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Free vibration analysis of 2D FG plates by a meshfree boundary-domain integral equation method
Yang, Y; Kou, K. P.; Iu, V. P.; Lam, C. C.; Zhang, C
2013-12-01
Source Publication5TH ASIA PACIFIC CONGRESS ON COMPUTATIONAL MECHANICS & 4TH INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL MECHANICS
AbstractFree 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 into 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 two-dimansional exponentially graded plates with various material gradients, boundary conditions and aspect ratios are investigated, which demonstrates the high convergency, efficiency and accuracy of the present method.
Keywordfree vibration functionally graded plates exponential material gradation boundary element method meshfree method boundary-domain integral equations
Language英語English
The Source to ArticlePB_Publication
PUB ID12264
Document TypeConference paper
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Faculty of Science and Technology
Recommended Citation
GB/T 7714
Yang, Y,Kou, K. P.,Iu, V. P.,et al. Free vibration analysis of 2D FG plates by a meshfree boundary-domain integral equation method[C], 2013.
APA Yang, Y., Kou, K. P.., Iu, V. P.., Lam, C. C.., & Zhang, C (2013). Free vibration analysis of 2D FG plates by a meshfree boundary-domain integral equation method. 5TH ASIA PACIFIC CONGRESS ON COMPUTATIONAL MECHANICS & 4TH INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL MECHANICS.
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