题名:  Mathematical model for active lap to achieve unsymmetrical fabrication 
作者:  Liu, Haitao^{1,2}; Zeng, Zhige^{1}; Wu, Fan^{1}; Fan, Bin^{1}

出版日期:  2012

会议名称:  Proceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies

会议日期:  2012

DOI:  10.1117/12.975689

通讯作者:  Liu, H.

中文摘要:  A new mathematical model is proposed to calculate the Material Removal (MR) on any point of the mirror's surface during Computer Controlled Active Lap (CCAL)'s grinding and polishing. In this model, the workpiece rotation rate ω1, lap rotation rate ω2 and the pressure P which applied on the workpiece surface by active lap are binary functions in the mirror polar coordinate system whose polar axis is from workpiece center to lap center's initial position. The independent variables ρ and θ are the coordinates of lap center during fabrication, so the rotation rate and pressure is become to ω1(ρ, θ), ω2(ρ, θ) and P(ρ, θ). According to the simulation, this model can produce unsymmetrical material removal by choosing unsymmetrical ω1(ρ, θ), ω2(ρ, θ) or P(ρ, θ). This means it is possible to get the optimal ω1, ω2 and P functions for the demanded material removal map, and make the effects of single circle manufacture much better. This model can give active lap the unsymmetrical fabrication capability, and suitable for correcting the astigmatism or grinding offaxis aspheric surface. © 2012 SPIE. 
英文摘要:  A new mathematical model is proposed to calculate the Material Removal (MR) on any point of the mirror's surface during Computer Controlled Active Lap (CCAL)'s grinding and polishing. In this model, the workpiece rotation rate ω1, lap rotation rate ω2 and the pressure P which applied on the workpiece surface by active lap are binary functions in the mirror polar coordinate system whose polar axis is from workpiece center to lap center's initial position. The independent variables ρ and θ are the coordinates of lap center during fabrication, so the rotation rate and pressure is become to ω1(ρ, θ), ω2(ρ, θ) and P(ρ, θ). According to the simulation, this model can produce unsymmetrical material removal by choosing unsymmetrical ω1(ρ, θ), ω2(ρ, θ) or P(ρ, θ). This means it is possible to get the optimal ω1, ω2 and P functions for the demanded material removal map, and make the effects of single circle manufacture much better. This model can give active lap the unsymmetrical fabrication capability, and suitable for correcting the astigmatism or grinding offaxis aspheric surface. © 2012 SPIE. 
收录类别:  Ei

语种:  英语

卷号:  8416

ISSN号:  0277786X

文章类型:  会议论文

页码:  841622

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内容类型:  会议论文

URI标识:  http://ir.ioe.ac.cn/handle/181551/7579

Appears in Collections:  先光中心_会议论文

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作者单位:  1. Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China 2. Graduate University, Chinese Academy of Sciences, Beijing 100039, China

Recommended Citation: 
Liu, Haitao,Zeng, Zhige,Wu, Fan,et al. Mathematical model for active lap to achieve unsymmetrical fabrication[C]. 见:Proceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies. 2012.


