ANALYTICAL SOLUTION OF TIMOSHENKO FG POROUS BEAM UNDER BENDING TAKING INTO
ACCOUNT THE EFFECT OF ELASTIC END SUPPORTS
Authors: Binh.CT, Long.NV, Tu.TM, Hai.LT
Journal of Science and Technology in Civil Engineering
: Tập 16 số 3V : 86-99
Publishing year: 7/2022
This paper presents the analytical solutions for bending analysis of Timoshenko functionally graded porousbeam having elastic supports at both ends. Three porosity distribution patterns including uniform, non-uniform symmetric, and non-uniform asymmetric are considered. The reference coordinate system coincides with the neutral surface and it is used to get a simple form of stress-displacement relations. Equilibrium equations and boundary conditions are obtained via the energy variational principle. The results are verified with available results in the literature, in which conventional perfect connections are particular cases. The effect of material and geometry parameters, and stiffness of elastic support on the static behavior of the beam is investigated through numerical examples.
Keywords: elastic connections; FGM porous beam; bending analysis; Timoshenko beam.