On the stability of FGM shells subjected to combined loads with different edge conditions and resting on elastic foundations

Sofiyev, A.H.; Alizada, A. N.; Akın, Ömer; Valiyev, Ahmad; Avcar, Mehmet; Adiguzel, S.

doi:10.1007/s00707-011-0548-1

Cited by 23 publications

(5 citation statements)

References 34 publications

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“…In a cylindrical shell executing vibration. The expressions for surface strains e 1 , e 2 , and γ and the curvatures κ 1 , κ 2 , and τ from the relations (22), respectively, are substituted into (19), and the expression for strain energy is obtained as…”

Section: Advances In Acoustics and Vibrationmentioning

confidence: 99%

“…Sofiyev and Avear [18] investigated the stability of cylindrical shells that were composed of ceramic, FGM, and metal layers subjected to axial load and rested on Winkler-Pasternak foundations. Sofiyev et al [19] analyzed the stability of functionally graded cylindrical shells subjected to combined loads with different edge conditions and resting on elastic foundations.…”

Section: Introductionmentioning

confidence: 99%

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Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations

Shah¹,

Ali

Naeem

et al. 2012

Advances in Acoustics and Vibration

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Vibrations of a cylindrical shell composed of three layers of different materials resting on elastic foundations are studied out. This configuration is formed by three layers of material in thickness direction where the inner and outer layers are of isotropic materials and the middle is of functionally graded material. Love shell dynamical equations are considered to describe the vibration problem. The expressions for moduli of the Winkler and Pasternak foundations are combined with the shell dynamical equations. The wave propagation approach is used to solve the present shell problem. A number of comparisons of numerical results are performed to check the validity and accuracy of the present approach.

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Section: Advances In Acoustics and Vibrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations

Shah¹,

Ali

Naeem

et al. 2012

Advances in Acoustics and Vibration

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“…They further studied vibrations of symmetric and asymmetric composite shells using the first-order shear deformation theory. The stability of functionally graded truncated conical shells under a periodic impulsive loading, non-uniform lateral pressure and combined loads was investigated by Sofiyev [9] and Sofiyev et al [10] and [11]. The buckling of axially compressed conical and stiffened conical shells was studied by Spagnoli [12] and [13].…”

Section: Introductionmentioning

confidence: 99%

Buckling of Joined Composite Conical Shells Using Shear Deformation Theory under Axial Compression

Izadi

Shahrokh

Korayem

2019

SV-JME

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This paper investigates critical buckling loads in joined conical shells under axial compression. An analytical approach has been applied to study classical linear buckling of joined cones that are made of cross-ply fiber reinforced laminates. The governing equations have been extracted using first-order shear deformation theory (FSDT), and an analytical solution has been applied to extract critical buckling loads. Accordingly, the system of partial differential equations has been solved via separation of variables using Fourier expansion and power series method. The effects of the number of layers, lamination sequences, semi-vertex angles, shell thicknesses, shell lengths and boundary conditions on the stability of joined cones have been examined. For validation, the specific examples of the present study have been compared to previous studies. Using ABAQUSE/CAE software (a FEM-based software), the results of finite element have been extracted. The present method is in good agreement with the finite element and other research results. Finally, the differences in classical shell theory (CST) of Donnell type and first-order shear deformation theory have been discussed for different shell thicknesses.

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“…Many authors have focused their work on the influence of the geometrical structure of the multilayered composite [14][15][16]. Also, it have been considered different specific structures, as cylindrical [17,18], spherical [19,20] or truncated conical shell [21]. On the other hand, important studies have been developed in order to see the influence of the contact behavior in the interface of the components on the global properties of the composite [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Analysis of effective elastic properties for shell with complex geometrical shapes

Guinovart-Sanjuán

Vajravelu

Rodrı́guez-Ramos

et al. 2018

Composite Structures

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The manuscript offers a methodology to solve the local problem derived from the homogenization technique, considering composite materials with generalized periodicity and imperfect spring contact at the interface. The general expressions of the local problem for an anisotropic composite with perfect and imperfect contact at the interface are derived. The analytical solutions of the local problems are obtained by solving a system of partial differential equations. In order to validate the model, the effective properties of the structure presented in the literature are obtained as particular cases. The solution of the local problem is used to extend the study to more complex structures, such as, wavy laminates shell composites with imperfect spring type contact at the interface. Also, the results are compared with the results for perfect and imperfect contact models available in the literature.

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On the stability of FGM shells subjected to combined loads with different edge conditions and resting on elastic foundations

Cited by 23 publications

References 34 publications

Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations

Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations

Buckling of Joined Composite Conical Shells Using Shear Deformation Theory under Axial Compression

Analysis of effective elastic properties for shell with complex geometrical shapes

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