Finite-Element-Based Nonlinear Modal Reduction of a Rotating Beam with Large-Amplitude Motion

DOI10.1177/107754603030751zbMath1156.74328OpenAlexW2115718763MaRDI QIDQ4817931

Polarit Apiwattanalunggarn, Steven W. Shaw, Christophe Pierre, Dongying Jiang

Publication date: 21 September 2004

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/107754603030751

zbMATH Keywords

finite elementrotating beamNonlinear normal modenonlinear modal reduction

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (10)

Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure ⋮ Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances ⋮ Adaptive Control of Atomic Force Microscope for Surface-Profile Estimation ⋮ Branch switching at Hopf bifurcation analysis via asymptotic numerical method: application to nonlinear free vibrations of rotating beams ⋮ MODEL REDUCTION WITH GEOMETRIC STIFFENING NONLINEARITIES FOR DYNAMIC SIMULATIONS OF MULTIBODY SYSTEMS ⋮ Reduced order models for geometrically nonlinear structures: assessment of implicit condensation in comparison with invariant manifold approach ⋮ Nonlinear frequency response analysis of structural vibrations ⋮ Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures ⋮ Component mode synthesis using nonlinear normal modes ⋮ Nonlinear normal modes and their application in structural dynamics

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