Journal ArticleDOI
Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities
Farzad Ebrahimi,Majid Zia +1 more
TLDR
In this paper, the large-amplitude nonlinear vibration characteristics of functionally graded (FG) Timoshenko beams made of porous material is investigated for the first time and the governing equations are derived based on Timoshenko beam theory through Hamilton's principle and they are solved utilizing both Galerkin's method and the method of multiple scales.About:
This article is published in Acta Astronautica.The article was published on 2015-11-01. It has received 145 citations till now. The article focuses on the topics: Timoshenko beam theory & Functionally graded material.read more
Citations
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Journal ArticleDOI
Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams
TL;DR: In this paper, the nonlinear free vibration and postbuckling behaviors of multilayer functionally graded (FG) porous nanocomposite beams that are made of metal foams reinforced by graphene platelets (GPLs) are investigated.
Journal ArticleDOI
Electro-mechanical vibration analysis of functionally graded piezoelectric porous plates in the translation state
TL;DR: In this paper, a modified power law formulation is employed to depict the material properties of the plates in the thickness direction, and three terms of inertial forces are taken into account due to the translation of plates.
Journal ArticleDOI
Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium
TL;DR: In this paper, the buckling response of higher-order shear deformable nanobeams made of functionally graded piezoelectric (FGP) materials embedded in an elastic foundation was investigated.
Journal ArticleDOI
New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations
TL;DR: In this article, a two-dimensional and quasi-three-dimensional shear deformation model is proposed to model the free vibration of FG plates resting on elastic foundations using a new shear strain shape function.
Journal ArticleDOI
Nonlinear vibration of axially functionally graded tapered microbeams
TL;DR: In this article, the size-dependent vibration of a non-uniform axially functionally graded (AFG) microbeam is studied and the results can be used in designation of many microstructures such as micro electro mechanical systems (MEMS), micro-actuators, etc.
References
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Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
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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Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories
TL;DR: In this article, the fundamental frequency analysis of functionally graded (FG) beams having different boundary conditions is analyzed within the framework of the classical, the first-order and different higher-order shear deformation beam theories.
An analytical method for free vibration analysis of functionally graded beams. Mater Des
TL;DR: In this article, a beam theory different from the traditional first-order shear deformation beam theory is used to analyze free vibration of functionally graded beams, where the beam properties are varied through the thickness following a simple power law distribution in terms of volume fraction of material constituents.
Journal ArticleDOI
Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities
TL;DR: In this article, the effects of material property distribution, spring constants and porosity volume fraction on linear and nonlinear frequencies of functionally graded materials (FGMs) beams with porosity phases were investigated.