Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition

Kadoli, Ravikiran; Ganesan, N.

doi:10.1016/j.jsv.2005.02.034

Cited by 176 publications

(51 citation statements)

References 29 publications

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“…(5) and (6) are related to the mid-surface strains e x , e h , c xh , c hz , c xz , j x , j h , j xh [19], and the relations of mid-strain-displacement are defined as…”

Section: Governing Equations and Solving Methodsmentioning

confidence: 99%

Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells

Sheng

Wang

2010

Applied Mathematical Modelling

150

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a b s t r a c tThis paper presents the report of an investigation into thermoelastic vibration and buckling characteristics of the functionally graded piezoelectric cylindrical, where the functionally graded piezoelectric cylindrical shell is made from a piezoelectric material having gradient change along the thickness, such as piezoelectricity and dielectric coefficient et al. Here, utilizing Hamilton's principle and the Maxwell equation with a quadratic variation of the electric potential along the thickness direction of the cylindrical shells and the first-order shear deformation theory, and taking into account both the direct piezoelectric effect and the converse piezoelectric effect, the thermoelastic vibration and buckling characteristics of functionally graded piezoelectric cylindrical shells composed of BaTiO 3 /PZT À 4, BaTiO 3 /PZT À 5A and BaTiO 3 /PVDF are, respectively, calculated. The effects of material composition (volume fraction exponent), thermal loading, external voltage applied and shell geometry parameters on the free vibration characteristics are described, and the axial critical load, critical temperature and critical control voltage are obtained.

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“…(5) and (6) are related to the mid-surface strains e x , e h , c xh , c hz , c xz , j x , j h , j xh [19], and the relations of mid-strain-displacement are defined as…”

Section: Governing Equations and Solving Methodsmentioning

confidence: 99%

Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells

Sheng

Wang

2010

Applied Mathematical Modelling

150

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“…Zhi-Yuan and Hua-Ning (2007) studied free vibration characteristics of functionally graded cylindrical shells with holes using Kirchhoff Classical thin Plate Theory (CPT). On the other hand, Kadoli and Ganesan (2006) studied the buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition. In their analysis, the finite element equations based on the First order Shear Deformation Theory (FSDT) and the Plane Stress Assumption (PSA) were formulated.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics Analysis of FGM Shell Structures with a Higher Order Shear Strain Enhanced Solid-Shell Element

Hajlaoui

Triki

Frikha

et al. 2017

Lat. Am. j. solids struct.

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In this paper, non-linear dynamics analysis of functionally graded material (FGM) shell structures is investigated using the higher order solid-shell element based on the Enhanced Assumed Strain (EAS). With this element, a quadratic distribution of the shear stress through the thickness is considered in an enhancing part. Material properties of the shell structure are varied continuously in the thickness direction according to the general four-parameter power-law distribution in terms of the volume fractions of the constituents. Performance and accuracy of the present higher order solid-shell element are confirmed by comparing the numerical results obtained from finite element analyses with results from the literature.

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“…Kernel shape functions were used to approximate field variables and formulations based on the Ritz procedure which leads to a system of nonlinear discrete equations and overcomes the shortcomings of the conventional Rayleigh-Ritz method, in which it is difficult to choose appropriate global trial functions for problems with complicated boundary conditions. The linear thermal buckling and free vibration for functionally graded cylindrical shells subjected to a clamped-clamped boundary condition with temperature-dependent material properties were investigated by Kadoli and Ganesan [23]. The buckling behavior of FGM cylindrical shells subjected to pure bending load were taken into account by Huang et al [24].…”

Section: Introductionmentioning

confidence: 99%

Torsional buckling and post-buckling behavior of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium

2015

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The nonlinear buckling and post-buckling problems of functionally graded stiffened toroidal shell segments surrounded by an elastic medium under torsion based on an analytical approach are investigated. The rings and stringers are attached to the shell, and material properties of the shell are assumed to be continuously graded in the thickness direction. The classical shell theory with the geometrical nonlinearity in von Kármán sense and the smeared stiffeners technique are applied to establish theoretical formulations. The three-term approximate solution of deflection is chosen more correctly, and the explicit expression to find critical load and post-buckling torsional load-deflection curves is given. The effects of geometrical parameters and the effectiveness of stiffeners on the stability of the shell are investigated.

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Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition

Cited by 176 publications

References 29 publications

Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells

Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells

Nonlinear Dynamics Analysis of FGM Shell Structures with a Higher Order Shear Strain Enhanced Solid-Shell Element

Torsional buckling and post-buckling behavior of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium

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