000013465 001__ 13465
000013465 005__ 20161114165555.0
000013465 04107 $$aeng
000013465 046__ $$k2011-05-25
000013465 100__ $$aMurin, J.
000013465 24500 $$aModal Analysis of the Fgm Beams with Spatial Variation of Material Properties Under Longitudinal Variable Elastic Winkler Foundation

000013465 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013465 260__ $$bNational Technical University of Athens, 2011
000013465 506__ $$arestricted
000013465 520__ $$2eng$$aA differential equation of the homogenized functionally graded material (FGM) beam deflection will be presented which will be used for free vibration analysis of the beams with continuous longitudinal and transversal variation of material properties. The FGM beams with continuous spatial variation of material properties of double symmetric crosssection have been transformed into the multilayer FGM beams. Symmetrical layering according the neutral plane in transversal direction is assumed: the corresponding layers have the same height and material properties. The material properties vary continuously in longitudinal direction, but they are constant along the height and width of competent layers. The FGM beams are considered to be resting on longitudinal variable (Winkler) elastic foundation. The first and second order beam theories have been used for establishing the kinematics and kinetic equations. Not only the shear force deformation effect and the effect of consistent mass distribution and mass moment of inertia have been taken into account, but also the effect of large axial forces have been considered. Numerical experiments were performed to calculate the eigenfrequencies and corresponding eigenmodes of chosen FGM beams. The solution results are discussed and compared with those obtained using a very fine mesh of twodimensional solid finite elements. The effects of material properties variation, layering fineness, the shear force correction factor and large axial forces have been evaluated and discussed.

000013465 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013465 653__ $$aModal Analysis, Multilayer FGM Beams, 1st and 2nd Order Beam Theory, Shear Correction Function, Large Axial Force, Spatial Variation of Material Properties.

000013465 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013465 720__ $$aMurin, J.$$iAminbaghai, M.$$iKutis, V.
000013465 8560_ $$ffischerc@itam.cas.cz
000013465 8564_ $$s2295971$$uhttps://invenio.itam.cas.cz/record/13465/files/143.pdf$$yOriginal version of the author's contribution as presented on CD, section: MS 03 Advances in Computational Structural Vibrations.
000013465 962__ $$r13401
000013465 980__ $$aPAPER