Using a planar rack cutter with variable modulus to generate a spherical gear pair

Hsueh Cheng Yang, Chih Yao Sun

Research output: Contribution to journalArticle

Abstract

In this study, an imaginary planar rack cutter with variable modulus and discrete conical teeth was used to generate a spherical gear pair with double degree of freedom. First, a geometric method was used to design the mathematical model of the imaginary planar rack cutter with variable modulus and discrete conical teeth. Next, the relationship of coordinate systems between the generating and generated surfaces was established. Then, the family of the imaginary planar rack cutter surfaces was obtained by homogeneous coordinate transformation matrix. Further, two equations of meshing between the generating and generated surfaces were determined by the two-parameter envelope theory. The mathematical model of spherical gear pair with variable modulus and discrete ring-involute teeth can be created by using the two equations of meshing and the family of the imaginary planar rack cutter surfaces. The mathematical models of the spherical gear pair with double degree of freedom and tooth contact analysis method were used to investigate the assembly errors of the gear pair in four cases.

Original languageEnglish
Pages (from-to)108-120
Number of pages13
JournalTransactions of the Canadian Society for Mechanical Engineering
Volume44
Issue number1
DOIs
Publication statusPublished - 2020 Jan 1

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All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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