螺杆转子成形磨削用砂轮廓形的包络-像素设计方法

姚斌; 卢杰; 蔡志钦; 蔡思捷; 蓝启鑫

doi:10.7652/xjtuxb202002003

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螺杆转子成形磨削用砂轮廓形的包络-像素设计方法

更新时间：2025-05-08

- 螺杆转子成形磨削用砂轮廓形的包络-像素设计方法
- Envelope-Pixel Design for Generating Grinding Wheel Profile in Forming Screw Rotor
- 西安交通大学学报 2020年54卷第2期页码：16-23
- 作者机构：
  
  厦门大学航空航天学院,福建,厦门,361005
- 作者简介：
- 基金信息：
  
  : 2019-07-01。作者简介: 姚斌(1963—),男,教授,博士生导师;卢杰(通信作者),男,博士生。基金项目: 工信部智能制造综合标准化与新模式应用项目(工信部装函〔2018〕265号);中国博士后科学基金资助项目(2019M652256)
- DOI：10.7652/xjtuxb202002003
  中图分类号： TH455
- 网络首发：2020-02-10，
  
  纸质出版：2020
- 稿件说明：
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姚斌, 卢杰, 蔡志钦, 等. 螺杆转子成形磨削用砂轮廓形的包络-像素设计方法[J]. 西安交通大学学报, 2020,54(2):16-23.

YAO Bin, LU Jie, CAI Zhiqin, et al. Envelope-Pixel Design for Generating Grinding Wheel Profile in Forming Screw Rotor[J]. 2020, 54(2): 16-23.
姚斌, 卢杰, 蔡志钦, 等. 螺杆转子成形磨削用砂轮廓形的包络-像素设计方法[J]. 西安交通大学学报, 2020,54(2):16-23. DOI： 10.7652/xjtuxb202002003.

YAO Bin, LU Jie, CAI Zhiqin, et al. Envelope-Pixel Design for Generating Grinding Wheel Profile in Forming Screw Rotor[J]. 2020, 54(2): 16-23. DOI： 10.7652/xjtuxb202002003.

摘要

针对双螺杆压缩机核心部件螺杆转子的高效高精制造问题

提出一种基于包络-像素法的螺杆转子成形磨削用砂轮廓形的设计方法

能够在图形空间高效完成螺杆转子成形磨削用砂轮廓形的设计。该方法结合计算机图形学与啮合原理相关理论

建立了螺杆转子与砂轮之间包络运动形成的扫掠面模型

基于Bresenham算法用指定的颜色点亮最佳逼近像素点

通过边界跟踪方法依次分段提取边界像素点

得到精准的成形砂轮廓形数据。通过与传统解析包络法的对比以及实际磨削试验

结果表明

包络-像素法与解析包络法生成的成形砂轮廓形偏差在±0.003 mm

加工转子误差在±0.01 mm

可以满足实际工业应用。另外

包络-像素法可避免传统啮合运动共轭曲面的接触线计算中存在求解非线性方程复杂、异常解和人工干预等不足

为计算机图形学技术在螺旋面刀具廓形设计应用提供新思路

亦适用于齿轮、蜗杆、铣刀等类似共轭产品的设计。

Abstract

Focusing on high efficiency and high precision manufacturing of screw rotor

which is the core component of the twin-screw compressor

a design scheme based on the envelope-pixel method to generate a grinding wheel profile for forming screw rotor is proposed

which can efficiently complete the design of grinding wheel profile in a graphic space. The enveloping surface of the conjugate motion between the screw rotor and the forming wheel is established with the computer graphics and the meshing theory. Then a specified color is used to light the best approximation pixels of the enveloping surface with Bresenham algorithm

and the boundary pixels of the enveloping surface are captured by boundary tracking for the accurate data of grinding wheel profile. Grinding experiment shows that the deviation between different grinding wheel profiles generated by the envelope-pixel method and the traditional analytical envelope method gets -0.003 mm

and the error of machined rotor in the envelope-

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references

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