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Three-Dimensional Free Vibration of Functionally Graded Material Plates on Different Boundary Conditions
Li Q.1; Iu V.P.2
2011-12-01
Source PublicationMechanics of Advanced Materials and Structures
ISSN1537-6494
Volume18Issue:8Pages:597-601
Abstract

Free vibration of rectangular functionally graded material plates on different support conditions is studied based on the three-dimensional linear theory of elasticity. The three displacements of the plates are expanded by a series of Chebyshev polynomials multiplied by appropriate functions to satisfy the essential boundary conditions. The natural frequencies are obtained by the Ritz method. The present approach is validated by comparing the results with those from other theories and methods. The effects of volume fraction index, aspect ratios, and thickness-side ratios are discussed in the parametric study. 

KeywordChebyshev Polynomial Functionally Graded Material Ritz Method Three-dimensional Vibration
DOIhttps://doi.org/10.1080/15376494.2011.621840
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMaterials Science ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mechanics ; Materials Science, Characterization & Testing ; Materials Science, Composites
WOS IDWOS:000297250100007
PublisherTAYLOR & FRANCIS INC, 325 CHESTNUT ST, SUITE 800, PHILADELPHIA, PA 19106 USA
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Corresponding AuthorIu V.P.
Affiliation1.Civil Engineering Laboratory of Macau, Macao SAR, China
2.Department of Civil and Environmental Engineering, University of Macau, Macao SAR, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Li Q.,Iu V.P.. Three-Dimensional Free Vibration of Functionally Graded Material Plates on Different Boundary Conditions[J]. Mechanics of Advanced Materials and Structures,2011,18(8):597-601.
APA Li Q.,&Iu V.P..(2011).Three-Dimensional Free Vibration of Functionally Graded Material Plates on Different Boundary Conditions.Mechanics of Advanced Materials and Structures,18(8),597-601.
MLA Li Q.,et al."Three-Dimensional Free Vibration of Functionally Graded Material Plates on Different Boundary Conditions".Mechanics of Advanced Materials and Structures 18.8(2011):597-601.
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