渐进多焦点镜片的设计与慢刀伺服车削
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摘要
为解决自由曲面眼镜片设计加工的难题,进行了渐进多焦点镜片的设计和加工。提出了渐进多焦点曲面的参数化设计方法,通过控制曲面曲率来控制曲面的面型,避免了复杂的数学计算。在对曲面光焦度和像散分布进行计算的基础上对曲面进行评价。提出了离散曲面的刀触点生成方法,将慢刀伺服车削技术用于该渐进多焦点曲面的加工。实验结果证明了设计方法的正确性和加工方法的可行性。
The design and processing of non-rotationally symmetric or aspherical spectacle lenses had many difficulties nowadays. A parametric design method of progressive-addition lenses(PAL) was proposed herein. This method avoided complex mathematical calculations by controlling the surface curvatures to control the optical powers and astigmatism distribution. Distribution of surface astigmatism and surface power were calculated and evaluated. A method for generation of cutting contact points was proposed for discrete surfaces. The slow tool servo turning technology was used in machining of the PAL. Experimental results show that the design method and cutting contact points generation method are successful.
The design and processing of non-rotationally symmetric or aspherical spectacle lenses had many difficulties nowadays. A parametric design method of progressive-addition lenses(PAL) was proposed herein. This method avoided complex mathematical calculations by controlling the surface curvatures to control the optical powers and astigmatism distribution. Distribution of surface astigmatism and surface power were calculated and evaluated. A method for generation of cutting contact points was proposed for discrete surfaces. The slow tool servo turning technology was used in machining of the PAL. Experimental results show that the design method and cutting contact points generation method are successful.
引文
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[3] HSU W Y, LIU Y L,CHENG Y C, et al. Design, Fabrication, and Metrology of Ultra-precision Optical Freeform Surface for Progressive Addition Lens with B-spline Description [J]. International Journal of Advanced Manufacturing Technology, 2012, 63:225-233.
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[5] 王兴盛, 康敏. 环曲面眼镜片慢刀伺服加工技术[J]. 中国机械工程, 2012, 23(18): 2169-2173.WANG Xingsheng, KANG Min. Toric Spectacle Lens by Using Slow Tool Servo Turning [J]. China Mechanical Engineering, 2012, 23(18):2167-2173.
[6] PATRIKALAKIS N M, MAEKAWA T. Shape Interrogation for Computer Aided Design and Manufacturing[M]. Berlin: Springer, 2002.
[7] SAVIO G, CONCHERI G, MENEGHELLOM R. Progressive Lens Design by Discrete Shape Modelling Techniques[J]. International Journal on Interactive Design and Manufacturing, 2013, 7(3): 135-146.
[8] SHEEDY J E, CAMPBELL C, KING -SMITH E, et al. Progressive Powered Lenses: the Minkwitz Theorem [J]. Optometry and Vision Science, 2005, 82(10): 916-924.
[9] KONG L B, CHEUNG C F, TO S, et al. A Theoretical and Experimental Investigation of Design and Slow Tool Servo Machining of Freeform Progressive Addition Lenses (PALs) for Optometric Applications [J]. International Journal of Advanced Manufacturing Technology, 2014, 72(1/4): 33-40.
[10] 王兴盛,康敏. 基于Hermite插值的复杂光学曲面车削加工路径规划[J].机械工程学报,2012,48(11):191-198.WANG Xingsheng,KANG Min. Cutting Path Planning for Complex Optical Surface Using Hermite Interpolation [J]. Journal of Mechanical Engineering, 2012, 48(11):191-198.
[11] 王兴盛. 复杂光学曲面慢刀伺服车削关键技术研究[D].南京:南京农业大学, 2014.WANG Xingsheng. Research on the Key Technologies of Slow Tool Servo Turning for Complex Optical Surface[D]. Nanjing: Nanjing Agriculture University, 2014.
[12] 李庆扬, 王能超, 易大义. 数值分析[M]. 北京:清华大学出版社, 2008.LI Qingyang, WANG Nengchao, YI Dayi. Numerical Analysis[M]. Beijing: Tsinghua University Press, 2008.
[2] STEELE T. Progressive Addition Power:US, 6776486[P]. 2004-08-17.
[3] HSU W Y, LIU Y L,CHENG Y C, et al. Design, Fabrication, and Metrology of Ultra-precision Optical Freeform Surface for Progressive Addition Lens with B-spline Description [J]. International Journal of Advanced Manufacturing Technology, 2012, 63:225-233.
[4] LOOS J, GREINER G, SEIDEL H P. A Variational Approach to Progressive Lens Design [J]. Computer Aided Design 1998, 30(8): 595-602.
[5] 王兴盛, 康敏. 环曲面眼镜片慢刀伺服加工技术[J]. 中国机械工程, 2012, 23(18): 2169-2173.WANG Xingsheng, KANG Min. Toric Spectacle Lens by Using Slow Tool Servo Turning [J]. China Mechanical Engineering, 2012, 23(18):2167-2173.
[6] PATRIKALAKIS N M, MAEKAWA T. Shape Interrogation for Computer Aided Design and Manufacturing[M]. Berlin: Springer, 2002.
[7] SAVIO G, CONCHERI G, MENEGHELLOM R. Progressive Lens Design by Discrete Shape Modelling Techniques[J]. International Journal on Interactive Design and Manufacturing, 2013, 7(3): 135-146.
[8] SHEEDY J E, CAMPBELL C, KING -SMITH E, et al. Progressive Powered Lenses: the Minkwitz Theorem [J]. Optometry and Vision Science, 2005, 82(10): 916-924.
[9] KONG L B, CHEUNG C F, TO S, et al. A Theoretical and Experimental Investigation of Design and Slow Tool Servo Machining of Freeform Progressive Addition Lenses (PALs) for Optometric Applications [J]. International Journal of Advanced Manufacturing Technology, 2014, 72(1/4): 33-40.
[10] 王兴盛,康敏. 基于Hermite插值的复杂光学曲面车削加工路径规划[J].机械工程学报,2012,48(11):191-198.WANG Xingsheng,KANG Min. Cutting Path Planning for Complex Optical Surface Using Hermite Interpolation [J]. Journal of Mechanical Engineering, 2012, 48(11):191-198.
[11] 王兴盛. 复杂光学曲面慢刀伺服车削关键技术研究[D].南京:南京农业大学, 2014.WANG Xingsheng. Research on the Key Technologies of Slow Tool Servo Turning for Complex Optical Surface[D]. Nanjing: Nanjing Agriculture University, 2014.
[12] 李庆扬, 王能超, 易大义. 数值分析[M]. 北京:清华大学出版社, 2008.LI Qingyang, WANG Nengchao, YI Dayi. Numerical Analysis[M]. Beijing: Tsinghua University Press, 2008.