Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators
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Publication:5160737
DOI10.1098/rspa.2019.0042zbMath1472.70043OpenAlexW2966778555WikidataQ90169179 ScholiaQ90169179MaRDI QIDQ5160737
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6735485
nonlinear oscillatorsnormal formapplied mathematicsnonlinear resonancestructural engineeringreduced ordermechanical engineeringbackbone curves
Related Items (2)
Reduced order models for geometrically nonlinear structures: assessment of implicit condensation in comparison with invariant manifold approach ⋮ Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures
Cites Work
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- An Upper bound for validity limits of asymptotic analytical approaches based on normal form theory
- Nonlinear vibration with control. For flexible and adaptive structures
- Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
- Reduced-order models for large-amplitude vibrations of shells including in-plane inertia
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Infinite-dimensional dynamical systems in mechanics and physics
- Experimental validation of reduction methods for nonlinear vibrations of distributed-parameter systems: Analysis of a buckled beam
- Free oscillations in conservative and dissipative symmetric cubic two-degree-of-freedom systems with closed natural frequencies
- Comparing the direct normal form and multiple scales methods through frequency detuning
- Bifurcations of backbone curves for systems of coupled nonlinear two mass oscillator
- A new formulation for the existence and calculation of nonlinear normal modes
- The use of normal forms for analysing nonlinear mechanical vibrations
- Applying the method of normal forms to second-order nonlinear vibration problems
- Snake-Like Locomotions of Multilink Mechanisms
- Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems
- Identifying the significance of nonlinear normal modes
- Normal Forms and Unfoldings for Local Dynamical Systems
- Recipes for Continuation
- Out-of-unison resonance in weakly nonlinear coupled oscillators
- Methods for dimension reduction and their application in nonlinear dynamics
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