Analytic prediction of isolated forced response curves from spectral submanifolds

DOI10.1007/s11071-019-05023-4zbMath1430.70073arXiv1812.06664OpenAlexW2905414106MaRDI QIDQ2296648

T. Pedergnana, György Haller, Sten Ponsioen

Publication date: 18 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06664

zbMATH Keywords

model order reductionisolasspectral submanifoldsforced response curves

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Simulation of dynamical systems (37M05)

Related Items (2)

How do conservative backbone curves perturb into forced responses? A Melnikov function analysis ⋮ Stability of forced–damped response in mechanical systems from a Melnikov analysis

Uses Software

• COCO

Cites Work

• Rigorous model reduction for a damped-forced nonlinear beam model: an infinite-dimensional analysis
• Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction
• The parameterization method for invariant manifolds. III: Overview and applications
• On truncated Taylor series and the position of their spurious zeros
• Normal Modes for Non-Linear Vibratory Systems
• Normal Modes of Vibration for Non-Linear Continuous Systems
• The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
• The parameterization method for invariant manifolds II: regularity with respect to parameters
• Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems
• Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations
• Recipes for Continuation
• Novel Superfluids
• Averaging methods in nonlinear dynamical systems

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