Buckling and vibration of stiffened plates subjected to partial edge loading

The buckling and vibration characteristics of stiffened plates subjected to in-plane partial and concentrated edge loadings are studied using finite element method. The initial stresses are obtained considering the pre-buckling conditions. Buckling loads and vibration frequencies are determined for different plate aspect ratios, edge conditions and different partial non-uniform edge loading cases. The non-uniform loading may also be caused due to the supports on the edges. The analysis presented determines the stresses all over the region for different kinds of loading and edge conditions. In the structural modelling, the plate and the stiffeners are treated as separate elements where the compatibility between these two types of elements is maintained. The vibration characteristics are discussed and the results are compared with those available in the literature. Buckling results show that the stiffened plate is less susceptible to buckling for position of loading near the supported edges and near the position of stiffeners as well.

[1]  W. R. Dean,et al.  The effect of two isolated forces on the elastic stability of a flat rectangular plate , 1937, Mathematical Proceedings of the Cambridge Philosophical Society.

[2]  M. Mukhopadhyay,et al.  Finite element buckling analysis of stiffened plates , 1990 .

[3]  Arthur W. Leissa,et al.  Vibration and buckling of a simply supported rectangular plate subjected to a pair of in-plane concentrated forces , 1988 .

[4]  H. Saunders.  Book Reviews : The Finite Element Method (Revised): O.C. Zienkiewicz McGraw-Hill Book Co., New York, New York , 1980 .

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

[6]  S. M. Dickinson,et al.  Vibration and buckling calculations for rectangular plates subject to complicated in-plane stress distributions by using numerical integration in a rayleigh-ritz analysis , 1981 .

[7]  Christopher J. Brown.  Elastic stability of plates subjected to concentrated loads , 1989 .

[8]  Gajbir Singh,et al.  Buckling of moderately thick rectangular composite plates subjected to partial edge compression , 1998 .

[10]  S. F. Bassily,et al.  Buckling and lateral vibration of rectangular plates subject to inplane loads-a Ritz approach , 1972 .

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

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

[13]  S. Kukla,et al.  FREE VIBRATION OF A RECTANGULAR PLATE LOADED BY A NON-UNIFORM IN-PLANE FORCE , 1995 .

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

[15]  A C Walker,et al.  BUCKLING OF PLATES SUBJECTED TO LOCALIZED EDGE LOADING , 1972 .

[16]  G. Baker,et al.  Elastic Stability of Simply Supported Rectangular Plates Under Locally Distributed Edge Forces , 1982 .

[17]  T. Y. Yang,et al.  FREE VIBRATIONS OF FINITE ELEMENT PLATES SUBJECTED TO COMPLEX MIDDLE PLANE FORCE SYSTEMS , 1972 .