Linear Oscillations of Thin Plates with Corners and Cracks
- Authors: Korikov D.V.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 235, No 3 (2018)
- Pages: 275-311
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242111
- DOI: https://doi.org/10.1007/s10958-018-4074-8
- ID: 242111
Cite item
Abstract
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.
About the authors
D. V. Korikov
St. Petersburg State University
Author for correspondence.
Email: thecakeisalie@list.ru
Russian Federation, 1, Ul’yanovskaya St., Petrodvorets, St. Petersburg, 198504