ELASTOSTATIC ANALYSIS OF THE SPATIAL FGM STRUCTURES
Journal Title: Strojnicky casopis - Journal of Mechanical Engineering - Year 2015, Vol 65, Issue 1
Abstract
In this contribution, results of elastostatic analysis of spatial composite beam structmes are presented using ow- new beam finite element of double symmetric cross-section made of a Ftmctionally Graded Material (FGM). Material propett ies of the real beams vaty continuously in the longitudinal direction while variation with respect to the transversal and lateral dire.ctions is assumed to be symmetric in a continuous or discontinuous manner. Continuously longitudinal vruying spatial Winkler elastic fotmdations (except the torsional fotmdation) and the effect of axial and shear forces are considered as well. Homogenization of spatially vatying material propetties to effective quantities with a longitudinal variation is done by the multilayer method (MLM). For the homogenized beam finite element the local stiffness matrix is established by means of the transfer matrix method. By the conventional finite element procedw-e, the global element stiffness matrix and the global system of equation for the beam stmcture are established for calculation of the global displacement vector. The secondary variables (internal forces and moments) are then calculated by means of the transfer relations on the real beatns. Fwt her, the mechanical stress in the real beams are calculated. Finally, the numerical experiments are canied out concerning the elastic-static analysis of the single FGM beruns and beam structw-es in order to show the possibilities ofow- approach.
Authors and Affiliations
J. Murín, M. Aminbaghaiو . Hrabovský
Keywords
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