Finite Element Analysis of Translational Shells.
Civil engineering studies,
ILLINOIS UNIV URBANA DEPT OF CIVIL ENGINEERING
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A finite element procedure is presented for solving thin shell problems of arbitrary geometry and boundary conditions. The actual smoothly curved shell surface is approximated by the assemblage of flat triangular plate elements. Both the membrance stiffness and plate bending stiffness of the flat element are considered and it is assumed that there is no coupling between these two types of element stiffness properties. The element stiffness properties are derived from assumed displacement functions, and triangle area coordinates are used for the derivation. A quadratic displacement function for the tangential displacements in the triangular element is assumed and the membrance stiffness is derived according to this assumed displacement function. A complete fourth order displacement function is used to derive the flexural stiffness of the triangular element. Shell or plate which is supported by edge beams or is stiffened by stiffeners is discussed. The twisting and axial stiffnesses, the eccentricity and the bending stiffness of the beam element are all considered. Various numerical examples are presented. These examples demonstrate the versatility and the accuracy given by the finite element procedure presented in this study. Author
- Structural Engineering and Building Technology