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

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Abstract

In this paper, the wind-induced, horizontal vibrations of a vertical Euler–Bernoulli beam will be considered. At the top of the beam, a tuned mass damper (TMD) has been installed. The horizontal vibrations can be described by an initial-boundary value problem. Perturbation methods will be applied to construct approximations of the solutions of the initial-boundary value problem, and it will be shown that the TMD uniformly damps the oscillation modes of the beam. In the analysis, it will be assumed that damping, wind-force, and gravity effects are small but not negligible.

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Authors and Affiliations

  1. Delft Institute of Applied Mathematics (DIAM), Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628, Delft, CD, The Netherlands

    J. W. Hijmissen & W. T. van Horssen

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  1. J. W. Hijmissen
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  2. W. T. van Horssen
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Correspondence to J. W. Hijmissen.

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Hijmissen, J.W., van Horssen, W.T. On aspects of damping for a vertical beam with a tuned mass damper at the top. Nonlinear Dyn 50, 169–190 (2007). https://doi.org/10.1007/s11071-006-9150-9

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  • DOI: https://doi.org/10.1007/s11071-006-9150-9

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