Journal ArticleDOI
Free vibration behavior of a thermally post-buckled FG Timoshenko beam under large deflection using a tangent stiffness-based method
Amlan Paul,Debabrata Das +1 more
TLDR
In this paper, the free vibration behavior of functionally graded (FG) Timoshenko beams is investigated for thermally postbuckled configurations through a geometrically nonlinear static problem.Abstract:
For thermally postbuckled configurations, the free vibration behavior of functionally graded (FG) Timoshenko beams are investigated. The postbuckling configurations are obtained through a geometrically nonlinear static problem. The free vibration problem around the postbuckled configuration is formulated using its tangent stiffness. The energy based governing equations are solved following the Ritz method. The elements of the tangent stiffness matrix are obtained using the Ritz coefficients. The results are shown to exhibit the effects of FG material, material profile parameter, and length-thickness ratio. The comparative results are presented for both the cases of the physical neutral surface and the geometrical neutral surface.read more
Citations
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Journal ArticleDOI
On the thermally induced non-linear response of functionally graded beams
TL;DR: In this paper, an analytical investigation on the thermally induced non-linear response of shear-deformable slightly curved beams made of functionally graded materials is presented, where the authors show that the temperature-dependent material properties of beam vary continuously along its thickness according to a power law and that the initial configuration of system can be considered as its equilibrium path before the onset of bifurcation.
Journal ArticleDOI
On boundary conditions for thermally loaded FG beams
TL;DR: In this article, the authors compared the simplified boundary conditions with the original boundary conditions to show the inaccuracy of simplified boundary condition-based analysis for thermal load analysis in a functionally graded extensible beam with uniform temperature rise and heat conduction across thickness.
Journal ArticleDOI
Thermal effect on vibrational behaviors of rotating functionally graded microbeams
TL;DR: In this article, the authors investigated the thermal effect on the size-dependent vibrational behavior of rotating microbeams made of functionally graded materials (FGMs) and found that the material properties of FGMs change smoothly through the thickness of the microbeam according to a power-law variation, while the axial nonlinear coupling deformation is taken into account to capture the centrifugal stiffening effect.
Journal ArticleDOI
Analytical method for free-damped vibration analysis of viscoelastic shear deformable annular plates made of functionally graded materials
TL;DR: In this article, the free vibrations behavior of viscoelastic functionally graded (VFGM) annular plates using the first-order shear deformation theory was studied. And the Zener three-parame...
Journal ArticleDOI
Imperfection sensitivity of free vibration of symmetrically/anti-symmetrically laminated FRC beams in thermally pre-and post-buckling equilibrium states
TL;DR: In this article, a modified higher-order shear deformation zig-zag beam model is applied for refined modeling of the laminated beams, and the Hamilton variational principle is utilized to obtain the governing equations of motion.
References
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Journal ArticleDOI
Thermomechanical analysis of functionally graded cylinders and plates
J. N. Reddy,C. D. Chin +1 more
TL;DR: In this paper, the dynamic thermoelastic response of functionally graded cylinders and plates is studied, and a finite element model of the formulation is developed, where the heat conduction and the thermo-elastic equations are solved for a functionally graded axisymmetric cylinder subjected to thermal loading.
Journal ArticleDOI
Free vibration characteristics of a functionally graded beam by finite element method
TL;DR: In this paper, the dynamic characteristics of functionally graded beam with material graduation in axially or transversally through the thickness based on the power law are presented. But the model is more effective for replacing the non-uniform geometrical beam with axially and transversely uniform geometrically graded beam.
Journal ArticleDOI
A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates
TL;DR: In this article, a hyperbolic shear deformation theory applicable to bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates is presented.
Journal ArticleDOI
Free vibration analysis of functionally graded beams with simply supported edges
Metin Aydogdu,Vedat Taskin +1 more
TL;DR: In this article, the free vibration of simply supported FG beam was investigated and the governing equations were found by applying Hamilton's principle, and different higher order shear deformation theories and classical beam theories were used in the analysis.
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