An Integrated System for Finite Element Shell Analysis: Surface Representation and Curved Shell Element |
Common terms and phrases
analysis results approach approximation arbitrary shell B-spline curve basis functions bending moments bending strain cardinal spline cartesian coordinate system cartesian product Chapter circumferential control polygon corner nodes cubic curvature curved shell elements curvilinear coordinate cylinder defined deflection degrees of freedom direction displacement field element formulation element geometry element mesh element shell analysis evaluation Figure finite element analysis finite element method finite element shell flat elements implementation interactive interpolation scheme isoparametric lofting surface mathematical membrane strain Membrane Stress Resultants mid-side nodes middle surface natural strain nodal points normal displacement numerical obtained parametric space Pinched polygon present element present formulation Present study problems procedure rational polynomials rigid-body motion rotation second derivatives sectional curves segments shell structures shell surface shell theory siny solution Spherical Cap stiffness equations stiffness matrix strain energy substitute shape functions Surface Definition surface representation system three-dimensional three-dimensional space Torispherical total derivatives triangular coordinate αα