Abstract
The paper presents the development of a new plate/shell stiffener element and the subsequent application in determine frequencies, mode shapes and buckling loads of different stiffened panels. In structural modelling, the plate and the stiffener are treated as separate finite elements where the displacement compatibility transformation takes into account the torsion - flexural coupling in the stiffener and the eccentricity of internal (contact) forces between the beam - plate/shell parts. The model becomes considerably more flexible due to this coupling technique. The development of the stiffener is based on a general beam theory, which includes the constraint torsional warping effect and the second order terms of finite rotations. Numerical tests are presented to demonstrate the importance of torsion warping constraints. As part of the validation of the results, complete shell finite element analyses were made for stiffened plates.
Highlights
Many engineering structures consist of stiffened thin plate and shell elements to improve the strength/weight ratio
Using the technique where stiffeners are modelled by beam finite elements, Jirousek [1] formulated a 4-node isoparametric beam element including transverse shear and Saint-Venant torsion effects
More recent studies on dynamic and buckling problems of stiffened plates and shells are available in [2]-[5]. It is a common feature of these finite element based methods that in order to attain displacement continuity, a rigid fictitious link is applied to connect one node in the plate element to the beam node shearing the same section
Summary
Many engineering structures consist of stiffened thin plate and shell elements to improve the strength/weight ratio. More recent studies on dynamic and buckling problems of stiffened plates and shells are available in [2]-[5] It is a common feature of these finite element based methods that in order to attain displacement continuity, a rigid fictitious link is applied to connect one node in the plate element to the beam node shearing the same section. This approach neglects the out-of-plane warping displacements of the beam section and, in such cases, the usual formulation overestimates the stiffener torsional rigidity. In order to maintain displacement compatibility between the beam and the stiffened element, a special transformation is used, which includes the coupling of torsional and bending rotations and the eccentricity of internal forces between the stiffener and the plate elements
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