Browsing by Author "Nagata, S"

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A general mathematical model for gears cut by CNC hobbing machines
(1997-03-01)
Chang, SL
;
Tsay, CB
;
Nagata, S
;
機械工程學系
;
Department of Mechanical Engineering
A hobbing machine's cutting mechanism is a mechanism with multi-degree of freedom during the cutting process. In this paper, we propose a general gear mathematical model simulating the generation process of a 6-axis CNC hobbing machine based on the cutting mechanism of CNC hobbing machine and worm-type hob cutter. The proposed gear mathematical model can be applied to simulate different types of gear cutting. Some examples are included to verify the mathematical model. Also, a novel type of gear named ''Helipoid'' which can be used in crossed axes transmission is proposed. The proposed general gear mathematical model can facilitate a more thorough understanding of generation processes and toward the development of novel types of gears.
A general mathematical model for gears cut by CNC hobbing machines
(1997-03-01)
Chang, SL
;
Tsay, CB
;
Nagata, S
;
機械工程學系
;
Department of Mechanical Engineering
A hobbing machine's cutting mechanism is a mechanism with multi-degree of freedom during the cutting process. In this paper, we propose a general gear mathematical model simulating the generation process of a 6-axis CNC hobbing machine based on the cutting mechanism of CNC hobbing machine and worm-type hob cutter. The proposed gear mathematical model can be applied to simulate different types of gear cutting. Some examples are included to verify the mathematical model. Also, a novel type of gear named ''Helipoid'' which can be used in crossed axes transmission is proposed. The proposed general gear mathematical model can facilitate a more thorough understanding of generation processes and toward the development of novel types of gears.
Mathematical model and surface deviation of helipoid gears cut by shaper cutters
(2003-06-01)
Wu, JL
;
Liu, CC
;
Tsay, CB
;
Nagata, S
;
機械工程學系
Crossed-axis helical gears and hypoid gears are two conventional crossed-axis power transmission devices. Helipoid gears, a novel gear proposed herein, possess the merits of the crossed-axis helical and hypoid gears. A mathematical model of the proposed helipoid gear cut by shapers is also derived according to the cutting mechanism and the theory of gearing. The investigation shows that the tooth surface varies with the number of teeth of the shaper Computer graphs of the helipoid gear are presented according to the developed gear mathematical model, and the tooth surface deviations due to the number of teeth of the shaper are also investigated.