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Buckling Analysis of SSSS Stiffened Rectangular Isotropic Plates using Work Principle Approach


 

The objective of this work is to present Elastic Buckling of Stiffened Rectangular Isotropic Plates using Work principle Approach. Stiffened plates possessing different aspect ratios, varying stiffness properties and varying number of stiffeners were analyzed for critical buckling loads using Work Principle approach. The present analysis was carried out only for uniaxially stiffened plate, where longitudinal stiffeners are presented parallel to inplane load of the plate. The governing differential equation for the stiffened plate system was obtained by super position principle. Polynomial functions were used in this study. Effects of the number of stiffeners, aspect ratios, boundary conditions, stiffener parameters upon the buckling coefficients, K of the stiffened plates were investigated. The results were obtained considering the bending displacements of the plate and the stiffener for all cases of edge conditions presented. Maximum percentage difference in buckling coefficients of SSSS stiffened plate for the case of one stiffener of present work with Reference works is 0.522%. For the case of two stiffeners, the maximum percentage differences in buckling coefficients recorded is 0.5247%, also for the case of three stiffeners maximum percentage difference is 1.239%. These differences revealed a good agreement with previous research works. In the structure modeling, the plate and the stiffeners were treated as a unit member.


Keywords

Stiffened plate, Buckling, Work principle, Governing differential equation, Shape function.
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  • Buckling Analysis of SSSS Stiffened Rectangular Isotropic Plates using Work Principle Approach

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Abstract


The objective of this work is to present Elastic Buckling of Stiffened Rectangular Isotropic Plates using Work principle Approach. Stiffened plates possessing different aspect ratios, varying stiffness properties and varying number of stiffeners were analyzed for critical buckling loads using Work Principle approach. The present analysis was carried out only for uniaxially stiffened plate, where longitudinal stiffeners are presented parallel to inplane load of the plate. The governing differential equation for the stiffened plate system was obtained by super position principle. Polynomial functions were used in this study. Effects of the number of stiffeners, aspect ratios, boundary conditions, stiffener parameters upon the buckling coefficients, K of the stiffened plates were investigated. The results were obtained considering the bending displacements of the plate and the stiffener for all cases of edge conditions presented. Maximum percentage difference in buckling coefficients of SSSS stiffened plate for the case of one stiffener of present work with Reference works is 0.522%. For the case of two stiffeners, the maximum percentage differences in buckling coefficients recorded is 0.5247%, also for the case of three stiffeners maximum percentage difference is 1.239%. These differences revealed a good agreement with previous research works. In the structure modeling, the plate and the stiffeners were treated as a unit member.


Keywords


Stiffened plate, Buckling, Work principle, Governing differential equation, Shape function.