Displaying similar documents to “Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation”

Bending analysis of laminated SWCNT Reinforced functionally graded plate Using FEM

Shivaji G. Chavan, Achchhe Lal (2017)

Curved and Layered Structures

Similarity:

In this paper presents bending characteristic of multi-layered carbon nanotube reinforced functionally graded composite plates. The finite element implementation of bending analysis of laminated composite plate via well-established higher order shear deformation theory(HSDT). A seven degree of freedom and C0 continuity finite element model using nine noded isoperimetric elements is developed for precise computation of ply-by-ply deflection and stresses of laminated Single Wall Carbon...

Free vibration of functionally graded parabolic and circular panels with general boundary conditions

Hong Zhang, Dongyan Shi, Qingshan Wang, Bin Qin (2017)

Curved and Layered Structures

Similarity:

The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to consider the effects of the transverse shear and rotary inertia of the panel structures. The functionally graded panel structures consist of ceramic and metal which are assumed to vary continuously through the thickness according to the power-law distribution,...

Modeling of vibration for functionally graded beams

Gülsemay Yiğit, Ali Şahin, Mustafa Bayram (2016)

Open Mathematics

Similarity:

In this study, a vibration problem of Euler-Bernoulli beam manufactured with Functionally Graded Material (FGM), which is modelled by fourth-order partial differential equations with variable coefficients, is examined by using the Adomian Decomposition Method (ADM).The method is one of the useful and powerful methods which can be easily applied to linear and nonlinear initial and boundary value problems. As to functionally graded materials, they are composites mixed by two or more materials...

Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique

Kadir Mercan, Çiğdem Demir, Ömer Civalek (2016)

Curved and Layered Structures

Similarity:

In the present manuscript, free vibration response of circular cylindrical shells with functionally graded material (FGM) is investigated. The method of discrete singular convolution (DSC) is used for numerical solution of the related governing equation of motion of FGM cylindrical shell. The constitutive relations are based on the Love’s first approximation shell theory. The material properties are graded in the thickness direction according to a volume fraction power law indexes. Frequency...

Energy methods for curved composite beams with partial shear interaction

István Ecsedi, Ákos József Lengyel (2015)

Curved and Layered Structures

Similarity:

This paper presents a derivation of the Rayleigh- Betti reciprocity relation for layered curved composite beams with interlayer slip. The principle of minimum of potential energy is also formulated for two-layer curved composite beams and its applications are illustrated by numerical examples. The solution of the presented problems are obtained by the Ritz method. The applications of the Rayleigh-Betti reciprocity relation proven are illustrated by some examples.