000015897 001__ 15897
000015897 005__ 20161115135332.0
000015897 04107 $$aeng
000015897 046__ $$k2013-06-12
000015897 100__ $$aVillamil, P.
000015897 24500 $$aTransient Response of Functionally Graded Beams Under Arbitrary Dynamic Loading

000015897 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015897 260__ $$bNational Technical University of Athens, 2013
000015897 506__ $$arestricted
000015897 520__ $$2eng$$aIn this contribution, functionally graded beams (FGBs) with an arbitrary gradation of the material properties along the beam thickness are considered. Such FGBs are of special interest in civil and mechanical engineering to improve both the thermal and the mechanical behaviours of the beams. In order to simplify the coupled governing differential equations for the longitudinal and transversal vibration of FGBs based on the Euler-Bernoulli beam theory, the gradation of the material properties is described by means of simple functions. The free vibration solution (mode shapes and eigenfrequencies) has been derived analytically and can be applied to all boundary conditions of beams. In this study, vibrations of FGBs due to periodic and non-periodic dynamic loadings are investigated. The dynamic response solution of the beams is derived analytically or numerically by means of the modal analysis with the eigenfrequencies from the free vibration analysis. Comparison is also made with the numerical results obtained by the Finite Element Method. The obtained solutions and their applications will be also discussed.

000015897 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015897 653__ $$aFunctionally Graded Beams, Structural Dynamics, Transient Analysis, Forced Vibrations

000015897 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015897 720__ $$aVillamil, P.$$iZhang, C.$$iChen, W.
000015897 8560_ $$ffischerc@itam.cas.cz
000015897 8564_ $$s901961$$uhttps://invenio.itam.cas.cz/record/15897/files/1658.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-RS 13 NUMERICAL METHODS FOR LINEAR AND NONLINEAR DYNAMICS
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000015897 962__ $$r15525
000015897 980__ $$aPAPER