光学球罩抛光运动轨迹均匀性模拟分析

王伟明; 李震; 李庆忠

doi:10.13394/j.cnki.jgszz.2022.0120

光学球罩抛光运动轨迹均匀性模拟分析

doi: 10.13394/j.cnki.jgszz.2022.0120

江南大学机械工程学院, 江苏无锡 214122

详细信息

作者简介:
王伟明：

通讯作者:
李庆忠，男，1965年生，博士、教授、硕士生导师。主要研究方向：摩擦学及表面工程，精密超精密加工技术，润滑油添加剂复配技术。E-mail：lqz@qq.com

中图分类号: TG73；TH161
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- 被引次数: 0
出版历程
- 收稿日期: 2022-08-05
- 修回日期: 2022-10-06
- 录用日期: 2022-11-24
- 刊出日期: 2023-06-20

Simulation analysis of uniformity of optical sphere polishing motion trajectory

College of Mechanical Engineering, Jiangnan University, Wuxi 214122, Jiangsu, China

摘要

摘要: 为提高球罩表面的加工质量、加工效率，减少成本浪费，研究磨粒抛光过程中各运动参数对光学球罩表面材料去除均匀性的影响。以离散系数为评价指标，依据相对运动与向量法建立单颗磨粒运动轨迹模型。采用三角形网格对正二十面体表面进行迭代划分，统计各三角网格中的轨迹点数，用轨迹点数来表征抛光次数。结果表明：转速比对磨粒轨迹的分布与材料去除影响显著；相同转速比下，增大抛光头半径，离散系数逐渐降低，球罩表面材料去除均匀性由差变好；增大摆速，轨迹的长度与密度逐渐减小，离散系数随之变大，球罩表面非均匀性增强；磨粒初始相位改变对轨迹均匀性基本无影响。
- 光学球罩 /
- 磨粒轨迹 /
- 网格划分 /
- 离散系数 /
- 均匀性
Abstract: In order to improve the processing quality, processing efficiency and reduce the cost wastage of the dome surface, the effect of each motion parameter on the uniformity of material removal from the optical dome surface during the polishing process was investigated. In this paper, the dispersion coefficient was used as the evaluation index, and the single abrasive particle motion trajectory model was established based on the relative motion and vector method. A triangular mesh was used to iteratively divide the surface of the orthorhombic icosahedron, and the number of trajectory points in each triangular mesh was counted to characterize the number of polishing times. It can be concluded that the speed ratio has a significant effect on the distribution of abrasive trajectories and material removal. With the same speed ratio, increasing the radius of the polishing head, the dispersion coefficient gradually decreases and the uniformity of dome surface material removal changes from poor to good. Increasing the pendulum speed, the length and density of the trajectory gradually decrease, the dispersion coefficient becomes larger, and the non-uniformity of the dome surface increases. The change in the initial phase of abrasive particles has essentially no effect on trajectory uniformity.
- optical ball cover /
- abrasive trajectory /
- meshing /
- coefficient of variation /
- homogeneity

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图 1 抛光头与球罩相对运动示意图

Figure 1. Relative movement of polishing head and dome diagram

下载: 全尺寸图片幻灯片

图 2 网格划分示意图

Figure 2. Diagram of grid division

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图 3 不同转速比下磨粒运动轨迹图

Figure 3. Trajectory of abrasive grain movement at different speed ratios

下载: 全尺寸图片幻灯片

图 4 转速比对离散系数的影响

Figure 4. Effect of speed ratio on dispersion coefficient

下载: 全尺寸图片幻灯片

图 5 不同半径下磨粒运动轨迹图

Figure 5. Trajectory of abrasive particles at different radius

下载: 全尺寸图片幻灯片

图 6 半径对离散系数的影响

Figure 6. Effect of radius on dispersion coefficient

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图 7 不同摆速下磨粒运动轨迹图

Figure 7. Trajectory of abrasive grain movement at different pendulum speeds

下载: 全尺寸图片幻灯片

图 8 摆速对离散系数的影响

Figure 8. Effect of pendulum speed on dispersion coefficient

下载: 全尺寸图片幻灯片

图 9 初始相位对离散系数的影响

Figure 9. Effect of initial phase on dispersion coefficients

下载: 全尺寸图片幻灯片

表 1 球罩尺寸及各运动参数

Table 1. Dome size and each movement parameter

参数	取值
球罩半径 R / mm	50
截面圆半径 L / mm	49
抛光头转速n ₁与球罩转速n₂之比i	2，3，4，5，
	7/3，10/3，13/3，16/3，
	$\sqrt {10} ,\sqrt {15} ,\sqrt {20} ,\sqrt {26} $
抛光头半径 r / mm	16～26
球罩摆速 n₃/（r·mim⁻¹）	1～10
初始相位 β /（°）	0，90，180，270
仿真时间 t₁/ s	50
采样时间 t₂/ s	0.001

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