• CN:11-2187/TH
  • ISSN:0577-6686

›› 2011, Vol. 47 ›› Issue (5): 19-25.

• 论文 • 上一篇    下一篇

双自由度直线环面蜗杆副啮合分析及试验验证

李海涛;魏文军;董学朱   

  1. 中国农业大学工学院
  • 发布日期:2011-03-05

Mesh Analysis and Test Verification on Two Degrees of Freedom Linear Cutting Tools Enveloping Worm Gears

LI Haitao;WEI Wenjun;DONG Xuezhu   

  1. College of Engineering, China Agricultural University
  • Published:2011-03-05

摘要: 为了提高直廓环面蜗杆副的接触质量,在加工直廓环面蜗杆直线刀刃转动时,再增加一个独立的沿着刀座轴线的移动,把刀刃由单自由度的运动变为双自由度的运动,从而得到一种新的环面蜗杆加工方法以及一种新的环面蜗杆传动,称之为双自由度直线环面蜗杆传动。建立这种环面蜗杆副的啮合分析数学模型,得到直线刀刃运动螺旋参数的计算公式;研究蜗杆头数和直线刀刃运动螺旋参数对蜗杆的根切界线、边齿顶厚、齿面接触区、蜗杆上双线接触区长度和蜗轮齿面上微观啮合质量的影响规律;采用普通滚齿机加工出一对这种环面蜗杆副,进行接触区试验,验证理论计算的结果。双自由度直线环面蜗杆传动可用于蜗杆头数多达6的场合;选择合适的直线刀刃运动螺旋参数可以得到比直廓环面蜗杆传动更好的接触质量、传动性能,具有实用价值。

关键词: 齿面接触分析, 蜗杆副, 验证, 自由度, 本体, 创新方法, 工艺设计, 知识模型

Abstract: In order to improve the contact quality of Hindley worm gears, a dependent linear motion along the axis of the basic member is added to the linear cutting tools besides its rotation when the Hindley worm is cut, i.e. the single degree of freedom motion of the linear cutting tools is changed into two degrees of freedom one. So a new method of manufacturing enveloping worm and a new type of enveloping worm gears, which is called two degrees of freedom linear cutting tools enveloping worm gears, are obtained. The mathematical model of meshing analysis of the worm gears is built and the formula of calculating the helical parameter of the linear cutting tools motion is given. The affecting regularities of the number of the thread of the worm and the helical parameter of the linear cutting tools motion on the undercutting line, the addendum thickness of the side tooth, the contact pattern, the length of the double line contact pattern on the worm and the micro contact quality on the worm gear are studied. A pair of worm gears is manufactured on a normal hob machine. The contact pattern test of the worm gears is carried out to verify the theoretical calculation results. The worm gears can be used with up to six threads of the worm; better contact quality and transmission performance than those of Hindley worm gears can be obtained by selecting suitable helical parameter of the linear cutting tools motion, and which has practical value.

Key words: Degrees of freedom, Tooth contact analysis, Verification, Worm gears, Innovation approaches, Knowledge model, Manufacturing planning design, Ontology

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