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Formulas for computing axode normal and curvatures with derivation based on fundamental concepts of engineering differential geometry

✍ Scribed by Chih-Hsin Chen


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
211 KB
Volume
40
Category
Article
ISSN
0094-114X

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✦ Synopsis


The formulas for computing surface normal and surface curvatures/GAVs of axodes are derived. 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. The existence of curve of striction on axode is explained. An exemplar of computation for verification of the formulas is cited.