Variable hyperbolic arc tooth profile cylindrical gear (vh-catt) is a new type of gear which applies arc tooth profile to gear tooth profile. Compared with the existing gear form, its bearing capacity is stronger and transmission performance is better, so it has a broad application prospect. Vh-catt is derived from curved bevel gear. At the beginning of the 20th century, because ordinary involute gears generally had the disadvantage of poor bearing capacity, verhard of the United States first proposed to develop the tooth profile into arc shape, and achieved great success in the development of curved bevel gears. Litvin and Gutman have deeply studied the forming theory and contact of the curved bevel gear. At home, with the continuous development of our society, the requirements of actual mechanical engineering for gears are also getting higher and higher. More and more scientific researchers have begun to pay attention to the promising research direction of spiral gears. For example, Professor Peng Fuhua of Jilin University has tried to improve the machining efficiency of spiral cylindrical gears by circular drawing method; Zeng Tao and other mathematicians have systematically studied the meshing theory of spiral bevel gears.
- The forming principle and machining process of cylindrical gear with variable hyperbolic arc tooth profile are analyzed, and the simulation of its machining process is completed by ABAQUS.
- According to the test data obtained by simulation, the cutting force prediction model is established. The reliability of the established cutting force prediction model is verified by means of establishing regression model, model fitting data and significance detection, which indicates that the cutting parameters can be reasonably selected by using the model when machining gears.
- Based on whale algorithm, the optimization problem of machining and cutting parameters of vh-catt is studied. A function optimization model aiming at machining efficiency and small cutting force is established, and it is transformed into a single objective function optimization model through weighted summation and normalization. The optimized cutting parameters are obtained as spindle speed n = 189.3 R / min, feed rate per tooth FZ = 0.046 mm, and cutting depth AP = 1.89 mm.
Vh-catt is difficult to be formed by ordinary CNC machine tools due to its complex forming, so it needs to be processed by high-end CNC machine tools. However, the vh-catt processed in this way is an approximate process, which has the disadvantages of processing principle error, high cost and difficult industrialization. Therefore, in order to realize the large-scale industrialization of vh-catt, the development of its special CNC machine tool is particularly important. Since there is no special processing machine tool, its processing and adjustment are more complicated. If the parameters in vh-catt cutting process are not set reasonably, it is not easy to obtain ideal machining efficiency and quality. Therefore, the machining principle of vh-catt is analyzed, the cutting simulation of vh-catt is carried out and the cutting parameters are optimized by whale algorithm.