Rigid Body Motion Kirchoff Parametric Rectangular Shell

Rigid body motion

This finite element model`s describtion 4 Node and per node`s local displacements [ux,vy,wz,Qx,Qy]respectively. Element shape function emanated to two different region. First region plane stress finite element motion,(membran effect). Second region: Kirchoff bending plate element motion. Per region depend to rigidy body motion workable the element`s geometric boundary conditions. This model if components 20 >=fo/h >=6 and (h/Rmin)<=1/20 than moment and force supply kinematic equilibrium equation else it`s not conservate. Nevertheless this model if kx=ky=kxy=0 than transformed bending plate moniton.(Example cantilever beam analysis). Element`s local axis per node total 5 d.o.f but global node 6. d.o.f. Element global axis curvature kgx,kgy, kgxy tranform local axis curvature kx,ky,kxy.This area kgxy=kxy=0 neglected because element is geometry symmetric.If kgxy or kxy different to zero than element shape function applied torsional curvature coefficient.