Dynamic stationary response of reinforced plates by the boundary element method
type: Item
instance of: scholarly article
title: Dynamic stationary response of reinforced plates by the boundary element method
zbMATH Open document ID: 1360.74149
DOI: 10.1155/2007/62157
author: Luiz Carlos Facundo Sanches
author: Euclides Mesquita
author: Renato Pavanello
author: Leandro Palermo Júnior
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
review text: Summary: A direct version of the boundary element method (BEM) is developed to model the stationary dynamic response of reinforced plate structures, such as reinforced panels in buildings, automobiles, and airplanes. The dynamic stationary fundamental solutions of thin plates and plane stress state are used to transform the governing partial differential equations into boundary integral equations (BIEs). Two sets of uncoupled BIEs are formulated, respectively, for the in-plane state (membrane) and for the out-of-plane state (bending). These uncoupled systems are joined to form a macro-element, in which membrane and bending effects are present. The association of these macro-elements is able to simulate thin-walled structures, including reinforced plate structures. In the present formulation, the BIE is discretized by continuous and/or discontinuous linear elements. Four displacement integral equations are written for every boundary node. Modal data, that is, natural frequencies and the corresponding mode shapes of reinforced plates, are obtained from information contained in the frequency response functions (FRFs). A specific example is presented to illustrate the versatility of the proposed methodology. Different configurations of the reinforcements are used to simulate simply supported and clamped boundary conditions for the plate structures. The procedure is validated by comparison with results determined by the finite element method (FEM).
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 5371807
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2007/62157
OpenAlex ID: W2044996756
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description: scientific article; zbMATH DE number 5371807