The dynamics of a resonance single-mass vibratory machine with a vibration exciter of targeted action that operates on the Sommerfeld effect

Authors

DOI:

https://doi.org/10.15587/1729-4061.2021.233960

Keywords:

resonant vibratory machine, Sommerfeld effect, inertial vibration exciter of targeted action, single-mass vibratory machine

Abstract

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

Author Biographies

Gennadiy Filimonikhin, Central Ukrainian National Technical University

Doctor of Technical Sciences, Professor, Head of Department

Department of Machine Parts and Applied Mechanics

Vladimir Pirogov, Central Ukrainian National Technical University

PhD, Senior Lecturer

Department of Machine Parts and Applied Mechanics

Maksim Hodunko, Central Ukrainian National Technical University

PhD, Associate Professor

Department of Mechanical Engineering Technology

Ruslan Kisilov, Central Ukrainian National Technical University

PhD, Associate Professor

Department of Agricultural Machine Building

Vitalii Mazhara, Central Ukrainian National Technical University

PhD, Associate Professor, Dean of Faculty

Mechanical and Technological Faculty

References

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Published

2021-06-17

How to Cite

Filimonikhin, G., Pirogov, V., Hodunko, M., Kisilov, R., & Mazhara, V. (2021). The dynamics of a resonance single-mass vibratory machine with a vibration exciter of targeted action that operates on the Sommerfeld effect. Eastern-European Journal of Enterprise Technologies, 3(7 (111), 51–58. https://doi.org/10.15587/1729-4061.2021.233960

Issue

Vol. 3 No. 7 (111) (2021): Applied mechanics

Section

Applied mechanics

License

Copyright (c) 2021 Геннадий Борисович Филимонихин, Владимир Васильевич Пирогов, Максим Олегович Годунко, Руслан Викторович Кисилев, Виталий Анатольевич Мажара

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