On aspects of damping for a vertical beam with a tuned mass damper at the top

DOI10.1007/s11071-006-9150-9zbMath1193.74054OpenAlexW2150609673MaRDI QIDQ842213

J. W. Hijmissen, Wim T. van Horssen

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://resolver.tudelft.nl/uuid:885a4ee8-d26a-455f-ba48-6046c6a394f4

zbMATH Keywords

stabilityasymptoticsEuler-Bernoulli beamtuned mass damperBoundary dampingtall buildingtwo-timescales perturbation method

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)

On constructing a Green's function for a semi-infinite beam with boundary damping ⋮ Closed-form solutions and uncertainty quantification for gravity-loaded beams ⋮ Vibrations in an elastic beam with nonlinear supports at both ends ⋮ Solvability of a model for the vibration of a beam with a damping tip body

Cites Work

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• On the linear stability of hyperbolic PDEs and viscoelastic flows
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• On aspects of asymptotics for plate equations
• Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
• An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines
• On the Stabilization of a Flexible Beam with a Tip Mass
• On the Weakly Damped Vibrations of a String Attached to a Spring Mass Dashpot System
• An Asymptotic Theory for a Weakly Nonlinear Beam Equation with a Quadratic Perturbation

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