Optimal parameters for dynamic vibration absorber with negative stiffness in controlling force transmission to a rigid foundation
Optimal parameters for dynamic vibration absorber with negative stiffness in controlling force transmission to a rigid foundation
复制标题
负刚度动态吸振器控制刚性基础力传递的最佳参数
DOI：
10.1016/j.ijmecsci.2018.12.033
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发表时间：
2019-03
影响因子：
7.3
通讯作者：
Hua Hongxing
中科院分区：
文献类型：
--
作者：
HuangXiuchang;Su Zhiwei;Hua Hongxing
采用具有负刚度的动态吸振器 (DVA) 来控制向刚性基础的力传递。建立运动微分方程。通过Routh-Hurwitz准则建立了稳定性的充要条件，并得到了稳定性边界。利用不动点理论求得给定质量比下DVA刚度比、负刚度比和阻尼比的最佳参数。基于使较小不动点的解趋于零的策略，得到了最优的负刚度比。与传统DVA相比，三参数隔振器表明，负刚度DVA在谐波和随机激励下的力传递控制和质量响应控制方面都表现更好。系统的传递函数在整个频率范围内低于统一（或归一化静态变形）。主系统力传递控制与质量响应控制的比较表明，负刚度DVA的最优参数并不相同。通过阐述各种力之间的相位差和平衡来研究负刚度DVA的机理。该结果可为负刚度DVA的设计提供理论依据。
A dynamic vibration absorber (DVA) with negative stiffness is employed to control force transmission to a rigid foundation. The differential equation of motion is established. The necessary and sufficient conditions for stability are established by Routh–Hurwitz criterion and the stability boundary is obtained. The fixed-point theory is employed to obtain the optimum parameters of DVA stiffness ratio, negative stiffness ratio and damping ratio under given mass ratio. The optimal negative stiffness ratio is obtained based on the strategy to make the solution of the smaller fixed point approach zero. The comparison with the traditional DVA, the three-parameter isolator shows that the DVA with negative stiffness performs better in both force transmission control and mass response control under harmonic and random excitations. The transfer function of the system is below unity (or the normalized static deformation) in the entire frequency range. The comparison between force transmission control and mass response control of the primary system shows that the optimal parameters are not the same for the DVA with negative stiffness. The phase difference and balance between various forces is illustrated to study the mechanism of DVA with negative stiffness. This result could provide theoretical basis for design of DVA with negative stiffness.
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