articleTop 10% cited
Large displacement analysis of three‐dimensional beam structures
International Journal for Numerical Methods in Engineering · 1979 · Vol. 14(7) · pp. 961–986
Klaus‐Jürgen Bathe✉(Massachusetts Institute of Technology)Saïd Bolourchi(Massachusetts Institute of Technology)
Abstract
Abstract An updated Lagrangian and a total Lagrangian formulation of a three‐dimensional beam element are presented for large displacement and large rotation analysis. It is shown that the two formulations yield identical element stiffness matrices and nodal point force vectors, and that the updated Lagragian formulation is computationally more effective. This formulation has been implemented and the resulted of some sample analyses are given.
Vibration and Dynamic AnalysisDynamics and Control of Mechanical SystemsStructural Health Monitoring TechniquesLagrangianDisplacement (psychology)StiffnessBeam (structure)Rotation (mathematics)Finite element methodPoint (geometry)MathematicsElement (criminal law)Geometry
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660
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10.63
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15
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Cited by
A beam finite element non‐linear theory with finite rotations
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References
Finite element formulations for large deformation dynamic analysis
International Journal for Numerical Methods in Engineering · 1975 · 829 citations
Numerical Methods in Finite Element Analysis.
Mathematics of Computation · 1977 · 2,046 citations
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