Year: 2024
Type: article
Abstract: A thin homogeneous isotropic plate has fixed the lower base and a part of the lateral side. The asymptotics of frequencies of natural oscillations of the plate is constructed. In the case of long fixation zone the model implies the two-dimensional problem of the elasticity theory on the cross-section but the reducing of this zone leads to the localization of the modes of natural oscillations near the lateral side of the plate. The asymptotic analysis is based on inspection of the spectrum of the auxiliary planar problem in the semi-infinite strip which describes the boundary layer phenomenon.
Author: S. А. Nazarov
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405013788