Bending and Free Vibration Analysis of Nonlocal Functionally Graded Nanocomposite Timoshenko Beam Model Rreinforced by SWBNNT Based on Modified Coupled Stress Theory

In this article, the bending and free vibration analysis of functionallygraded (fg) nanocomposites timoshenko beam model reinforced bysingle-walled boron nitride nanotube (swbnnt) using micromechanicalapproach embedded in an elastic medium is studied. themodified coupled stress (mcst) and nonlocal elasticity theories aredeveloped to take into account the size-dependent effect. themechanical properties of fg boron nitride nanotube-reinforcedcomposites are assumed to be graded in the thickness direction andestimated through the micro-mechanical approach. the governingequations of motion are obtained using hamilton’s principle based ontimoshenko beam theory. the navier's type solution is implementedto solve the equations that satisfy the simply supported boundaryconditions. furthermore, the influences of the slenderness ratio,length of nanocomposite beam, material length scale parameter,nonlocal parameter, power law index, axial wave number, andwinkler and pasternak coefficients on the natural frequency ofnanocomposite beam are investigated. also, the effect of materiallength scale parameter on the dimensionless deflection of fgnanocomposite beam is studied.