On the basis of the indirect method of boundary elements, we construct the solution of the problem of steady-state transverse vibration of an orthotropic plate of complex shape containing a collection of perfectly rigid inclusions of different configurations under the action of a harmonic (in time) arbitrary distributed load acting on the surface of the plate. We use a sequential representation of the Green functions and a refined theory of plates that takes into account transverse shear strains and inertial components. We consider various types of connections of inclusions with the plate and mixed harmonic (in time) boundary conditions on the outer boundary of the plate. It is assumed that inclusions mainly participate in translational motion in the direction normal to the middle surface of the plate. The test numerical results are presented for special cases of the problem.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 58, No. 3, pp. 105–111, May–June, 2022.
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Shopa, Т.V., Tuzheliak, O.І. Transverse Vibration of an Orthotropic Plate with Perfectly Rigid Inclusions in the Presence of a Load Distributed Over the Surface. Mater Sci 58, 395–402 (2022). https://doi.org/10.1007/s11003-023-00676-4
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DOI: https://doi.org/10.1007/s11003-023-00676-4