On the longitudinal vibrations of a bar with viscous boundaries: super-stability, super-instability, and loss of damping

DOI10.1016/j.ijengsci.2011.09.001zbMath1423.74414OpenAlexW2084679322MaRDI QIDQ1659786

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.09.001

zbMATH Keywords

longitudinal vibrations loss of damping non-discretizable continuum super instability super stability viscous boundary damping

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Systems arising from the discretization of structural vibration problems (70J50)

Related Items (7)

Scattering of in-plane elastic waves at metamaterial interfaces ⋮ Note on the stabilization of a vibrating string via a switching time-delay boundary control: a theoretical and numerical study ⋮ Nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading in the subcritical buckling regime ⋮ Perturbations of superstable linear hyperbolic systems ⋮ Further results on the long-time behavior of a 2D overhead crane with a boundary delay: exponential convergence ⋮ Closed-form exact solutions for hysteretically damped longitudinal free and forced vibrations of tapered beams ⋮ Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping

Cites Work

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