Linear Oscillations of Thin Plates with Corners and Cracks


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We study linear oscillations of a thin plate in a bounded domain G ⊂ ℝ2 with finitely many corner points at the boundary ∂G. The time t runs the real axis. The boundary conditions are related to the rigidly fixed or free boundary of the plate. We describe the asymptotics of a solution to the problem near the corner points.

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D. Korikov

St. Petersburg State University

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