<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The first natural frequency of oscillations of the vibrations of a discrete-continuous interresonant vibrating table plate was found using the functions of the Krylov-Duncan. The continuous member, presented in a plate hinged at four points, is used as a reactive mass with distributed parameters to create an inter-resonance vibrating table with an electromagnetic drive. For this purpose, the plate was considered as a rod on hinged supports. The justification of this approach is confirmed by simulation in the Ansys software. The results were confirmed using the approximate Rayleigh-Ritz method. The geometric shape of the plate is reduced to a section of a hyperboloidal surface. The results of simulation of the first natural frequency were verified experimentally.</p>
</abstract>

The first natural frequency of oscillations of the vibrations of a discrete-continuous interresonant vibrating table plate was found using the functions of the Krylov-Duncan. The continuous member, presented in a plate hinged at four points, is used as a reactive mass with distributed parameters to create an inter-resonance vibrating table with an electromagnetic drive. For this purpose, the plate was considered as a rod on hinged supports. The justification of this approach is confirmed by simulation in the Ansys software. The results were confirmed using the approximate Rayleigh-Ritz method. The geometric shape of the plate is reduced to a section of a hyperboloidal surface. The results of simulation of the first natural frequency were verified experimentally.

Approximate Calculation of the Natural Oscillation Frequency of the Vibrating Table in Inter-Resonance Operation Mode

Department of Robotics and Integrated Mechanical Engineering Technologies

Lviv Polytechnic National University, Institute of Engineering Mechanics and Transport

Strojnícky časopis - Journal of Mechanical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The first natural frequency of oscillations of the vibrations of a discrete-continuous interresonant vibrating table plate was found using the functions of the...

Approximate Calculation of the Natural Oscillation Frequency of the Vibrating Table in Inter-Resonance Operation Mode

Published Online: Dec 07, 2021

Page range: 151 - 166

DOI: https://doi.org/10.2478/scjme-2021-0026

Keywords
inter-resonance vibrating table, continuous member, elastic plate, the natural frequency of body oscillations, Rayleigh-Ritz method

© 2021 Maistruk Pavlo et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Approximate Calculation of the Natural Oscillation Frequency of the Vibrating Table in Inter-Resonance Operation Mode

Published Online: Dec 07, 2021

Page range: 151 - 166

DOI: https://doi.org/10.2478/scjme-2021-0026

Keywordsinter-resonance vibrating table, continuous member, elastic plate, the natural frequency of body oscillations, Rayleigh-Ritz method

© 2021 Maistruk Pavlo et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
inter-resonance vibrating table, continuous member, elastic plate, the natural frequency of body oscillations, Rayleigh-Ritz method