GENERAL ANALYTIC SOLUTION FOR ELASTIC BENDING OF REISSNER PLATES

In this paper, by developing the complex Fourier series method to solv e the boundary value problem of a system of partial differential equat ions with constant coefficients, for the first time a general analytic solution satisfying an arbitrary boundary condition is presented for the elastic bending of thick Reissner plates in engineering. The solut ion is simple and convenient to programming. Analysis and computation are performed for the uniformly loaded plates under two different supp orting conditions (four simply supported edges or three clamped and on e free edges), the results of which are fairly satisfactory in compari son with those available for reference. And at the same time the analy tic solution has been investigated mainly in three aspects: a) speed o f convergence; b) reliability (rationality); c) fitting of boundary co nditions.