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This book presents approaches for optimal machining of part surfaces on machine tools, especially of sculptured part surfaces on a multi-axis numerical control (NC) machine. The approach is based on fundamental results of the research obtained in two main areas: in differential geometry (DG) of surfaces, and in kinematics (K) of rigid body in three-dimensional Euclidian space E3. Commonly referred to as DG/K-based method of part surface generation, this method is an extremely powerful tool for solving a plurality of problems in mechanical/manufacturing engineering.
Presents the DG/K-based method of surface generation, a novel and practical mathematical method for designing gear cutting tools with optimal parameters. This book proposes a scientific classification for the various kinds of the gear machining meshes, discussing optimal designs of gear cutting tools.
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