Journal of Mechanical Design · 1981 · 16 citations · 0 references
Numerical AnalysisReduced Order ModelingEngineeringMechanical EngineeringStructural MechanicsStructural OptimizationComputational MechanicsChain-like StructuresLinear Chain CompoundIsogeometric AnalysisNumerical SimulationMatrix MethodBoundary Element MethodElastic SystemsNew SchemeMechanical ModelingIntermediate Active DegreesFinite Element MethodMechanical SystemsExact Condensation ProcedureStructural TopologyMultiscale Modeling
The main objective of this study is to describe a new scheme to carry out the static or dynamic analysis of elastic systems using a combined Finite Element-Transfer Matrix Approach. The proposed scheme offers the advantage of automatic matrix size reduction without having to truncate degrees of freedom, and preserving the strain and kinetic energy throughout the condensation. Although limited to chain-like elastic systems, the method is generalized to non-repetitive configurations with substructures having intermediate active degrees of freedom.