Open AccessTO THE QUESTION OF ANALYSIS OF EQUATIONS OF MOTION OF A RIGID BODY DURING THE MECHANICAL OSCILATIONS
Author(s) -
Iryna Bernyk
Publication year - 2021
Publication title -
mechanics and advanced technologies
Language(s) - English
Resource type - Journals
eISSN - 2522-4255
pISSN - 2521-1943
DOI - 10.20535/2521-1943.2021.5.3.250180
Subject(s) - oscillation (cell signaling) , position (finance) , differential equation , physics , amplitude , acceleration , classical mechanics , mechanics , natural frequency , motion (physics) , homogeneous differential equation , differential (mechanical device) , equations of motion , homogeneous , mathematical analysis , mathematics , ordinary differential equation , acoustics , vibration , differential algebraic equation , optics , statistical physics , chemistry , thermodynamics , biochemistry , finance , economics
Depending on the current position of the mass in different areas of the spring deformation during the oscillation process the values that determines the natural frequency of free continuous oscillations have opposite signs. It is defined by the change in the direction of acceleration of the mass in these areas, which makes it possible to determine a single inhomogeneous differential equation of the oscillation process in different areas of the movement of the mass. When the oscillation amplitude is much less than the static position of the mass, this inhomogeneous differential equation represents a homogeneous differential equation of free undamped oscillations.