Vol. 6, No 2, 2008
pp. 199 - 205
UDC 624.073.1:624.042.3(045)=111
PROGRAM FOR CALCULATION OF A DEFLECTION
OF A UNIFORM LOADED SQUARE PLATE
USING GAUSS-SEIDEL METHOD FOR SOLUTION OF
POISSON DIFFERENTIAL EQUATION
Jana Lipkovski1, Davorin Penava2
1University of Belgrade, Faculty of
Civil Engineering, Serbia
2University of Osijek, Faculty of Civil
Engineering, Croatia
Abstract. 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.
Key words: Square plate, uniform
load, deflection, program, Poisson's equation, Gauss-Seidel method, grid
PROGRAM ZA PRORAČUN DEFORMACIJA
KVADRATNE PLOČE OPTEREĆENE JEDNAKOPODELJENIM OPTEREĆENJEM
POMOĆU GAUS-SAJDELOVE METODE ZA SLUČAJ POASONOVE DIFERENCIJALNE JEDNAČINE
U ovom radu se razmatra slobodno oslonjena kvadratna
ploča stranice L opterećena opterećenjem q prko cele površine. Pomeranje
w u z-pravcuje je rezultat poasonove diferencijalne jednačine. Pretpostavlja
se da je opterćenje q konstantno. Program je napisan za proračun pomeranja
w za skup tačaka u n intervalu duž svake strane kvadratne ploče. U tom
slučaju se koristi program sa Gaus-Sajdelovom metodom za aproksimaciju
Poasonove diferencijalne jednačine. Program je pisan za kmax za sve tačke
u unutrašnjoj mreži.
