Nonlinear normal modes and their application in structural dynamics

DOI10.1155/MPE/2006/10847zbMath1100.74030OpenAlexW2007323018MaRDI QIDQ2500861

Dongying Jiang, Steven W. Shaw, Christophe Pierre

Publication date: 28 August 2006

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52848

zbMATH Keywords

rotating beamGalerkin projection method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Conditions for the existence of isolated backbone curves, Identifying phase-varying periodic behaviour in conservative nonlinear systems

Cites Work

• The construction of non-linear normal modes for systems with internal resonance
• A NEW GALERKIN-BASED APPROACH FOR ACCURATE NON-LINEAR NORMAL MODES THROUGH INVARIANT MANIFOLDS
• The Normal Modes of Nonlinear n-Degree-of-Freedom Systems
• Normal Modes for Non-Linear Vibratory Systems
• Finite-Element-Based Nonlinear Modal Reduction of a Rotating Beam with Large-Amplitude Motion