叶序排布凹坑旋成体表面设计及磨削的研究

Study on Designing and Grinding the Revolution Body Surface with Phyllotactic Dimple Pattern

为了在旋成体上磨削出叶序排布凹坑结构化表面,基于叶序排布理论对旋成体曲面划分出结构化单元;设计出叶序排布凹坑旋成体表面的三维模型,并分析结构化单元凹坑的拓扑特征变化量,给出了球形磨头磨削凹坑表面的策略。最后通过计算机仿真获得了磨削加工中主轴不同角度方向和叶序排布系数对结构化凹坑表面的影响规律,并进行了初步磨削实验。结果表明:此磨削方法可以实现叶序排布凹坑旋成体表面的加工,随着叶序排布系数减小,凹坑在旋成体表面上排布更加稀疏;当球形磨头绕不同轴线旋转磨削时,在凹坑内部可形成纵向纹理、横向纹理和同心圆纹理。

In order to grind the structured dimple surface of the phyllotactic pattern on the revolution body surface,the revolution body surface was divided into the structured element based on the theory of phyllotactic pattern,and then a 3D model of dimple surface with phyllotactic pattern on the revolution body was designed to analyze the topological variation of the dimple surface of the structured element,and the strategy for grinding dimple surface with spherical mounted point was given.Finally,the influence law of different angle of the spindle and phyllotactic pattern coefficient on structured surface was obtained through computer simulation,and preliminary grinding experiment was conducted.The results show that the grinding method can achieve the fabrication of revolution body surfaces with phyllotactic pattern of dimples.As the coefficient of phyllotactic pattern decreases,the distribution of dimples on the revolution body surface becomes sparser.When the spherical mounted point rotates around different axes for grinding,cross texture,vertical texture and concentric circle texture can be formed inside a dimple.