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Mathematical model for active lap to achieve unsymmetrical fabrication
Liu, Haitao1,2; Zeng, Zhige1; Wu, Fan1; Fan, Bin1; Liu, H.
Volume8416
Pages841622
2012
Language英语
ISSN0277786X
DOI10.1117/12.975689
Indexed ByEi
Subtype会议论文
AbstractA 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 off-axis aspheric surface. © 2012 SPIE.; 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 off-axis aspheric surface. © 2012 SPIE.
Conference NameProceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies
Conference Date2012
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type会议论文
Identifierhttp://ir.ioe.ac.cn/handle/181551/7579
Collection先光中心
Corresponding AuthorLiu, H.
Affiliation1. Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China
2. Graduate University, Chinese Academy of Sciences, Beijing 100039, China
Recommended Citation
GB/T 7714
Liu, Haitao,Zeng, Zhige,Wu, Fan,et al. Mathematical model for active lap to achieve unsymmetrical fabrication[C],2012:841622.
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