Generalized Reference Coordinates for Spatial Gearing—the Cylindroidal Coordinates
David B. Dooner
Abstract
David B. Dooner
Abstract
This chapter contains sections titled: Introduction Cylindroidal Coordinates Homogeneous Coordinates Screw Operators The Generalized Equivalence of the Pitch Point—the Screw Axis The Generalized Pitch Surface—Axodes The Generalized Transverse Surface The Generalized Axial Surface Summary
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This chapter contains sections titled: Introduction Cylindroidal Coordinates Homogeneous Coordinates Screw Operators The Generalized Equivalence of the Pitch Point—the Screw Axis The Generalized Pitch Surface—Axodes The Generalized Transverse Surface The Generalized Axial Surface Summary
Key concepts: Log-polar coordinates, Action-angle coordinates, Bipolar coordinates, Generalized coordinates, Orthogonal coordinates, Parabolic coordinates, Homogeneous coordinates, Surface (topology)