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High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically excited systems

Andrea Opreni, Alessandra Vizzaccaro, Cyril Touzé, Attilio Frangi

2022Nonlinear Dynamics45 citationsDOI

Topics & Concepts

Forcing (mathematics)Finite element methodNonlinear systemInvariant (physics)Parametric statisticsCantileverQuadratic equationMathematicsReduction (mathematics)VibrationControl theory (sociology)Mathematical analysisPhysicsComputer scienceStructural engineeringEngineeringGeometryMathematical physicsControl (management)Quantum mechanicsArtificial intelligenceStatisticsBladed Disk Vibration DynamicsVibration and Dynamic AnalysisStructural Health Monitoring Techniques
High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically excited systems | Litcius