Study of Shape Optimization of Gear Fillet Curve Based on Ansys

The fillet curve of involute gears is the important factor which affects the root bending stress.The goal is to improve tooth bending stress by using rational quadratic Bezier curve to describe the hob tip curve and through direct optimization of the hob tip curve to optimize the fillet curve.With the maximum Von Mises stress in gear tooth fillet as the objective function,and the weight factor w1 as the design variables,first-order optimization method is used in ANSYS to research shape optimization of fillet curve,and the accuracy of the results is verified by 30° tangent method.The result shows the relationship between the weight factor w1 and tooth root bending stress obtains the tooth fillet curve with a higher strength and smooth hob tip curve with bending stress reduced by 12.2% when w1=0.12.