一种基于OpenGL的螺旋成型加工轴截面廓形计算方法

doi:10.3901/JME.2020.15.218

机械工程学报 ›› 2020, Vol. 56 ›› Issue (15): 218-226.doi: 10.3901/JME.2020.15.218

扫码分享

一种基于OpenGL的螺旋成型加工轴截面廓形计算方法

贾康^1,2, 郑帅³, 洪军^1,2

1. 西安交通大学现代设计与转子轴承系统教育部重点实验室西安 710049;
2. 西安交通大学机械工程学院西安 710049;
3. 西安交通大学软件工程学院西安 710049

收稿日期:2019-09-20 修回日期:2020-04-09 出版日期:2020-08-05 发布日期:2020-10-19
通讯作者: 洪军(通信作者),男,1968年出生,博士,教授,博士研究生导师。主要研究方向为数字化设计、制造与装配,精密电主轴技术。E-mail:jhong@mail.xjtu.edu.cn
作者简介:贾康,男,1987年出生,博士,助理研究员。主要研究方向为数字化制造与装配,CAD/CAM,大尺寸空间测量。E-mail:jiakang@xjtu.edu.cn
基金资助:
国家自然科学基金（51705403，51635010）和中国博士后基金（2017M623158）资助项目。

A Transversal Profile Calculation Method for Helical Forming Machining Based on OpenGL

JIA Kang^1,2, ZHENG Shuai³, HONG Jun^1,2

1. Key Laboratory of Education Ministry for Modern Design & Rotor-Bearing System, Xi'an Jiaotong University, Xi'an 710049;
2. School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049;
3. School of Software Engineering, Xi'an Jiaotong University, Xi'an 710049

Received:2019-09-20 Revised:2020-04-09 Online:2020-08-05 Published:2020-10-19

摘要/Abstract

摘要： 轴截面加工廓形的精确计算是螺旋特征加工的一个重要问题。不同于常规的解析法、离散法或布尔运算法等都在三维图形空间内进行求解，从可视化角度将空间几何问题映射到图像空间，提出了一种基于OpenGL图形渲染隐含计算的计算方法。首先，对螺旋特征成型加工的数学模型进行构建；然后，对螺旋特征轴截面加工空间的渲染计算原理从图形空间到图形空间的关系进行解析；随后，对计算的完整实现方案分别从图形空间与图像空间之间的映射关系、几何模型空间相交像素信息渲染表征实现以及轴截面廓形的最终解析提取进行研究，并给完整的计算实现框架与流程性函数组。最后以锥铣刀的螺旋槽铣削加工为例，进行了轴截面加工廓形的计算，并通过与解析解进行比验证了所提方法的有效性。

关键词: OpenGL, 图形渲染, 螺旋槽, 成型加工, 轴截面廓形, GPGPU

Abstract: Accurate calculate the machined transverse profile of part for helical feature manufacturing is a significant question. Unlike the traditional methods such as analytical ones, discrete ones and Boolean ones solve problems in 3-D space, through mapping the transvers profile identification problem from 3-D space to image space based on the visibility theory, a OpenGL-assist implicit graphic rendering calculate method is developed. At first, the mathematical model for the forming machining of the helical feature is constructed. Then, the rendering based calculate theory is analyzed through the relationship between the 3-D space and image space. Next, the entire calculate method is detailed presented in the aspects of mapping between the 3-D space and image space, how the operation of the pixel rendering indicates the intersection in 3-D space, and the result extraction from image space to 3-D space. Meanwhile, the complete calculate frame and corresponding function groups are provided. At last, the profile calculation of for a helical groove milling by a taper cutter is taken to proof the effectiveness of proposed method via comparing with the analytical result.

Key words: OpenGL, graphic rendering, helical groove, forming machining, transverse profile, GPGPU

中图分类号:

TH164

贾康, 郑帅, 洪军. 一种基于OpenGL的螺旋成型加工轴截面廓形计算方法[J]. 机械工程学报, 2020, 56(15): 218-226.

