Free vibration analysis of symmetrically laminated folded plate structures using an element-free Galerkin method
type: Item
instance of: scholarly article
title: Free vibration analysis of symmetrically laminated folded plate structures using an element-free Galerkin method
zbMATH Open document ID: 1394.74199
DOI: 10.1155/2015/124296
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: An element-free Galerkin method for the solution of free vibration of symmetrically laminated folded plate structures is introduced. Employing the mature meshfree folded plate model proposed by the author, a folded laminated plate is simulated as a composite structure of symmetric laminates that lie in different planes. Based on the first-order shear deformation theory (FSDT) and the moving least-squares (MLS) approximation, the stiffness and mass matrices of the laminates are derived and supposed to obtain the stiffness and mass matrices of the entire folded laminated plate. The equation governing the free vibration behaviors of the folded laminated plate is thus established. Because of the meshfree characteristics of the proposed method, no mesh is involved to determine the stiffness and mass matrices of the laminates. Therefore, the troublesome remeshing can be avoided completely from the study of such problems as the large deformation of folded laminated plates. The calculation of several numerical examples shows that the solutions given by the proposed method are very close to those given by ANSYS, using shell elements, which proves the validity of the proposed method.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6925512
Wikidata QID: Q59118446
describes a project that uses: ANSYS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/124296
OpenAlex ID: W2103602366
cites work: Q5721807
cites work: Prismatic folded plate analysis using finite strip-elements
cites work: An exact strip method for folded plate structures
cites work: Analysis of folded plate structures by a combined boundary element-transfer matrix method
cites work: Vibration analysis of folded plates
cites work: Element‐free Galerkin methods
cites work: Reproducing kernel particle methods for large deformation analysis of nonlinear structures
cites work: Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method
cites work: Free vibration analysis of folded plate structures by the FSDT mesh-free method
cites work: An efficient meshfree method for vibration analysis of laminated composite plates
cites work: MESHFREE GALERKIN KRIGING MODEL FOR BENDING AND BUCKLING ANALYSIS OF SIMPLY SUPPORTED LAMINATED COMPOSITE PLATES
cites work: Dynamic behavior of folded composite plates analyzed by the third-order plate theory
description: scientific article; zbMATH DE number 6925512