Difference equations in strength and stability problems of plates

Gabbasov, Radek

doi:10.1007/bf00883961

Cited by 2 publications

(1 citation statement)

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“…The difference equations of the method of successive approximations (MSA) are applied in [10][11][12][13] to the calculation of thin bending plates in the form that allows to take into consideration possible discontinuities: of the sought function, its derivatives, and the right-hand side of the initial differential equation.…”

Section: Introductionmentioning

confidence: 99%

Application of the successive approximation method to the analysis of bending plates

2018

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This work presents an algorithm for calculating the bending plates of medium thickness according to the Reissner’. To obtain numerical results, the method of successive approximations (MSA) is used. This method has high accuracy and fast convergence, which was confirmed by the solution of a range of tasks. Publication of the results of the calculation of plates of medium thickness with the boundary conditions revised here is supposed to be in the following articles.

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Section: Introductionmentioning

confidence: 99%

Application of the successive approximation method to the analysis of bending plates

2018

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

Youssoufa

Sali

Njifenjou

et al. 2021

Curved and Layered Structures

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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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Difference equations in strength and stability problems of plates

Cited by 2 publications

References 1 publication

Application of the successive approximation method to the analysis of bending plates

Application of the successive approximation method to the analysis of bending plates

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

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