Program for calculation of a deflection of a uniform loaded square plate using Gauss-Seidel method for solution of Poisson differential equation | Zendy

Jana Lipkovski | Zendy; Davorin Penava | Zendy

Open Access

Program for calculation of a deflection of a uniform loaded square plate using Gauss-Seidel method for solution of Poisson differential equation

Author(s) -

Jana Lipkovski,

Davorin Penava

Publication year - 2008

Publication title -

facta universitatis - series architecture and civil engineering

Language(s) - English

Resource type - Journals

eISSN - 2406-0860

pISSN - 0354-4605

DOI - 10.2298/fuace0802199l

Subject(s) - poisson's equation , deflection (physics) , gauss , mathematics , poisson distribution , square (algebra) , mathematical analysis , differential equation , poisson's ratio , grid , gauss–seidel method , geometry , iterative method , mathematical optimization , physics , classical mechanics , quantum mechanics , statistics

In this work we will consider a simply supported square plate of side L that is subjected to a load q per unit area. The deflection w in the z-direction is the solution of the Poisson differential equation. For simplicity, we suppose that the loading is uniform so that q is constant. The program is written for computing the deflections w at a set of points with n intervals along each side of the square plate. In this case, we employ a program that uses the Gauss-Seidel method to approximate the solution of Poisson's equation. The program is written for kmax applications through all interior grid points

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