Rigid Body Motion Kirchoff Parametric Rectangular Shell

Rigid body motion

Description

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.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Parametric Rectangular Reissner-Mindlin Curved Shell FEMs

• MATLAB release: MATLAB 6.5 (R13)
• Other requirements: Maxima-GPL (Methematical symbolic program)