Two cylinders contact problem and plan contact problem were analyzed

and feature of convergence was discussed.Some numerical calculations of an arc tooth tenon joint with three teeth were done.Then

the contact stress with ANSYS was analyzed

and the results of trapezoid tooth and arc tooth tenon joint were compared to find that the latter decreased the contact stress

the third principle stress and von Mises stress.Based on this

some optimizations about the arc tooth tenon joint were done

and the stress was decreased again by optimization.