光学学报, 2018, 38 (10): 1022002, 网络出版: 2019-05-09
射流抛光中生成高斯型去除函数的数学建模方法 
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Mathematical Modeling Method for Generation of Gaussian-Type Removal Function in Fluid Jet Polishing
图 & 表
图 1. 射流抛光加工中旋转扫掠生成去除函数的示意图
Fig. 1. Schematic of removal function generation by rotating sweep in fluid jet polishing
图 3. 射流束与旋转主轴交点处于不同位置时,喷嘴高度对去除函数的回转轴心的影响。(a)工件表面下方;(b)工件表面;(c)工件表面上方;(d)远高于工件表面
Fig. 3. Influence of nozzle height on rotation axis when intersection points of jet beam and rotating spindle are at different positions. (a) Beneath workpiece surface; (b) on workpiece surface; (c) above workpiece surface; (d) well above workpiece surface
图 5. 验证实验选取的回转轴心在去除函数对称轴上的分布示意图。(a)去除函数的三维轮廓;(b)相应横截面
Fig. 5. Distribution of rotation axis selected in verification experiment on symmetric axis of removal function. (a) 3D profile of removal function; (b) corresponding cross section
图 6. 建模计算与实际实验所得去除函数的形态对比。(a)回转轴心I;(b)回转轴心II;(c)回转轴心III;(d)回转轴心IV
Fig. 6. Profile comparison of removal functions obtained by model calculation and practical experiment. (a) Rotation axis I; (b) rotation axis II; (c) rotation axis III; (d) rotation axis IV
图 7. 计算选取的回转轴心在去除函数对称轴上的分布示意图。(a)去除函数的三维轮廓;(b)相应横截面
Fig. 7. Distribution of rotation axis selected in calculation on symmetric axis of removal function. (a) 3D profile of removal function; (b) corresponding cross section
图 8. 回转轴位于不同位置时,计算所得的旋转扫掠去除函数的截面轮廓图。(a) O1; (b) O2; (c) O3; (d) O4; (e) O5; (f) O6; (g) O7; (h) O8
Fig. 8. Cross-sectional profiles of removal functions by rotating sweep obtained after calculations when rotation axes are at different positions. (a) O1; (b) O2; (c) O3; (d) O4; (e) O5; (f) O6; (g) O7; (h) O8
图 9. 去除函数的最大去除深度。(a)示意图;(b)不同回转轴心下
Fig. 9. Maximum removal depth of removal function. (a) Schematic; (b) under different rotation axes
图 10. 去除函数的去除直径。(a)示意图;(b)不同回转轴心下
Fig. 10. Removal diameter of removal function. (a) Schematic; (b) under different rotation axes
图 11. 不同方法加工所得平面。(a)传统方法;(b)高斯型去除函数
Fig. 11. Surfaces processed by different methods. (a) Traditional method; (b) Gaussian-type removal function
表 1去除函数模型验证实验的参数
Table1. Parameters for verification experiment of removal function model
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表 2定点斜入射加工的实验参数
Table2. Parameters for fabrication with fixed oblique incidence
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王中昱, 张连新, 孙鹏飞, 李建, 尹承真. 射流抛光中生成高斯型去除函数的数学建模方法[J]. 光学学报, 2018, 38(10): 1022002. Zhongyu Wang, Lianxin Zhang, Pengfei Sun, Jian Li, Chengzhen Yin. Mathematical Modeling Method for Generation of Gaussian-Type Removal Function in Fluid Jet Polishing[J]. Acta Optica Sinica, 2018, 38(10): 1022002.
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