Forced vibration analysis of functionally graded beams by the meshfree boundary-domain integral equation method
Yang Y.; Lam C.C.; Kou K.P.
2016-11-01
Source PublicationEngineering Analysis with Boundary Elements
ISSN09557997
Volume72Pages:100-110
Abstract

Forced vibration of two-dimensional functionally graded beams is studied in this paper by a developed meshfree boundary-domain integral equation method. Material properties of the functionally graded beams are assumed varying continuously either in longitudinal or transvers direction following the exponential function. The boundary-domain integral equations are derived by using the elastostatic fundamental solutions based on the two-dimensional elastic theory. Radial integral method (RIM) is employed to transform the domain integrals into boundary integrals. A meshfree scheme is achieved through assuming the displacements and accelerations in the domain integrals by a combination of the radial basis function and polynomials with time dependent coefficients. Wilson-θ, Houbolt as well as two kinds of damped Newmark's algorithms are applied to accomplish the time integration. The forced vibration of the functionally graded beam subjected by the harmonic loading and transient loading are investigated in detail. Numerical examples demonstrate that the four mentioned time integral schemes are all adapted well to the developed meshfree boundary-domain integral equation method for analyzing the forced vibration of homogeneous structures. For the analysis of FG structures, it is shown that the damped Newmark's algorithm can achieve more stable and accurate results.

KeywordFinite Element Analysis Forced Vibration Dynamic Analysis Functionally Graded Beams Meshfree Boundary-domain Integral Equation Method Radial Integral Method (Rim)
DOI10.1016/j.enganabound.2016.08.003
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000385595700009
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Citation statistics
Cited Times [WOS]:15   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Corresponding AuthorLam C.C.
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Yang Y.,Lam C.C.,Kou K.P.. Forced vibration analysis of functionally graded beams by the meshfree boundary-domain integral equation method[J]. Engineering Analysis with Boundary Elements,2016,72:100-110.
APA Yang Y.,Lam C.C.,&Kou K.P..(2016).Forced vibration analysis of functionally graded beams by the meshfree boundary-domain integral equation method.Engineering Analysis with Boundary Elements,72,100-110.
MLA Yang Y.,et al."Forced vibration analysis of functionally graded beams by the meshfree boundary-domain integral equation method".Engineering Analysis with Boundary Elements 72(2016):100-110.
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