| Citation: |
LIU Ganhua, TANG Naifu, WANG Qi. Accurate modeling of equal-distance spiral bevel gear and the trial production by metal powder injection molding process[J]. Powder Metallurgy Technology, 2024, 42(2): 207-214. DOI: 10.19591/j.cnki.cn11-1974/tf.2021100012
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As a new type of bevel gear, the equal-distance spiral bevel gear is suitable for the mass production by metal powder injection molding (MIM) due to the characteristic as the normal equal-distance of spiral tooth surface. According to the coordinate transformation theory, the parametric equations of spherical involute and equal-distance conical spiral curves were derived. The mathematical model of tooth surface was established by the formation principle of tooth surface. The mathematical model of tooth surface was programmed by MATLAB to calculate the coordinates of discrete points on tooth surface, and the accurate modeling of equal-distance spiral bevel gear was completed by reverse engineering of UG. The meshing contact of equal-distance spiral bevel gear was simulated to obtain the transmission performance in ANSYS. Finally, the trial production of equal-distance spiral bevel gear was completed base on the MIM process. In the results, the mathematical model of tooth surface combined with the inverse modeling of discrete points can ensure the accuracy of 3D model, and MIM process can be used to produce the equal-distance spiral bevel gears for mass production.
| [1] |
郭开元, 张如华, 吴泽, 等. 主动螺旋锥齿轮镦挤成形方案的对比研究. 塑性工程学报, 2018, 25(6): 111
Guo K Y, Zhang R H, Wu Z, et al. Comparative study on upsetting extrusion forming schemes of spiral bevel driving gear. J Plast Eng, 2018, 25(6): 111
|
| [2] |
王瑶, 查光成, 谢斌, 等. 螺旋伞齿轮近净成形实验研究. 塑性工程学报, 2020, 27(4): 33
Wang Y, Zha G C, Xie B, et al. Experimental research on near net shape forming of spiral bevel gear. J Plast Eng, 2020, 27(4): 33
|
| [3] |
Huston R L, Coy J J. Ideal spiral bevel gears-a new approach to surface geometry. J Mech Des, 1981, 103(1): 127
|
| [4] |
Huston R L, Coy J J. Surface geometry of circular cut spiral bevel gears. J Mech Des, 1982, 104(4): 43
|
| [5] |
李强, 蒋建锋, 王丽婷, 等. 对数螺旋锥齿轮精确建模方法研究. 现代制造工程, 2017(7): 95
Li Q, Jiang J F, Wang L T, et al. Research on accurate modeling method of logarithmic spiral bevel gear. Mod Manuf Eng, 2017(7): 95
|
| [6] |
赵军, 罗善明, 何旺枝. 温锻小锥角弧齿锥齿轮脱模运动分析. 金属铸锻焊技术, 2011, 40(21): 64
Zhao J, Luo S M, He W Z. Analysis on demoulding process of warm forging small cone angle spiral bevel gear. Cast Forg Weld, 2011, 40(21): 64
|
| [7] |
黄恺, 李雷, 张晓光. 基于ADAMS的弧齿锥齿轮锻件脱模可行研究. 机械设计与制造, 2006(9): 39 DOI: 10.3969/j.issn.1001-3997.2006.09.017
Huang K, Li L, Zhang X G. Investigation on liftout of forging spiral bevel gear. Mach Des Manuf, 2006(9): 39 DOI: 10.3969/j.issn.1001-3997.2006.09.017
|
| [8] |
Zheng F Y, Guo X D, Zhang M D, et al. Research on the mold release motion for spiral bevel gear forging. Int J Mech Sci, 2018, 136: 482
|
| [9] |
张华, 蒋亚波, 杨建军, 等. 小模数弧齿锥齿轮设计与加工的新方法. 机床与液压, 2016, 44(23): 50 DOI: 10.3969/j.issn.1001-3881.2016.23.012
