scholarly journals APPLICATION OF THE GENERALIZED EQUATIONS OF FINITE DIFFERENCE METHOD TO THE CALCULATION OF BENT PLATES OF LOCAL AND DISCONTINUOUS LOAD-INGS

2018 ◽  
Vol 3 (1) ◽  
pp. 56-60
Author(s):  
Наталия Уварова ◽  
Nataliya Uvarova ◽  
Евгений Парамонов ◽  
Evgeniy Paramonov
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Generalized Equations ◽  
Bent Plates

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.

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