Розглянуто можливість застосування нерівно-мірних сіток для сплайнів з метою підвищення точності чисельного розвязку крайових задач про напружено-деформований стан прямокутних пластин. Наведено результати розрахунків на основі класичної та уточненої теорії для разніх видів навантаження.
The paper presents an attempt to enhance the accuracy of spline collocation/discrete orthogonalization methods used for stress-strain state analysis of rectangular isotropic plates. Numerical solutions using regular and irregular spline grid for two different load distribution options in accordance with classic and refined plate theory were compared with known analytical one for simply supported boundary conditions. The solution of the problem obtained by the expansion of the deflection function in a Fourier series meant as an accurate. The calculation results show significant dependence of the accuracy on load distribution over the surface in case of irregular spline grid. In general, the knots placement optimization allows achieving considerable decrease in relative error of the numerical solution without requiring thickening splines mesh. Additionally comments on the restrictions due to the presence of the boundary conditions for splines are given. This narrow&s the applicability of the proposed approach for very small grids.
