<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the same angular frequency and phase difference of π/2 . It is commonly recognized that a convenient formulation for problems in planar kinematics is obtained by using number systems. Here the elliptical numbers are used to derive the Bobillier formula with two different methods for aforesaid motion; the first method depends on the Euler-Savary formula and the second one uses the usual relations of the velocities and accelerations. </p></abstract>

In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the same angular frequency and phase difference of π/2 . It is commonly recognized that a convenient formulation for problems in planar kinematics is obtained by using number systems. Here the elliptical numbers are used to derive the Bobillier formula with two different methods for aforesaid motion; the first method depends on the Euler-Savary formula and the second one uses the usual relations of the velocities and accelerations.

Bobillier Formula for the Elliptical Harmonic Motion

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"Bobillier Formula for the Elliptical Harmonic Motion"}

In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the...

Bobillier Formula for the Elliptical Harmonic Motion

Published Online: Mar 31, 2018

Page range: 103 - 110

Received: Feb 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0006

Keywords
Elliptical numbers, elliptical harmonic motion, Bobillier formula

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Bobillier Formula for the Elliptical Harmonic Motion

Published Online: Mar 31, 2018

Page range: 103 - 110

Received: Feb 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0006

KeywordsElliptical numbers, elliptical harmonic motion, Bobillier formula

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Elliptical numbers, elliptical harmonic motion, Bobillier formula