Buckling of thick skew plates

The paper considers the elastic buckling of thick skew plates. Up to now, very little work has been done on this subject and the paper aspires to fill this gap. Based on the principle of stationary total potential energy and the recently developed pb‐2 Rayleigh‐Ritz method as a solution procedure, buckling solutions for skew plates of various aspect ratios, skew angles and boundary conditions are determined. The tabulation of these results, not available thus far, should be useful to designers and researchers who may use them as benchmark values to test the validity and convergence of their numerical techniques and softwares for thick plate analysis.

[1]  G. Venkateswara Rao,et al.  Post-buckling of linearly tapered, moderately thick circular plates by finite element method , 1986 .

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

[3]  G. Venkateswara Rao,et al.  Stability of moderately thick rectangular plates using a high precision triangular finite element , 1975 .

[4]  K. M. Liew,et al.  pb-2 Rayleigh- Ritz method for general plate analysis , 1993 .

[5]  S. T. Chow,et al.  Buckling of Shear-Deformable Plates , 1987 .

[6]  S. Srinivas,et al.  Buckling of thick rectangular plates. , 1969 .

[7]  H. Ziegler,et al.  The influence of inplane deformation on the buckling loads of isotropic elastic plates , 1983 .

[8]  P. C. Dumir Axisymmetric Postbuckling of Orthotropic Tapered Thick Annular Plates , 1985 .

[9]  Ernest Hinton,et al.  Numerical methods and software for dynamic analysis of plates and shells , 1988 .

[10]  A. Rao,et al.  Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates , 1970 .

[11]  D. J. Dawe,et al.  Rayleigh-Ritz vibration analysis of rectangular Mindlin plates subjected to membrane stresses , 1982 .

[12]  John W. Leonard,et al.  VIBRATION AND BUCKLING OF PLATES WITH MIXED BOUNDARY CONDITIONS , 1990 .

[13]  K. Liew,et al.  Buckling of rectangular mindlin plates with internal line supports , 1993 .

[14]  Hou-Cheng Huang,et al.  Static and Dynamic Analyses of Plates and Shells , 1989 .

[15]  K. M. Liew,et al.  Buckling of Skew Plates and Corner Condition for Simply Supported Edges , 1992 .