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In-Plane Free Vibration of Circular and Annular FG Disks
Y. Yang; K. P. Kou; C. C. Lam
Source PublicationInternational Journal of Computational Methods

The analysis of the in-plane free vibration of the circular and annular FG disks by a meshfree boundary-domain integral equation method is presented in this paper. The material properties of the disks are assumed to vary in the radial direction obeying an exponential law. Based on the two-dimensional linear elastic theory, the motion equations of the FG disks are derived by using the static fundamental solutions. Radial integration method as an efficient tool is adopted to treat the domain integrals which are raised due to the material inhomogeneous and inertial effects. The natural frequencies and associate mode shapes are calculated for the FG disks with combinations of free and clamped boundary conditions. Parametric studies are also conducted to study the effects of the material gradients, radius ratios and boundary conditions on the frequency of the FG disks.

KeywordIn-plane Free Vibration Circular And Annular Fg Disks Meshfree Boundary Domain Integral Equation Method
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Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorY. Yang
AffiliationDepartment of Civil and Environmental Engineering University of Macau, Macau, P. R. China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Y. Yang,K. P. Kou,C. C. Lam. In-Plane Free Vibration of Circular and Annular FG Disks[J]. International Journal of Computational Methods,2018,15(1).
APA Y. Yang,K. P. Kou,&C. C. Lam.(2018).In-Plane Free Vibration of Circular and Annular FG Disks.International Journal of Computational Methods,15(1).
MLA Y. Yang,et al."In-Plane Free Vibration of Circular and Annular FG Disks".International Journal of Computational Methods 15.1(2018).
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