Lie Algebra Contributions to Instantaneous Plane Kinematics

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.

Keywords:

Geometric kinematics, instantaneous invariants Lie algebra, time independent planar motion.,

Tam Metin

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[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.

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Bibtex	@araştırma makalesi { ikjm1230895, journal = {Ikonion Journal of Mathematics}, issn = {2687-6531}, address = {}, publisher = {Nihat AKGÜNEŞ}, year = {2023}, volume = {5}, number = {1}, pages = {62 - 67}, doi = {10.54286/ikjm.1230895}, title = {Lie Algebra Contributions to Instantaneous Plane Kinematics}, key = {cite}, author = {Karakılıç, İlhan and Bayrıl Aykut, Derya} }
APA	Karakılıç, İ. & Bayrıl Aykut, D. (2023). Lie Algebra Contributions to Instantaneous Plane Kinematics . Ikonion Journal of Mathematics , 5 (1) , 62-67 . DOI: 10.54286/ikjm.1230895
MLA	Karakılıç, İ. , Bayrıl Aykut, D. "Lie Algebra Contributions to Instantaneous Plane Kinematics" . Ikonion Journal of Mathematics 5 (2023 ): 62-67 <
Chicago	Karakılıç, İ. , Bayrıl Aykut, D. "Lie Algebra Contributions to Instantaneous Plane Kinematics". Ikonion Journal of Mathematics 5 (2023 ): 62-67
RIS	TY - JOUR T1 - Lie Algebra Contributions to Instantaneous Plane Kinematics AU - İlhanKarakılıç, DeryaBayrıl Aykut Y1 - 2023 PY - 2023 N1 - doi: 10.54286/ikjm.1230895 DO - 10.54286/ikjm.1230895 T2 - Ikonion Journal of Mathematics JF - Journal JO - JOR SP - 62 EP - 67 VL - 5 IS - 1 SN - 2687-6531- M3 - doi: 10.54286/ikjm.1230895 UR - Y2 - 2023 ER -
EndNote	%0 Ikonion Journal of Mathematics Lie Algebra Contributions to Instantaneous Plane Kinematics %A İlhan Karakılıç , Derya Bayrıl Aykut %T Lie Algebra Contributions to Instantaneous Plane Kinematics %D 2023 %J Ikonion Journal of Mathematics %P 2687-6531- %V 5 %N 1 %R doi: 10.54286/ikjm.1230895 %U 10.54286/ikjm.1230895
ISNAD	Karakılıç, İlhan , Bayrıl Aykut, Derya . "Lie Algebra Contributions to Instantaneous Plane Kinematics". Ikonion Journal of Mathematics 5 / 1 (Ağustos 2023): 62-67 .
AMA	Karakılıç İ. , Bayrıl Aykut D. Lie Algebra Contributions to Instantaneous Plane Kinematics. ikjm. 2023; 5(1): 62-67.
Vancouver	Karakılıç İ. , Bayrıl Aykut D. Lie Algebra Contributions to Instantaneous Plane Kinematics. Ikonion Journal of Mathematics. 2023; 5(1): 62-67.
IEEE	İ. Karakılıç ve D. Bayrıl Aykut , "Lie Algebra Contributions to Instantaneous Plane Kinematics", , c. 5, sayı. 1, ss. 62-67, Ağu. 2023, doi:10.54286/ikjm.1230895

ISSN: 2687-6531
Yayın Aralığı: Yılda Yılda 2 Sayı
Yayıncı: Nihat AKGÜNEŞ

3.4b8

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