The Comparison Between the Theoretical Section Line and the Actual Section Line of the Vane Wheel by the 5-Axis NC Machining
An accurate method to calculate the section line of the complicated surface after numerical controlled machining is presented in this paper. The method to calculate the tooth surface of the conjugate gearing is applied into the field of sculptured surface machining. It is the most precise method to determine the remaining scopes on the surface. The calculated remaining scopes are exact the same as that in practical cutting. The concept of contact is applied into the machining of the complex surface. If the contact line along the straight line of cutter, the contact line should along the asymptotic direction of the surface being machined. For the undeveloped ruled surface, the directions of the normal vectors are different, while the directions of the normal vectors on the straight line of cylinder are the same, so that there may be some over cutting on the surface. With the theory of this paper, the best cutter postural can be determined when the contact line not along the straight line of the cutter. And further more, with the concept of third order contact, both the best cutter postural and contact direction can be determined at same time.