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Representation of Shell Surfaces by Interactive Computer
An Interactive Computer Graphics System for Surface
A New Triangular Curved Shell Element
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analysis results applied approach approximation arbitrary shell B-spline curve basis functions bending moments bending strain cardinal spline cartesian coordinate system cartesian product Chapter configuration control polygon corner nodes cubic curvature curved shell elements curvilinear coordinate Cylindrical Shell Roof defined degrees of freedom derivative degrees 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 degrees nodal points normal displacement numerical obtained original curve parametric space polygon present element present formulation problems procedure rational polynomials rigid-body motion rotation second derivatives sectional curves segments shell geometry shell surface shell theory solution Spherical Cap stiffness equations stiffness matrix strain energy substitute shape functions Surface Definition surface representation system three-dimensional three-dimensional space tion Tori spherical total derivatives