Journal ArticleDOI
An analytical method for free vibration analysis of functionally graded beams with edge cracks
TLDR
In this article, an analytical method is proposed for solving the free vibration of cracked functionally graded material (FGM) beams with axial loading, rotary inertia and shear deformation.About:
This article is published in Journal of Sound and Vibration.The article was published on 2012-03-26. It has received 95 citations till now. The article focuses on the topics: Rotary inertia & Functionally graded material.read more
Citations
More filters
Journal ArticleDOI
Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories
Huu-Tai Thai,Thuc P. Vo +1 more
TL;DR: In this article, various higher-order shear deformation beam theories for bending and free vibration of functionally graded beams are developed, which have strong similarities with Euler-Bernoulli beam theory in some aspects such as equations of motion, boundary conditions and stress resultant expressions.
Journal ArticleDOI
A new simple shear and normal deformations theory for functionally graded beams
TL;DR: In this article, a simple and refined trigonometric higher-order beam theory is developed for bending and vibration of functionally graded beams, and the neutral surface position for such beams in which the material properties vary in the thickness direction is determined.
Journal ArticleDOI
Modeling and analysis of functionally graded sandwich beams: a review
TL;DR: In this paper, the authors proposed several modeling techniques and solution methods for sandwich beams and plates made of functionally graded (FG) materials, which are widely used in many engineering industries.
Journal ArticleDOI
Free vibration of two-directional functionally graded beams
TL;DR: In this paper, a theoretical analysis of free vibration of a functionally graded beam with variable material properties along the beam length and thickness is presented, where the authors assume that material properties vary through the length according to a simple power law distribution with an arbitrary power index.
Journal ArticleDOI
Free vibration analysis of functionally graded Bernoulli-Euler beams using an exact transfer matrix expression
Jung Woo Lee,Jung Youn Lee +1 more
TL;DR: In this paper, an exact transfer matrix method was developed to analyze the free vibration characteristics of a functionally graded beam, which can be used to produce the natural frequencies and mode shapes for such problems in which material properties such as the elastic modulus and density are assumed to vary continuously along the height direction of the beam cross-section depending on a power-law form.
References
More filters
Book
Elementary engineering fracture mechanics
D. Broek,James R. Rice +1 more
TL;DR: In this paper, the authors proposed a method to detect cracks in a crack-penetrization model, based on the Griffith criterion, which is used to detect the presence of a crack at a crack tip.
Journal ArticleDOI
Vibration of cracked structures: A state of the art review
TL;DR: In this paper, a crack in a structural member introduces a local flexibility that affects its vibration response, and the crack will open and close in time depending on the rotation and vibration amplitude.
Journal ArticleDOI
Vibration of functionally graded cylindrical shells
C.T. Loy,K.Y. Lam,J. N. Reddy +2 more
TL;DR: In this article, a study on the vibration of cylindrical shells made of a functionally gradient material (FGM) composed of stainless steel and nickel is presented, the objective is to study the natural frequencies, the influence of constituent volume fractions and the effects of configurations of the constituent materials on the frequencies.
Journal ArticleDOI
An elasticity solution for functionally graded beams
TL;DR: In this article, an elasticity solution for a functionally graded beam subjected to transverse loads is obtained, where Young's modulus of the beam is assumed to vary exponentially through the thickness, and the Poisson ratio is held constant.
Journal ArticleDOI
Three-dimensional exact solution for the vibration of functionally graded rectangular plates
Senthil S. Vel,Romesh C. Batra +1 more
TL;DR: In this paper, a three-dimensional exact solution for free and forced vibrations of simply supported functionally graded rectangular plates is presented, where suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series method.
Related Papers (5)
The Surface Crack Problem for a Plate With Functionally Graded Properties
Fazil Erdogan,B. H. Wu +1 more