DESIGN FORMULAS FOR TUNED MASS DAMPERS BASED ON A PERTURBATION TECHNIQUE

被引:201
作者
FUJINO, YZ [1 ]
ABE, M [1 ]
机构
[1] NORTHWESTERN UNIV,DEPT CIVIL ENGN,EVANSTON,IL 60208
关键词
D O I
10.1002/eqe.4290221002
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Modal properties of tuned mass damper (TMD)-structure two-degree-of-freedom (2DOF) linear systems are studied employing a perturbation technique. Using the perturbation solutions, formulas relevant to designing the TMD for various types of loading are obtained- they are expressed as a function of mass ratio, tuning ratio, damping ratio of the TMD and damping ratio of the structure. Equivalent additional dampings of the structure due to the TMD are derived for random and harmonic forces. Matched expressions of equivalent damping, which are valid for detuned, i.e. non-optimal, conditions are also presented. The stability boundary of TMD structure systems subject to linear self-excited forces is derived in a closed form. Using the perturbation solutions, procedures for optimizing the TMD parameters for various types of loading are explained and the optimal values are derived. The formulas obtained in this study can be used with good accuracy for mass ratios less than 0.02.
引用
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页码:833 / 854
页数:22
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