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KINEMATICS ON THE GENERALIZED 3-SPACE

Year 2015, Volume: 10 Issue: 4, 55 - 63, 15.10.2015

Abstract

A motion in 3-dimensional generalized space defined by using a spatial curve, it is shown that, this motion is a homothetic motion. We investigate some properties of this motion and show that it has only one pole point at every instant  t.

References

  • Bottema, O. and Roth, B., (1979). Theorical Kinematics, Oxford, New York.
  • Hacisalihoglu, H.H., (1971). On The Rolling of One Curve or Surface Upon Another, Mathematical Proceedings of The Royal Irish Academy, 71A2, 13-17.
  • Jafari, M., (2014). On the Properties of Quasi-Quaternion Algebra, Commun. Fac. Sci. Univ. Ank. Series1, Vol:63(1), 1-10.
  • Jafari M. and Yayli Y., (2013). Rotation in Four Dimensions Via Generalized Hamilton Operators, Kuwait Journal of Science, Vol:40(1), 67-79.
  • Jafari, M., (2014). Homothetic Motions in Euclidean 3-Space, Kuwait Journal of Science, Vol:41(1), 65-73.
  • Kinematics , http://en.wikipedia.org/wiki/Kinematics.
  • Mortazaasl, H. and Jafari M., (2013). A Study on Semi-Quaternions Algebra in Semi-Euclidean 4-Space, Mathematical Science and Application E-Notes, Vol:1(2), 20-27.
  • Tosun, M., Kucuk, A., and Gungor, M.A., (2006). The Homothetic Motions in the Lorentz 3-Space, Acta Mathematica Science, 26B(4) 711-719.
  • Yaylı, Y., (1992). Homothetic Motions at Mechanism and Machine Theory, 27(3), 303-305.

GENELLEŞTİRİLMİŞ ÜÇ BOYUTLU UZAYIN KİNEMATİĞİ

Year 2015, Volume: 10 Issue: 4, 55 - 63, 15.10.2015

Abstract

Genelleştirilmiş bir üç boyutlu uzayda, hareket uzay eğrisi ile tanımlanan harekete homototik hareket denir. Bu çalışmada, homototik hareketin bazı özellikleri incelenmiş ve bir pole noktasına sahip olduğu yapılan çalışmada görülmüştür

References

  • Bottema, O. and Roth, B., (1979). Theorical Kinematics, Oxford, New York.
  • Hacisalihoglu, H.H., (1971). On The Rolling of One Curve or Surface Upon Another, Mathematical Proceedings of The Royal Irish Academy, 71A2, 13-17.
  • Jafari, M., (2014). On the Properties of Quasi-Quaternion Algebra, Commun. Fac. Sci. Univ. Ank. Series1, Vol:63(1), 1-10.
  • Jafari M. and Yayli Y., (2013). Rotation in Four Dimensions Via Generalized Hamilton Operators, Kuwait Journal of Science, Vol:40(1), 67-79.
  • Jafari, M., (2014). Homothetic Motions in Euclidean 3-Space, Kuwait Journal of Science, Vol:41(1), 65-73.
  • Kinematics , http://en.wikipedia.org/wiki/Kinematics.
  • Mortazaasl, H. and Jafari M., (2013). A Study on Semi-Quaternions Algebra in Semi-Euclidean 4-Space, Mathematical Science and Application E-Notes, Vol:1(2), 20-27.
  • Tosun, M., Kucuk, A., and Gungor, M.A., (2006). The Homothetic Motions in the Lorentz 3-Space, Acta Mathematica Science, 26B(4) 711-719.
  • Yaylı, Y., (1992). Homothetic Motions at Mechanism and Machine Theory, 27(3), 303-305.
There are 9 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Mehdi Jafarı

Publication Date October 15, 2015
Published in Issue Year 2015 Volume: 10 Issue: 4

Cite

APA Jafarı, M. (2015). KINEMATICS ON THE GENERALIZED 3-SPACE. Physical Sciences, 10(4), 55-63. https://doi.org/10.12739/NWSA.2015.10.4.3A0074
AMA Jafarı M. KINEMATICS ON THE GENERALIZED 3-SPACE. Physical Sciences. October 2015;10(4):55-63. doi:10.12739/NWSA.2015.10.4.3A0074
Chicago Jafarı, Mehdi. “KINEMATICS ON THE GENERALIZED 3-SPACE”. Physical Sciences 10, no. 4 (October 2015): 55-63. https://doi.org/10.12739/NWSA.2015.10.4.3A0074.
EndNote Jafarı M (October 1, 2015) KINEMATICS ON THE GENERALIZED 3-SPACE. Physical Sciences 10 4 55–63.
IEEE M. Jafarı, “KINEMATICS ON THE GENERALIZED 3-SPACE”, Physical Sciences, vol. 10, no. 4, pp. 55–63, 2015, doi: 10.12739/NWSA.2015.10.4.3A0074.
ISNAD Jafarı, Mehdi. “KINEMATICS ON THE GENERALIZED 3-SPACE”. Physical Sciences 10/4 (October 2015), 55-63. https://doi.org/10.12739/NWSA.2015.10.4.3A0074.
JAMA Jafarı M. KINEMATICS ON THE GENERALIZED 3-SPACE. Physical Sciences. 2015;10:55–63.
MLA Jafarı, Mehdi. “KINEMATICS ON THE GENERALIZED 3-SPACE”. Physical Sciences, vol. 10, no. 4, 2015, pp. 55-63, doi:10.12739/NWSA.2015.10.4.3A0074.
Vancouver Jafarı M. KINEMATICS ON THE GENERALIZED 3-SPACE. Physical Sciences. 2015;10(4):55-63.