Analysis of eccentrically stiffened plates with mixed boundary conditions using differential quadrature method

Abstract Differential quadrature solution for the flexural analysis of eccentrically stiffened plates subjected to transverse uniform loads is presented. In-plane forces in the plate are considered to take into account the axial stiffness of the plate and the interaction between the beams and the plate due to the eccentricity. Torsional and shear stiffnesses of the beams are also considered. The analysis procedure presented can be used for: point loads applied at the corners of the plate segments; roller point supports at the corners of the plate segments; and outer edges having different combinations of boundary conditions, which includes, free, simply supported, clamped, or resting on beams. The method gives the same accuracy for the moments and shears as that for the deflections and is computationally efficient and simple to program. The results for single panels with complicated boundary conditions are compared with the available exact results. Two examples, one with central eccentric stiffener, and the other with two central mutually perpendicular stiffeners are analyzed and compared with the available results. An example of a plate with no stiffeners but with mixed boundary conditions is also analyzed and compared with the finite element results. All the results are close to the published results.

[1]  M. Pandey,et al.  Differential quadrature method in the buckling analysis of beams and composite plates , 1991 .

[2]  Faruk Civan,et al.  Differential quadrature for multi-dimensional problems , 1984 .

[3]  M. K. Lim,et al.  Deflection of plates with nonlinear boundary supports using generalized differential quadrature , 1994 .

[4]  M. Mukhopadhyay,et al.  Stiffened plate plane stress elements for the analysis of ships' structures , 1981 .

[5]  Numerical Simulation by the Quadrature and Cubature Methods , 1994 .

[6]  Charles W. Bert,et al.  Fundamental frequency analysis of single specially orthotropic, generally orthotropic and anisotropic rectangular layered plates by the differential quadrature method , 1993 .

[7]  Z. A. Siddiqi,et al.  ANALYSIS OF FLUID STORAGE TANKS INCLUDING FOUNDATION-SUPERSTRUCTURE INTERACTION USING DIFFERENTIAL QUADRATURE METHOD , 1997 .

[8]  M. Mukhopadhyay.  Stiffened plates in bending , 1994 .

[9]  Issam E. Harik,et al.  Finite element analysis of eccentrically stiffened plates in free vibration , 1993 .

[10]  Faruk Civan,et al.  Solving integro-differential equations by the quadrature method , 1986 .

[11]  Faruk Civan,et al.  Solving multivariable mathematical models by the quadrature and cubature methods , 1994 .

[12]  Charles W. Bert,et al.  Fundamental Frequency of Tapered Plates by Differential Quadrature , 1992 .

[13]  Shen Pengcheng,et al.  Static, vibration and stability analysis of stiffened plates using B spline functions , 1987 .

[14]  Mark P. Rossow,et al.  Constraint method analysis of stiffened plates , 1978 .

[15]  M. Mukhopadhyay,et al.  Analysis of stiffened plate with arbitrary planform by the general spline finite strip method , 1992 .

[16]  A. G. Striz,et al.  Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature , 1989 .

[17]  Anant R. Kukreti,et al.  Analysis Procedure for Ribbed and Grid Plate Systems Used for Bridge Decks , 1990 .

[18]  Nagesh R. Iyer,et al.  An efficient finite element model for static and vibration analysis of eccentrically stiffened plates/shells , 1992 .

[19]  Å. Björck,et al.  Solution of Vandermonde Systems of Equations , 1970 .

[20]  C. Bert,et al.  Application of differential quadrature to static analysis of structural components , 1989 .

[21]  A. Deb,et al.  Finite element models for stiffened plates under transverse loading , 1988 .

[22]  Hota V. S. GangaRao,et al.  MACROAPPROACH FOR RIBBED AND GRID PLATE SYSTEMS , 1975 .