Zhang H, Jiang Y B, Yang J J, et al. Small module spiral bevel gears design and new machining method. Mach Tool Hydraul, 2016, 44(23): 50 DOI: 10.3969/j.issn.1001-3881.2016.23.012
|
| [10] |
张宇, 严宏志, 曾韬. 弧齿锥齿轮双重螺旋法切齿原理及齿面接触分析研究. 机械工程学报, 2015, 51(21): 15 DOI: 10.3901/JME.2015.21.015
Zhang Y, Yan H Z, Zeng T. Cutting principle and tooth contact analysis of spiral bevel and hypoid gears generated by duplex helical method. J Mech Eng, 2015, 51(21): 15 DOI: 10.3901/JME.2015.21.015
|
| [11] |
刘超, 孔祥吉, 吴胜文, 等. 生物医用Ti6Al4V合金粉末注射成形工艺研究. 粉末冶金技术, 2018, 36(3): 217
Liu C, Kong X J, Wu S W, et al. Research on powder injection molding of Ti6Al4V alloys for biomedical application. Powder Metall Technol, 2018, 36(3): 217
|
| [12] |
刘超, 孔祥吉, 吴胜文, 等. 钛及钛合金金属粉末注射成形技术的研究进展. 粉末冶金技术, 2017, 35(2): 150
Liu C, Kong X J, Wu S W, et al. Research progress on metal injection molding of titanium and titanium alloys. Powder Metall Technol, 2017, 35(2): 150
|
| [13] |
German R M, 韩凤麟. 金属注射成形(MIM)设计与应用指南. 粉末冶金技术, 2014, 32(4): 306
German R M, Han F L. Designing for metal injection moulding: A guide for designers and end-users. Power Metall Technol, 2014, 32(4): 306
|
| [14] |
曾韬. 螺旋锥齿轮设计与加工. 哈尔滨: 哈尔滨工业大学出版社, 1989
Zeng T. Spiral Bevel Gear Design and Processing. Harbin: Harbin Institute of Technology Press, 1989
|
| [15] |
吴序堂. 齿轮啮合原理. 西安: 西安交通大学出版社, 2009
Wu X T. Theory of Gear Meshing. Xi’an: Xi’an JiaoTong University Press, 2009
|
| [16] |
Litvin F L, Fuentes A. Gear Geometry and Applied Theory. Cambridge: Cambridge University Press, 2004
|
| [17] |
Fan S Q, Zou J S, Shi M Q. Parametric surface and properties defined on parallelogrammic domain. J Comput Des Eng, 2014, 1(1): 27
|
| [18] |
唐进元, 曹康, 杜晋, 等. 含过渡曲面的弧齿锥齿轮齿面精确建模. 机械科学与技术, 2009, 28(3): 317 DOI: 10.3321/j.issn:1003-8728.2009.03.008
Tang J Y, Cao K, Du J, et al. Accurate modeling of the tooth-surface of a spiral bevel gear with fillet. Mech Sci Technol Aerosp Eng, 2009, 28(3): 317 DOI: 10.3321/j.issn:1003-8728.2009.03.008
|
| [19] |
贺敬良, 吴序堂. 锥形齿轮滚削齿面的构成理论及参数计算. 西安交通大学学报, 2003(9): 906 DOI: 10.3321/j.issn:0253-987X.2003.09.007
He J L, Wu X T. Hobbing tooth flank generating theory and parameters calculation of conical involute gears. J Xi’an Jiaotong Univ, 2003(9): 906 DOI: 10.3321/j.issn:0253-987X.2003.09.007
|
| [20] |
刁云龙. 等高齿对数螺旋锥齿轮共轭理论研究[学位论文]. 包头: 内蒙古科技大学, 2014
Diao Y L. Study on Conjugate Theory of Constant-Depth Tooth Logarithmic Spiral Bevel Gear [Dissertation]. Baotou: lnner Mongolia University of Science and Technology, 2014
|
| [21] |
涂德新, 姜付锦. 等距圆锥螺旋线数理性质的初探. 物理通报, 2018(12): 75 DOI: 10.3969/j.issn.0509-4038.2018.12.022
Tu D X, Jiang F J. Preliminary study on the mathematical properties of equal-distance conical spiral curve. Phys Bull, 2018(12): 75 DOI: 10.3969/j.issn.0509-4038.2018.12.022
|
| [22] |
谭儒龙. 共轭曲线锥齿轮研究[学位论文]. 重庆: 重庆大学, 2016
Tan R L. Researches on Spatial Conjugate Curve Bevel Gears [Dissertation]. Chongqing: Chongqing University, 2016
|
| [23] |
张弛. 金属粉末注射成形技术. 北京: 化学工业出版社, 2008
Zhang C. Metal Injection Molding Technology. Beijing: Chemical Industry Press, 2008
|
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