||Exact three-dimensional stability and free vibration analyses of
simply-supported, multilayered functionally graded material (FGM) circular hollow
cylinders and laminated composite ones under axial compression are presented.
The material properties of each FGM layer are assumed to obey a power-law
distribution of the volume fractions of constituents through the thickness coordinate.
The Pagano method, which is based on the principle of virtual displacement
and is conventionally used for the analysis of laminated composite structures, is
modified to be feasible for the study of multilayered FGM cylinders, in which
Reissner's mixed variational theorem, the successive approximation and transfer
matrix methods, and the transformed real-valued solutions of the system equations
are used. The present modified Pagano solutions for laminated composite cylinders
are in excellent agreement with the exact 3D ones available in the literature,
and those for sandwich FGM cylinders may be used as the benchmark solutions
to assess the ones obtained using various two-dimensional theories and numerical
models. The influence of some effects on the lowest critical load parameters of
multilayered FGM cylinders and laminated composite ones is investigated, such as
the derivation between using von Karman nonlinearity and full kinematic one, and
the difference between using the uniform stress assumption and the uniform strain
one. In addition, a parametric study with regard to some effects on the lowest frequency
parameters of axially loaded, multilayered FGM cylinders is carried out,
such as the magnitude of the applied compressive loads, the radius-to-thickness,
length-to-radius and orthotropic ratios, and the material-property gradient index.