This paper focuses on the elastic buckling of platings under pure shear, having the long edges rotationally restrained against torsion and the short ones simply supported. A new method, based on the minimum energy principle, is applied, regarding the isolated plating as part of an infinitely wide stiffened panel. The vertical displacement field is developed into double trigonometric series and, subsequently, the convergence of solution, in terms of buckling coefficients, is investigated, varying the number of harmonics in both long and short directions. A dedicated programme has been developed in MATLAB MathWorks and a new buckling formula, obtained by curve fitting of a large data amount, has been derived, as function of the longitudinal supporting members’ torque rigidity and the panel aspect ratio. Finally, to show the feasibility of the proposed formula, some test examples of various stiffened panels are proposed, in order to compare the new expression with the more exact values obtained by some eigenvalue buckling analyses, carried out by ANSYS.

Buckling of Platings with Long Edges Elastically Restrained Against Torsion Under Pure Shear

Abstract

This paper focuses on the elastic buckling of platings under pure shear, having the long edges rotationally restrained against torsion and the short ones simply supported. A new method, based on the minimum energy principle, is applied, regarding the isolated plating as part of an infinitely wide stiffened panel. The vertical displacement field is developed into double trigonometric series and, subsequently, the convergence of solution, in terms of buckling coefficients, is investigated, varying the number of harmonics in both long and short directions. A dedicated programme has been developed in MATLAB MathWorks and a new buckling formula, obtained by curve fitting of a large data amount, has been derived, as function of the longitudinal supporting members’ torque rigidity and the panel aspect ratio. Finally, to show the feasibility of the proposed formula, some test examples of various stiffened panels are proposed, in order to compare the new expression with the more exact values obtained by some eigenvalue buckling analyses, carried out by ANSYS.
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2012
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11367/36803`
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