Deflection to natural vibration frequency ratio in a three-layer CLT slab with variable thickness of layers
https://doi.org/10.33979/2073-7416-2024-116-6-60-68
Abstract
This study examines the relationship between the maximum deflection and natural frequency of vibration in a three-layer cross-laminated timber (CLT) board at variable thicknesses of the inner and transverse plank layers under different boundary conditions. The finite element method (FEM), implemented in the SCAD++ computer complex by creating a finite element computational model in the form of a composite plate with anisotropic properties of the layers and rigid bonds between the plates, was used for the investigations. As a result, the values of maximum deflections and natural vibration frequencies for plates with different cross-sectional parameters were obtained. The obtained results are compared with the analytical values of the fundamental dependence obtained by Professor V.I. Korobko describing the relationship between the maximum deflection of a composite plate and the frequency of natural vibrations. It was found that the deviation of the numerical values of the K coefficient does not exceed 3% under different boundary conditions of structures and parameters of their cross-section.
About the Authors
M. Yu. Troshin
Oryol state University named after I.S. Turgenev
Russian Federation
Russian Federation
Troshin Mikhail Yu., postgraduate student, of the department of Building Structures and Materials
Oryol
A. V. Turkov
Oryol state University named after I.S. Turgenev
Russian Federation
Russian Federation
Turkov Andrey V., doctor of technical sciences, associate professor, professor of the department of Building Structures and Materials
Oryol
A. S. Troshina
Oryol state University named after I.S. Turgenev
Russian Federation
Russian Federation
Troshina Alexandra S., master student, of the department Agro-industrial and Civil Engineering
Oryol
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Review
For citations:
Troshin M.Yu., Turkov A.V., Troshina A.S. Deflection to natural vibration frequency ratio in a three-layer CLT slab with variable thickness of layers. Building and Reconstruction. 2024;(6):60-68. (In Russ.) https://doi.org/10.33979/2073-7416-2024-116-6-60-68
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