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Basis Of A Well Conditioned Force Program For Equilibrium Models Via The Southwell Slab Analogies

Report Number: AFFDL TR 67-10
Author: de Veubeke, Baudouin M. Fraeijs
Corporate Author: Liege Univ (Belgium) Laboratoire D'aeronautique
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1967-03
Pages: 28
Contract: AF 61(052)-892
Project: 1467
Task: 146705
AD Number: AD0652239

Equilibrium models of finite elements have by definition the property of satisfying detailed equilibrium within the structure. Their usefullness lies in their ability to predict upper bounds to influence coefficients. The larger number of nodal displacements but the smaller number of selfstressing states, by comparison with displacement models, suggests the development of a force type program in preference to a stiffness program. The report shows how the Southwell slab analogies between displacement fields in conforming displacement models and stress functions in equilibrium models provide an efficient method for selecting force redundancies and particular equilibrium solutions. The method automatically reduces to a minimum the coupling between the unknowns.

Lockheed Martin Missiles & Fire Control
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