Open AccessPeriodic body motions along a horizontal rough surface by moving two internal masses
Author(s) -
Evgeniya A. Chekina
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1959/1/012014
Subject(s) - surface (topology) , body surface , motion (physics) , physics , amplitude , classical mechanics , solid body , plane (geometry) , rough surface , harmonic , space (punctuation) , horizontal plane , rigid body , three dimensional space , inclined plane , mechanics , geometry , mathematics , optics , acoustics , materials science , quantum mechanics , composite material , linguistics , philosophy
The analysis of the translational motion of a body carrying two moving internal masses along a horizontal rough surface is provided. The masses perform harmonic oscillations in the vertical plane, the frequencies of which are equal, and the amplitudes and phases can be arbitrary. It is assumed that the values of the problem parameters are chosen in such a way that the body moves without separation from the surface. Friction between a body and a surface is described by Coulomb’s law. The classification of possible modes of body motion with periodically varying velocity is carried out. In the three-dimensional space of the parameters of the problem, regions in which the periodic motions are of a qualitatively different nature were constructed.