Nonlinear Normal Modes of Strongly Nonlinear Periodically Excited Piecewise Linear Systems

DOI10.1007/s10958-017-3522-1zbMath1363.70025OpenAlexW2748393162MaRDI QIDQ2831349

K. V. Avramov, B. Uspensky

Publication date: 2 November 2016

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3522-1

zbMATH Keywords

nonlinear normal modeRausher technique

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Normal forms for nonlinear problems in mechanics (70K45) Nonlinear modes (70K75)

Cites Work

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• Dynamics of a piecewise linear system subjected to a saturation constraint
• A NEW GALERKIN-BASED APPROACH FOR ACCURATE NON-LINEAR NORMAL MODES THROUGH INVARIANT MANIFOLDS
• The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation

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