| dc.description.abstract | The modelling of spiral bevel gears is more complex than the modelling of cylindrical gears due to the unique shape and engagement type. Except using mold forging and casting methods, dedicated machines are commonly employed to enhance the production efficiency of spiral bevel gears in industry. Traditionally, the cutting of bevel gears relies on specialized machining equipment, typically featuring various complex structures, with a distinctive design incorporating a cradle type mechanism. Nowadays six-axis CNC machine tools provide high freedom, high efficiency and high precision, enabling the complete execution of cutting path for manufacturing spiral bevel gears, overcoming previous limitations imposed by mechanical structures.
Because of the complex shape and various calculation methods associated with spiral bevel gears, beginners often find it challenging to comprehend. Therefore, this study aims to develop a comprehensive mathematical model for the design and manufacturing of spiral bevel gears. In the research, is based on inverse kinematics to establish a mathematical model for face-milling of spiral bevel gears and applied to CNC cutting machines, starting from the coordinate system of universal gear cutting machines. However, due to the mysterious mechanical settings for cutting of Spiral gears, particularly the duplex helical cutting method, which is less revealed in the literature, this study, based on disclosed fundamental mechanical principles, research for a duplex helical cutting method to create a mathematical model for spiral bevel gears. Subsequently, the model is implemented on a vertical five-axis CNC machine, and the accuracy of the calculated tooth surface model is confirmed through validation. To promptly evaluate tooth contact outcomes for assessing tooth surface performance, the generated spiral bevel gear model is employed to create an approximate tooth surface model within the gear simulation software KISSsoft. Following this, simulations for tooth surface load contact are conducted. Furthermore, finite element tooth contact simulations are utilized to validate the accuracy of the contact simulation results obtained from KISSsoft. | en_US |