在本篇論文中呈現了一個新的樑連接著週期性的多個共振器。本文發現,當樑連接共振器時可有效的降低波的振幅，而當使用多個共振器時可以造成多個共振型的帶隙並可造成波顯著的衰減。在本篇論文中我們探討附有三種不同共振器的矩形樑的振動行為,分別為單一共振器,串聯共振器以及並聯共振器。經由改變共振器的質量以及彈簧常數，可以調整帶隙的範圍以及位置。另外，本文從Abaqus有限元素分析結果與實驗可以看出當外部頻率於帶隙內的時候，樑的振幅可以明顯的減少。本文也對理論分析，FEA結果，實驗結果進行比較。

A new beam with periodically attached multi-resonators is presented. It is found that attached resonators may reduce wave amplitude effectively. It is also found that multiple resonators can lead to multiple resonant-type bandgaps with remarkable wave attenuation. Three types of unit cell are considered: a beam with one single resonator; a beam with resonators in parallel; and a beam with resonators in series. By changing the mass and spring constant, the range and location of the bandgap can be tailored.
From the FEA and experimental results, it is seen that waves can be significantly reduced in a beam with resonators if the external frequency is within the bandgap. In addition, the experimental results have been compared with the theoretical analysis and FEA results.

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