A vibro-impact acoustic black hole for passive damping of flexural beam vibrations
A vibro-impact acoustic black hole for passive damping of flexural beam vibrations
复制标题
DOI：
10.1016/j.jsv.2019.03.004
复制
发表时间：
2019-06
影响因子：
4.7
通讯作者：
Haiqin Li;C. Touzé;A. Pelat;F. Gautier;Xianren Kong
中科院分区：
文献类型：
--
作者：
Haiqin Li;C. Touzé;A. Pelat;F. Gautier;Xianren Kong
数值研究了同时具有声学黑洞终端和接触非线性的细长梁的非线性弯曲振动。声学黑洞效应(ABH)是一种被动减振技术，在给定的截止频率上表现出诱人的特性。在这一贡献中，介绍了一种振动碰撞声黑洞(VI-ABH)，接触非线性被用作将能量从低频传递到高频的手段。从欧拉-伯努利光束出发，建立了VI-ABH的数值模型。接触律采用罚函数法处理，粘弹性层采用Ross-Kerwin-Ungard模型，并采用模态法和能量守恒时间积分格式相结合的方法求解。数值结果表明，VI-ABH通过重新分配所有的振动能量，带来了重要的修正，并改变了更传统的黑洞的性质。这会导致低频下的共振幅度急剧下降。在稳态噪声激励下，对单触点、网格触点和双边触点布局进行了参数研究，以寻找最优设计方案。通过对位移信号包络和能量衰减时间的分析，研究了系统的暂态动力学特性。所有的数值结果都不断地表明，ABH效应和接触非线性提供的能量传递的组合导致了包括低频在内的非常吸引人的缓解模板。
Nonlinear flexural vibrations of slender beams holding both an Acoustic Black Hole termination and a contact non-linearity are numerically studied. The Acoustic Black Hole (ABH) effect is a passive vibration mitigation technique, which has shown attractive properties above a given cut-on frequency. In this contribution, a vibro-impact acoustic black hole (VI-ABH) is introduced, the contact nonlinearity being used as a mean to transfer energy from low to high frequencies. A numerical model of a VI-ABH is derived from a Euler-Bernoulli beam. The contact law is handled with a penalization approach, the visco-elastic layer with a Ross-Kerwin-Ungard model and the problem is solved with a modal approach combined with an energy-conserving time integration scheme. Numerical results show that the VI-ABH brings about important modifications, and changes the nature of more traditional black holes, by redistributing all the vibrational energy. It can lead to a strong decrease of the resonance magnitude at low frequencies. Under steady state noise excitation, parametric studies are realised in the cases of a single contact, a grid of contacts and bilateral contacts layouts, in order to find some optimal designs. Transient dynamics is also studied through the analysis of displacement signal envelope and energy decay time. All the numerical results constantly show that the combination of the ABH effect and an energy transfer provided by contact nonlinearity leads to very attractive mitigation template including low frequencies.