Dynamic stability of stiffened plates with cutout subjected to harmonic in-plane partial edge loading

Abstract The dynamic instability characteristics of eccentrically stiffened plates with cutout subjected to harmonic in-plane partial edge loadings at the plate boundaries are studied using finite element method. The instability regions are determined for a wide range of excitation frequencies with different boundary condition, partial edge loading at different locations, cutout ratios and various parameters of stiffeners using Bolotin's method and Hill's infinite determinants by varying the number, size and location of the stiffeners. In the structural modeling, the plate and the stiffeners are treated as separate elements where the compatibility between these two types of elements is maintained.

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

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

[3]  A. Yettram,et al.  The elastic stability of square perforated plates under bi-axial loading , 1986 .

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

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

[6]  K. C. Hung,et al.  Orthogonal polynomials and sub-sectioning method for vibration of plates , 1990 .

[7]  G. V. Rao,et al.  Free vibration of longitudinally stiffened curved panels with cutout , 1999 .

[8]  James Rhodes,et al.  Buckling and Post-buckling Behaviour of Plates with Holes , 1975 .

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

[10]  Rama B. Bhat,et al.  Vibration Of Plates With Cut-Outs Using Boundary Characteristic Orthogonal Polynomial Functions In The Rayleigh-ritz Method , 1994 .

[11]  W. R. Dean On the Theory of Elastic Stability , 1925 .

[12]  R. Ali,et al.  Prediction of natural frequencies of vibration of rectangular plates with rectangular cutouts , 1980 .

[13]  K. C. Hung,et al.  Vibration study on plates with stiffened openings using orthogonal polynomials and partitioning method , 1990 .

[14]  Johnny M. Hutt,et al.  Dynamic Stability of Plates by Finite Elements , 1971 .

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

[16]  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 .

[17]  Siak Piang Lim,et al.  Prediction of natural frequencies of rectangular plates with rectangular cutouts , 1990 .

[18]  Abdul Hamid Sheikh,et al.  Dynamic instability of stiffened plates subjected to non-uniform harmonic in-plane edge loading , 2003 .

[19]  S. K. Sahu,et al.  PARAMETRIC INSTABILITY OF DOUBLY CURVED PANELS SUBJECTED TO NON-UNIFORM HARMONIC LOADING , 2001 .

[20]  Richard G. Redwood,et al.  Elasto-plastic shear buckling of square plates with circular holes , 1978 .

[21]  M. Mukhopadhyay Vibration and stability analysis of stiffened plates by semi-analytic finite difference method, Part I: Consideration of bending displacements only , 1989 .

[22]  Abdul Hamid Sheikh,et al.  VIBRATION AND DYNAMIC INSTABILITY OF STIFFENED PLATES SUBJECTED TO IN-PLANE HARMONIC EDGE LOADING , 2002 .

[23]  Abdul Hamid Sheikh,et al.  Buckling and vibration of stiffened plates subjected to partial edge loading , 2003 .

[24]  P. Paramasivam,et al.  Free vibrations of square plantes with stiffened square openings , 1973 .

[25]  G. Venkateswara Rao,et al.  FREE VIBRATION OF CURVED PANELS WITH CUTOUTS , 1997 .

[26]  P. Paramasivam,et al.  Free vibrations of rectangular plates of abruptly varying stiffnesses , 1969 .

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