BASIS OF A WELL CONDITIONED FORCE PROGRAM FOR EQUILIBRIUM MODELS VIA THE SOUTHWELL SLAB ANALOGIES.
Abstract
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. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1967
- Accession Number
- AD0652239
Entities
People
- Baudouin M. Fraeijs De Veubeke
Organizations
- University of Liège