| 摘要(英) |
Spiral bevel gears are mechanical components used for transmitting rotational motion and torque. Due to the inclined tooth surfaces of these gears, they allow for power transmission between non-parallel axes, and they can withstand high loads while providing smoother contact compared to other gears. Therefore, they exhibit high transmission performance and low noise levels. However, spiral bevel gears, especially spiral bevel gears with a large tooth-to-tooth ratio, are prone to manufacturing errors due to their unique shape and meshing method. Even minor errors in manufacturing can have serious consequences, leading to decreased transmission efficiency due to poor contact conditions during operation. Typically, when poor tooth surface contact is detected, corrective shaping processes are applied to the tooth surface. However, it is crucial to understand the current tooth surface contact state before determining the method and amount of shaping. This study utilizes reverse engineering methods to process point data of spiral bevel gear tooth surfaces and construct mathematical models of the tooth surfaces through surface fitting techniques. After assembling the gears into their operational positions, the correct meshing angles between tooth surfaces are determined using the minimal rotation angle method combined with a self-designed interference checking model. This process allows for the determination of contact lines and transmission errors of the gear assembly. By incorporating the meshing angles into the gear assembly′s motion positions, the range of tooth imprints is calculated using deformation quaternion methods and commonly used red dan particle sizes. This establishes mathematical models of tooth surface contact. Finally, simulation software KISSsoft is employed to establish approximate models of real tooth surfaces and conduct contact analyses. The performance state of the spiral bevel gear assembly′s tooth surface contact is discussed based on the mathematical models of tooth surface contact and the results of KISSsoft′s contact analysis. Furthermore, corrective shaping processes are proposed to improve the tooth surface contact performance. |
| 參考文獻 |
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