Mathematical model for active lap to achieve unsymmetrical fabrication | |
Liu, Haitao1,2; Zeng, Zhige1; Wu, Fan1; Fan, Bin1; Liu, H. | |
Volume | 8416 |
Pages | 841622 |
2012 | |
Language | 英语 |
ISSN | 0277786X |
DOI | 10.1117/12.975689 |
Indexed By | Ei |
Subtype | 会议论文 |
Abstract | 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.; 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 Name | Proceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies |
Conference Date | 2012 |
Citation statistics | |
Document Type | 会议论文 |
Identifier | http://ir.ioe.ac.cn/handle/181551/7579 |
Collection | 先光中心 |
Corresponding Author | Liu, H. |
Affiliation | 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 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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2012-2076.pdf（453KB） | 会议论文 | 开放获取 | CC BY-NC-SA | Application Full Text |
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