Open AccessThe dynamics of a resonance single-mass vibratory machine with a vibration exciter of targeted action that operates on the Sommerfeld effect
Author(s) -
Gennadiy Filimonikhin,
Vladimir Pirogov,
Maksim Hodunko,
Ruslan Kisilyov,
Vitalii Mazhara
Publication year - 2021
Publication title -
eastern-european journal of enterprise technologies
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.268
H-Index - 24
eISSN - 1729-4061
pISSN - 1729-3774
DOI - 10.15587/1729-4061.2021.233960
Subject(s) - vibration , resonance (particle physics) , rotation (mathematics) , angular velocity , oscillation (cell signaling) , physics , exciter , mechanics , pendulum , fictitious force , dynamics (music) , mode (computer interface) , constant angular velocity , classical mechanics , control theory (sociology) , mathematics , geometry , acoustics , computer science , atomic physics , control (management) , quantum mechanics , artificial intelligence , biology , genetics , operating system
This paper reports a study into the dynamics of a vibratory machine composed of a viscoelastically-fixed platform that can move vertically and two identical inertial vibration exciters. The vibration exciters' bodies rotate at the same angular velocities in opposite directions. The bodies host a single load in the form of a ball, roller, or pendulum. The loads' centers of mass can move relative to the bodies in a circle with a center on the axis of rotation. The loads' relative movements are hindered by the forces of viscous resistance.It was established that a vibratory machine theoretically possesses the following:– one to three oscillatory modes of movement under which loads get stuck at almost constant angular velocity and generate total unbalanced mass in the vertical direction only;– a no-oscillation mode under which loads rotate synchronously with the bodies and generate total unbalanced mass in the horizontal direction only.At the same time, only one oscillatory mode is resonant and exists at the above-the-resonance speeds of body rotation, lower than some characteristic speed.At the bodies' rotation speeds:‒ pre-resonant; there is a globally asymptotically stable (the only existing) mode of load jams;‒ above-the-resonance, lower than the characteristic velocity; there are locally asymptotically stable regimes ‒ both the resonance mode of movement of a vibratory machine and a no-oscillations mode;‒ exceeding the characteristic velocity: there is a globally asymptotically stable no-oscillations mode.Computational experiments have confirmed the results of theoretical research. At the same time, it was additionally established that it would suffice, to enter a resonant mode of movement, to slowly accelerate the bodies of vibration exciters to the above-the-resonance speed, less than the characteristic speed.The results reported here could be interesting both for the theory and practice of designing new vibratory machines