Geometric modelling for cylindrical and helical gear pumps with circular arc teeth

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Abstract

This paper describes a simple approach based on the envelope theory for deriving the geometric models of cylindrical and helical gear pumps with circular arc teeth. A gear pump with circular arc teeth can be easily obtained through the envelope theory for a one-parameter family of surfaces. In the process of machining a gear blank, the required rack-cutter teeth can be obtained by using the obtained cylindrical and helical gears, whose forms are easily determined by the envelope theory. Here the authors provide geometric modelling of the designed gear pump meshing when assembly errors are present. To illustrate the effectiveness of the approach, an analytical expression of cylindrical and helical gear pumps with circular arc teeth is given.

Original languageEnglish
Pages (from-to)599-607
Number of pages9
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering
Volume214
Issue number4
DOIs
Publication statusPublished - 2000 Jan 1

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Gear pumps
Helical gears
Gear teeth
Gears
Machining

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

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AB - This paper describes a simple approach based on the envelope theory for deriving the geometric models of cylindrical and helical gear pumps with circular arc teeth. A gear pump with circular arc teeth can be easily obtained through the envelope theory for a one-parameter family of surfaces. In the process of machining a gear blank, the required rack-cutter teeth can be obtained by using the obtained cylindrical and helical gears, whose forms are easily determined by the envelope theory. Here the authors provide geometric modelling of the designed gear pump meshing when assembly errors are present. To illustrate the effectiveness of the approach, an analytical expression of cylindrical and helical gear pumps with circular arc teeth is given.

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