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Year 2019, Volume: 2 Issue: 3, 205 - 208, 30.12.2019

Kemal Eren Soley Ersoy

https://izlik.org/JA69BM45FA

Abstract

References

  • [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.

Geometric interpretation of Curvature Circles in Minkowski Plane

Year 2019, Volume: 2 Issue: 3, 205 - 208, 30.12.2019

Kemal Eren Soley Ersoy

https://izlik.org/JA69BM45FA

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

Centering-point curve Circling-point curve Minkowski plane

Supporting Institution

Sakarya University

Thanks

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

References

  • [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.
There are 11 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Kemal Eren This is me 0000-0001-5273-7897

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

Acceptance Date December 5, 2019
Publication Date December 30, 2019
IZ https://izlik.org/JA69BM45FA
Published in Issue Year 2019 Volume: 2 Issue: 3

Cite

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.Eren K, Ersoy S. 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