Free vibration analysis of two-dimensional functionally graded structures by a meshfree boundary-domain integral equation method
Yang Y.2; Kou K.P.1; Iu V.P.1; Lam C.C.1; Zhang C.2
2014-04-01
Source PublicationComposite Structures
ISSN02638223
Volume110Issue:1Pages:342-353
Abstract

Free vibration of two-dimensional functionally graded structures with an exponential material gradation is analyzed in this paper by a meshfree boundary-domain integral equation method. Based on the two-dimensional elasticity theory, boundary-domain integral equations are derived by using elastostatic fundamental solutions. Due to the material inhomogeneity and inertial effect, two domain integrals emerge in the boundary-domain integral equation formulation. Radial integration method is employed to convert the domain integrals into boundary integrals. A meshfree scheme is achieved through approximating the normalized displacements in the domain integrals by a combination of the radial basis functions and the polynomials. Thus, the free vibration problem is reduced into a generalized eigenvalue problem, which involves system matrices with boundary integrals only. By using the developed meshfree boundary-domain integral equation method, free vibration of two-dimensional exponentially graded beams and plates with various material gradients, gradation directions, boundary conditions and aspect ratios is investigated, which demonstrates the high convergence, efficiency and accuracy of the present method. © 2013 Elsevier Ltd.

KeywordBoundary Element Method Boundary-domain Integral Equations Free Vibration Functionally Graded Structures Meshfree Method
DOI10.1016/j.compstruct.2013.11.028
URLView the original
Indexed BySCIE
Language英语
WOS Research AreaMaterials Science
WOS SubjectMaterials Science, Composites
WOS IDWOS:000331772500032
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Citation statistics
Cited Times [WOS]:24   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Affiliation1.Universidade de Macau
2.Universität Siegen
Recommended Citation
GB/T 7714
Yang Y.,Kou K.P.,Iu V.P.,et al. Free vibration analysis of two-dimensional functionally graded structures by a meshfree boundary-domain integral equation method[J]. Composite Structures,2014,110(1):342-353.
APA Yang Y.,Kou K.P.,Iu V.P.,Lam C.C.,&Zhang C..(2014).Free vibration analysis of two-dimensional functionally graded structures by a meshfree boundary-domain integral equation method.Composite Structures,110(1),342-353.
MLA Yang Y.,et al."Free vibration analysis of two-dimensional functionally graded structures by a meshfree boundary-domain integral equation method".Composite Structures 110.1(2014):342-353.
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