Kinematic Differential Geometry and Saddle Synthesis of Linkages

KINEMATIC DIFFERENTIAL GEOMETRY AND SADDLE SYNTHESIS OF LINKAGES With a pioneering methodology, this book covers the fundamental aspects of kinematic analysis and synthesis of linkages, and provides a theoretical foundation for engineers and researchers in mechanism design. The authors present, for the first time, both the kinematic geometry in differential geometry from planar motion to spherical and spatial motion, and the saddle kinematic synthesis of planar and spatial linkages by the best uniform approximation. The first book to propose the generalized curvature corresponding to binary links, and set up the unified curvature theory in kinematics based on centrodes (axodes). Describes the global geometrical properties of loci in discrete kinematics by the invariants of the constraint curves and ruled surfaces of binary links. Well-structured format with chapters progressing logically from planar to spherical and spatial motion. Presents a pioneering methodology by recognized experts in the field, updated with the latest research findings. Fundamental theory and application examples are supplied. Fully illustrated throughout. Kinematic Differential Geometry and Saddle Synthesis of Linkages is a ground-breaking and significant addition to the field of mechanism design. It is intended for graduate students, researchers, and design engineers in mechanical, aerospace, and automotive engineering.