Within the framework of a refined model that takes into account transverse shear strains and inertial components, we construct a solution of the problem of steady-state vibration of an orthotropic doubly curved panel with cutouts of any shape, orientations, and location and arbitrary external boundary under mixed harmonic boundary conditions imposed on the outer boundary and the contours of cutouts. The solution is constructed by the indirect method of boundary elements with the help of a sequential approach to the representation of the Green functions. The obtained integral equations are solved by the collocation method.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 61, No. 1, pp. 173–185, January–March, 2018.
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Shopa, Т.V. Vibration of an Orthotropic Doubly Curved Panel with a Set of Cutouts of Any Configuration Under Mixed Boundary Conditions. J Math Sci 249, 521–538 (2020). https://doi.org/10.1007/s10958-020-04956-1
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DOI: https://doi.org/10.1007/s10958-020-04956-1