Model reduction of a cyclic symmetric structure exhibiting geometric nonlinearity with a normal form approach

DOI10.1016/j.euromechsol.2022.104822zbMath1504.74028OpenAlexW4304080895MaRDI QIDQ2102613

Fabrice Thouverez, Samuel Quaegebeur, Nicolas Di Palma, Benjamin Chouvion

Publication date: 29 November 2022

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2022.104822

zbMATH Keywords

stability analysisharmonic balance methodinternal resonancefrequency response functionbladed diskbifurcation trackingbranch switching algorithm

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• A harmonic-based method for computing the stability of periodic solutions of dynamical systems
• A reduction method for nonlinear structural dynamic analysis
• Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures
• Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction
• Practical bifurcation and stability analysis
• Dynamics of rotationally periodic structures
• Normal Modes of Vibration for Non-Linear Continuous Systems
• Elements of applied bifurcation theory
• Nonlinear dynamics of coupled oscillators in 1:2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect

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