Doubly Curved Shallow Shells with the Rectangular Bases Elastically Supported by Edge Arch Beams and Tie-Rods(Ⅰ)

The equations of equilibrium of shallow shells with rectangular base elastically supported with edge arched beams are obtained through the variational principle together with corresponding boundary conditions and corner conditions. It is assumed that edge arched beams are of narrow plate form, so that only the rigidities in their own planes are taken into consideration, torsional rigidities and bending rigidities out of their own planes are neglected.