Within the framework of the refined theory taking into account the transverse shear strains and inertial components, we consider the problem of stationary vibration of an orthotropic plate with holes and absolutely rigid inclusions. The inclusions may have different types of bonds with the plate. We analyze the case of translational motion of the inclusions along the direction of normal to the median surface of the plate. We study various harmonic (in time) boundary conditions on the outer boundary of the plate and on the contours of the holes. On the basis of the indirect method of boundary elements and a sequential approach to the representation of Green’s functions, the boundary-value problem is reduced to a system of integral equations and relations, which is solved by the collocation method. The numerical results are presented for a rectangular plate containing a circular hole and a circular inclusion.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 56, No. 1, pp. 124–132, January–February, 2020.
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Shopa, T.V. Transverse Vibration of an Orthotropic Plate with Holes and Inclusions. Mater Sci 56, 132–142 (2020). https://doi.org/10.1007/s11003-020-00407-z
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DOI: https://doi.org/10.1007/s11003-020-00407-z