Vibration characteristics of functionally graded cylindrical shells under various boundary conditions

Pradhan, S.C.; Loy, C.T.; Lam, K.Y.; Reddy, J. N.

doi:10.1016/s0003-682x(99)00063-8

Cited by 394 publications

(142 citation statements)

References 18 publications

Supporting

Mentioning

133

Contrasting

Unclassified

Order By: Relevance

“…They concluded that the frequency characteristics were similar to those of homogeneous isotropic cylindrical shells and the frequencies were affected by the constituent volume fractions and the configurations of the constituent materials but they found the response of frequencies of FGM cylindrical shells for only simply supported boundary condition. This work was extended by Pradhan et al [19] by studying the vibration of FGM cylindrical shell for various boundary conditions. Arshad et al [20] [21] calculated natural frequencies of the FGM cylindrical shell by various volume fraction laws and under various boundary conditions respectively.…”

Section: Introductionmentioning

confidence: 91%

Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

Khan¹,

Arshad²,

Shah³

et al. 2014

WJM

View full text Add to dashboard Cite

In the present study, vibration analysis of a three-layered cylindrical shell is performed whose inner and outer layers are composed of functionally graded materials whereas the middle one is assumed to be of isotropic material. This formation of a cylindrical shell influences stiffness modulii and the resultant material properties. The shell problem is formulated from the constitutive relations of stresses and strains with the displacement deformations and they are taken from Love's thin shell theory. This problem is transformed into the integral form by evaluating the expressions for the strain and kinetic energies of the shell. Rayleigh-Ritz method is employed to solve the shell dynamic equations. Vibration characteristics of these cylindrical shells are investigated for a number of physical parameters and configurations of the fabrication of shells. The axial modal dependence is approximated by the characteristic beam functions that satisfy the boundary conditions. Results evaluated, show good agreement with the open literature.

show abstract

Section: Introductionmentioning

confidence: 91%

Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

Khan¹,

Arshad²,

Shah³

et al. 2014

WJM

View full text Add to dashboard Cite

show abstract

“…Vibration analyses are especially one of the main and critical considerations and thus should be given a high priority in designing cylindrical shell used in aerospace application. Numerous studies have been performed so far on the linear vibration of FG cylindrical shell considering the influence of different parameters such as the edge conditions, temperature rise and follower axial forces (Loy et al 1999, Pradhan et al 2000, Haddadpour et al 2007, Torki et al 2014. Vibration amplitudes of cylindrical shell may not, however, small enough to be accurately predicted by the linear analysis and thus the geometric nonlinearity should be accounted for.…”

Section: Saeed Mahmoudkhani Amentioning

confidence: 99%

Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells

Mahmoudkhani

2017

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

“…The vibration of FGM cylindrical structures has been studied by a number of researchers. Different studies on the vibration of cylindrical shells produced of a FGM, based on Love's and some other classical shell theories, have been performed and usually Rayleigh-Ritz and finite element methods, used for solving governing equations [2][3][4][5]. All of the previous discussed papers are focused on cylindrical shells, using the classical equations of thin shell theories, while the vibration behaviour of a thick walled cylinder is of considerable engineering importance.…”

Section: Introductionmentioning

confidence: 99%

Two Dimensional Functionally Graded Material Finite Thick Hollow Cylinder Axisymmetric Vibration Mode Shapes Analysis Based on Exact Elasticity Theory

Asgari¹

2015

Journal of Theoretical and Applied Mechanics

View full text Add to dashboard Cite

Abstract. A thick hollow cylinder with finite length made of twodimensional functionally graded material (2D-FGM) is considered and its natural modes are determined, based on great importance of mode shapes information in order to understand vibration behaviour of structures. Three dimensional theory of elasticity implemented for problem formulation, since mode shapes of a thick cylinder are three dimensional even with axisymmetric conditions. The axisymmetric conditions are assumed for the 2D-FGM cylinder. The material properties of the cylinder are varied in the radial and axial directions, with power law functions. Effects of volume fraction distribution on the different types of symmetric mode shapes configuration and vibration behaviour of a simply supported cylinder are analyzed. Three dimensional equations of motion are used and the eigen value problem is developed, based on direct variation method.

show abstract

Vibration characteristics of functionally graded cylindrical shells under various boundary conditions

Cited by 394 publications

References 18 publications

Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells

Two Dimensional Functionally Graded Material Finite Thick Hollow Cylinder Axisymmetric Vibration Mode Shapes Analysis Based on Exact Elasticity Theory

Contact Info

Product

Resources

About