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vol. 125
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issue 2
459-461
EN
In the present study a theoretical analysis is presented for determining the stability characteristics of clamped non-homogeneous shells on the elastic foundation subjected to the lateral pressure. The basic equations have been derived for the shell, the Young modulus of which varies exponentially in the thickness direction and rests on the elastic foundation. By applying the Galerkin method to the basic equations, the expressions for the critical lateral pressure of the non-homogeneous shell with or without an elastic foundation are obtained. Finally, the effects of the non-homogeneity, elastic foundation and shell characteristics on the critical lateral pressure have been studied.
EN
In this study, the buckling analysis of layered cylindrical shells with functionally graded material face sheets subjected to an axial compressive load is investigated. The dimensionless axial buckling load of layered cylindrical shells with functionally graded material face sheets is obtained. Effects of volume fractions of functionally graded material face sheets and cylindrical shell characteristics on the dimensionless axial buckling load have been studied.
EN
In this study, the torsional stability problem of non-homogeneous orthotropic composite cylindrical shells in the elastic medium, using the Galerkin method was investigated. The Winkler model is used to describe the reaction of the elastic medium on the cylindrical shell. Mixed boundary conditions are considered. The effects of variations of shell parameters, non-homogeneity, orthotropy and foundation stiffness on the critical torsional load are examined.
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vol. 125
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issue 2
192-194
EN
In this study, the non-linear stability of three-layered conical shells with functionally graded core have not been investigated previously. The purpose of this paper is to study this problem. The large deflection theory with von Karman-Donnell-type of kinematic non-linearity is used to deduce the basic equations. The basic equations are solved analytically by using superposition and Galerkin methods. The influences of several parameters on the dimensionless non-linear critical axial loads are discussed.
EN
In this study, the buckling of functionally graded (FG) orthotropic cylindrical shells with shear deformation subjected to a lateral pressure is discussed. The stability and compatibility equations for FG orthotropic cylindrical shells on the basis of first order shear deformation theory (FOSDT) are derived. The expressions for non-dimensional critical lateral pressure on the basis of FOSDT and classical shell theory (CST) are obtained. The parametric studies are carried out to investigate the influences of shear deformation, orthotropy and heterogeneity on the non-dimensional critical lateral pressure.
EN
In this study, the stability analysis of three-layered shells containing a functionally graded material layer in the surrounding medium and subjected to the uniform lateral pressure is investigated. The surrounding elastic medium is modeled as a Pasternak foundation. The dimensionless critical lateral pressures of three-layered functionally graded material shells with and without elastic foundations are obtained. Effects of compositional profiles and elastic foundation on the dimensionless critical lateral pressures have been studied.
EN
In this paper, the non-linear (NL) behavior of composite truncated conical shells subjected to dynamic loading is studied. The basic equations are derived using the von Karman-Donnell-type of kinematic nonlinearity. These equations are reduced to a NL differential equation with the variable coefficient using the superposition principle and Galerkin method. The resulting equation is solved numerically using Runge-Kutta method and modified Budiansky-Roth criterion and the values of dimensionless NL critical time parameters are obtained. Finally, the effects of axial loading speed and orthotropy on the dimensionless NL critical time parameters of composite truncated conical shells are investigated.
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