Abstract
A simple procedure using gear theory for a family of rack cutters to determine the profile of a spherical gear of the ring-involute-teeth type, with a double degree of freedom, is presented. The analytical profile of the spherical gear can be obtained by the following two steps. First, gear theory is used to find an envelope for a family of rack cutters; and secondly, the envelope obtained is used to rotate an angle about an axis. Based on these two steps, a mathematical model for a spherical gear, with ring-involute teeth and with two degrees of freedom can be generated. The procedure is illustrated by application to a spherical gear with ring-involute teeth analytically formulated. In the machining process, the required cutting path is simulated and provided by a software package. The mechanism of the generated spherical gear is produced with the aid of CAD software.
| Original language | English |
|---|---|
| Pages (from-to) | 865-870 |
| Number of pages | 6 |
| Journal | International Journal of Advanced Manufacturing Technology |
| Volume | 20 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2002 Dec 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Software
- Mechanical Engineering
- Computer Science Applications
- Industrial and Manufacturing Engineering
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Mathematical model of a ring-involute-teeth spherical gear with a double degree of freedom. / Yang, S. C.
In: International Journal of Advanced Manufacturing Technology, Vol. 20, No. 12, 01.12.2002, p. 865-870.Research output: Contribution to journal › Article
TY - JOUR
T1 - Mathematical model of a ring-involute-teeth spherical gear with a double degree of freedom
AU - Yang, S. C.
PY - 2002/12/1
Y1 - 2002/12/1
N2 - A simple procedure using gear theory for a family of rack cutters to determine the profile of a spherical gear of the ring-involute-teeth type, with a double degree of freedom, is presented. The analytical profile of the spherical gear can be obtained by the following two steps. First, gear theory is used to find an envelope for a family of rack cutters; and secondly, the envelope obtained is used to rotate an angle about an axis. Based on these two steps, a mathematical model for a spherical gear, with ring-involute teeth and with two degrees of freedom can be generated. The procedure is illustrated by application to a spherical gear with ring-involute teeth analytically formulated. In the machining process, the required cutting path is simulated and provided by a software package. The mechanism of the generated spherical gear is produced with the aid of CAD software.
AB - A simple procedure using gear theory for a family of rack cutters to determine the profile of a spherical gear of the ring-involute-teeth type, with a double degree of freedom, is presented. The analytical profile of the spherical gear can be obtained by the following two steps. First, gear theory is used to find an envelope for a family of rack cutters; and secondly, the envelope obtained is used to rotate an angle about an axis. Based on these two steps, a mathematical model for a spherical gear, with ring-involute teeth and with two degrees of freedom can be generated. The procedure is illustrated by application to a spherical gear with ring-involute teeth analytically formulated. In the machining process, the required cutting path is simulated and provided by a software package. The mechanism of the generated spherical gear is produced with the aid of CAD software.
UR - http://www.scopus.com/inward/record.url?scp=0036941702&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036941702&partnerID=8YFLogxK
U2 - 10.1007/s001700200210
DO - 10.1007/s001700200210
M3 - Article
AN - SCOPUS:0036941702
VL - 20
SP - 865
EP - 870
JO - International Journal of Advanced Manufacturing Technology
JF - International Journal of Advanced Manufacturing Technology
SN - 0268-3768
IS - 12
ER -