ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1988 · 43 citations · 14 references
EngineeringStructural DynamicsMechanical EngineeringNonlinear VibrationsSemi‐numerical MethodNonlinear StructuresStructural OptimizationComputational MechanicsContinuum MechanicNonlinear Mechanical SystemLinear Elastic StructuresRefined Linear TheoriesElasticity (Physics)MechanicsUnified TreatmentStructural DynamicMaterial NonlinearitiesNonlinear ProblemsNonlinear ElasticitySolid MechanicsThin-walled StructureStructural MechanicsMechanics Of Materials
Abstract A semi‐numerical method for the solution of dynamic problems of linear and nonlinear structures is presented under the unifying aspect of sources of self‐stresses. Conceptually applications are possible to the Finite Element and the Boundary Element Method in time as well as in the frequency domain. In addition to physical nonlinearities of viscoplasticity also geometrically nonlinear problems are considered. Effects of refined linear theories are discussed.
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Dynamic Stability of Elastic Systems
V. V. Bolotin, Victor I. Weingarten, L. B. Greszczuk et al. · Journal of Applied Mechanics · 1965 · 821 citations · Full text