Journal of Structural Engineering · 1983 · 101 citations · 9 references
EngineeringNumerical ProcedureElasticity (Physics)MechanicsDeformation ModelingMechanical EngineeringStructural AnalysisEulerian FormulationDeformation ReconstructionLarge Deformation AnalysisStructural OptimizationComputational MechanicsStructural MechanicsStructural LoadingMechanical DeformationShip Structural DesignMechanics Of MaterialsStructural Engineering
The paper presents a numerical procedure for large deformation analysis of elastic‑plastic frames. The method uses an Eulerian formulation extended to elastic‑plastic behavior, with beam‑column member force‑deformation relations accounting for axial strain and flexural bowing, and employs an incremental load approach with Newton‑Raphson iteration to satisfy joint equilibrium. Numerical solutions for three structures are presented and compared to previous results.
A numerical procedure for large deformation analysis of elastic‐plastic frames is presented. The procedure is based on an Eulerian formulation, which was developed initially for elastic systems and is extended herein to include elastic‐plastic effects. Local member force‐deformation relationships are based on the beam‐column approach and changes in member chord lengths due to axial strains and flexural bowing are taken into account. A computational technique for determining the nonlinear response is described in detail. The technique utilizes an incremental load approach with Newton‐Raphson iteration to satisfy joint equilibrium equations. Numerical solutions are presented for three structures and are compared to those reported by previous investigators.
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Tangent Stiffness in Plane Frames
Cenap Oran · Journal of the Structural Division · 1973 · 224 citations
Tangent Stiffness in Space Frames
Cenap Oran · Journal of the Structural Division · 1973 · 152 citations
Nonlinear Behavior of Structural Plane Frames
Saafan A. Saafan · Journal of the Structural Division · 1963 · 55 citations