JIA Kang, ZHENG Shuai, HONG Jun. A Transversal Profile Calculation Method for Helical Forming Machining Based on OpenGL[J]. Journal of Mechanical Engineering, 2020, 56(15): 218-226.

参考文献

[1] WALTER. Helitronic power-CNC tool grinding machine-for production and resharpening[R]. 2008.
[2] SHETH D,MALKIN S. CAD/CAM for geometry and process analysis of helical groove machining[J]. CIRP Ann.-Manuf. Technol.,1990,39(1):129-132.
[3] ZHANG Wei,WANG Xianfeng,HE Fengbao,et al. A practical method of modelling and simulation for drill fluting[J]. Int. J. Mach. Tools. Manuf.,2006,46(6):667-672.
[4] NGUYEN V,KO S. Determination of workpiece profile and influence of singular point in helical grooving[J]. CIRP Ann.-Manuf. Technol.,2013,62:323-326.
[5] XIAO Silai,WANG Liming,CHEN Z,et al. A new and accurate mathematical model for computer numerically controlled programming of 4Y1 wheels in 2½-axis flute grinding of cylindrical end-mills[J]. J. Manuf. Sci. Eng.,2013,135:41008.
[6] REN Lei,WANG Shilong,YI Lili,et al. An accurate method for five-axis flute grinding in cylindrical end-mills using standard 1V1/1A1 grinding wheels[J]. Precision Engineering,2016,43:387-394.
[7] JIA Kang,HONG Jun,ZHENG Shuai,et al. An approach on wheel position and orientation calculation for helical broaching tool sharpening[J]. Int. J. Adv. Manuf. Technol.,2017,92:1991-2000.
[8] KO S. Geometrical analysis of helical flute grinding and application to end mill[J]. Transactions of NAMRI/SME,1994,12:165-172.
[9] WU Yuren,FONG Zhonghua,ZHANG Zhengxiang. Simulation of a cylindrical form grinding process by the radial-ray shooting (RRS) method[J]. Mechanism & Machine Theory,2010,45(2):261-272.
[10] 贾康,洪军,张银行. 一种拉刀螺旋容屑槽前刀面磨削砂轮安装位姿计算方法[J]. 机械工程学报,2019,55(11):205-214. JIA Kang,HONG Jun,ZHANG Yinhang. An approach on wheel setup calculation for helical rake flank sharpening of broaching tool[J]. Journal of Mechanical Engineering,2019,55(11):205-214.
[11] JIA Kang,GUO Junkang,ZHENG Shuai,et al. A general mathematical model for two-parameter generating machining of involute cylindrical gears[J]. Applied Mathematical Modelling,2019,75:37-51.
[12] KARPUSCHEWSKI B,JANDECKA K,MOUREK D. Automatic search for wheel position in flute grinding of cutting tools[J]. CIRP Ann.-Manuf. Technol.,2011,60:347-350.
[13] LI Guochao,SUN Jie,LI Jianfeng. Process modeling of end mill groove machining based on Boolean method[J]. Int. J. Adv. Manuf. Technol.,2014,75(5-8):959-966.
[14] IVANOV V,NANKOV G,KIROV V. CAD orientated mathematical model for determination of profile helical surfaces[J]. Int. J. Mach. Tools. Manuf.,1998,38(8):1001-1015.
[15] MOHAN L,SHUNMUGAM M. CAD approach for simulation of generation machining and identification of contact lines[J]. Int. J. Mach. Tools. Manuf.,2004,44(7-8):717-723.
[16] LI Guochao,SUN Jie,LI Jianfeng. Modeling and analysis of helical groove grinding in end mill machining[J]. J. Mater. Process. Technol.,2014,214:3067-3076.
[17] KIM J,PARK J,KO T. End mill design and machining via cutting simulation[J]. Computer-Aided Design,2008,40(3):324-333.
[18] 范昭炜,万华根,高曙明. 基于流的实时碰撞检测算法[J]. 软件学报,2004(10):83-92. FAN Zhaowei,WAN Huagen,GAO Shuming. Streaming real time collision detection using programmable graphics hardware[J]. Journal of Software,2004(10):83-92.
[19] WANG Qinghui,LI Jingrong,GONG H. Graphics-assisted cutter orientation correction for collision-free five-axis machining[J]. International Journal of Production Research,2007,45(13):2875-2894.
[20] LUEBKE D,HARRIS M,KRUGER J,et al. GPGPU:General purpose computation on graphics hardware[C]//Acm Siggraph Course Notes,ACM,2006.
[21] SHREINER D. OpenGL编程指南[M]. 5版. 北京:机械工业出版社,2006. SHREINER D. OpenGL programming guide[M]. 5th ed. Beijing:China Mechine Press,2006.

