International Journal of Intelligent Systems and Applications(IJISA)

ISSN: 2074-904X (Print), ISSN: 2074-9058 (Online)

Published By: MECS Press

IJISA Vol.10, No.10, Oct. 2018

Mathematical Model of the Dynamics in a One Nonholonomic Vibration Protection System

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Viktor Legeza, Ivan Dychka, Ruslan Hadyniak, Lіubov Oleshchenko

Index Terms

Heavy Homogeneous Sphere;Pure Rolling, Appell’s Formalism;Translational Motion;Spherical Recess;Energy Conservation Integral;Roller Absorbers


Dynamic behavior of a heavy homogeneous sphere in a spherical cavity of a supporting body that performs specified translational movements in space has been studied. Using the Appel formalism, the equations of ball motion in a moving spherical cavity without slip are constructed and a numerical analysis of the evolution of the ball motion is carried out.

Cite This Paper

Viktor Legeza, Ivan Dychka, Ruslan Hadyniak, Lіubov Oleshchenko, "Mathematical Model of the Dynamics in a One Nonholonomic Vibration Protection System", International Journal of Intelligent Systems and Applications(IJISA), Vol.10, No.10, pp.20-26, 2018. DOI: 10.5815/ijisa.2018.10.03


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