Open AccessOn the equilibrium positions of the planetary mechanism at the location of the center of mass of the rod between the axes of rotation
Author(s) -
N I Bondarenko,
K B Obnosov,
A. V. Panshina
Publication year - 2019
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 - 10.1088/1742-6596/1301/1/012015
Subject(s) - radius , counterweight , mechanism (biology) , slipping , center of mass (relativistic) , rotation (mathematics) , satellite , physics , geodesy , mechanics , geometry , classical mechanics , geology , mathematics , thermodynamics , computer science , quantum mechanics , computer security , energy–momentum relation , astronomy
In this paper, the positions of stable and unstable equilibrium of the mechanism moving in the vertical plane are determined. The mechanism consists of a rod, load, counterweight and satellite, rolling without slipping on a fixed cylindrical surface. The potential energy function of the mechanism is examines. Only those variants of the mechanism design for which the ratio of the fixed surface radius to the satellite radius is a rational number are considered. The dependence of the number of equilibrium positions of the mechanism on the radius of the satellite and the distance of the load to the center of the satellite is determined by numerical analysis; and the periods of change in the potential energy of the mechanism for different values of the satellite radius are determined.