An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates

Ovesy, H.R.; Ghannadpour, S.A.M.

doi:10.12989/sem.2009.31.2.181

Cited by 16 publications

(23 citation statements)

References 24 publications

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“…It is noted that the program is run on a standard Core 2 Dou 2.40 GHz PC. The results of the developed F-a FSM based on the FSDT in buckling phase as well as post-buckling region are compared with those of F-a FSM based on the CPT which are obtained by first two authors of this paper [18].…”

Section: Resultsmentioning

confidence: 99%

“…where the vector D [15][16][17][18], the Wittrick-Williams (W-W) algorithm is implemented in order to calculate the number of eigenvalues exceeded by any trial value of subjected force. However, this algorithm has been developed for analyzing the plates and plate structures based on the classical plate theory while in the present study the first order shear deformation plate theory is applied.…”

Section: Buckling Analysismentioning

confidence: 99%

“…Thus, in order to tackle this problem the intervals which are found based on the CPT in Ref. [18] have been updated. This is achieved by the knowledge that a thicker plate has a lower buckling coefficient.…”

Section: Buckling Analysismentioning

confidence: 99%

“…The developed semi-energy FSM (S-e FSM) has been applied to analyze the post-local-buckling behaviour of thin flat plates [12], open channel-section [13] and box section struts [14]. Ovesy and Ghannadpour [15][16][17][18] have developed a Full-analytical FSM (F-a FSM) based on CPT in which the Von-Karman's equilibrium equation is solved exactly and thus the buckling mode shapes and loads are obtained with very high accuracy. Then the first obtained mode shape is used in the postbuckling phase and the Von-Karman's compatibility equation is solved exactly to obtain the general form of in-plane displacement fields.…”

Section: Introductionmentioning

confidence: 99%

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

Ghannadpour

Ovesy

Zia-Dehkordi

2015

Computers & Structures

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Section: Resultsmentioning

confidence: 99%

Section: Buckling Analysismentioning

confidence: 99%

Section: Buckling Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Ghannadpour

Ovesy

Zia-Dehkordi

2015

Computers & Structures

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“…The above equation is a kind of generalized eigen-value problem that could be solved by appropriate solution schemes such as the inverse iteration procedure [27], which is implemented in the current paper, in order to find the lowest value of σ xx(cr) .…”

Section: Stress-strain Relationshipsmentioning

confidence: 99%

Buckling Analysis of Laminated Composite Plates Using Higher Order Semi—Analytical Finite Strip Method

2009

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Rectangular plates made of laminated composite material because of the advantageously high strength and stiffness to weight ratio are used frequently as structural component in various branches of engineering, chief of which are aerospace and marine engineering. Design concepts of these plates that lead to the increase in the buckling load can directly lower the structural cost and/or weight. The finite strip method is one of a number of procedures which can be used to solve the buckling problem of plate structures. In the present work the main concern is with the buckling behavior of plates with simply supported ends subjected to uni-axial pure compression loads. The solution is sought by implementing the higher order semi-analytical finite strip method which incorporates additional degrees of freedom for each nodal line by using Reddy's higher order plate theory. Therefore the current method is more universal in dealing with different plate thicknesses. In addition, in this semi-analytical finite strip method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. The solution is based on the concept of principle of minimum potential energy and an eigen-value analysis is subsequently carried out. From the presented results it can be concluded that the higher order semi-analytical finite strip method is very reliable for the preliminary design of composite plates especially in the case of buckling analysis of relatively thick plates.

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High accuracy postbuckling analysis of box section struts

2012

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This paper presents the theoretical developments of two finite strip methods (i.e. semi-analytical and full-analytical) for the post-buckling analysis of some box section struts. In the semi-analytical finite strip approach, all the displacements are postulated by the appropriate shape functions while in the development process of the full-analytical approach, the von-Kármán's equilibrium equation is solved exactly to obtain the buckling loads and the corresponding form of out-ofplane buckling deflection modes. The investigation of struts buckling behaviour is then extended to the post-buckling study with the assumption that the deflected form after the buckling is the combination of first, second and higher (if required) modes of buckling. Thus, the full-analytical post-buckling study is effectively a multi term analysis, which is attempted by utilizing the so-called semi-energy method. In this method the von-Kármán compatibility equation is used together with a consideration of the total strain energy of the strut. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficients in the assumed out-of-plane deflection function. The in-plane and out-of-plane deflection functions are substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficients. It is noted that the Classical Plate Theory (CPT) is applied throughout the theoretical developments. Through the comparison of the results and the appropriate discussion, the knowledge of the level of capability of these methods is significantly promoted.

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An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates

Cited by 16 publications

References 24 publications

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

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

Buckling Analysis of Laminated Composite Plates Using Higher Order Semi—Analytical Finite Strip Method

High accuracy postbuckling analysis of box section struts

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