A SPATIAL MOTION FOR A DUAL CLOSED STRIP

YAPAR Z.

MECHANISM AND MACHINE THEORY, vol.29, no.7, pp.1033-1042, 1994 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 7
  • Publication Date: 1994
  • Doi Number: 10.1016/0094-114x(94)90070-1
  • Journal Name: MECHANISM AND MACHINE THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1033-1042
  • Karadeniz Technical University Affiliated: No

Abstract

In this paper, a dual closed strip {X(s) = X(S) + epsilon v(S) AND x(s), N(S) = n(S) + epsilon v(S) AND n(s)} with a real parameter s, a frame {A(s), G(s), N(s)} which moves along the curve of this dual closed strip and a line D which is fixed in this frame are considered and dual integral invariants (dual angles of pitch) and parameters of the closed ruled surfaces which correspond to the dual closed curves drawn by the vectors A, G, N and D are studied, and it is found some relations among the integral invariants of the closed ruled surfaces which corresponds to the dual closed curves drawn by the vectors A, G, N and D. In addition, these results are carried out to the line-space IR3 and are given some theorems by means of study map, and new expressions of the dual geodesic curvature K(g), dual normal curvature K(n) and dual geodesic torsion T(g) of the strip are given.