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

被引：18

作者：

Hijmissen, J. W. ^{[1
]}

van Horssen, W. T. ^{[1
]}

机构：

[1] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, DIAM, NL-2628 CD Delft, Netherlands

来源：

NONLINEAR DYNAMICS | 2007年 / 50卷 / 1-2期

关键词：

asymptotics; boundary damping; Euler-Bernoulli beam; stability; tall building; tuned mass damper; two-timescales perturbation method;

D O I：

10.1007/s11071-006-9150-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

引用

页码：169 / 190

页数：22

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