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Free vibration analysis of 2D FG plates by a meshfree boundary-domain integral equation method
Y. Yang1,2; K.P. Kou2; V.P. Iu2; C.C. Lam2; Ch. Zhang1
2013
Conference Name5th Asia Pacific Congress on Computational Mechanics & the 3rd International Symposium on Computational Mechanics (APCOM & ISCM)
Source Publicationproceedings of 5th Asia Pacific Congress on Computational Mechanics & the 3rd International Symposium on Computational Mechanics
Conference DateDes. 11-14, 2013
Conference PlaceSingapore
Abstract

Free vibration of two-dimensional functionally graded plates with an exponential material gradation is analyzed in this paper by a meshfree boundary-domain integral equation method. Based on two-dimensional elasticity theory, boundary-domain integral equations are derived by using elastostatic fundamental solutions. Due to the material inhomogeneity and the 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 polynomials. Thus, the free vibration problem is reduced to a generalized eigenvalue problem, which involves system matrices with boundary integrals only. By using the present meshfree boundary-domain integral equation method, free vibration of twodimensional exponentially graded plates with various material gradients, boundary conditions and aspect ratios are investigated, which demonstrates the high convergence, efficiency and accuracy of the present method.

KeywordFree Vibration Exponential Material Gradation Boundary Element Method Meshfree Method Boundary-domain Integral Equations Functionally Graded Plates
Language英语
Fulltext Access
Document TypeConference paper
CollectionFaculty of Science and Technology
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Affiliation1.Department of Civil Engineering, Faculty of Science and Technology, University of Siegen, Germany
2.Department of Civil Engineering, Faculty of Science and Technology, University of Macau, Macau, China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Y. Yang,K.P. Kou,V.P. Iu,et al. Free vibration analysis of 2D FG plates by a meshfree boundary-domain integral equation method[C],2013.
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