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

C. K. Chen; S. C. Yang

doi:10.1243/0954406001523939

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

C. K. Chen, S. C. Yang

Graduate Institute of Vehicle Engineering

Research output: Contribution to journal › Article

27 Citations (Scopus)

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 language	English
Pages (from-to)	599-607
Number of pages	9
Journal	Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering
Volume	214
Issue number	4
DOIs	https://doi.org/10.1243/0954406001523939
Publication status	Published - 2000

All Science Journal Classification (ASJC) codes

Mechanical Engineering

Access to Document

10.1243/0954406001523939

Fingerprint Dive into the research topics of 'Geometric modelling for cylindrical and helical gear pumps with circular arc teeth'. Together they form a unique fingerprint.

Cite this

Chen, C. K., & Yang, S. C. (2000). Geometric modelling for cylindrical and helical gear pumps with circular arc teeth. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering, 214(4), 599-607. https://doi.org/10.1243/0954406001523939

@article{3813dd8b6f4e45ccae7b62bc75d830fa,

title = "Geometric modelling for cylindrical and helical gear pumps with circular arc teeth",

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.",

author = "Chen, {C. K.} and Yang, {S. C.}",

year = "2000",

doi = "10.1243/0954406001523939",

language = "English",

volume = "214",

pages = "599--607",

journal = "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science",

issn = "0954-4062",

publisher = "SAGE Publications Ltd",

number = "4",

}

TY - JOUR

T1 - Geometric modelling for cylindrical and helical gear pumps with circular arc teeth

AU - Chen, C. K.

AU - Yang, S. C.

PY - 2000

Y1 - 2000

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0034125322&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034125322&partnerID=8YFLogxK

U2 - 10.1243/0954406001523939

DO - 10.1243/0954406001523939

M3 - Article

AN - SCOPUS:0034125322

VL - 214

SP - 599

EP - 607

JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

SN - 0954-4062

IS - 4

ER -