Open AccessApproximate Calculation of the Natural Oscillation Frequency of the Vibrating Table in Inter-Resonance Operation Mode
Author(s) -
Pavlo Maistruk,
Oleksiy Lanets,
Vadym Stupnytskyy
Publication year - 2021
Publication title -
strojnícky časopis/journal of mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 8
eISSN - 2450-5471
pISSN - 0039-2472
DOI - 10.2478/scjme-2021-0026
Subject(s) - natural frequency , vibration , resonance (particle physics) , oscillation (cell signaling) , normal mode , table (database) , rayleigh–ritz method , mode (computer interface) , acoustics , mechanics , physics , mathematical analysis , geometry , structural engineering , mathematics , engineering , computer science , atomic physics , biology , data mining , genetics , operating system
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.