Parametric resonance of shear deformable nanotubes: a novel higher-order model incorporating nonlinearity from both curvature and inertia

DOI10.1016/J.EUROMECHSOL.2022.104693zbMath1498.74027OpenAlexW4281663240MaRDI QIDQ2168413

Xuan Hu, Qiduo Jin, Xinwei Fu

Publication date: 31 August 2022

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.2022.104693

zbMATH Keywords

Hopf bifurcationRunge-Kutta schemesurface elasticitynonlinear resonancenonlocal strain gradient theorycurvature nonlinearityhigher-order non-extensible beam theoryinertia nonlinearitytwo-step perturbation-incremental harmonic balance method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite difference methods applied to problems in solid mechanics (74S20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (4)

Coupled resonance of FGM nanotubes transporting super-critical high-speed pulsatile flow under forced vibration: size-dependence and bifurcation topology ⋮ Resonance interaction of flow-conveying nanotubes under forced vibration ⋮ Review on mechanics of fluid-conveying nanotubes ⋮ Parametric-forced coupling resonance of core-shell nanowires with interfacial damage under weak viscoelastic boundary constraint

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