This paper deals with the elastic buckling analysis of isolated plate panels, having all edges elastically restrained against torsion and loaded by uniaxial compressive forces. Despite of the classical solutions, the energy method is applied, regarding the plating as part of an infinitely wide stiffened panel, reinforced by longitudinal and transverse supporting members. A dedicated program is developed in MATLAB, to solve the eigenvalue problem derived by the energy method, after having developed the vertical displacement field into appropriate double sine trigonometric series. The convergence of solution is investigated and a new buckling formula, as function of stiffeners’ and transverse beams’ torque rigidities ratios, is derived by curve fitting of a large amount of data. To show the feasibility of the proposed formula, different stiffened panels under uniaxial compression are analyzed and the new formula is compared with the relevant results obtained by some FE eigenvalue buckling analyses, carried out by ANSYS. In all cases the new proposed expression estimates with good accuracy the elastic buckling strength of platings under uniaxial compression with all edges elastically restrained against torsion.

### Buckling of Uniaxially Compressed Plates With All Edges Elastically Restrained Against Torsion

#### Abstract

This paper deals with the elastic buckling analysis of isolated plate panels, having all edges elastically restrained against torsion and loaded by uniaxial compressive forces. Despite of the classical solutions, the energy method is applied, regarding the plating as part of an infinitely wide stiffened panel, reinforced by longitudinal and transverse supporting members. A dedicated program is developed in MATLAB, to solve the eigenvalue problem derived by the energy method, after having developed the vertical displacement field into appropriate double sine trigonometric series. The convergence of solution is investigated and a new buckling formula, as function of stiffeners’ and transverse beams’ torque rigidities ratios, is derived by curve fitting of a large amount of data. To show the feasibility of the proposed formula, different stiffened panels under uniaxial compression are analyzed and the new formula is compared with the relevant results obtained by some FE eigenvalue buckling analyses, carried out by ANSYS. In all cases the new proposed expression estimates with good accuracy the elastic buckling strength of platings under uniaxial compression with all edges elastically restrained against torsion.
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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/11367/36796`
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