Comparing Trigonometric and Conventional Finite Difference Approximations for Plate Buckling.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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Finite difference methods for plate buckling were investigated for various two-dimensional plates. The plates were clamped and simply supported. The rate of convergence to buckling coefficients, considering virtual work and equilibrium, have been compared. A trigonometric function based on long plate theory was incorporated into the finite difference approximations of the virtual work expression. Additional trigonometric parameters were also considered in the virtual work equation. Little difference in accuracy was found between results obtained from conventional polynomial virtual work versus the equilibrium approach. Noticeable improvement is obtained by using a trigonometric function long plate assumption in the virtual work expression.