Araştırma Makalesi

The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces

Cilt: 16 Sayı: 2 24 Haziran 2020
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The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces

Öz

The aim of the present study is to investigate the forward kinematics of spin-rolling contact motion of one timelike surface on another timelike surface along their timelike trajectory curves in Lorentzian 3-space. This study does not take sliding motion into consideration but applies a new Darboux frame method to establish the kinematics of spin-rolling motion.

Anahtar Kelimeler

Kaynakça

  1. [1]. Agrachev, AA, Sachkov, YL. An intrinsic approach to the control of rolling bodies, in Proc. 38th IEEE Conf. Decis. Control, Phoenix, AZ, USA; 1999, pp 431–435.
  2. [2]. Birman, GS, Nomizu, K. 1984. Trigonometry in Lorentzian Geometry, Ann. Math. Month., 91(9): 543-549.
  3. [3]. Bottema, O, Roth, B. Theoretical Kinematics; North-Holland Publ. Co.: Amsterdam, 1979; pp 556.
  4. [4]. Cai, C, Roth, B. On the spatial motion of rigid bodies with point contact, in Proc. IEEE Conf. Robot. Autom.; 1987, pp 686–695.
  5. [5]. Cai, C, Roth, B. 1986. On the planar motion of rigid bodies with point contact, Mech. Mach. Theory, 21: 453–466.
  6. [6]. Chelouah, A, Chitour, Y. 2003. On the motion planning of rolling surfaces, Forum Math., 15(5): 727–758.
  7. [7]. Chitour, Y, Marigo, A, Piccoli, B. 2005. Quantization of the rolling-body problem with applications to motion planning, Syst. Control Lett., 54(10): 999–1013.
  8. [8]. Cui, L, Dai, JS. 2010. A Darboux-Frame-Based Formulation of Spin-Rolling Motion of Rigid Objects With Point Contact, IEEE Trans. Rob., 26(2): 383–388.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

24 Haziran 2020

Gönderilme Tarihi

6 Eylül 2019

Kabul Tarihi

23 Haziran 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 16 Sayı: 2

Kaynak Göster

APA
Aydınalp, M., Kazaz, M., & Uğurlu, H. H. (2020). The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces. Celal Bayar University Journal of Science, 16(2), 215-224. https://doi.org/10.18466/cbayarfbe.616723
AMA
1.Aydınalp M, Kazaz M, Uğurlu HH. The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces. Celal Bayar University Journal of Science. 2020;16(2):215-224. doi:10.18466/cbayarfbe.616723
Chicago
Aydınalp, Mehmet, Mustafa Kazaz, ve Hasan Hüseyin Uğurlu. 2020. “The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces”. Celal Bayar University Journal of Science 16 (2): 215-24. https://doi.org/10.18466/cbayarfbe.616723.
EndNote
Aydınalp M, Kazaz M, Uğurlu HH (01 Haziran 2020) The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces. Celal Bayar University Journal of Science 16 2 215–224.
IEEE
[1]M. Aydınalp, M. Kazaz, ve H. H. Uğurlu, “The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces”, Celal Bayar University Journal of Science, c. 16, sy 2, ss. 215–224, Haz. 2020, doi: 10.18466/cbayarfbe.616723.
ISNAD
Aydınalp, Mehmet - Kazaz, Mustafa - Uğurlu, Hasan Hüseyin. “The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces”. Celal Bayar University Journal of Science 16/2 (01 Haziran 2020): 215-224. https://doi.org/10.18466/cbayarfbe.616723.
JAMA
1.Aydınalp M, Kazaz M, Uğurlu HH. The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces. Celal Bayar University Journal of Science. 2020;16:215–224.
MLA
Aydınalp, Mehmet, vd. “The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces”. Celal Bayar University Journal of Science, c. 16, sy 2, Haziran 2020, ss. 215-24, doi:10.18466/cbayarfbe.616723.
Vancouver
1.Mehmet Aydınalp, Mustafa Kazaz, Hasan Hüseyin Uğurlu. The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces. Celal Bayar University Journal of Science. 01 Haziran 2020;16(2):215-24. doi:10.18466/cbayarfbe.616723