砂轮表面的磨料球自组装叶序排布原理  

Principle of self-assembly of abrasive balls on surface of grinding wheels into phyllotaxis arrangement

作　　者：李胜泽 吕玉山[1] 李兴山[1] 南杰洪 LI Shengze;LYU Yushan;LI Xingshan;NAN Jiehong(School of Mechanical Engineering,Shenyang University of Technology,Shenyang 110159,China)

机构地区：[1]沈阳理工大学机械工程学院,沈阳110159

出　　处：《金刚石与磨料磨具工程》2024年第5期644-651,共8页Diamond & Abrasives Engineering

基　　金：国家自然科学基金(51875368)。

摘　　要：为实现磨料球在砂轮基体表面有序化的自组装,提出一种叶序排布磨料球砂轮的自组装制造方法。从有界空间球体最密堆积结构原理与植物组织的柱面叶序结构理论出发,设计一种磨料球自组装砂轮的实验方法。首先对磨料球自组装过程进行仿真分析,然后探讨相关尺寸参数与自组装结构之间的关系,并经过计算得到不同尺寸参数下磨料球自组装结构。结果表明:通过自组装方法能实现磨料球在砂轮基体表面的叶序排布;当磨料球直径恒定时,磨料球在砂轮基体表面形成的叶序排布结构的叶序系数随着砂轮基体直径的增大而减小;当砂轮基体直径恒定时,磨料球在砂轮基体表面形成的叶序排布结构的叶序系数随着磨料球直径的增大而增大。Objectives:Compared with traditional abrasive random arrangement grinding wheels,structured grinding wheels offer better chip space and grinding efficiency during the grinding process.At present,the manufacturing methods for structured grinding wheels mainly include metal sintering,electroplating,mechanical dressing,laser etching,and other processing techniques.However,these processing methods generally face several issues,such as low arrangement efficiency,poor positioning accuracy of abrasive particles,and complex manufacturing processes.To address these problems,this paper proposes a method for preparing an abrasive orderly grinding wheel by the orderly accumulation of abrasive balls in a bounded space.Methods:Phyllotactic arrangement refers to the arrangement of biological tissue units in space,such as rotation,opposition,and clustering,to provide an optimal growth environment for plant grains.The spiral arrangement achieves geometric spatial complementarity and maximizes the filling effect,with the left and right spirals formed by the arrangement satisfying the mathematical law of the Fibonacci sequence or its derived series.This paper,based on the theory of phyllotactic arrangement and the study of sphere packing structures in bounded spaces,establishes the basic theory for the self-assembly of abrasive spheres into an orderly arrangement on a grinding wheel.Results:Based on the growth structure characteristics of plant primordia,the constraint barrel in the device is designed to with a hemispherical bottom and a cylindrical top.To ensure that the abrasive balls on the surface of the grinding wheel are arranged in a single layer,the distance between the cylindrical part of the constraint bucket and the grinding wheel matrix is always equal to the diameter of a spherical particle.During the self-assembly process,the motion of the constraint barrel is used to mechanically disturb the absive balls.Due to the effects of gravity,interaction forces,and friction between the grinding balls,the arrangement structure

关 键 词：结构化砂轮 自组装 有序化排布 叶序排布 磨料球 

分 类 号：TG743[金属学及工艺—刀具与模具]