2 results listed
In this paper, a refined exponential shear deformation theory for free vibration analysis of functionally
graded beam with considering porosities that may possibly occur inside the functionally graded materials (FGMs)
during their fabrication. For this purpose, a new displacement field based on refined shear deformation theory is
implemented. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero
traction boundary conditions on the surfaces of the beam without using shear correction factors. Based on the
present refined shear deformation beam theory, the equations of motion are derived from Hamilton’s principle.
The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity
phases. The accuracy of the present solutions is verified by comparing the obtained results with the existing
solutions. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction,
aspect ratios, and thickness to length ratios on the free vibration of the FG beams.
International Symposium on Light Alloys and Composite Materials
UHAKS
Latifa Ould Larbi
Lazreg HADJI
Nafissa Zouatnia
Kada DRAICHE
This study deals with free vibrations analysis of nanocomposite beams with stretching effect reinforced
by single-walled carbon nanotubes (SWCNTs) resting on an elastic foundation. The SWCNTs are assumed to be
aligned and straight with a uniform layout. Four different carbon nanotubes (CNTs) distributions including
uniform and three types of functionally graded distributions of CNTs through the thickness are considered. The
rule of mixture is used to describe the effective material properties of the nanocomposite beams. The governing
equations are derived through using Hamilton’s principle and then solved by using the Navier solution. Natural
frequencies are obtained for nanocomposite beams. Effects of several parameters, such as nanotube volume
fraction, foundation stiffness parameters, slenderness ratios and CNTs distribution on both natural frequency are
investigated. The results indicate that the above-mentioned parameters play a very important role on the free
vibrations characteristics of the beam.
International Symposium on Light Alloys and Composite Materials
UHAKS
Lazreg Hadji
Nafissa Zouatnia
Kada DRAICHE