scholarly journals Comparison of calculation results of flexible plates on the basis of difference equations of successive approximation method and generalized equations of finite difference method

2020 ◽  
Vol 913 ◽  
pp. 022002
Author(s):  
Ngoc Khoa Dao ◽  
Radek Gabbasov ◽  
Thi Linh Quyen Hoang ◽  
Le Thuy Nguyen
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Successive Approximation ◽  
Difference Equations ◽  
Approximation Method ◽  
Difference Method ◽  
Successive Approximation Method ◽  
Generalized Equations ◽  
Flexible Plates ◽  
Calculation Results

scholarly journals Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation

2021 ◽  
Vol 9 (1) ◽  
pp. 54-64
Author(s):  
Seydou Youssoufa ◽  
Moussa Sali ◽  
Abdou Njifenjou ◽  
Nkongho Anyi Joseph ◽  
Ngayihi Abbe Claude Valery
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Variable Stiffness ◽  
Point Of View ◽  
Generalized Equations ◽  
Isotropic Plates ◽  
Second Derivatives ◽  
The Right ◽  
Good Agreement

Abstract The computation of bent isotropic plates, stretched and/or compressed, is a topic widely explored in the literature from both experimental and numerical point of view. We expose in this work an application of the generalized equations of Finite difference method to that topic. The strength of the proposed method is the ability to reconstruct the approximate solution with respect of eventual discontinuities involved in the investigated function as well as its first and second derivatives, including the right-hand side of the equilibrium equation. It is worth mentioning that by opposition to finite element methods our method needs neither fictitious points nor a special condensation of grid. Well-known benchmarks are used in this work to illustrate the efficiency of our numerical and the high accuracy of calculation as well. A comparison of our results with those available in the literature also shows good agreement.

An Improved Finite Difference Method Applied to Thin Shells

1971 ◽  
Vol 93 (4) ◽  
pp. 1030-1036 ◽  
Author(s):  
N. Nelson ◽  
A. Chang
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Equations ◽  
Difference Method ◽  
Higher Order ◽  
Thin Shells ◽  
Normal Forces ◽  
New Methods ◽  
Shell Equations

New methods of deriving more accurate difference equations are given. These are used to compute the stresses in thin shells. The governing shell equations are derived making the Donnell assumptions, so that unknowns are expressed in changes of curvatures and normal forces. These equations are then solved using improved finite difference formulas in which terms of higher order, compared to ordinary finite difference formulas, are taken into account. Several examples are given showing results comparable to other methods but using far fewer unknowns.

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