Lie Algebra Contributions to Instantaneous Plane Kinematics

KARAKILIÇ İ., BAYRIL AYKUT D.

Ikonion Journal of Mathematics, cilt.5, sa.1, ss.62-67, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.54286/ikjm.1230895
  • Dergi Adı: Ikonion Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.62-67
  • Anahtar Kelimeler: Geometric Kinematics, Instantaneous Invariants, Lie Algebra, Time Independent Planar Motion
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

To investigate the instantaneous properties of a planar motion, Roth and Bottema [1] obtain the instantaneous invariants of a planar motion using Veldkamp’s canonical frame [7]. We investigate the derivatives of time-independent planar motions with respect to the fixed frame up to thrid order and their instantaneous invariants are obtained by using the Lie algebra to the planar motion group near identity element.