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Formulas for computing axode normal and curvatures with derivation based on fundamental concepts of engineering differential geometry. (English) Zbl 1113.70007
Summary: We derive formulas for computing surface normal and surface curvatures/GAVs of axodes. The surface normal of axodes involves second-order time derivatives of the relevant conjugate motion, instead of only first-order. The surface curvatures of axodes involve third-order time derivatives, instead of only first- and second-order. The existence of curve of striction on axode is explained, and an exemplar of computation for verification of the formulas is cited.

MSC:
70B15 Kinematics of mechanisms and robots
53Z05 Applications of differential geometry to physics
Software:
GAVS
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