TY - JOUR
T1 - Geometry and simulation of the generation of cylindrical gears by an imaginary disc cutter
AU - Yang, Shyue Cheng
AU - Liang, Tsang Lang
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
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.
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U2 - 10.1139/tcsme-2009-0029
DO - 10.1139/tcsme-2009-0029
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 -