Abstract
In this paper derivative formulas have been obtained for the one
parameter elliptical homothetic planar motion. Then, absolute, relative and
sliding velocities of this motion and a theorem which states the relationship
among these velocities have been given. Also, pole points and the canonical
relative system have been introduced for the one-parameter elliptical
homothetic motion. Finally, some important results
have been found in the case of a1,a2 and the homothetic
scale being 1
References
- Azak, A.Z. 2018. One-Parameter Elliptical Planar Motion. IECMSA-2018 Conference, Kyiv, Ukraine, 290-291.
- Blaschke, W., Müller, H.R. 1956. Ebene Kinematik. Verlag Oldenbourg, München.
- Güngör, M.A., Ersoy, S., Tosun M. 2009. Euler-Savary formula for the planar homothetic motions. Scientia Magna, 5(4), 18-25.
- Kuruoğlu, N., Tutar, A., Düldül, M. 2001. On the 1-parameter Homothetic Motions on the Complex Plane. International Journal of Applied Mathematics, 6(4), 439-447.
- Masal M., Tosun, M., Pirdal, A.Z. 2010. Euler savary formula for the one parameter motions in the complex plane C,. International Journal of Physical Sciences, 5(01), 6-10.
- Masal, M., Ersoy, S., Güngör, M.A. 2014. Euler-Savary Formula for the Homothetic Motion in the Complex Plane . Ain Shams Engineering Journal, 5(1), 305–308.
- Müller H.R. 1963. Kinematik. Sammlung Göschen, Walter de Gruyter, Berlin.
- Olcaylar, İ. 1956. Homotetik Düzlemsel Hareketler Üzerine. Doktora Tezi, Ankara Üniversitesi, Fen Fakültesi, Ankara.
- Özdemir, M. 2016. An Alternative Approach to Elliptical Motion. Advances in Applied Clifford Algebras, 26(1), 279–304.
- Tutar, A., Kuruoğlu, N., Düldül, M. 2001. On the Moving Coordinate System on the Complex Plane and Pole Points. Bulletin of Pure & Applied Sciences, 20E(1), 1-6.
Abstract
Bu
makalede bir parametreli eliptik homotetik düzlemsel hareket için türev
formülleri elde edildi. Daha sonra bu hareketin mutlak, izafe, sürüklenme hız
vektörleri ve bu vektörler arasındaki ilişkiyi ifade eden teorem verildi.
Ayrıca bir parametreli eliptik homotetik hareket için pol noktaları ve kanonik
izafe sistem tanımlandı. Son olarakta a1,a2 ve homotetik sabitin 1
olması durumlarında bazı önemli sonuçlar bulundu.
References
- Azak, A.Z. 2018. One-Parameter Elliptical Planar Motion. IECMSA-2018 Conference, Kyiv, Ukraine, 290-291.
- Blaschke, W., Müller, H.R. 1956. Ebene Kinematik. Verlag Oldenbourg, München.
- Güngör, M.A., Ersoy, S., Tosun M. 2009. Euler-Savary formula for the planar homothetic motions. Scientia Magna, 5(4), 18-25.
- Kuruoğlu, N., Tutar, A., Düldül, M. 2001. On the 1-parameter Homothetic Motions on the Complex Plane. International Journal of Applied Mathematics, 6(4), 439-447.
- Masal M., Tosun, M., Pirdal, A.Z. 2010. Euler savary formula for the one parameter motions in the complex plane C,. International Journal of Physical Sciences, 5(01), 6-10.
- Masal, M., Ersoy, S., Güngör, M.A. 2014. Euler-Savary Formula for the Homothetic Motion in the Complex Plane . Ain Shams Engineering Journal, 5(1), 305–308.
- Müller H.R. 1963. Kinematik. Sammlung Göschen, Walter de Gruyter, Berlin.
- Olcaylar, İ. 1956. Homotetik Düzlemsel Hareketler Üzerine. Doktora Tezi, Ankara Üniversitesi, Fen Fakültesi, Ankara.
- Özdemir, M. 2016. An Alternative Approach to Elliptical Motion. Advances in Applied Clifford Algebras, 26(1), 279–304.
- Tutar, A., Kuruoğlu, N., Düldül, M. 2001. On the Moving Coordinate System on the Complex Plane and Pole Points. Bulletin of Pure & Applied Sciences, 20E(1), 1-6.
Details
| Primary Language | Turkish |
|---|---|
| Subjects | Engineering |
| Journal Section | Makaleler |
| Authors | |
| Publication Date | August 31, 2019 |
| Published in Issue | Year 2019 Volume: 12 Issue: 2 |