• CN:11-2187/TH
  • ISSN:0577-6686

›› 2012, Vol. 48 ›› Issue (11): 183-190.

• 论文 • 上一篇    下一篇

大口径轴对称非球面气囊抛光进动运动建模及控制

潘日;王振忠;郭隐彪;王春锦;张东旭   

  1. 厦门大学机电工程系
  • 发布日期:2012-06-05

Movement Modeling and Control of Precession Mechanism for Bonnet Tool Polishing Large Aixsymmetrical Aspheric Lenses

PAN Ri;WANG Zhenzhong;GUO Yinbiao;WANG Chunjin;ZHANG Dongxu   

  1. Department of Mechanical and Electrical Engineering, Xiamen University
  • Published:2012-06-05

摘要: 研究大口径轴对称非球面气囊抛光进动运动建模及控制。分析气囊抛光机构及大口径轴对称非球面抛光进动工艺特点,确定以气囊自转轴线与气囊交点为研究对象,以气囊球心为原点建立气囊进动基础坐标系,根据大口径轴对称非球面连续进动抛光中各抛光点气囊自转轴与局部法线夹角值(即进动角)不变的原理,在分析每个抛光点时建立与其对应的坐标系,得到抛光该点时气囊自转轴与气囊交点在该点对应坐标系中的值,而后进行坐标变换,将抛光任意点时气囊自转轴线与气囊交点的位置换算至气囊进动基础坐标系中;根据大口径轴对称非球面方程、加工控制模型及前述的坐标变换运算结果,利用矩阵变换得到大口径轴对称非球面抛光的进动运动模型;在上述的运动模型中加入最有效率控制算法后进行运动学仿真,得到大口径轴对称非球面抛光的进动运动曲线,并通过仿真气囊自转轴线跟随加工点法线变化的趋势及比较仿真进动角与实际进动角验证所建立运动模型及控制算法的正确性。

关键词: 大口径轴对称非球面, 进动, 控制, 气囊抛光, 运动建模

Abstract: Movement modeling and control for bonnet tool polishing large axisymmetrical aspheric lenses is present. The intersection point of the spin axis and the bonnet is selected to be object, after analyzing the structure of bonnet tool and process feature of large axisymmetrical aspheric lenses polishing; a base coordinate is set up with the centre of bonnet to be its origin point. As the included angle of the spin axis of bonnet tool and the local normal is fixed in continuous precession polishing, a corresponding coordinate is set up to get the position parameters of the intersection point of the spin axis and the bonnet when polishing a random point, the position parameters of the intersection point of the spin axis and the bonnet in base coordinate are got according to space coordinate conversion; Movement model is obtained by space matrix transformation, based on the surface equation of large axisymmetrix aspheric lenses, processing control model and the position parameters got in last step; Finally, most efficiency algorithm is added to the movement model, and precession motion curve is got by simulation. The correctness of movement model and control algorithm is confirmed through simulating the trend of spin axis of bonnet follows the local normal and comparing the simulated value of precession angle with the actual value of precession angle.

Key words: Bonnet polishing, Control, Large axisymmetrical aspheric lenses, Movement modeling, Precession

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