Mathematical model of spiral bevel and hypoid gears manufactured by the modified roll method

Vibration Analysis of Hypoid Transmissions Applying an Exact Geometry-Based Gear Mesh Theory

“…, (8,9) where is the instantaneous roll angle of the gear member. It should be noted that "n D """n D ""1.…”

Manufacture of Optimized Face-Hobbed Spiral Bevel Gears on Computer Numerical Control Hypoid Generator

“…Based on machine tool settings of a Gleason modified roll hypoid grinder, Lin and Tsay [6] developed a mathematical model for defining the tooth geometry of spiral bevel and hypoid gears. Chang et al [7] proposed a general model to simulate the generation process of a 6-axis CNC hobbing machine.…”

The study on the design of spiral bevel gear sets with circular-arc contact paths and tooth profiles

“…In line with the previous work, Zhang et al [11] and Litvin et al [12,13] proposed to modify the tooth profile of spiral bevel gears in consideration of developing the low-noise spiral bevel gears with stable local bearing contact. For simplicity, Lin et al [14][15][16] proposed a mathematical model of an ideal spiral bevel and hypoid gear-tooth surfaces based on the Gleason hypoid gear generator mechanism. More then over, Falah et al [17] performed the experimental and numerical investigation in spiral bevel gears for both the meshing cycle and contact ratio.…”