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Relevant bibliographies by topics / Euler-Savary formula

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Journal articles

Academic literature on the topic 'Euler-Savary formula'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Euler-Savary formula"

1

Sá Pereira, Nuno T., and Soley Ersoy. "Elliptical Harmonic Motion and Euler–Savary Formula." Advances in Applied Clifford Algebras 26, no. 2 (2015): 731–55. http://dx.doi.org/10.1007/s00006-015-0609-y.

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2

Alluhaibi, Nadia, and R. A. Abdel-Baky. "Kinematic geometry of hyperbolic dual spherical motions and Euler–Savary’s equation." International Journal of Geometric Methods in Modern Physics 17, no. 05 (2020): 2050079. http://dx.doi.org/10.1142/s0219887820500796.

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In this paper, differential properties of the one-parameter hyperbolic dual spherical kinematics are developed with explicit expressions independent of coordinates systems. We calculate Euler–Savary equations of spherical kinematics in the dual Lorentzian 3-space [Formula: see text]. Then from E. Study’s map new proofs are directly attained for the Disteli’s formulae and their spatial equivalents are examined in detail. Lastly for spherical and planar motions, the point trajectories theoretical expressions of the point trajectories are investigated with a certain value of acceleration and velo

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3

Dooner, D., R. García García, and J. M. Rico Martínez. "On spatial relations to the Euler-Savary formula." Mechanism and Machine Theory 189 (November 2023): 105427. http://dx.doi.org/10.1016/j.mechmachtheory.2023.105427.

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4

Gungor, M. A., S. Ersoy, and M. Tosun. "Dual Lorentzian spherical motions and dual Euler–Savary formula." European Journal of Mechanics - A/Solids 28, no. 4 (2009): 820–26. http://dx.doi.org/10.1016/j.euromechsol.2009.03.007.

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5

Tosun, M., M. A. Gungor, and I. Okur. "On the One-Parameter Lorentzian Spherical Motions and Euler-Savary Formula." Journal of Applied Mechanics 74, no. 5 (2007): 972–77. http://dx.doi.org/10.1115/1.2722775.

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In this paper, we have introduced one-parameter Lorentzian spherical motion. In addition to that, we have given the relations between the absolute, relative, and sliding velocities of these motions. Furthermore, the relations between fixed and moving pole curves in the Lorentzian spherical motions have also been obtained. At the end of this study, we have expressed the Euler-Savary formula for the one-parameter Lorentzian spherical motions.

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6

Dundar, Furkan Semih, Soley Ersoy, and Nuno T. Sá Pereira. "Bobillier Formula for the Elliptical Harmonic Motion." Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, no. 1 (2018): 103–10. http://dx.doi.org/10.2478/auom-2018-0006.

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AbstractIn 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.

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7

Masal, Melek, Soley Ersoy, and Mehmet Ali Güngör. "Euler–Savary formula for the homothetic motion in the complex plane C." Ain Shams Engineering Journal 5, no. 1 (2014): 305–8. http://dx.doi.org/10.1016/j.asej.2013.09.006.

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8

Ersoy, Soley, and Mahmut Akyigit. "One-Parameter Homothetic Motion in the Hyperbolic Plane and Euler-Savary Formula." Advances in Applied Clifford Algebras 21, no. 2 (2010): 297–313. http://dx.doi.org/10.1007/s00006-010-0255-3.

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9

Huang, Zhi Dong, Yun Pu Du, and Yu Wang. "Design and Motion Analysis of Double-Rocker Mechanism with Horizontal Uniform Rectilinear Motion." Advanced Materials Research 442 (January 2012): 240–45. http://dx.doi.org/10.4028/www.scientific.net/amr.442.240.

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The geometry relationship of parameters in double-rocker mechanism is deduced. Utilizing Euler-Savary Formula, the double-rocker mechanism with horizontal uniform rectilinear motion is designed. The horizontal uniform rectilinear properties of the mechanism are analyzed. The mapping principle between parameters and the mechanism output motion is clarified. And the design method and principle for double-rocker mechanism with horizontal uniform rectilinear motion is proposed. The results in this paper facilitate the innovation design of double-rocker mechanism with horizontal uniform rectilinear

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10

Gürses, Nurten, and Salim Yüce. "On the Moving Coordinate System and Euler-Savary Formula in Affine Cayley-Klein Planes." Deu Muhendislik Fakultesi Fen ve Muhendislik 21, no. 61 (2019): 137–48. http://dx.doi.org/10.21205/deufmd.2019216114.

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