Mathematical Model and Tooth Contact Analysis of Helipoid Gears Cut by Helical Type Shaving Cutters

Autor: Shin-Hung Chen, 陳信宏
Rok vydání: 2004
Druh dokumentu: 學位論文 ; thesis
Popis: 92
Crossed-axis helical gears and hypoid gears are two common types of crossed-axis power transmission devices. Hypoid gears offer a high load capability and a high contact ratio, and are widely used for rear-axle transmission in automobiles. However, hypoid gears should be manufactured by special machines with various machine-tool settings due to complex tooth surface geometries. Accordingly, the manufacture of hypoid gear sets requires experienced and well-trained engineers. Therefore, the production and maintenance costs of a hypoid gear are relatively high. The manufacture of helical gears, however, requires only easily operated and conventional machines, and the production cost is relatively lower. However, the load capability and the contact ratio are also lower. A new type of gear, named the helipoid gear, is conceptually proposed by Nagata, eminent professor of Nippon Instittude of Technology, in an attempt to achieve a better balance between gear performance and manufacturing cost than that of hypoid and crossed-axis helical gears. Helipoid gears are designed to exhibit the advantages of both hypoid and helical gears ─ higher load capability and contact ratio than those of a helical gear, and a lower manufacturing cost than that of a hypoid gear. In this research, a mathematical model for the helipoid gears cut by the helical type shaving cutters is developed based on the theory of gearing and the technique of computer aided design. According to this mathematical model and the tooth contact analysis technique, transmission errors of the helipoid gear set are investigated. Besides, the relationships among the tooth numbers and the helical angles of the helical type shaving cutter, the tooth surface deviations and tooth contact conditions are also investigated.
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