Optimal spatiotemporal reduced order modeling. II: Application to a nonlinear beam

DOI10.1007/S00466-012-0821-8zbMath1319.74030OpenAlexW2033859234MaRDI QIDQ356831

Peter J. Attar, Allen LaBryer, Prakash Vedula

Publication date: 26 July 2013

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-012-0821-8

zbMATH Keywords

optimal predictionreduced order modelingmultiscale modelingnonlinear beam dynamicssubgrid-scale dynamics

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (2)

Optimal spatiotemporal reduced order modeling. II: Application to a nonlinear beam ⋮ Optimal spatiotemporal reduced order modeling. I: Proposed framework

Cites Work

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• Optimal spatiotemporal reduced order modeling. II: Application to a nonlinear beam
• Optimal spatiotemporal reduced order modeling. I: Proposed framework
• Nonlinear flexural-flexural-torsional-extensional dynamics of beams. I: Formulation
• On necessary and sufficient conditions for chaos to occur in Duffing's equation: an Heuristic approach
• A nonlinear oscillator with a strange attractor
• An evaluation of the Lyapunov characteristic exponent of chaotic continuous systems
• Theoretically based optimal large-eddy simulation

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