This article attempts to enhance the low-frequency vibration suppression performance of corrugated-core sandwich beams. Multiple local resonators are introduced into the corrugated-core sandwich beam to acquire low-frequency bandgaps with broader bandwidth and higher wave attenuation capability. The governing equations for vibration analysis of the local resonator–attached corrugated-core sandwich beam are established based on the spectral element method, which incorporates the locally resonant effect by adding the dynamic stiffness term of one specific resonator to the degree of freedom that it attaches to. The bandgaps of the proposed periodic structure are further derived by imposing the Bloch boundary conditions. After validating the numerical model through finite element simulations as well as experimental investigations, the bandgaps and vibration transmissibility of the corrugated-core sandwich beam are carried out, both with and without attached local resonators. It is found that the vibration reduction capability of the corrugated-core sandwich beam is greatly enhanced, bringing two low-frequency bandgaps with high attenuation factors and wide bandwidths. Meantime, the first bandgap of resonator-free corrugated-core sandwich beam is broadened apparently. An interesting result is that the bandgap with higher frequency is split by a newly generated passband. Furthermore, parametric studies are performed, and it is found that the regulating characteristics of the bandgaps obtained through varying the attachment location of local resonators are similar to those through tuning their inherent parameters.

本文试图增强波纹芯夹层梁的低频减振性能。在波纹芯夹心梁中引入多个局部谐振器，以获得具有更宽带宽和更高波衰减能力的低频带隙。基于谱元法建立了连接局部谐振器的波纹芯夹层梁振动分析的控制方程，该方法通过在其附加的自由度上加上一个特定谐振器的动态刚度项来结合局部谐振效应。到。所提出的周期结构的带隙是通过施加布洛赫边界条件进一步推导出来的。在通过有限元模拟和实验研究验证数值模型后，波纹芯夹层梁的带隙和振动传递率在有和没有附加局部谐振器的情况下进行。发现波纹芯夹层梁的减振能力大大增强，带来了两个衰减系数高、带宽宽的低频带隙。同时，无谐振器波纹芯夹层梁的第一带隙明显变宽。一个有趣的结果是频率较高的带隙被新生成的通带分割。此外，进行了参数研究，发现通过改变局部谐振器的附着位置获得的带隙调节特性与通过调整其固有参数获得的带隙调节特性相似。