Finite element buckling analysis of stiffened plates

Abstract An isoparametric stiffened plate bending element for the buckling analysis of stiffened plates has been presented. In the present approach, the stiffener can be positioned anywhere within the plate element and need not necessarily be placed on the nodal lines. The element, being isoparametric quadratic, can readily accommodate curved boundaries, laminated materials and transverse shear deformation. The formulation is applicable to thin as well as thick plates. The buckling loads for various rectangular and skew stiffened plates with varying skew angles and stiffness parameters have been indicated. The results show good agreement with those published.

[1]  R. B. Corr,et al.  A simultaneous iteration algorithm for symmetric eigenvalue problems , 1976 .

[2]  Michael D. Mathers,et al.  Buckling Analysis of Stiffened Plates and Shells , 1983 .

[3]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[4]  W. H. Wittrick.  Buckling of Oblique Plates with Clamped Edges under Uniform Compression , 1953 .

[5]  Paul Seide.  The effect of longitudinal stiffeners located on one side of a plate on the compressive buckling stress of the plate-stiffener combination , 1953 .

[6]  E. Hinton,et al.  A SIMPLE FINITE ELEMENT SOLUTION FOR PLATES OF HOMOGENOUS, SANDWICH AND CELLULAR CONSTRUCTION. , 1975 .

[7]  D. Dawe.  Application of the Discrete Element Method to the Buckling Analysis of Rectangular Plates under Arbitrary Membrane Loading , 1969 .

[8]  H. L. Cox,et al.  Buckling of a Longitudinally Stiffened Flat Panel , 1949 .

[9]  Abhijit Mukherjee,et al.  Finite element free vibration analysis of stiffened plates , 1986, The Aeronautical Journal (1968).

[10]  E. Hinton,et al.  A finite element method for the free vibration of plates allowing for transverse shear deformation , 1976 .

[11]  Y. Yoshimura,et al.  Buckling of Simply Supported Oblique Plates , 1963 .

[12]  G. H. Bryan,et al.  On the Stability of a Plane Plate under Thrusts in its own Plane, with Applications to the “Buckling” of the Sides of a Ship , 1890 .

[13]  Tomisaku Mizusawa,et al.  Buckling of skew plate structures using B‐spline functions , 1980 .

[14]  B. Shastry,et al.  Stability of stiffened plates using high precision finite elements , 1976 .

[15]  J. Z. Zhu,et al.  The finite element method , 1977 .