Machine Setting Calculation and Contact Characteristics Control Method of Face Hobbing Hypoid Gear

doi:10.3901/JME.2018.19.049

Abstract

Abstract: The forming principle of the hypoid gear by the face hobbing method was analyzed, and the face hobbing machine setting calculation process was deduced under local contact state. It proposed a contact characteristics control method, which can designate the position of contact reference points on the tooth surface as necessary and simultaneously control the contact status on both sides of the tooth. The influence of the contact characteristics control parameters to the contact pattern morphological parameters was analyzed. The result shows that the tilt angle mainly controls the length of contact pattern and transmission error, the blade curvature mainly controls diagonal direction of contact trace and transmission error. And there is mutual restraint relationship among contact characteristics parameters. The contact characteristics control method and machine setting calculation algorithms were verified based on the calculation example as well as the face hobbing cutting experiment.

Key words: contact characteristics, face hobbing, hypoid gear, machine setting calculation

CLC Number:

TG61

ZHANG Weiqing, GUO Xiaodong, ZHANG Mingde. Machine Setting Calculation and Contact Characteristics Control Method of Face Hobbing Hypoid Gear[J]. Journal of Mechanical Engineering, 2018, 54(19): 49-57.

References

[1] LITVIN F L,CHAING W S,KUAN C,et al. Generation and geometry of hypoid gear member with face-hobbed teeth of uniform depth[J]. International Journal of Machine Tools and Manufacture,1991,31(2):167-181.
[2] FAN Qi. Computerized modeling and simulation of spiral bevel and hypoid gears manufactured by gleason face hobbing process[J]. ASME Journal of Mechanical Design,2006,128(11):1315-1327.
[3] FAN Qi. Kinematical simulation of face hobbing indexing and tooth surface generation of spiral bevel and hypoid gears[J]. Gear Technology,2006(1):30-38.
[4] SHIH Yipei,FONG Zhanghua. Mathematical model for a universal face hobbing hypoid gear generator[J]. ASME Journal of Mechanical Design,2007,129(1):38-47.
[5] SHIH Yipei,FONG Zhanghua. Flank modification methodology for face-hobbing hypoid gears based on ease-off topography[J]. ASME Journal of Mechanical Design,2007,129:1294-1302.
[6] VIMERCATI M. Mathematical model for tooth surfaces representation of face-hobbed hypoid gears and its application to contact analysis and stress calculation[J]. Mechanism and Machine Theory,2007,42:668-690.
[7] LITVIN F L. Gear geometry and applied theory[M]. 2nd ed. New York:Cambridge University Press,2004.
[8] LITVIN F L,FUENTES A,FAN Qi,et al. Computerized design,simulation of meshing,and contact and stress analysis of face-milled formate generated spiral bevel gears[J]. Journal of Mechanical Design,2002(37):441-459.
[9] FUENTES A,LITVIN F L,MULLINS B R. Design and stress analysis of low-noise adjusted bearing contact spiral bevel gears[J]. Journal of Mechanical Design,2002,124(9):523-532.
[10] SHIH Yipei. A novel ease-off flank modification methodology for spiral bevel and hypoid gears[J]. Mechanism and Machine Theory,2010(45):1108-1124.
[11] ARTONI A,GABICCINI M,KOLIVAND M. Ease-off based compensation of tooth surface deviations for spiral bevel and hypoid gears:Only the pinion needs corrections[J]. Mechanism and Machine Theory,2013(61):84-101.
[12] CAO Xuemei,FANG Zongde,XU Hao,et al. Design of pinion machine tool-settings for spiral bevel gears by controlling contact path and transmission errors[J]. Chinese Journal of Aeronautics,2008(21):179-186.
[13] SHTIPELMAN B A. Design and manufacture of hypoid gears[M]. New York:John Wiley & Sons Inc.,1978.
[14] 董学朱. 延伸外摆线齿准双曲面齿轮几何设计和切齿调整计算新方法[J]. 机械传动,1999,23(4):16-19. DONG Xuezhu. The geometry design and machine setting calculation new method of epicycloids hypoid gear[J]. Journal of Mechanical Transmission,1999,23(4):16-19.
[15] 董学朱. 摆线齿锥齿轮及准双曲面齿轮设计与制造[M]. 北京:机械工业出版社,2002. DONG Xuezhu. Design and manufacture of epicycloids bevel gear and hypoid gear[M]. Beijing:China Machine Press,2002.
[16] 宣佳敏,魏文军,刘平义,等. 预置接触区长度系数的Spirac切齿调整计算方法[J]. 航空动力学报,2015,30(1):209-218. XUAN Jiamin,WEI Wenjun,LIU Pingyi,et al. Spirac machine-tool setting calculation method by predetermined contact pattern length factor[J]. Chinese Journal of Aeronautics,2015,30(1):209-218.
[17] ZHANG Weiqing,CHENG Bingkui,GUO Xiaodong,et al. Motion control method for face hobbing on CNC hypoid generator[J]. Mechanism & Machine Theory,2015(92):127-143.
[18] 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[J]. 机械工程学报,2015,51(21):15-23. ZHANG Yu,YAN Hongzhi,ZENG Tao. Cutting principle and tooth contact analysis of spiral bevel and hypoid gears generated by duplex helical method[J]. Journal of Mechanical Engineering,2015,51(21):15-23.
[19] 吴训成,毛世民,吴序堂. 点啮合齿面主动设计研究[J].机械工程学报,2000,36(4):70-73. WU Xuncheng,MAO Shimin,WU Xutang. Study on the function oriented design of point-contact tooth surface[J]. Chinese Journal of Mechanical Engineering,2000,36(4):70-73.