| Summary: | 碩士 === 國立交通大學 === 機械工程研究所 === 86 ===
Hypoid gears and crossed-axes helical gears are widely used in crossed-axes power transmissions. Hypoid gears have larger contact ratio and load capability, however, gears must be generated with special machines and experienced enginced engineerss. Therefore, the manufacture cost of hypoid gears is high. Compared with hypoid gears, crossed-axes helical gears have lower manufacture cost, while contact ratio and load capability are smaller. To improve the above-mentioned disadvantages, Japan Industrial University honor professor Nagata proposed an new type of crossed-axes gearing, named Helipoid gear. This novel gear is generated by CNC machines with multi-degree of freedom. Helipoid gears are improved from crossed-axes helical gears, and the manufacture cost is cheaper than that of the gypid gear and the load capability is larger than that of the crossed-axes helical gears.
In this paper, the tooth mathematical model of Helipoid gears is developed based on the imaginary rack-cutter generation method.According to the mathematical model, kinematic errors of the helipoid gear set is investigated. The gear set contact pattern is simulated by applying the contact surface topology method whice assumes that the gear set is a rigisd body motion. In order to verify the correctness of the analysis model, the finite element method is also applied to investigate the tooth contact pattern under loads, and the corresponding stress and strain distributions on the gear contact surface are also investigated.
Tooth mathematical model, kinematic error and tooth contact pattern of the helipoid gear are investigated in this paper. Based on the results of the above-mentioned analyses, optimization analysis is also studied. The kinematic error of helipoid gear set is reduced to an acceptable level and load capability is still kept.
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