Free vibrations of rectangular plates
https://doi.org/10.31675/1607-1859-2023-25-3-96-111
Abstract
The paper investigates free vibrations of rectangular metal plates. The finite element method and analytical calculation are particularly used to determine the vibration frequency. The analytical calculation is based on the equation of motion of a thin rectangular plate. The asymptotic method is applied to determine the dynamic edge effect. As a result, the free vibration frequency is determined for the rectangular metal plate. The finite element analysis is performed in Lira and SolidWorks software packages. For this, a solid plate model with sensors is created to measure the free vibration frequency; the effective mass participation factor was determined.
The plate vibration tests were conducted to confirm the results of analytical calculations. The method of smooth sinusoidal vibrations is used. Spectrum graphs of the plate vibrations are suggested based on the vibration acceleration of sensors. Errors are identified in the free vibration frequencies depending on the applied method. The paper does not consider frequencies with the low effective mass participation factor.
About the Authors
N. A. Morozov
Orenburg State University
Russian Federation
Russian Federation
Nikolai A. Morozov, PhD, A/Professor
13, Pobedy Ave., 460018, Orenburg
G. I. Grebenyuk
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Grigorii I. Grebenyuk, DSc, Professor
2, Solyanaya Sq., 634003, Tomsk
V. I. Maksak
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Vladislav I. Maksak, DSc, Professor
2, Solyanaya Sq., 634003, Tomsk
A. F. Gavrilov
Orenburg State University
Russian Federation
Russian Federation
Aleksandr F. Gavrilov, PhD
13, Pobedy Ave., 460018, Orenburg
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Review
For citations:
Morozov N.A., Grebenyuk G.I., Maksak V.I., Gavrilov A.F. Free vibrations of rectangular plates. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2023;25(3):96-111. (In Russ.) https://doi.org/10.31675/1607-1859-2023-25-3-96-111
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