Geometric design and simulation of tooth profile using elliptical segments as its line of action

详细信息    查看全文

• 作者：Jian Wang ; Shan-ming Luo ; De-yu Su …
• 关键词：gear transmission ; tooth profile ; elliptical segment ; epicycloidal ; contact ratio
• 刊名：Journal of Central South University of Technology
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：22
• 期：6
• 页码：2119-2126
• 全文大小：762 KB
• 参考文献：[1]LUO Shan-ming, WU Yue, WANG Jian. The generation principle and mathematical models of a novel gear drive [J]. Mechanism and Machine Theory, 2008, 43(12): 1543-556.MATH View Article
  [2]CHEN Xiao-xia, LIU Yu-sheng, XING Jing-zhong, LIN Shu-zhong, XU Wei. The parameter design of double-circular-arc tooth profile and its influence on the functional backlash of harmonic drive [J]. Mechanism and Machine Theory, 2014, 73(3): 1-4.
  [3]FUENTES A, RUIZ-ORZAEZ R, GONZALEZ-PEREZ I. Computerized design, simulation of meshing, and finite element analysis of two types of geometry of curvilinear cylindrical gears [J]. Computer Methods in Applied Mechanics and Engineering, 2014,272(15): 321-39.MATH View Article
  [4]BAIR B W, SUNG M H, WANG J S, CHEN C F. Tooth profile generation and analysis of oval gears with circular-arc teeth [J]. Mechanism and Machine Theory, 2009, 44(6): 1306-317.MATH View Article
  [5]CHEN Bing-kui, ZHONG Hui, LIU Jing-ya, LI Chao-yang, FANG Ting-ting. Generation and investigation of a new cycloid drive with double contact [J]. Mechanism and Machine Theory, 2012, 49(3): 270-83.View Article
  [6]TSAI M H, TSAI Y C. Design of high-contact-ratio spur gear using quadratic parametric tooth profiles [J]. Mechanism and Machine Theory, 1998, 33(5): 551-64.MATH View Article
  [7]WANG Jian, LUO Shan-ming, WU Yue. A method for the preliminary geometric design of gear tooth profiles with small sliding coefficients [J]. ASME, Journal of Mechanical Design, 2010, 132(5): 1-.
  [8]DANIELI G A, MUNDO D. New developments in variable radius gears using constant pressure angle teeth [J]. Mechanism and Machine Theory, 2005, 40(2): 203-17.MATH View Article
  [9]WANG P Y, FONG Z H. Fourth-order kinematic synthesis for face-milling spiral bevel gears with modified radial motion (MRM) correction [J]. ASME Journal of Mechanical Design, 2006, 128(2): 457-67.View Article
  [10]LEE C K. Manufacturing process for a cylindrical crown gear drive with a controllable fourth order polynomial function of transmission error [J]. Journal of Materials Processing Technology, 2009, 209(1): 3-3.View Article
  [11]CAO Xue-mei, FANG Zong-de, XU Hao, SU Jin-zhan. Design of pinion machine tool-settings for spiral bevel gears by controlling contact path and transmission errors [J]. Chinese Journal of Aeronautics, 2008, 21(2): 179-86. (in Chinese)View Article
  [12]TSAI Y C, HSU W Y. The study on the design of spiral bevel gear sets with circular-arc contact paths and tooth profiles [J]. Mechanism and Machine Theory, 2008, 43(9): 1158-174.MATH View Article
  [13]FONG Z H, CHIANG T W, TSAI C W. Mathematical model for parametric tooth profile of spur gear using line of action [J]. Mathematical and Computer Modelling, 2002, 36 (4/5): 603-14.MATH
  [14]WANG Jian, HOU Liang, LUO Shan-ming, WU Yue. Active design of tooth profiles using parabolic curve as the line of action [J]. Mechanism and Machine Theory, 2013, 67(9): 47-3.View Article
  [15]LITVIN F L, FUENTES A. Gear geometry and applied theory [M]. 2nd ed. New York: Cambridge University Press, 2004.View Article
  
• 作者单位：Jian Wang (1) (2)
  Shan-ming Luo (1) (2)
  De-yu Su (2) (3)
  Xue-feng Chang (1) (2)
  
  1. School of Mechanical & Automotive Engineering, Xiamen University of Technology, Xiamen, 361024, China
  2. Key Laboratory of Precision Actuation and Transmission of Fujian Province University, Xiamen, 361024, China
  3. School of Electromechanical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China
  
• 刊物类别：Engineering
• 刊物主题：Engineering, general
  Metallic Materials
  Chinese Library of Science
  
• 出版者：Central South University, co-published with Springer
• ISSN：2227-5223

文摘

A mathematical model of gear tooth profiles using the ellipse curve, whose curvature is convenient to control by changing the mathematical parameters as its line of action, was built based on the meshing theory. The equation of undercutting condition was derived from the model. A special epicycloidal tooth profile was also presented. An example gear drive with variation of the ellipse parameters was taken to illustrate the proposed method. The contact ratio of the gear drive designed by the proposed method was analyzed. A comparison of the property of the gear drive designed with the involute gear drive was also carried out. The results confirm that the proposed gear drive has higher contact ratio in comparison with the involute gear drive.