoqiang, SONG Ci |
(College of Mechatronics Engineering and Automation, National Univ. of Defense Technology, Changsha 410073, China)
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Abstract: |
A dwell time algorithm for magnetorheological finishing (MRF) process of optics is developed in this paper. Firstly, the vector of residual heights of the control nodes is calculated, and the removal rate of the “polishing spot” at each control node is written into a removal matrix. Then, a nonnegative least-squares method is used to obtain the optimal solution of the dwell time. With this algorithm, a spherical surface (145mm aperture) is polished on the MRF machine developed by ourselves. After two iterations, PV values λ/15, RMS values λ/125, and Ra ,0.57nm. |
Keywords: Magnetorheological Finishing(MRF) Computer Controlled Optical Surfacing(CCOS) dwell time algorithm |
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