The relationship of deflections and frequencies of natural transverse vibrations of circular isotropic plates of variable thickness according to the law a square parabola with a thickening to the center
https://doi.org/10.33979/2073-7416-2022-99-1-59-66
Abstract
The relationship between the maximum deflections W0 from a static uniformly distributed load q and the fundamental frequency of natural transverse vibrations ω of a round isotropic plate of variable thickness according to the law of a square parabola with a thickening in the center under homogeneous conditions of support along the outer contour, depending on the ratio of the thickness of the plate in the center to the thickness along the edge, is considered.According to the results of the study, graphs of the dependence of the maximum deflection and the frequency of natural vibrations of the plate on the ratio t2/ t1 are constructed. It is shown that for round plates of linearly variable thickness at t2/t1≤1.1, the coefficient K with an accuracy of 5.29% coincides with the analytical coefficient for round plates of constant thickness
About the Authors
A. V. Turkov
Orel state University named after I. S. Turgenev; South-West State University
Russian Federation
Russian Federation
Turkov Andrey V. - doctor of technical sciences, professor of the department of Building Structures and Materials; doctor of technical sciences, professor of the department of Unique Buildings and Structures
Orel
Kursk
S. I. Poleshko
Orel state University named after I. S. Turgenev
Russian Federation
Russian Federation
Poleshko Sergey Iv. - master's degree student
Orel
Е. A. Finadeeva
Orel state University named after I. S. Turgenev
Russian Federation
Russian Federation
Finadeeva Elena An. - candidate of technical sciences, associate professor of the department of Building Structures and Materials, headmaster of the Institute of Architecture and Civil Engineering
Orel
K. V. Marfin
Orel state University named after I. S. Turgenev
Russian Federation
Russian Federation
Marfin Kirill V. - candidate of technical sciences, associate professor of the department of Building Structures and Materials
Orel
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Review
For citations:
Turkov A.V., Poleshko S.I., Finadeeva Е.A., Marfin K.V. The relationship of deflections and frequencies of natural transverse vibrations of circular isotropic plates of variable thickness according to the law a square parabola with a thickening to the center. Building and Reconstruction. 2022;(1):59-66. (In Russ.) https://doi.org/10.33979/2073-7416-2022-99-1-59-66
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