On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces

Yucesan, A; Coken, ABDİLKADİR; Ayyildiz, N; Manning, GS

doi:10.1016/s0096-3003(03)00782-3

On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces

Yucesan A., Coken A., Ayyildiz N., Manning G.

APPLIED MATHEMATICS AND COMPUTATION, cilt.155, sa.2, ss.353-372, 2004 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 155 Sayı: 2
Basım Tarihi: 2004
Doi Numarası: 10.1016/s0096-3003(03)00782-3
Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.353-372
Anahtar Kelimeler: relaxed elastic line, pseudo-Euclidean spaces, intrinsic equation, geodesics, Euler-Lagrange equations, SURFACE
Akdeniz Üniversitesi Adresli: Hayır

Özet

In this work, we studied some elasticity problems for a curve on pseudo-hypersurfaces in pseudo-Euclidean spaces E-v(n). We obtained intrinsic equations for an elasticity line depending on boundary conditions and researched if an elastic line is on a geodesic. We derived the Euler-Lagrange equations for an elastic line which is lying on a pseudohypersurface. (C) 2003 Elsevier Inc. All rights reserved.