Abstract—
A natural phenomenon has been discovered—a natural property of nonlinear oscillations of elastic mechanical structures interacting with the environment. The indicated property, related in view of its objective reality to natural phenomena, is as follows: if the forces of excitation of structural vibrations from the environment exceed the strength of their damping, then the frequency of oscillations increases or decreases depending on whether the excitation of oscillations is associated with displacements or velocities of design points.
On the basis of the natural property, a mathematical model of oscillations with a variable frequency was first constructed and the mechanisms of the implementation of three methods for suppressing unstable structural oscillations, allowing to switch from an unstable state to periodic structural oscillations, are presented.
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Translated by M.K. Katuev
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Antonov, V.N. Suppression of Unstable Osclilations of Mechanical Structures. Mech. Solids 55, 218–226 (2020). https://doi.org/10.3103/S0025654420020065
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DOI: https://doi.org/10.3103/S0025654420020065