Buckling and post-buckling behaviour of moderately thick plates using an exact finite strip

Ghannadpour, S.A.M.; Ovesy, H.R.; Zia-Dehkordi, E.

doi:10.1016/j.compstruc.2014.09.013

Cited by 25 publications

(8 citation statements)

References 20 publications

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“…The problem is governed by BVP given for SSCF plates as Equations (17), (18), (19) and (20), where Equation 17is the domain equation and Equations (18), (19) and (20) are the boundary conditions. The application of the one-dimensional finite sine integral transform to the governing domain equation converted the problem to an integral equation expressed as Equation (21). The sinusoidal kernel function of the transformation is found to satisfy all the Dirichlet boundary conditions along the simply supported edges x = 0 and x = a.…”

Section: Ivi Imposition Of Boundary Conditions For Ssss Platesmentioning

confidence: 99%

“…Some significant contributions to the research on plate stability are reported by: Gambhir [2], Bulson [3], Chajes [4], Timoshenko and Gere [5], Shi [8], Shi and Bezine [9], Ullah et al [10,11,12,13], Wang et al [14], Abodi [15], Yu [16], Abolghasemi et al [17], Xiang et al [18] and Bouazza et al [19] Contemporary research work on the plate stability problems have used various numerical methods such as the differential quadrature method (DQM), discrete singular convolution (DSC) method, harmonic differential quadrature method, ordinary finite difference method (FDM), meshfree method, generalized Galerkin method, finite strip method, B-spline finite strip method, exact finite strip method, hp-cloud method, modified Ishlinskii's solution method, meshless analog equation method, finite element method (FEM), extended Kantorovich method (EKM) and pb2-Ritz method. Very recent research work on the subject of plate stability using various numerical and analytical techniques have been reported by Lopatin and Morozov [20], Ghannadpour et al [21], Jafari and Azhari [22], Zureick [23], Seifi et al [24], Li et al [25], Wang et al [26], Mandal and Mishra [27], Shama [28], and Yao and Fujikubo [29].…”

Section: Introductionmentioning

confidence: 99%

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Elastic Buckling Analysis of SSCF and SSSS Rectangular Thin Plates using the Single Finite Fourier Sine Integral Transform Method

Onyia¹,

Rowland-Lato²,

Ike³

2020

International Journal of Engineering Research and Technology

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The analysis of the stability problem of plate subjected to inplane compressive load is important due to the relatively poor capacity of plates in resisting compressive forces compared to tensile forces. It is also significant due to the nonlinear, sudden nature of buckling failures. This study presents the elastic buckling analysis of SSCF and SSSS rectangular thin plates using the single finite Fourier sine integral transform method. The considered plate problems are (i) rectangular thin plate simply supported on two opposite edges, clamped on one edge and free on the fourth edge; (ii) rectangular thin plate simply supported on all edges. The plates are subject to uniaxial uniform compressive loads on the two simply supported edges. The governing domain equation is a fourth order partial differential equation (PDE). The problem solved is a boundary value problem (BVP) since the domain PDE is subject to the boundary conditions at the four edges. The single finite sine transform adopted automatically satisfies the Dirichlet boundary conditions along the simply supported edges. The transform converts the BVP to an integral equation, which simplifies upon use of the linearity properties and integration by parts to a system of homogeneous ordinary differential equations (ODEs) in terms of the transform of the unknown buckling deflection. The general solution of the system of ODEs is obtained using trial function methods. Enforcement of boundary conditions along the y = 0, and y = b edges (for the SSCF and SSSS plates considered) results in a system of four sets of homogeneous equations in terms of the integration constants. The characteristic buckling equation in each case considered is found for nontrivial solutions as a transcendental equation, whose roots are used to obtain the buckling loads for various values of the aspect ratio and for any buckling modes. In each considered case, the obtained buckling equation is exact and identical with exact expressions previously obtained in the literature using other solution methods. The buckling loads obtained by the present method are validated by the observed agreement with results obtained by previous researchers who used other methods.

