THE USE OF POLYNOMIAL SHAPE FUNCTION IN THE BUCKLING OF CCFC RECTANGULAR PLATE.

Ezeh J. C., Ibearugbulem O. M., Nwadike A. N., Maduh U. J.

Abstract: The use of polynomial series function in the buckling analysis of a CCFC is presented. The polynomial series shape function was truncated at the fifth orthogonal terms, which satisfied all the boundary conditions of the plate to obtain a peculiar shape function, which was applied in Ritz method. The peculiar shape function is substituted into the total potential energy functional, which was minimized, and the critical buckling load of the plate was obtained. The critical buckling load is a function of a coefficient, “K”. The values of K from earlier and the present studies were compared within the range of aspect ratios from 0.1 to 2.0. A graph of critical buckling load against aspect ratio was plotted. It was discovered that for aspect ratios of 0.4, 0.5 and 1.0, the critical buckling loads coefficients were 26.94, 17.39 and 4.83. It was also observed from the behavior of the graph that as aspect ratio increases from 0.1 to 2.0, the critical buckling load decreases.

Keywords: Total Potential Energy Functional, Shape Function, Polynomial Series Shape Function, Critical Buckling load, Boundary Condition, Ritz Method.

DOI: https://doi.org/10.15623/ijret.2013.0212111