Öz
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.
Anahtar Kelimeler
Homothetic Motion Hamilton Operator Generalized Quaternion Pole Point Kinematic
Kaynakça
- 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.
Öz
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
Anahtar Kelimeler
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 15 Ekim 2015 |
| Yayımlandığı Sayı | Yıl 2015 Cilt: 10 Sayı: 4 |