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Öğe Combined effects of elastic foundations and shear stresses on the stability behavior of functionally graded truncated conical shells subjected to uniform external pressures(Elsevier Sci Ltd, 2016) Sofiyev, A. H.; Kuruoglu, N.According to the framework of the Donnell's shell theory the stability behavior of functionally graded (FG) truncated conical shell interacting with two-parameter elastic foundations within the shear deformation theory (SDT) is investigated. The major goal of this research was to obtain a closed form of the solution for critical external pressures associated with the problem outlined above. The basic equations of FG truncated conical shell shells subjected to the external pressures are derived within the SDT. By using the Galerkin method to resulting basic equations are obtained the expressions for critical hydrostatic and lateral pressures of FG truncated conical shell interacting with two-parameter elastic foundations within the SDT. In particular, similar expressions within the classical shell theory (CST) are obtained, also. Comparison the current results and those available in the literature demonstrates the availability and accuracy of solutions. Finally, the calculation and presentation of the effects of many parameters included in the analysis conclude the goals to be reached in the study. (C) 2016 Elsevier Ltd. All rights reserved.Öğe Combined effects of transverse shear stresses and nonlinear elastic foundations on the nonlinear dynamic response of heterogeneous orthotropic cylindrical shells(Elsevier Sci Ltd, 2017) Sofiyev, A. H.; Kuruoglu, N.The present work aims to provide a detailed study regarding the nonlinear dynamic response of heterogeneous (HT) orthotropic cylinders resting on the nonlinear elastic foundations. The problem is formulated on the basis of the shear deformation theory (SDT) using von Karman type geometric nonlinearity in the framework of the Donnell's shell theory. Material properties of the cylinders vary continuously in the thickness direction according to the exponential-law distribution. Nonlinear ordinary differential equation is obtained with the use of superposition and Galerkin methods and solved applying the homotopy perturbation method (HPM). The validity of the present method is demonstrated by comparing the present results with existing results in the literature in the limit cases. Numerical simulations are performed to discuss the influences of the nonlinear elastic foundations, vibration amplitude, shear stresses, heterogeneity and cylinder characteristics on the nonlinear frequency parameters. (C) 2017 Elsevier Ltd. All rights reserved.Öğe The stability of FGM truncated conical shells under combined axial and external mechanical loads in the framework of the shear deformation theory(Elsevier Sci Ltd, 2016) Sofiyev, A. H.; Kuruoglu, N.The major goal of this research was to obtain a closed form of the solution for critical combined loads (combined effects of the axial load and 1 lateral pressure or the axial load and hydrostatic pressure) of functionally graded (FG) truncated conical shell in the framework of the shear deformation theory (SDT). The basic equations of FG truncated conical shell shells subjected to the combined loads are derived in the framework of the SDT. By using the Galerkin method to basic equations are obtained the expressions for critical combined loads of FG truncated conical shell in the framework of the SDT. In particular, similar expressions in the framework of the classical shell theory (CST) are obtained, also. Our numerical experiments reveal that the proposed solution may offer accurate critical combined loads for the FGM shells as compared with reference solutions available in the literature. Finally, the calculation and presentation of the effects of many parameters included in the analysis conclude the goals to be reached in the study. (C) 2016 Elsevier Ltd. All rights reserved.
