Beams and beam structures are structural components commonly used in mechanical,
aerospace, nuclear, and civil engineering. To meet the different engineering design …

The free vibration analysis of functionally graded beams (FGBs) and frameworks containing
FGBs is carried out by applying the dynamic stiffness method and deriving the elements of …

Free vibration of axially inhomogeneous beams is analyzed. For exponentially graded
beams with various end conditions, characteristic equations are derived in closed form …

This paper deals with the large amplitude vibration, nonlinear bending and thermal
postbuckling of functionally graded material (FGM) beams resting on an elastic foundation in …

Model of the FGM beams is first put forward by using on physical neutral surface and high-
order shear deformation theory. Nonlinear von Kármán strain–displacement relationships …

In this paper, thermo-mechanical buckling and nonlinear free vibration analysis of
functionally graded (FG) beams on nonlinear elastic foundation are investigated. Nonlinear …

This work addresses a free vibration analysis of functionally graded beams via several
axiomatic refined theories. The material properties of the beam are assumed to vary …

Thermal post-buckling and nonlinear vibration behaviors of FGM beams are analyzed by
using concept of physical neutral surface, von Kármán strain-displacement relationships and …

Large amplitude free vibration analysis is carried out on axially functionally graded (AFG)
tapered slender beams under different boundary conditions. The problem is addressed in …

The state space approach is used to provide analytical solution for fundamental frequency
analysis of functionally graded sandwich beams. The classical beam theory, first-order and …