Geometry and simulation of the generation of cylindrical gears by an imaginary disc cutter

Hsueh-Cheng Yang Yang, Tsang Lang Liang

Research output: Contribution to journalArticle

Abstract

This paper proposed a method of representing the geometry of an imaginary disc cutter in parameter form. The undercutting condition of the imaginary disc cutter is studied, and the mathematical model of the generated gears is developed by the undercutting condition of the cutter. Through a mathematical model of the generation process, the vector equations of generated gears are established. According to the proposed method, a planetary gear mechanism and a pair of gear pump with smaller numbers of teeth are illustrated. A cutting simulation process is presented for machining the proposed gear pairs. Stress analysis for the proposed gear mechanism is performed. Finally, the proposed method is applied to determine singular points of the proposed disc cutter.

Original languageEnglish
Pages (from-to)411-428
Number of pages18
JournalTransactions of the Canadian Society for Mechanical Engineering
Volume33
Issue number3
Publication statusPublished - 2009 Dec 1

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Gears
Geometry
Mathematical models
Gear pumps
Stress analysis
Machining

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

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Geometry and simulation of the generation of cylindrical gears by an imaginary disc cutter. / Yang, Hsueh-Cheng Yang; Liang, Tsang Lang.

In: Transactions of the Canadian Society for Mechanical Engineering, Vol. 33, No. 3, 01.12.2009, p. 411-428.

Research output: Contribution to journalArticle

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