Parameter optimization of three-element type dynamic vibration absorber with negative stiffness

被引：0
|
作者：
Wang X.-R. [1 ]
Shen Y.-J. [1 ]
Yang S.-P. [1 ]
Xing H.-J. [1 ]
机构：
[1] School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang
来源：
Shen, Yong-Jun (shenyongjun@126.com) | 1600年 / Nanjing University of Aeronautics an Astronautics卷 / 30期
关键词：
Dynamic vibration absorber; Fixed-point theory; Negative stiffness; Parameter optimization; Vibration control;
D O I：
10.16385/j.cnki.issn.1004-4523.2017.02.002
中图分类号：
学科分类号：
摘要：
A new kind of three-element type dynamic vibration absorber (DVA) with negative-stiffness spring is studied in detail. At first, the analytical solution of the system is obtained based on the established motion differential equation. Three fixed points are found in the amplitude-frequency curves of the primary system. The design formulae for the optimal tuning ratio and optimal stiffness ratio of the DVA are obtained by adjusting the three fixed points to the same height according to the fixed-point theory. According to the characteristics of negative-stiffness element, the optimal negative stiffness ratio is obtained and it could keep the system stable. Then the optimal damping ratio is obtained by minimizing the maximum value of the amplitude-frequency curves. The comparison between the analytical solution and the numerical one verifies the correctness of the analytical solution. The comparisons the presented DVA with three other traditional DVAs under the harmonic and random excitations show that the presented DVA in this paper performs better in vibration absorption. This result could provide theoretical basis for the optimal design of similar DVAs. © 2017, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
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页码：177 / 184
页数：7
相关论文
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