000013108 001__ 13108
000013108 005__ 20161114160327.0
000013108 04107 $$aeng
000013108 046__ $$k2009-06-22
000013108 100__ $$aMurin, J.
000013108 24500 $$aExact solution of the bending vibration problem of fgm multilayered sandwich beam with variation of material properties

000013108 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013108 260__ $$bNational Technical University of Athens, 2009
000013108 506__ $$arestricted
000013108 520__ $$2eng$$aIn the theoretical part of this contribution we deal with deriving a fourth-order differential equation of the functionally graded material (FGM) beam deflection with variation of material properties. The variation of effective elasticity modulus and mass density can be caused by variation of both the volume fraction and material properties of the FGM constituents in the sandwich layers. Homogenization of the varying material properties of the multilayered sandwich beam is done by extended mixture rules and laminate theory. The linear beam theory has been used for establishing the equilibrium- and kinematics equations of the FGM beam. The shear forces deformation effect and the effect of consistent mass distribution and mass inertia moment have been taken into account too. Numerical experiments will be done concerning the calculation of the eigenfrequencies and corresponded eigenmodes of chosen multilayered FGM sandwich beams. The solution results will be discussed and compared with the ones obtained by using very fine mesh of the 2D solid elements of a FEM commercial program.

000013108 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013108 653__ $$aFree vibration problem, FGM multilayered sandwich beam, Longitudinal and transversal variation of material properties. Abstract. In the theoretical part of this contribution we deal with deriving a fourth-order differential equation of the functionally graded material (FGM) beam deflection with variation of material properties. The variation of effective elasticity modulus and mass density can be caused by variation of both the volume fraction and material properties of the FGM constituents in the sandwich layers. Homogenization of the varying material properties of the multilayered sandwich beam is done by extended mixture rules and laminate theory. The linear beam theory has been used for establishing the equilibrium- and kinematics equations of the FGM beam. The shear forces deformation effect and the effect of consistent mass distribution and mass inertia moment have been taken into account too. Numerical experiments will be done concerning the calculation of the eigenfrequencies and corresponded eigenmodes of chosen multilayered FGM sandwich beams. The solution results will be discussed and compared with the ones obtained by using very fine mesh of the 2D solid elements of a FEM commercial program.

000013108 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013108 720__ $$aMurin, J.$$iAminbaghai, M.$$iKutis, V.
000013108 8560_ $$ffischerc@itam.cas.cz
000013108 8564_ $$s527092$$uhttps://invenio.itam.cas.cz/record/13108/files/CD144.pdf$$yOriginal version of the author's contribution as presented on CD, section: Advances in structural vibrations - i (MS).
000013108 962__ $$r13074
000013108 980__ $$aPAPER