Abstract: This paper studies mechanical buckling of
functionally graded beams subjected to axial compressive load that is
simply supported at both ends lies on a continuous elastic foundation.
The displacement field of beam is assumed based on Engesser-Timoshenko beam theory. Applying the Hamilton's principle, the
equilibrium equation is established. The influences of dimensionless geometrical parameter, functionally graded index and foundation
coefficient on the critical buckling load of beam are presented. To investigate the accuracy of the present analysis, a compression study
is carried out with a known data.
Abstract: Mechanical buckling analysis of rectangular plates
with central circular cutout is performed in this paper. The finiteelement
method is used to study the effects of plate-support
conditions, aspect ratio, and hole size on the mechanical buckling
strength of the perforated plates subjected to linearly varying loading.
Results show that increasing the hole size does not necessarily reduce
the mechanical buckling strength of the perforated plates. It is also
concluded that the clamped boundary condition increases the
mechanical buckling strength of the perforated plates more than the
simply-supported boundary condition and the free boundary
conditions enhance the mechanical buckling strength of the
perforated plates more effectively than the fixed boundary conditions.
Furthermore, for the bending cases, the critical buckling load of
perforated plates with free edges is less than perforated plates with
fixed edges.
Abstract: This paper presents the elastic buckling of
homogeneous beams with a pair of piezoelectric layers surface
bonded on both sides of the beams. The displacement field of beam is
assumed based on the Engesser-Timoshenko beam theory.
Applying the Hamilton's principle, the equilibrium equation is
established. The influences of applied voltage, dimensionless
geometrical parameter and piezoelectric thickness on the critical
buckling load of beam are presented. To investigate the accuracy of
the present analysis, a compression study is carried out with a known
data.
Abstract: This paper presents the buckling analysis of short and
long functionally graded cylindrical shells under thermal and
mechanical loads. The shell properties are assumed to vary
continuously from the inner surface to the outer surface of the shell.
The equilibrium and stability equations are derived using the total
potential energy equations, Euler equations and first order shear
deformation theory assumptions. The resulting equations are solved
for simply supported boundary conditions. The critical temperature
and pressure loads are calculated for both short and long cylindrical
shells. Comparison studies show the effects of functionally graded
index, loading type and shell geometry on critical buckling loads of
short and long functionally graded cylindrical shells.