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Geometric interpretation of Curvature Circles in Minkowski Plane

Yıl 2019, Cilt: 2 Sayı: 3, 205 - 208, 30.12.2019

Öz

In this study, we investigate the geometric interpretation of the curvature circles of motion at the initial position in Minkowski plane. We consider the equations of the circling-point and centering-point curves of one-parameter motion in Minkowski plane and then determine the positions of these curves relative to each other.

Destekleyen Kurum

Sakarya University

Teşekkür

This research is partially supported by BAPK of Sakarya University project number 2019-8-28-186

Kaynakça

  • [1] O. Bottema, On instantaneous invariants, Proceedings of the International Conference for Teachers of Mechanisms, New Haven (CT): Yale University, 1961, 159–164.
  • [2] O. Bottema, On the determination of Burmester points for five distinct positions of a moving plane; and other topics, Advanced Science Seminar on Mechanisms, Yale University, July 6-August 3, 1963.
  • [3] O. Bottema, B. Roth, Theoretical Kinematics, New York (NY), Dover, 1990.
  • [4] B. Roth, On the advantages of instantaneous invariants and geometric kinematics, Mech. Mach. Theory, 89 (2015), 5–13.
  • [5] F. Freudenstein, Higher path-curvature analysis in plane kinematics, ASME J. Eng. Ind., 87 (1965), 184–190.
  • [6] F. Freudenstein and G. N. Sandor, On the Burmester points of a plane, ASME J. Appl. Mech., 28 (1961), 41–49.
  • [7] G. R. Veldkamp, Curvature theory in plane kinematics [Doctoral dissertation], Groningen: T.H. Delft, 1963.
  • [8] G. R. Veldkamp, Some remarks on higher curvature theory, J. Manuf. Sci. Eng., 89 (1967), 84–86.
  • [9] G. R. Veldkamp, Canonical systems and instantaneous invariants in spatial kinematics, J. Mech., 2 (1967) 329–388.
  • [10] K. Eren, S. Ersoy, Circling-point curve in Minkowski plane, Conference Proceedings of Science and Technology, 1(1), (2018), 1–6.
  • [11] K. Eren, S. Ersoy, A comparison of original and inverse motion in Minkowski plane, Appl. Appl. Math., Special Issue No.5 (2019), 56–67.
Yıl 2019, Cilt: 2 Sayı: 3, 205 - 208, 30.12.2019

Öz

Kaynakça

  • [1] O. Bottema, On instantaneous invariants, Proceedings of the International Conference for Teachers of Mechanisms, New Haven (CT): Yale University, 1961, 159–164.
  • [2] O. Bottema, On the determination of Burmester points for five distinct positions of a moving plane; and other topics, Advanced Science Seminar on Mechanisms, Yale University, July 6-August 3, 1963.
  • [3] O. Bottema, B. Roth, Theoretical Kinematics, New York (NY), Dover, 1990.
  • [4] B. Roth, On the advantages of instantaneous invariants and geometric kinematics, Mech. Mach. Theory, 89 (2015), 5–13.
  • [5] F. Freudenstein, Higher path-curvature analysis in plane kinematics, ASME J. Eng. Ind., 87 (1965), 184–190.
  • [6] F. Freudenstein and G. N. Sandor, On the Burmester points of a plane, ASME J. Appl. Mech., 28 (1961), 41–49.
  • [7] G. R. Veldkamp, Curvature theory in plane kinematics [Doctoral dissertation], Groningen: T.H. Delft, 1963.
  • [8] G. R. Veldkamp, Some remarks on higher curvature theory, J. Manuf. Sci. Eng., 89 (1967), 84–86.
  • [9] G. R. Veldkamp, Canonical systems and instantaneous invariants in spatial kinematics, J. Mech., 2 (1967) 329–388.
  • [10] K. Eren, S. Ersoy, Circling-point curve in Minkowski plane, Conference Proceedings of Science and Technology, 1(1), (2018), 1–6.
  • [11] K. Eren, S. Ersoy, A comparison of original and inverse motion in Minkowski plane, Appl. Appl. Math., Special Issue No.5 (2019), 56–67.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Kemal Eren Bu kişi benim 0000-0001-5273-7897

Soley Ersoy Bu kişi benim 0000-0002-7183-7081

Yayımlanma Tarihi 30 Aralık 2019
Kabul Tarihi 5 Aralık 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 3

Kaynak Göster

APA Eren, K., & Ersoy, S. (2019). Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology, 2(3), 205-208.
AMA Eren K, Ersoy S. Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology. Aralık 2019;2(3):205-208.
Chicago Eren, Kemal, ve Soley Ersoy. “Geometric Interpretation of Curvature Circles in Minkowski Plane”. Conference Proceedings of Science and Technology 2, sy. 3 (Aralık 2019): 205-8.
EndNote Eren K, Ersoy S (01 Aralık 2019) Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology 2 3 205–208.
IEEE K. Eren ve S. Ersoy, “Geometric interpretation of Curvature Circles in Minkowski Plane”, Conference Proceedings of Science and Technology, c. 2, sy. 3, ss. 205–208, 2019.
ISNAD Eren, Kemal - Ersoy, Soley. “Geometric Interpretation of Curvature Circles in Minkowski Plane”. Conference Proceedings of Science and Technology 2/3 (Aralık 2019), 205-208.
JAMA Eren K, Ersoy S. Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology. 2019;2:205–208.
MLA Eren, Kemal ve Soley Ersoy. “Geometric Interpretation of Curvature Circles in Minkowski Plane”. Conference Proceedings of Science and Technology, c. 2, sy. 3, 2019, ss. 205-8.
Vancouver Eren K, Ersoy S. Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology. 2019;2(3):205-8.