Status | 已發表Published |
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 Publication | 5TH ASIA PACIFIC CONGRESS ON COMPUTATIONAL MECHANICS & 4TH INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL MECHANICS |
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 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. |
Keyword | free vibration functionally graded plates exponential material gradation boundary element method meshfree method boundary-domain integral equations |
Language | 英語English |
The Source to Article | PB_Publication |
PUB ID | 12264 |
Document Type | Conference paper |
Collection | DEPARTMENT 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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