Dynamic stability of an axially transporting beam with two-frequency parametric excitation and internal resonance

DOI10.1016/j.euromechsol.2020.104084zbMath1477.74053OpenAlexW3086974420MaRDI QIDQ2224620

Yanyan Li

Publication date: 4 February 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2020.104084

zbMATH Keywords

perturbation techniqueEuler-Bernoulli beaminternal resonanceRouth-Hurwitz criteriontwo-frequency excitationKelvin-Voigt viscoelastic materialstrange stability boundary

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (4)

Nonlinear Dynamics and Bifurcation Analysis of a Hinged-Clamped Beam Under Parametric and Internal Resonances ⋮ Internal resonance of an axially transporting beam with a two-frequency parametric excitation ⋮ Review and perspectives in applied mechanics of axially moving flexible structures ⋮ Dynamic stiffness method for exact longitudinal free vibration of rods and trusses using simple and advanced theories

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