Finite element analysis of stiffened plates

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.

[1]  Gábor M. Vörös A special purpose element for shell-beam systems , 1988 .

[2]  Graham C. Archer,et al.  Development of rotationally consistent diagonal mass matrices for plate and beam elements , 2005 .

[3]  K. Bathe,et al.  A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation , 1985 .

[4]  Robert D. Cook,et al.  On the Allman triangle and a related quadrilateral element , 1986 .

[5]  Jiulong Sun,et al.  Tripping of thin-walled stiffeners in the axially compressed stiffened panel with lateral pressure , 2000 .

[6]  Gilbert Y. Grondin,et al.  Stiffened steel plates under uniaxial compression , 2002 .

[7]  Abdul Hamid Sheikh,et al.  Buckling and dynamic instability analysis of stiffened shell panels , 2006 .

[8]  Josip Brnić,et al.  Large rotation analysis of elastic thin-walled beam-type structures using ESA approach , 2003 .

[9]  Sung-Pil Chang,et al.  Spatial Postbuckling Analysis of Nonsymmetric Thin-Walled Frames. I: Theoretical Considerations Based on Semitangential Property , 2001 .

[10]  Sung-Pil Chang,et al.  Spatial postbuckling analysis of nonsymmetric thin-walled frames. II : Geometrically nonlinear Fe procedures , 2001 .

[12]  M. Mukhopadhyay,et al.  Free vibration analysis of stiffened shells by the finite element technique , 2004 .

[13]  Gábor M. Vörös,et al.  An improved formulation of space stiffeners , 2007 .

[14]  O. F. Hughes,et al.  Improved prediction of simultaneous local and overall buckling of stiffened panels , 2004 .

[15]  Eduardo N. DVORKINt SHORT COMMUNICATION MINDLIN/REISSNER PLATE THEORY AND A MIXED INTERPOLATION A FOUR-NODE PLATE BENDING ELEMENT BASED ON , 1985 .

[16]  J. Jirousek A family of variable section curved beam and thick-shell or membrane-stiffening isoparametric elements , 1981 .

[17]  M. Mukhopadhyay,et al.  A New Stiffened Plate Element for the Analysis of Arbitrary Plates , 2001 .