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Dergiler / Ikonion Journal of Mathematics / 2023 / Cilt: 5 Sayı: 1

Lie Algebra Contributions to Instantaneous Plane Kinematics

İlhan KARAKILIÇ
Derya BAYRIL AYKUT
Sayfa
62–67
Yayın Tarihi
2023-08-22
DOI
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We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963).
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Temel Bulgular & Veri:Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963).
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Sonuç & Katkı:We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Geometric kinematics · instantaneous invariants · Lie algebra

Abstract

Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963). We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.

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Bu Makaleye Atıf Yap

KARAKILIÇ, İ., AYKUT, D. B. (2023). Lie Algebra Contributions to Instantaneous Plane Kinematics. Ikonion Journal of Mathematics, Cilt: 5 Sayı: 1, 62–67. https://ajindex.com/articles/959504

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Kaynakça (7)

  1. Bottema, O. and Roth, B. (1990) Theoretical kinematics. Dover Publications
  2. Hausdorff, F. (1906). Die symbolische Exponentialformel in der Gruppentheorie. Ber. Verh. Kgl. SËA chs. Ges.Wiss. Leipzig., Math.-phys. Kl., 58, 19-48
  3. McCarthy, J. M., Soh, G. S. (2010) Geometric design of linkages (Vol. 11). Springer Science and Business Media
  4. Selig, J. M. (2005) Geometric fundamentals of robotics (Vol. 128). New York: Springer
  5. Selig, J. M. (2007) Cayley maps for SE (3). In 12th International Federation for the Promotion of Mechanism and Machine Science World Congress (p. 6). London South Bank University
  6. Selig, J. M. (2007) Centrodes and Lie algebra. In 2th IFT oMM World Congress (p. 6). London South Bank University
  7. Veldkamp, G. R. (1963) Curvature theory in plane kinematics. JB Wolters.