Quasiperiodic forced vibrations of a beam interacting with a nonlinear spring

DOI10.1007/s00707-007-0450-zzbMath1120.74023OpenAlexW2011761451MaRDI QIDQ2385311

K. V. Avramov, Oleg V. Gendelman

Publication date: 12 October 2007

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-007-0450-z

zbMATH Keywords

multiple scales methodbending vibrationsBubnov-Galerkin procedure

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)

Related Items (2)

On interaction of vibrating beam with essentially nonlinear absorber ⋮ Route to chaos and bistability analysis of quasi-periodically excited three-leg supporter with shape memory alloy

Cites Work

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• Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment
• On the improved Kirchhoff equation modelling nonlinear vibrations of beams
• The analysis of the orientation effect of non-linear flexible systems on performance of the pendulum absorber
• The construction of non-linear normal modes for systems with internal resonance
• Non-linear non-planar resonant oscillations in fixed-free beams with support asymmetry
• Bifurcations of parametric oscillations of beams with three equilibria
• NON-LINEAR BEAM OSCILLATIONS EXCITED BY LATERAL FORCE AT COMBINATION RESONANCE
• Dynamics and bifurcations of a coupled column-pendulum oscillator
• Non-resonant non-planar free motions of inextensional non-compact beams
• Forced vibrations of a beam with a non-linear dynamic vibration absorber
• Quasi-Periodic Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing
• On Nonlinear Dynamics of Planar Shear Indeformable Beams
• Nonlinear Vibration of Beams Using a Form-Function Approximation
• Nonlinear Computation
• Free Vibrations of Timoshenko Beams Carrying Elastically Mounted, Concentrated Masses
• Flexural-flexural-torsional Nonlinear Vibrations of Pre-twisted Rotating Beams with Asymmetric Cross-sections
• Linear and Nonlinear Structural Mechanics
• Nonlinear vibrations of beams with various boundary conditions.
• Nonlinear Vibrations of a Beam Under Harmonic Excitation
• A multiple degree-of-freedom approach to nonlinear beam vibrations
• Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation
• Stability of Nonlinear Oscillations of an Elastic Rod

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