Elastic Strips with Spacelike Directrix

ÖZKAN TÜKEL G., YÜCESAN A.

Bulletin of the Malaysian Mathematical Sciences Society, cilt.42, sa.5, ss.2623-2638, 2019 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40840-018-0622-0
  • Dergi Adı: Bulletin of the Malaysian Mathematical Sciences Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2623-2638
  • Anahtar Kelimeler: Conservation laws, Elastic strips, Variational calculus
  • Isparta Uygulamalı Bilimler Üniversitesi Adresli: Evet

Özet

The elasticity of a rectifying strip with a spacelike directrix (base curve) is studied using the differential geometry of developable surfaces and variational techniques. Two conservation laws are derived in Minkowski 3-space R13 by constructing two different variations including only Lorentz translations or rotations. By means of these laws two new types of elastic strips are defined: momentum strips and force-free strips. There exists a connection between elastic curves on de Sitter 2-space and pseudohyperbolic space and elastic strips with spacelike directrix.