Journal of Mechanical Design · 1997 · 96 citations · 9 references
EngineeringGeometryTool Path CurvatureMechanical EngineeringModeling ToolComputer-aided DesignNc Tool PathsGeometric Constraint SolvingMachine ToolCombinatorial OptimizationComputational GeometryGeometric ModelingComputer EngineeringComplex Die SurfacesComputer-aided ManufacturingIndustrial DesignGeometric AlgorithmProgram AnalysisNatural SciencesMaterial MachiningMilling Cutter
Numerically controlled milling is the primary method for generating complex die surfaces. These complex surfaces are generated by a milling cutter which removes material as it traces out pre-specified tool paths. The accuracy of tool paths directly affects the accuracy of the manufactured surface. The geometry and spacing of the tool paths impact the scallop height and time of manufacturing respectively. In this paper we propose a new method for generating NC tool paths. This method gives the part programmer direct control over the scallop height of the manufactured surface. The method also provides options to the part programmer for generating a variety of tool paths based on practical metrics such as tool path length, tool path curvature and number of tool retractions.
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Lectures on Classical Differential Geometry.
Claude Springer, D. J. Struik · American Mathematical Monthly · 1952 · 1.4K citations
NC machining of free form surfaces
Gregory C Loney, Tulga M. Ozsoy · Computer-Aided Design · 1987 · 273 citations