Acceleration-Displacement Ratio Transform of Differentials for Transverse Plates and Constant Stiffness Buckling Solution

Abstract

The existing classical plate solution expands the load function in Fourier(trigonometric) series to be in tune with the partial differentials representing loading. In this presentation, constant point-wise values of the differentials are sought in conformity with constant rate of loading. Faster exact results are demonstrated by this new method  for both lateral loading and buckling. The subject is relevant for developing technologies on account of huge constructional works in office and apartment buildings, ships, oil pipe-lines, oil reservoirs and platforms ,beams-and-plates bridges and similar events. The method is shown to lead to buckling solutions by the constant initial elastic stiffness procedure , perhaps, for the first time.