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Integrated force method versus displacement method for finite element analysisA novel formulation termed the integrated force method (IFM) has been developed in recent years for analyzing structures. In this method all the internal forces are taken as independent variables, and the system equilibrium equations (EEs) are integrated with the global compatibility conditions (CCs) to form the governing set of equations. In IFM the CCs are obtained from the strain formulation of St. Venant, and no choices of redundant load systems have to be made, in constrast to the standard force method (SFM). This property of IFM allows the generation of the governing equation to be automated straightforwardly, as it is in the popular stiffness method (SM). In this report IFM and SM are compared relative to the structure of their respective equations, their conditioning, required solution methods, overall computational requirements, and convergence properties as these factors influence the accuracy of the results. Overall, this new version of the force method produces more accurate results than the stiffness method for comparable computational cost.
Document ID
19910043749
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Patnaik, S. N.
(NASA Lewis Research Center Cleveland, OH, United States)
Berke, L.
(NASA Lewis Research Center Cleveland, OH, United States)
Gallagher, R. H.
(Clarkson University Potsdam, NY, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1991
Publication Information
Publication: Computers and Structures
Volume: 38
Issue: 4, 19
ISSN: 0045-7949
Subject Category
Structural Mechanics
Accession Number
91A28372
Distribution Limits
Public
Copyright
Other

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