International Journal for Numerical Methods in Engineering · 1978 · 30 citations · 6 references
Fictitious ForcesEngineeringStructural DynamicsMechanical EngineeringNonlinear VibrationsStructural OptimizationComputational MechanicsIncremental DisplacementsStructural EngineeringStructural DynamicKinematicsNew ProcedureDeformation ModelingReference FrameTotal DisplacementsAerospace EngineeringMechanical SystemsStructural AnalysisStructural Mechanics
Abstract A new procedure is presented for the analysis of geometrically non‐linear frame structures. It assumes small strains and uses ‘fictitious forces’ based on the rotation from the initial configuration. The procedure also uses total displacements rather than incremental displacements. The procedure is valid for rotation up to 180 degrees and converges in a relatively small number of iterations.
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Theory of matrix structural analysis
M. Petyt · Journal of Sound and Vibration · 1969 · 1.2K citations