Abstract: This research analysed the bending moment of rectangular thin plate having all edges simply supported. The analysis was accomplished through the development of the mathematical model for bending moment acting along X and Y-axis of a rectangular thin plate using the improved finite difference approach by the method of higher approximation. The improved finite difference model for bending moment was developed using Taylor’s series expression. The results obtained using the model for X and Y-axis was compared with the ordinary finite difference solution and the exact solution to check the accuracy of the newly developed model. The results emerging from the improved finite difference model for the X-axis showed an average percentage error of -0.048% to the exact solution while the result emerging from ordinary finite difference model showed -3.035% from the exact solution. The result of the improved finite difference for the Y-axis showed an average percentage error of -0.798% while the ordinary finite difference showed -0.912% to the exact solution. Hence the results suggest that the improved finite difference model approximated closely to the exact method than the ordinary finite difference; thus the improved finite difference model proved to be more accurate than the existing ordinary finite difference model. Therefore the improved finite difference model developed for bending moment is effective and is recommended for use in structural engineering.
Keywords: Improved Finite Difference, Taylor Series, Bending moment, Rectangular thin plate, Mathematical model, Convergence, Exact solution.
Title: BENDING MOMENT ANALYSIS OF RECTANGULAR THIN PLATE USING IMPROVED FINITE DIFFERENCE METHOD
Author: I.E Umeonyiagu, I.P Onyike
International Journal of Mechanical and Industrial Technology
ISSN 2348-7593 (Online)
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