APPROXIMATE SOLUTION FOR BENDING OF RECTANGULAR PLATES—Kantorovich-Galerkin’s Method

This paper derives the cubic spline beam function from the generalized beamdifferential equation and obtains the solution of the discontinuous polynomial underconcentrated loads,concentrated moment and uniform distributed by using delta function.By means of Kantorovich method of the partial differential equation of elastic plates whichis transformed by the generalized function(δ function and σ function),whetherconcentrated load,concentratedmoment,uniform distributed load or small-square load canbe shown as the discontinuous polynomial deformed curve in the x-direction and the y-direction.We change the partial diffkerential equation into the ordinary equation by usingKantorovich method and then obtain a good approximate solution by using Glerkin’smethod.In this paper there are more calculation examples involving elastic plates withvarious bounndary-conditions,various loads and various section plates,and the classicaldifferential problems such as cantilever plates are shown.