On accurate stress calculation in static and dynamic problems using the natural factor approach

DOI10.1016/0045-7825(79)90079-3zbMath0414.73066OpenAlexW2093541264MaRDI QIDQ599572

H.-P. Mlejnek, J. H. Argyris, Th. L. Johnsen

Publication date: 1979

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(79)90079-3

zbMATH Keywords

iterative procedureerror analysisdynamic analysisstaticdetermination of stressesdisplacement computationsnatural factor approachnumerically critical large scale problemsself-equilibrating loadsunsupported structures

Mathematics Subject Classification ID

Related Items (2)

On an unconventional but natural formation of a stiffness matrix ⋮ Large-scale geodetic least-squares adjustment by dissection and orthogonal decomposition

Cites Work

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• The natural factor formulation of the stiffness for the matrix displacement method
• On numerical error in the finite element method
• Linear systems with a large number of sparse constraints with applications to incompressible materials
• Dynamic analysis of large structural systems with local nonlinearities
• On systems of linear equations of the form \(A^tAx=b\); error analysis and certain consequences for structural applications
• A new method of stress calculation in the matrix displacement analysis
• Solving linear least squares problems by Gram-Schmidt orthogonalization

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