Nonlinear Filtering for Random Signals in Statistically Unknown Noise

Abstract

resultants are plotted for various R/a ratios at 9 •= 0. Figure 4 shows that the tangential bending moment stress resultants along the hole diminish by roughly a factor of two for each added increment in the R/a ratio. To determine the accuracy of the results obtained, an error analysis was performed. First, a residue was calculated to see how well the boundary conditions (w and M) were satisfied at each of the fourteen points along the outer boundary. Then a measure of the maximum value of the error was found for the calculated deflections and bending moment stress resultants by taking the ratio of the value of deflection or radial bending moment stress resultants at the outer edge on 9 = 0, to their respective maximum values within the plate. The deflection and bending moment residues were of the order of 10 ~, while the values of the error ratios were of the order of 10~, indicating a high degree of accuracy.