Transverse vibration of the thin plates: frequency-domain spectral element modeling and analysis
type: Item
instance of: scholarly article
title: Transverse vibration of the thin plates: frequency-domain spectral element modeling and analysis
zbMATH Open document ID: 1394.74059
DOI: 10.1155/2015/541276
author: Ilwook Park
author: Usik Lee
author: Dong Hyun Park
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: It has been well known that exact closed-form solutions are not available for non-Levy-type plates. Thus, more accurate and efficient computational methods have been required for the plates subjected to arbitrary boundary conditions. This paper presents a frequency-domain spectral element model for the rectangular finite plate element. The spectral element model is developed by using two methods in combination: (\(1\)) the boundary splitting and (\(2\)) the super spectral element method in which the Kantorovich method-based finite strip element method and the frequency-domain waveguide method are utilized. The present spectral element model has nodes on four edges of the finite plate element, but no nodes inside. This can reduce the total number of degrees of freedom a lot to improve the computational efficiency significantly, when compared with the standard finite element method (FEM). The high solution accuracy and computational efficiency of the present spectral element model are evaluated by the comparison with exact solutions and the solutions by the standard FEM.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6926610
Wikidata QID: Q59119230
describes a project that uses: ANSYS
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/541276
OpenAlex ID: W2195206096
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description: scientific article; zbMATH DE number 6926610