Dynamic instability of stiffened plates subjected to non-uniform harmonic in-plane edge loading

The dynamic instability characteristics of stiffened plates subjected to in-plane partial and concentrated edge loadings are studied using finite element analysis. 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 method of Hill's infinite determinants is applied to determine the dynamic instability regions. Numerical results are presented to study the effects of various parameters, such as static load factor, aspect ratio, boundary conditions, stiffening scheme and load parameters on the principal instability regions of stiffened plates using Bolotin's method. The results show that location, size and number of stiffeners have a significant effect on the location of the boundaries of the principal instability region.

[1]  H. T. Belek,et al.  Dynamic stability of radially stiffened annular plates , 1991 .

[2]  M. Mukhopadhyay,et al.  Finite element free vibration of eccentrically stiffened plates , 1988 .

[3]  P. K. Datta,et al.  Parametric instability characteristics of rectangular plates subjected to localized edge loading (compression or tension) , 1995 .

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

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

[6]  Chung-Li Liao,et al.  Dynamic Stability Of Stiffened Laminated Composite Plates And Shells Subjected To In-Plane Pulsating Forces , 1994 .

[7]  Abdul Hamid Sheikh,et al.  Free Vibration Analysis Of Stiffened Plates With Arbitrary Planform By The General Spline Finite Strip Method , 1993 .

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

[9]  V. V. Bolotin,et al.  Dynamic Stability of Elastic Systems , 1965 .

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

[11]  K. S. Jagadish The dynamic stability of degenerate systems under parametric excitation , 1974 .

[12]  R. C. Duffield,et al.  Parametric resonance of stiffened rectangular plates , 1972 .

[13]  D. L. Prabhakara,et al.  Vibration and static stability characteristics of rectangular plates with a localized flaw , 1993 .

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

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

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

[17]  N. Willems,et al.  Parametric Resonance of Skew Stiffened Plates , 1973 .