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Section: Ivi Imposition Of Boundary Conditions For Ssss Platesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elastic Buckling Analysis of SSCF and SSSS Rectangular Thin Plates using the Single Finite Fourier Sine Integral Transform Method

Onyia¹,

Rowland-Lato²,

Ike³

2020

International Journal of Engineering Research and Technology

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“…3, where the steel coil can be regarded as an axisymmetric anisotropic body, that is, deformation and stress of the strip are irrelevant to the polar angle. Therefore, the equilibrium differential equation of the unit under the column coordinate can be expressed as [10,11] …”

Section: Geometric Equation and Equilibrium Differential Equation Of mentioning

confidence: 99%

Modelling the Dynamics and Secondary Deformation Behaviour of the Strip with Local Waves in Coiling Process

Sun¹,

Guan²,

Shao³

2016

Int. j. simul. model.

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With the introduction of 3D elastic-plastic deformation, and strip plastic flow factor concept, to analysis of the influence of strip local high points on the ridge-buckle behaviour in coiling process, an elastic-plastic coiling stress and ridge-buckle value model that can be used for online calculation was established. According to comparison and analysis of the influencing factors, uneven distribution of radial and circumferential stress caused by local waves is an important cause of strip ridge-buckle, and the ridge-buckle value increases with increases of local wave size, coil diameter and coiling tension, and significantly with decreases in the strip thickness. The influence of waves with different locations on the ridge-buckle value was analysed. Based on comparison of analysis results obtained by an elastic ridge-buckle value model and ANSYS FEM (finite element method), the accuracy and feasibility of this model have been proved, which will provide theoretical and model support for subsequent reduction of the ridge-buckle defects brought by local waves.

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“…Zhou et al [34] revisited the buckling analysis of a benchmark cylindrical panel undergoing snapthrough when subjected to transverse loads. Ghannadpour et al [35] presented an exact finite strip for the buckling and post-buckling analysis of moderately thick plates by using the First order Shear Deformation Theory. Kandasamy et al [36] studied the free vibration and thermal buckling behavior of moderately thick functionally graded material structures including plates, cylindrical panels, and shells under thermal environments.…”

Section: Introductionmentioning

confidence: 99%

Shape Optimization and Stability Analysis for Kiewitt Spherical Reticulated Shell of Triangular Pyramid System

Zhang

2019

Mathematical Problems in Engineering

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The Kiewitt spherical reticulated shell of triangular pyramid system is taken as the object of this study; a macroprogram of parametric modeling is developed by using the ANSYS Parametric Design Language. The minimum structural total weight is taken as the objective function, and a shape optimization program is proposed and compiled by adopting the sequence two-stage algorithm in FORTRAN environment. Then, the eigenvalue buckling analysis for Kiewitt spherical reticulated shell of triangular pyramid system is carried out with the span of 90 m and rise-span ratio of 1/7~1/3. On this basis, the whole nonlinear buckling process of the structure is researched by considering initial geometrical imperfection. The load-displacement curves are drawn, and the nonlinear behaviors of special nodes are analyzed. The structural nonlinear behaviors affected by rise-span ratio are discussed. Finally, the stability of reticulated shell before and after optimization is compared. The research results show that (1) users can easily get the required models only by inputting five parameters, i.e., the shell span (S), rise (F), latitudinal portions (Kn), radial loops (Nx), and thickness (T). (2) Under the conditions of different span and rise-span ratio, the optimal grid number and bar section for the Kiewitt spherical reticulated shell of triangular pyramid system existed after optimization; i.e., the structural total weight is the lightest. (3) The whole rigidity and stability of the Kiewitt spherical reticulated shell of triangular pyramid system are very nice, and the reticulated shell after optimization can still meet the stability requirement. (4) When conducting the reticulated shell design, the structural stability and carrying capacity can be improved by increasing the rise-span ratio or the rise. (5) From the perspective of stability, the rise-span ratio of the Kiewitt spherical reticulated shell of triangular pyramid system should not choose 1/7.

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Buckling and post-buckling behaviour of moderately thick plates using an exact finite strip

Cited by 25 publications

References 20 publications

Elastic Buckling Analysis of SSCF and SSSS Rectangular Thin Plates using the Single Finite Fourier Sine Integral Transform Method

Elastic Buckling Analysis of SSCF and SSSS Rectangular Thin Plates using the Single Finite Fourier Sine Integral Transform Method

Modelling the Dynamics and Secondary Deformation Behaviour of the Strip with Local Waves in Coiling Process

Shape Optimization and Stability Analysis for Kiewitt Spherical Reticulated Shell of Triangular Pyramid System

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