一种基于OpenGL的螺旋成型加工轴截面廓形计算方法

A Transversal Profile Calculation Method for Helical Forming Machining Based on OpenGL

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	任磊, 韩家祥, 张新民, 郭强, 崔晓斌. 圆弧投影法在圆柱立铣刀容屑槽刃磨中的应用[J]. 机械工程学报, 2023, 59(17): 335-348.
[2]	梁磊, 陈光, 张婧, 耿昆, 何春雷, 任成祖. 圆锥滚子双盘研磨工作面求解与形面分析[J]. 机械工程学报, 2021, 57(13): 252-261.
[3]	张存鹰, 赵波. 非均匀介质超声铣削系统振动特性研究[J]. 机械工程学报, 2019, 55(19): 221-231.
[4]	梁志强, 郭海新, 张素燕, 王西彬, 周天丰, 刘志兵, 李玉, 陈建军. 微细钻头螺旋槽刃磨试验研究[J]. 机械工程学报, 2019, 55(13): 185-194.
[5]	贾康, 洪军, 张银行. 一种拉刀螺旋容屑槽前刀面磨削砂轮安装位姿计算方法[J]. 机械工程学报, 2019, 55(11): 205-214.
[6]	袁松梅, 唐志祥, 吴奇, 宋衡. 纵扭超声换能器设计及其性能测试研究[J]. 机械工程学报, 2019, 55(1): 139-148.
[7]	胡松涛, 黄伟峰, 刘向锋, 王玉明. 螺旋槽干气密封稳态特性分析模型的对比研究[J]. 机械工程学报, 2017, 53(23): 7-13.
[8]	宋铁军, 周志雄, 李伟, 黄向明, 陈启迪. 硬质合金立铣刀螺旋槽磨削表面粗糙度模型研究[J]. 机械工程学报, 2017, 53(17): 185-192.
[9]	江锦波, 彭旭东, 白少先, 李纪云. 仿生集束螺旋槽干式气体密封特性的数值分析[J]. 机械工程学报, 2015, 51(15): 20-26.
[10]	赵一民;胡纪滨;苑士华;魏超. 基于质量守恒边界条件的螺旋槽旋转密封性能分析[J]. , 2014, 50(22): 142-149.
[11]	丁雪兴;蒲军军;韩明君;张伟政;俞树荣. 基于二阶滑移边界的螺旋槽干气密封气膜刚度计算与分析[J]. , 2011, 47(23): 119-124.
[12]	刘韧;王晓力. 微气体螺旋槽推力轴承润滑数值模拟[J]. , 2010, 46(21): 113-118.
[13]	周剑锋;顾伯勤. 螺旋槽机械密封的可控性[J]. , 2009, 45(1): 106-110.
[14]	张国渊;袁小阳;赵伟刚;李治国;杨绍康. 螺旋槽端面密封脱开转速的理论及试验[J]. , 2008, 44(8): 55-60.
[15]	徐万福;刘雨川;李福春;吴成林. 用于高(焦)炉煤气风机的非接触螺旋槽干气密封的设计与分析[J]. , 2005, 41(9): 194-197.