Flexural-flexural-torsional Nonlinear Vibrations of Pre-twisted Rotating Beams with Asymmetric Cross-sections

DOI10.1177/1077546307073675zbMath1182.74067OpenAlexW2001173471MaRDI QIDQ5190411

N. V. Shyryayeva, Christophe Pierre, K. V. Avramov

Publication date: 17 March 2010

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

Full work available at URL: https://doi.org/10.1177/1077546307073675

zbMATH Keywords

nonlinear normal modesrotating beamflexural-flexural-torsional vibrations

Mathematics Subject Classification ID

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

Related Items (10)

Analysis of forced vibrations by nonlinear modes ⋮ Quasiperiodic forced vibrations of a beam interacting with a nonlinear spring ⋮ Nonlinear modes of vibrations for simply supported cylindrical shell with geometrical nonlinearity ⋮ Nonlinear modes of cylindrical panels with complex boundaries. \(R\)-function method ⋮ Multidimensional models of traveling waves and nonlinear modes in cylindrical shells ⋮ Rotating beams and non-rotating beams with shared eigenpair for pinned-free boundary condition ⋮ Nonlinear dynamics of one disk asymmetrical rotor supported by two journal bearings ⋮ Nonlinear vibration, stability, and bifurcation analysis of unbalanced spinning pre-twisted beam ⋮ Equations of motion of rotating composite beam with a nonconstant rotation speed and an arbitrary preset angle ⋮ Analysis of weak solution of Euler-Bernoulli beam with axial force

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