Finite element formulation based on compatible, assumed displacement fields and the principle of stationary potential energy is applied to analyze edge-stiffened plates. Shear deformation is considered in the formulation of the plate bending and beam bending elements by allowing independent interpolation for displacements and rotations. In addition to bending deformation, plane stress action is superposed on the plate element, while torsion and axial deformation are incorporated in the beam element, so that structural interaction between plate and edge beam elements can be facilitated. By enforcing compatible displacements and rotations across the interface between plate and beam elements, the degrees-of-freedom in one element can be related to the degrees-of-freedom of the adjoining element of a different type. Accordingly, the stiffness matrix and equivalent load vector are transformed to correspond to the common degrees-of-freedom as a result of invariance of the potential energy. By means of the direct stiffness method, the global equilibrium equation is thus established and solved by a frontal solution subroutine. Special features are introduced into the solution subroutine in order to handle varying degrees-of-freedom per node in an element and multiple loading cases. In addition, the speed of input-output transfer between in-core and peripheral storage is optimized. Convergence studies on displacements and stresses show that the current formulation with the program is capable of analyzing shear-flexible structures. The formulation allows convergence of shear-rigid solutions as a limiting case by making use of the selective reduced integration scheme when formulating individual elements. Graphs are presented to aid the design of edge-stiffened plates with two adjacent edges clamped and others cast with intersecting edge beams.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/187844 |
| Date | January 1984 |
| Creators | WANG, CHING-JONG. |
| Contributors | DaDeppo, Donald A., Richard, R. M., Kamel, H. A., Simon, B. R., Kundu, T. |
| Publisher | The University of Arizona. |
| Source Sets | University of Arizona |
| Language | English |
| Detected Language | English |
| Type | text, Dissertation-Reproduction (electronic) |
| Rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. |
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