International Journal for Numerical Methods in Engineering · 1971 · 83 citations · 9 references
EngineeringComputer EngineeringComputer ScienceComputational MechanicsStructural AnalysisStructural EngineeringDynamic Response AnalysisDynamic Structural ResponseNonlinear Structural AnalysisNonlinear Structural DynamicsRelaxation MethodsStructural Performance AnalysisComputational Structural DynamicsDynamic Structural AnalysisLinear Structural AnalysisNonlinear AnalysisNonlinear Structural ResponseNonlinear StructureStructural Dynamic Analysis
Abstract Dynamic relaxation, an iterative method for use with digital computers, is described and is shown to be suitable for the solution of a system of linear equations and in particular for such problems derived from structural frame analysis. It is further shown that the method may be modified to include non‐linear equations relating to these problems. Some specific examples of linear and non‐linear solutions are given and comparisons are made with another computer method which performs the same tasks.
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James H. Bramble, Richard S. Varga · Mathematics of Computation · 1963 · 4.2K citations
J R H OTTER, A C CASSELL, R E HOBBS · Proceedings of the Institution of Civil Engineers · 1966 · 84 citations