CAD/CAM of Sculptured Surfaces on a Multi-axis NC Machine: The DG/K-based Approach
Many products are designed with aesthetic sculptured surfaces to enhance their appearance, an important factor in customer satisfaction, especially for automotive and consumer electronics products. In other cases, products have sculptured surfaces to meet functional requirements. Functional surfaces interact with the environment or with other surfaces. Because of this, functional surfaces can also be called dynamic surfaces. Functional surfaces do not possess the property to slide over itself, which causes significant complexity in machining of sculptured surfaces. The application of multiaxis numerically controlled (NC) machines is the only way for an efficient machining of sculptured surfaces. Reduction of machining time is a critical issue when machining sculptured surfaces on multiaxis NC machines. To reduce the machining cost of a sculptured surface, the machining time must be as short as possible.Table of Contents: Introduction / Analytical Representation of Scupltured Surfaces / Kinematics of Sculptured-Surface Machining / Analytical Description of the Geometry of Contact of the Sculptured Surface and of the Generating Surface of the Form-Cutting Tool / Form-Cutting Tools of Optimal Design / Conditions of Proper Sculptured-Surface Generation / Predicted Accuracy of the Machined Sculptured Surface / Optimal Sculptured-Surface Machining
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analytical description analytical representation angle axis canal surfaces Cartesian coordinate system Cnf R P/T CnfR(P/T common perpendicular computation condition of proper configuration conformity Cnf conformity of surfaces contact of surfaces coordinate system transformation cutting tool relative deviation h differential vicinity dUP dVP Dupin’s indicatrix elementary deviation EPGP equation of contact feed-rate form-cutting tool function fundamental magnitudes h ss indicatrix of conformity kinematics machined part surface machined sculptured surface machining operation milling cutter multiaxis NC machine normal curvature orientation motion position vector principal directions productivity of surface proper PSG radii of curvature radius of curvature radius of normal Radzevich rate of conformity relative orientation rotation RP.ss sculptured part surface sculptured-surface machining second fundamental form smooth regular surfaces surface on multiaxis surface Tof surfaces Pand system x Tof the cutting tool path tool with respect unit normal vector unit tangent vectors vectors t 1.P wwwv
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