哥特式螺旋型面磨削砂轮廓形设计与优化方法  

Design and Optimization Method of Grinding Wheel Profile for Gothic Spiral Surface

作　　者：王亚涛 丁国龙[1] 刘欢 Wang Yatao;Ding Guolong;Liu Huan(School of Mechanical Engineering,Hubei University of Technology,Wuhan 430068,China;不详)

机构地区：[1]湖北工业大学机械工程学院,武汉市430068

出　　处：《工具技术》2025年第1期66-72,共7页Tool Engineering

基　　金：湖北省技术创新专项(2019AAA069);湖北省重点研发计划(2022AAA004);湖北省科技重大专项(2023BAA010-3)。

摘　　要：砂轮廓形的精确设计是实现滚珠螺母哥特型面精密磨削的基础,砂轮的轮廓精度直接影响螺母滚道的表面质量。针对砂轮廓形曲线的设计及优化问题,提出一种基于双圆弧样条的砂轮廓形设计方法及优化模型,基于滚道磨削原理建立哥特式型面数学模型,分析磨削运动关系,构造接触条件方程,求解砂轮截形离散点,利用双圆弧样条曲线,对截形离散点进行光顺处理,得到砂轮的廓形曲线;为改善型面不对称问题,分析砂轮安装角对接触线形态的影响,研究接触线形态与磨削力、磨削效率的关系,建立砂轮廓形的多目标优化模型,开发砂轮廓形优化软件,为砂轮廓形的设计与磨削工艺参数优化提供理论与方法支撑。The precise design of the sand profile is the basis for the precise grinding of the Gothic profile of the ball nut,and the contour accuracy of the grinding wheel directly affects the surface quality of the nut raceway.In this paper,aiming at the design and the optimization of sand profile curves,a sand profile design method and its optimization model based on double arc splines are proposed.A Gothic profile mathematical model is established based on the principle of raceway grinding,the grinding motion relationship of which is analyzed,and the contact condition equation constructed.The truncated discrete points of the grinding wheel are solved,and the truncated discrete points are smoothed by using the double arc spline curve to obtain the profile curve of the grinding wheel.To ameliorate the problem of asymmetry of the profile,the influence of the grinding wheel installation angle on the contact line shape is analyzed,and the relationship between the contact line shape and the grinding force and the grinding efficiency is studied to establish the multi-objective optimization model of the sand profile.A sand profile optimization software is developed,which provides theoretical and methodological support for the design of the sand profile and the optimization of grinding process parameters.

关 键 词：Newton-Raphson算法 双圆弧样条 多目标优化模型 非对称磨削 

分 类 号：TG580[金属学及工艺—金属切削加工及机床] TH161[机械工程—机械制造及自动化]