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Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures

Alessandra Vizzaccaro, Yichang Shen, Loïc Salles, Jiří Blahoš, Cyril Touzé

2021Computer Methods in Applied Mechanics and Engineering96 citationsDOIOpen Access PDF

Topics & Concepts

Nonlinear systemFinite element methodMathematicsMathematical analysisComputationInvariant (physics)A priori and a posterioriSubspace topologyNormal modeTimoshenko beam theoryControl theory (sociology)Applied mathematicsVibrationAlgorithmPhysicsComputer scienceControl (management)ThermodynamicsMathematical physicsQuantum mechanicsEpistemologyArtificial intelligencePhilosophyBladed Disk Vibration DynamicsVibration and Dynamic AnalysisStructural Health Monitoring Techniques
Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures | Litcius