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

Author:

Pavlo Maistruk1,Oleksii Lanets1,Vadym Stupnytskyy1

Affiliation:

1. Department of Robotics and Integrated Mechanical Engineering Technologies , Lviv Polytechnic National University, Institute of Engineering Mechanics and Transport , Profesorska 1 , Lviv , Ukraine

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Mechanical Engineering

Reference21 articles.

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2. [2] Lanets, O., Maistruk, P., Borovets, V., Derevenko, I. “Adjustment of parameters of three – mass interresonant vibrating machines with an inertial exciters“, Industrial Process Automation in Engineering and Instrumentation 53, pp. 13 – 22, 2019. DOI: 10.23939/istcipa2019.53.01310.23939/istcipa2019.53.013

3. [3] Lanets, O., Kachur, O. “Identification of ways to further improve of highly effective interresonance oscillatory systems“, Industrial Process Automation in Engineering and Instrumentation 51, pp. 62 – 65, 2017.

4. [4] Lanets, O., Kachur, O., Borovets, V., Dmyterko, P., Derevenko, I., Zvarich, A. “Establishment of the original frequency of the continual section of the interreson research machine Rayleigh–Ritz method“, Industrial Process Automation in Engineering and Instrumentation 54, pp. 5 – 15, 2020. DOI: 10.23939/istcipa2020.54.00510.23939/istcipa2020.54.005

5. [5] Chikh, A. “Free vibration analysis of simply supported P-FGM nanoplate using a nonlocal four variables shear deformation plate theory“, Strojnícky časopis – Journal of Mechanical Engineering 69(4), pp. 9 – 24, 2019. DOI: 10.2478/scjme-2019-003910.2478/scjme-2019-0039

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