Buckling and vibration analysis of cantilever functionally graded (FG) beam that reinforced with carbon nanotube (CNT) is the purpose of this paper. The beam is graded in the thickness direction, and compressive axial force impressed the beam. The volume fractions of randomly oriented agglomerated single-walled CNTs (SWCNTs) are assumed to be graded in the thickness direction. To determine the effect of CNT agglomeration on the elastic properties of CNT-reinforced FG-beam, a two-parameter micromechanics model of agglomeration is employed. In this paper, an equivalent continuum model based on the Eshelby–Mori–Tanaka approach is obtained. The stability and motion equations are based on the two-dimensional elasticity theory and Hamilton’s principle. The generalized differential quadrature method (GDQM) that has high accuracy is used to discretize the equations of stability and motion and to implement the boundary conditions. To study the accuracy of the present analysis, a compression is carried out with a known data. Convergence rate, the influence of graded agglomerated CNTs, and the effect of axial forces exerted on the beam, on the natural frequencies of reinforced beam by randomly oriented agglomerated CNTs are investigated.
The present paper, deals with free vibration of functionally graded fiber orientation (FO) rectangular plates considering temperature effect. Three different types of fiber orientation distributions through the thickness of plate are proposed. The properties of plate are assumed to be temperature-dependent. Equations of motions are derived based on three dimensional theory of elasticity. General differential quadrature method is used to discretize these equations. Effects of temperature, fiber orientation, boundary conditions besides some geometric parameters are presented. Also some interesting conclusions are obtained since temperature and functionality of FG plate have significant effect on the natural frequency of the plate.
Keywords,Fiber orientation (FO), natural frequency, three dimensional (3D) general differential quadrature method, temperature dependent, Three-dimensional elasticity solution 1 Email: m.nejati313@gmail.com, Tell: +989183625745 Downloaded by [University of Nebraska, Lincoln] at 22
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