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《厦门大学学报（自然科学版）》[ISSN:0438-0479/CN:35-1070/N]

卷:

57卷

期数:

2018年05期

页码:

736-740

栏目:

研究论文

出版日期:

2018-09-27

文章信息/Info

Title:

A Method of Calculating Forming Wheel Profile for Grinding Involute Worm Based on Pixel Solution

文章编号:

0438-0479(2018)05-0736-05

作者:

沈志煌^1*; 刘菊东¹; 皮 钧¹; 许志龙¹; 姜 涛¹; 王舒阳²

1.集美大学机械与能源工程学院,福建 厦门 361021; 2.大唐陕西发电有限公司,陕西 西安 710000

Author(s):

SHEN Zhihuang^1*; LIU Judong¹; PI Jun¹; XU Zhilong¹; JIANG Tao¹; WANG Shuyang²

1.School of Mechanical and Energy Engineering,Jimei University,Xiamen 361021,China; 2.Datang Shaanxi Power Generation Co.Ltd,Xi’an 710000,China

关键词:

渐开线蜗杆;  成形砂轮;  像素解法;  扫掠面

Keywords:

involute worm;  forming wheel;  pixel solution;  swept

分类号:

TG 580.6

DOI:

doi:10.6043/j.issn.0438-0479.201802001

文献标志码:

A

摘要:

为实现渐开线蜗杆(记作ZI型蜗杆)的高效磨削,提出了一种基于像素解法的成形砂轮廓形计算方法,该方法能够避免传统齿轮啮合原理中复杂的解析包络过程.像素解法首先利用包络原理建立蜗杆与成形砂轮之间共轭运动形成的扫掠面模型; 其次用指定颜色点亮扫掠面在屏幕像素点阵中的最佳逼近像素点; 然后通过调整扫掠面的位姿和放大倍数,对扫描区域和边界条件进行了设定,并利用扫掠面的斜率来控制扫掠面的自动放大、分段与重绘.最后通过对屏幕像素点阵的扫描,捕捉指定颜色的临界像素点所在的坐标值,提取扫掠面廓形数据.实验结果表明:该方法是一种高精度的蜗杆磨削用成形砂轮廓形计算方法,蜗杆精度等级达到了4级.

Abstract:

For highly efficient grinding of involute worms,a new method based on pixel solution for calculating the profile of forming wheel is proposed.This method can effectively avoid the complicated analytical calculation process of the gear meshing principle.First,in the pixel solution,the envelope principle is used to establish a sweep surface by conjugate motion between the worm and the forming wheel.Then,a specified color is used to light the best approximation pixel of the swept surface in the screen pixel lattice.The pose and the magnification of the swept surface are adjusted to set the scanning area and boundary conditions,as well as the slope of the swept surface is used to control the automatic magnification,segmentation and redrawing of the swept surface.The profile data of swept surface is extracted by catching the coordinate of the best approximation pixel.Finally,an example has demonstrated that the pixel solution is a highly efficient method for calculating the profile of forming wheel.

参考文献/References:

[1] 吴序堂.齿轮啮合原理[M].西安:西安交通大学出版社,2009:118-132.
[2] LITVIN F L.Gear geometry and applied theory[M].SanDiego PTR:Prentice Hall,1994:674-691.
[3] SPITAS V,COSTOPOULOS T,SPITAS C.Fast modeling of conjugate gear tooth profiles using discrete presentation by involute segments[J].Mechanism and Machine Theory,2007,42(6):751-762.
[4] WU Y R,FONG Z H,ZHANG Z X.Simulation of a cylindrical form grinding process by the radial-ray shooting(RRS)method[J].Mechanism and Machine Theory,2010,45(2):261-272.
[5] SHEN Z,YAO B,TENG W,et al.Generating grinding profile between screw rotor and forming tool by digital graphic scanning(DGS)method[J].International Journal of Precision Engineering and Manufacturing,2016,17(1):35-41.
[6] STOSIC N,SMITH I K,KOVACECIC A,et al.Geometry of screw compressor rotors and their tools[J].Journal of Zhejiang University-Science A,2011,12(4):310-326.
[7] STOSIC N.Evaluating errors in screw rotor machining by tool to rotor transformation[J].Proceedings of the Institution of Mechanical Engineers,Part B:Journal of Engineering Manufacture,2006,220(10):1589-1596.
[8] STOSIC N.A geometric approach to calculating tool wear in screw rotor machining[J].International Journal of Machine Tools and Manufacture,2006,46(15):1961-1965.
[9] 沈志煌,姚斌,陆如升,等.精密螺杆蜗杆齿廓成形磨削的误差分析[J].吉林大学学报(工学版),2016(3):831-838.

备注/Memo

备注/Memo:

收稿日期:2018-02-06 录用日期:2018-06-12
基金项目:福建省自然科学基金(2018J05087); 福建省科技计划项目(JK2017025)
*通信作者:shenzhihuang@jmu.edu.cn
引文格式:沈志煌,刘菊东,皮钧,等.基于像素解法的渐开线蜗杆磨削用砂轮廓形计算方法[J].厦门大学学报(自然科学版),2018,57(5):736-740.
Citation:SHEN Z H,LIU J D,PI J,et al.A method of calculating forming wheel profile for grinding involute worm based on pixel solution[J].J Xiamen Univ Nat Sci,2018,57(5):736-740.(in Chinese)

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