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 JAMP  Vol.3 No.5 , May 2015
The Formula of Kinetic Energy for the Closed Planar Homothetic Direct Motions
Abstract: In this paper, during one-parameter closed planar homothetic direct motions, the formula of kinetic energy is expressed. Then we show the relation between the formula of kinetic energy and the Steiner formula. We investigate some properties of closed planar homothetic motions. These motions appear between two coordinate systems, fixed and moving (direct motion). Finally, we show how the results can be applied to experimentally measured motions. As an example, we consider a motion of winch in the sagittal direction. We obtain the formula of kinetic energy for the motion of winch during one-parameter closed planar homothetic direct motions.
Cite this paper: Tutar, A. and Inan, E. (2015) The Formula of Kinetic Energy for the Closed Planar Homothetic Direct Motions. Journal of Applied Mathematics and Physics, 3, 563-568. doi: 10.4236/jamp.2015.35069.
References

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[2]   Tutar, A. and Kuruoglu, N. (1999) The Steiner Formula and the Holditch Theorem for the Homothetic Motions on the Planar Kinematics. Mechanism and Machine Theory, 34, 1-6.
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[4]   Muller, H.R. (1978) Uber Tragheitsmomente bei Steinerscher Massenbelegung. Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft, 29, 115-119.

[5]   Dathe, H. and Gezzi, R. (2014) Addenda and Erratum to: Characteristic Directions of Closed Planar Motions. Zeitschrift fur Angewandte Mathematik und Mechanik, 94, 551-554.
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[6]   Inan, E. and Tutar, A. (2014) Characteristic Directions of Closed Planar Homothetic Direct Motions. Submitted.

[7]   Dathe, H. and Gezzi, R. (2012) Characteristic Directions of Closed Planar Motions. Zeitschrift fur Angewandte Mathematik und Mechanik, 92, 2-13.
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