The superposition method in the problem of bending of a thin isotropic plate clamped along the contour

In this work, the general solution of differential equation for bending a thin isotropic plate under action normal load applied to its plane is constructed by superposition method. The solutions obtained method initial functions in form trigonometric series are taken as two solutions, each which allows satisfying boundary conditions on opposite sides plate. Two ways clamped studied: expansion into Fourier and collocation It shown that both methods give same results sufficiently fast convergence at all points except small neighborhoods corner points. made it possible study behavior shear force Computational experiments have when keeping 390 terms solution, close zero, but not identically equal.