Analysis of stiffened membranes by the finite element method

A survey for the different variational principles and their corresponding finite element model formulations is given. New triangular finite elements for the analysis of stiffened panels are suggested. The derivation of the stiffness matrix for these elements is based on the hybrid stress model. The...

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Bibliographic Details
Main Author: ABDEL-DAYEM, LAILA HASSAN.
Other Authors: Kamel
Language:en
Published: The University of Arizona. 1983
Subjects:
Online Access:http://hdl.handle.net/10150/187292
Description
Summary:A survey for the different variational principles and their corresponding finite element model formulations is given. New triangular finite elements for the analysis of stiffened panels are suggested. The derivation of the stiffness matrix for these elements is based on the hybrid stress model. The boundary deflections for these elements are assumed linear. These elements are different in two aspects, the degree of the internal stress polynomials and the number and location of the stiffeners. Numerical studies are carried out and results are compared to the theoretical solutions given by Kuhn as well as to results of the compatible model. Convergence of the stress in stiffeners to the actual solution through mesh refinement is studied. Jumps in the stiffener stresses given by the new elements exist. The use of special Lagrangian elements at the interelement boundaries to eliminate some of these jumps is studied.