Abstract: Based on the product rule of the Fourier series and some relevant results inreferences[1,2]. a method on solving the large deflection equations of plates and shells by means of the Fourier series is proposed in the present paper,Applying this method.we derive a type solution to the Navier’s solution of the nonlinear differential equations of the rectangular hyperboloidal shallow shells of the orthotropic compositessimply supported.This solution is suitable for plates and shells with large deflection orsmall deflection whether it is isotropic or orthotropic.Their data processing results are correlative with those found in the classical examples and from the experiments.

Key words: shallow shell, large deflection equations, analytic solution, numerical results, third grade fluid, Nusselt number, heat transfer, axisymmetric flow, porous disk, skin fric-tion coefficient