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 | |
| Publication status | Published - 2000 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mechanical Engineering
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Geometric modelling for cylindrical and helical gear pumps with circular arc teeth. / Chen, C. K.; Yang, Hsueh-Cheng Yang.
In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering, Vol. 214, No. 4, 01.01.2000, p. 599-607.Research output: Contribution to journal › Article
TY - JOUR
T1 - Geometric modelling for cylindrical and helical gear pumps with circular arc teeth
AU - Chen, C. K.
AU - Yang, Hsueh-Cheng Yang
PY - 2000/1/1
Y1 - 2000/1/1
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 -