Axial Symmetric Single Curved Rigid Body Motion Shell(Flügge&Conrad​)

In the development of curved shell finite element model`s it is convenient to use same coordinate system as the one used by Flügge and Conrad. Generally application are used x = r.Q cylindrical coordinat system for Donnell theory for cylindrical shells.This model has main theoricaly description is system total potential enegry second theorem.
This finite element model`s per unit node seven effect and this effects fx(radial Z axis),fy(tangential radial axis), fz (radial R axis) smilarly Mx,My bending moment ,Mz twisting moment ,Tau (Mz`s Buckling curvature coefficient) depent [u,v,w,Qx,Qy,Qz,T] respectively. Preliminary element shape function had discerned to parametric form. It is total constants 7*4=28 and boundary conditions workable to element geometrical position. This model smilarly under the symmetric load to axial symmetric curved f.e.m but this model different the other f.e.m has analysis to non axial symmetric load.