Bending Analysis Of Rectangular Plates Research Articles

Plane Stress Analysis of Simply Supported Rectangular Plates by The Nodal Line Finite Difference Method.(Dept.C)

The nodal line finite difference method developed earlier by the author has been successfully applied to bending analysis of rectangular plates. In the present work, the method is extended to solve plane stress problems of rectangular plates. The analysis deals with the in-plane displacements and requires the solution of two simultaneous second-order partial differential equations. These equations are transformed into two simultaneous ordinary differential equations which in turns are cast in two simultaneous nodal line difference equations. Numerical results obtained by the finite strip method and this indicates the applicability and the power of the present technique.

Responses to “Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach”

Responses to “Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach”

Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach

The symplectic geometry approach is introduced for accurate bending analysis of rectangular thin plates with two adjacent edges free and the others clamped or simply supported. The basic equations for rectangular plates are first transferred into Hamilton canonical equations. Using the symplectic approach, the analytic solution of rectangular thin plate with two adjacent edges simply supported and the others slidingly supported is derived. Accurate bending solutions of title problems are then obtained using the superposition method. The approach used in this paper eliminates the need to pre-determine the deformation function and is hence more reasonable than conventional methods. Numerical results are presented to demonstrate the validity and efficiency of the approach as compared with those reported in other literatures.

BENDING ANALYSIS OF RECTANGULAR PLATES WITH VARIABLE THICKNESS

BENDING ANALYSIS OF RECTANGULAR PLATES WITH VARIABLE THICKNESS

Semi-numerical analysis of rectangular plates in bending

Bending analysis of rectangular plates is proposed using a combination of basic functions and finite difference energy technique. The basic function satisfying the boundary conditions along the two opposite edges of the plate is substituted in the integral expression for the total potential energy of the plate thereby reducing a two dimensional functional into an unidirectional one. The discretized form of the total potential energy of the plate expressed as a functional of the displacement field is obtained by replacing the derivatives by the corresponding difference quotient. Using the principle of minimum potential energy a set of algebraic equations is obtained which is subsequently solved for unknown displacements. Examples have been presented for a variety of isotropic and orthotropic plates of rectangular plan-form with different edge conditions and loadings. Results have been compared with other numerical results and available analytical solutions.