Open AccessTO THE QUESTION OF ANALYSIS OF EQUATIONS OF MOTION OF A RIGID BODY DURING THE MECHANICAL OSCILATIONS
Author(s) -
И. В. Добров,
Andriy Semichev
Publication year - 2021
Publication title -
progresivna tehnìka, tehnologìâ ta ìnženerna osvìta
Language(s) - English
Resource type - Journals
ISSN - 2409-7160
DOI - 10.20535/2409-7160.2021.xxii.238647
Subject(s) - oscillation (cell signaling) , position (finance) , differential equation , physics , amplitude , acceleration , classical mechanics , motion (physics) , natural frequency , mechanics , homogeneous differential equation , mathematical analysis , equations of motion , differential (mechanical device) , homogeneous , deformation (meteorology) , mathematics , ordinary differential equation , acoustics , vibration , differential algebraic equation , optics , statistical physics , genetics , finance , meteorology , economics , biology , thermodynamics
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.