Conference Paper

Geometric interpretation of Curvature Circles in Minkowski Plane

Volume: 2 Number: 3 December 30, 2019
  • Kemal Eren *
  • Soley Ersoy *
EN

Geometric interpretation of Curvature Circles in Minkowski Plane

Abstract

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.

Keywords

Supporting Institution

Sakarya University

Thanks

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

References

  1. [1] O. Bottema, On instantaneous invariants, Proceedings of the International Conference for Teachers of Mechanisms, New Haven (CT): Yale University, 1961, 159–164.
  2. [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. [3] O. Bottema, B. Roth, Theoretical Kinematics, New York (NY), Dover, 1990.
  4. [4] B. Roth, On the advantages of instantaneous invariants and geometric kinematics, Mech. Mach. Theory, 89 (2015), 5–13.
  5. [5] F. Freudenstein, Higher path-curvature analysis in plane kinematics, ASME J. Eng. Ind., 87 (1965), 184–190.
  6. [6] F. Freudenstein and G. N. Sandor, On the Burmester points of a plane, ASME J. Appl. Mech., 28 (1961), 41–49.
  7. [7] G. R. Veldkamp, Curvature theory in plane kinematics [Doctoral dissertation], Groningen: T.H. Delft, 1963.
  8. [8] G. R. Veldkamp, Some remarks on higher curvature theory, J. Manuf. Sci. Eng., 89 (1967), 84–86.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Authors

Soley Ersoy * This is me
0000-0002-7183-7081
Türkiye

Publication Date

December 30, 2019

Submission Date

September 11, 2019

Acceptance Date

December 5, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

APA
Eren, K., & Ersoy, S. (2019). Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology, 2(3), 205-208. https://izlik.org/JA69BM45FA
AMA
1.Eren K, Ersoy S. Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology. 2019;2(3):205-208. https://izlik.org/JA69BM45FA
Chicago
Eren, Kemal, and Soley Ersoy. 2019. “Geometric Interpretation of Curvature Circles in Minkowski Plane”. Conference Proceedings of Science and Technology 2 (3): 205-8. https://izlik.org/JA69BM45FA.
EndNote
Eren K, Ersoy S (December 1, 2019) Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology 2 3 205–208.
IEEE
[1]K. Eren and S. Ersoy, “Geometric interpretation of Curvature Circles in Minkowski Plane”, Conference Proceedings of Science and Technology, vol. 2, no. 3, pp. 205–208, Dec. 2019, [Online]. Available: https://izlik.org/JA69BM45FA
ISNAD
Eren, Kemal - Ersoy, Soley. “Geometric Interpretation of Curvature Circles in Minkowski Plane”. Conference Proceedings of Science and Technology 2/3 (December 1, 2019): 205-208. https://izlik.org/JA69BM45FA.
JAMA
1.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, and Soley Ersoy. “Geometric Interpretation of Curvature Circles in Minkowski Plane”. Conference Proceedings of Science and Technology, vol. 2, no. 3, Dec. 2019, pp. 205-8, https://izlik.org/JA69BM45FA.
Vancouver
1.Kemal Eren, Soley Ersoy. Geometric interpretation of Curvature Circles in Minkowski Plane. Conference Proceedings of Science and Technology [Internet]. 2019 Dec. 1;2(3):205-8. Available from: https://izlik.org/JA69BM45FA