000021870 001__ 21870
000021870 005__ 20170622131309.0
000021870 04107 $$aeng
000021870 046__ $$k2017-06-15
000021870 100__ $$aChajdi, Mohcine
000021870 24500 $$aGEOMETRICALLY NONLINEAR FREE VIBRATIONS OF FUNCTIONALLY GRADED BEAM WITH DISCONTINUITIES RESTING ON NONLINEAR ELASTIC FOUNDATIONS

000021870 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021870 260__ $$bNational Technical University of Athens, 2017
000021870 506__ $$arestricted
000021870 520__ $$2eng$$aThis paper studies the geometrically nonlinear free vibration characteristics of functionally graded beam clamped at both ends with an edge crack and including uniform porosities resting on an elastic foundation. The theoretical formulations is based on Euler-Bernoulli beam theory and von Karman geometric nonlinearity assumptions. A semi-analytical model based on Hamilton’s principle and spectral analysis combined with a homogenisation method is used to reduce the problem under consideration to that of an equivalent isotropic homogeneous cracked beam resting on an elastic foundation. A modified rule of mixture, taking the effect of porosities into account, is adopted in evaluating the effective material properties and assumed to be varying continuously in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The problem is solved by a numerical iterative method which investigates the effects of crack depth, material property gradient, foundations parameters, on dynamic response of cracked functionally graded beam.

000021870 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021870 653__ $$aNonlinear vibration, Functionally graded beam, Crack, Porosities, Elastic foundation.

000021870 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021870 720__ $$aChajdi, Mohcine$$iBikri, Khalid El$$iMerrimi, El Bekkaye
000021870 8560_ $$ffischerc@itam.cas.cz
000021870 8564_ $$s646616$$uhttps://invenio.itam.cas.cz/record/21870/files/18181.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS13] Earthquake Soil Structure Interaction Modeling and Simulation
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000021870 962__ $$r21500
000021870 980__ $$aPAPER