This paper deals with the bending problem of composite revolutional shells
under the action of distributed loading using a new approach, the non-ortho
gonal series method, i.e. NOSM. The formulation is based on the thin shell
theory of small strains. The basic equations are developed and can be expre
ssed in matrix form for composite revolutional shells. In general, because
of the anisotropic characteristics, there will be a coupling effect in the
boundary conditions, even including the axisymmetrical bending case. The no
n-orthogonal function series adopted showed very significant coupling effec
ts in such anisotropic and orthotropic revolutional shells. Finally, a comp
osite shallow spherical shell was investigated and the results show that th
e coupling effect at the boundary conditions makes the maximum displacement
smaller than in the case of no coupling.