Buckling behavior of a radially loaded corrugated orthotropic thin-elliptic cylindrical shell on an elastic foundation

Ahmed, Mousa Khalifa

doi:10.1016/j.tws.2016.06.006

Cited by 8 publications

(5 citation statements)

References 33 publications

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“…In order to elaborate a quantitative description of the effective shape transformations of the corrugated shells, such parameters related to the mechanical properties of the folded sheets as shear or normal stresses and strains are examined [42,43]. The effect of these transformations is to be such a state of equilibrium in which the effort of each shell fold is going to be the smallest possible and the work of the internal forces is balanced out [44].…”

Section: The Concept Of the Researchmentioning

confidence: 99%

“…The above dependencies were obtained by means of the experimental tests on the experimental stand [14,20,42] (see Figure 6). They made it possible to configurate the elaborated thin-walled FEM computer models [23] (Figures 14 and 15) used in computer simulations whose results are presented in the next section.…”

Section: Geometric Characteristics Of the Transformed Folded Roof Shellsmentioning

confidence: 99%

“…Based on the experimental studies carried out in the Rzeszow University of Technology hall [19,42], there was elaborated a diagram composed of curves corresponding to various profiles, representing relations between the normal stresses acting orthogonally to the directions of the longitudinal axes and α j unit twist angle of a shell fold (Figure 21). The curves presented in Figure 22 and corresponding to various profiles express the relations between the σ xx normal stresses acting along the longitudinal axes of the shell folds and α j unit angle of these folds.…”

Section: Mechanical Properties Of the Transformed Folded Roof Shellsmentioning

confidence: 99%

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Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs

Abramczyk

2021

Materials

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This article provides a novel insight into specific properties of flat folded sheets transformed elastically into building roof shells. Elastic twist transformations of the sheets resulting from the arrangement of the sheets on two skew roof directrices cause changes in the geometric and mechanical sheet properties of the roof shell sheeting composed of these sheets. Regular smooth-ruled surfaces and their characteristic lines are used in the analysis of changes in the geometric properties. In the analysis of the mechanical changes, the constitutive relations and complex state of stresses are considered. The analysis is carried out on the basis of the results of the experimental tests and FEM computer simulations. They have led to the development of such a method of shaping of the effectively transformed folded covers that ensures the initial effort of each shell fold to be the smallest possible.

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Section: The Concept Of the Researchmentioning

confidence: 99%

Section: Geometric Characteristics Of the Transformed Folded Roof Shellsmentioning

confidence: 99%

Section: Mechanical Properties Of the Transformed Folded Roof Shellsmentioning

confidence: 99%

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Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs

Abramczyk

2021

Materials

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“…Ghazijahani et al [28] presented experimental results on the buckling behavior of corrugated cylindrical shells and cylindrical shells stiffened by corrugated rings under a uniform peripheral pressure. Ahmed [29] developed a simply analytical approach for investigating the linear buckling behavior of a cosine corrugated elliptic cylindrical shell subjected to external pressure and surrounded by an elastic foundation. Additionally, Xiong et al [30] presented a fabrication process and experimental results of mechanical responses of carbon fiber composite core-corrugated sandwich cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

et al. 2020

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This paper presents a semi-analytical approach for investigating the nonlinear buckling and postbuckling of spiral corrugated sandwich functionally graded (FGM) cylindrical shells under external pressure and surrounded by a two-parameter elastic foundation based on Donnell shell theory. The improved homogenization theory for the spiral corrugated FGM structure is applied and the geometrical nonlinearity in a von Karman sense is taken into account. The nonlinear equilibrium equation system can be solved by using the Galerkin method with the three-term solution form of deflection. An explicit solution form for the nonlinear buckling behavior of shells is obtained. The critical buckling pressure and the postbuckling strength of shells are numerically investigated. Additionally, the effects of spiral corrugation in enhancing the nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells are validated and discussed.

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“…[5] concentrated on presenting a reliable and accurate method for free vibration of functionally graded viscoelastic cylindrical panel under various boundary conditions. Based on 3D elasticity theory, Norouzi and Alibeigloo [6] carried out thermoviscoelastic analysis of FGM cylindrical panel under thermal and/or mechanical load, while Ahmed [7] investigated how the corrugation parameters and the Winkler foundation affect the buckling behavior of isotropic and orthotropic thin-elliptic cylindrical shells with cosine-shaped meridian subjected to radial loads. Quan et al.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic response and vibration of imperfect eccentrically stiffened sandwich third-order shear deformable FGM cylindrical panels in thermal environments

Duc

Ngo

Tran

et al. 2017

Jnl of Sandwich Structures & Materials

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This study follows an analytical approach to investigate the nonlinear dynamic response and vibration of eccentrically stiffened sandwich functionally graded material (FGM) cylindrical panels with metal–ceramic layers on elastic foundations in thermal environments. It is assumed that the FGM cylindrical panel is reinforced by the eccentrically longitudinal and transversal stiffeners and subjected to mechanical and thermal loads. The material properties are assumed to be temperature dependent and graded in the thickness direction according to a simple power law distribution. Based on the Reddy’s third-order shear deformation shell theory, the motion and compatibility equations are derived taking into account geometrical nonlinearity and Pasternak-type elastic foundations. The outstanding feature of this study is that both FGM cylindrical panel and stiffeners are assumed to be deformed in the presence of temperature. Explicit relation of deflection–time curves and frequencies of FGM cylindrical panel are determined by applying stress function, Galerkin method and fourth-order Runge-Kutta method. The influences of material and geometrical parameters, elastic foundations and stiffeners on the nonlinear dynamic and vibration of the sandwich FGM panels are discussed in detail. The obtained results are validated by comparing with other results in the literature.

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Buckling behavior of a radially loaded corrugated orthotropic thin-elliptic cylindrical shell on an elastic foundation

Cited by 8 publications

References 33 publications

Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs

Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

Nonlinear dynamic response and vibration of imperfect eccentrically stiffened sandwich third-order shear deformable FGM cylindrical panels in thermal environments

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