The Response of an Inerter-Based Dynamic Vibration Absorber With a Parametrically Excited Centrifugal Pendulum
The Response of an Inerter-Based Dynamic Vibration Absorber With a Parametrically Excited Centrifugal Pendulum
复制标题
具有参数激励离心摆的惯性体动态减振器的响应
DOI：
10.1115/1.4053789
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Tai, Wei-Che
中科院分区：
文献类型：
--
作者：
Gupta, Aakash;Tai, Wei-Che
惰性元件已经集成到各种减振装置中，其质量放大效应可以增强这些装置的抑制能力。在目前的研究中，惯性减振器与摆式减振器集成在一起，称为惯性摆式减振器(IPVA)。为了证明其有效性，IPVA与寻求减振的线性、谐振器集成在一起。对IPVA的非线性响应进行了理论研究。结果表明，IPVA基于一种非线性能量传递现象，即由于摆的参数共振，线性振子的能量传递到摆的减振器上。用谐和平衡法结合Floquet理论预测了参数不稳定性。摄动分析表明，干叉分叉和倍周期分叉是发生参数共振的充要条件。采用弧长延拓格式对参数空间中的参数失稳边界进行了预测，并验证了摄动分析。研究了各种系统参数对参数不稳定性的影响。最后，将IPVA与线性基准和自动参数减振器进行了比较，结果表明IPVA具有更好的减振效果。
The inerter has been integrated into various vibration mitigation devices, whose mass amplification effect could enhance the suppression capabilities of these devices. In the current study, the inerter is integrated with a pendulum vibration absorber, referred to as inerter pendulum vibration absorber (IPVA). To demonstrate its efficacy, the IPVA is integrated with a linear, harmonically forced oscillator seeking vibration mitigation. A theoretical investigation is conducted to understand the nonlinear response of the IPVA. It is shown that the IPVA operates based on a nonlinear energy transfer phenomenon wherein the energy of the linear oscillator transfers to the pendulum vibration absorber as a result of parametric resonance of the pendulum. The parametric instability is predicted by the harmonic balance method along with the Floquet theory. A perturbation analysis shows that a pitchfork bifurcation and period doubling bifurcation are necessary and sufficient conditions for the parametric resonance to occur. An arc-length continuation scheme is used to predict the boundary of parametric instability in the parameter space and verify the perturbation analysis. The effects of various system parameters on the parametric instability are examined. Finally, the IPVA is compared with a linear benchmark and an autoparametric vibration absorber and shows more efficacious vibration suppression.