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 language | English |
|---|---|
| Pages (from-to) | 411-428 |
| Number of pages | 18 |
| Journal | Transactions of the Canadian Society for Mechanical Engineering |
| Volume | 33 |
| Issue number | 3 |
| Publication status | Published - 2009 Dec 1 |
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All Science Journal Classification (ASJC) codes
- Mechanical Engineering
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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 journal › Article
TY - JOUR
T1 - Geometry and simulation of the generation of cylindrical gears by an imaginary disc cutter
AU - Yang, Hsueh-Cheng Yang
AU - Liang, Tsang Lang
PY - 2009/12/1
Y1 - 2009/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77955809776&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955809776&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:77955809776
VL - 33
SP - 411
EP - 428
JO - Transactions of the Canadian Society for Mechanical Engineering
JF - Transactions of the Canadian Society for Mechanical Engineering
SN - 0315-8977
IS - 3
ER -