The research on the cutting force of the spiral bevel gear machine tool is always the key problem in the research of the cutting process, and is also the basis of the research on the vibration tool wear and the optimization of the process parameters. At present, there are mainly three methods for modeling the cutting force of gear milling: first, according to the metal cutting theory, the cutting force is expressed as a function of the machining parameters such as the feed rate, the spindle speed and the back bite, but this method requires a lot of orthogonal experiments to determine the coefficients in front of the machining parameters; The second is the mechanical model, which discretizes the cutting edge along the axial direction, solves the discrete micro segment cutting edge, and calculates the cutting force on the tool by integrating the micro segment cutting edge; Thirdly, according to the simplified cutting force model, the cutting force is regarded as the product of cutting area and cutting force coefficient, which is determined by the tool material and gear blank material.
For the above models, Yang Y, Pradeep K B, Korkut I and other scholars abroad have respectively applied them. Andersson C established a cutting force model for multi tooth machining, and analyzed the influence between each parameter and the total cutting force. Jia Xinjie in China calibrated the milling force coefficient through orthogonal experiments, deduced the instantaneous cutting area, and established a cutting force model for machining spiral bevel gears by forming method. However, the milling force coefficient was calibrated through orthogonal experiments, and the application efficiency needs to be further improved. Wang Yong used the cutting in method to process the large spiral bevel gear wheel, and deduced the relationship model between gear blank, cutter and machine tool coordinate system. Shi Rui et al. calculated the shear stress in the shear zone according to the Johnson Cook constitutive equation of materials and the bevel cutting theory, and combined with the instantaneous cutting area to build the milling force model of the rough milling small wheel with the expansion method. Zheng FY et al. summarized the undeformed chip area in the process of generating spiral bevel gears, and proposed an efficient and accurate cutting force prediction model for face milling.