現今很多期刊當中，都對於超穎材料有許多的介紹與應用，其中，又以材料吸收振動的效應最常被應用。在此篇論文中，我們利用超穎材料樑的特性，探討了框形主結構樑的波傳行為，其主結構包含了可以當作局部共振器之薄膜質量系統。而決定頻率能隙位置的關鍵，是在於薄膜質量結構的局部共振頻率，藉由調整薄膜張力、質量大小、及質量位置，就能夠輕鬆調整頻率能隙的位置。我們利用解析解與模擬解來分析超穎材料樑的波傳行為，而多重共振器的結構也被應用來拓寬頻率能隙的寬度。

The studies on vibration reduction with metamaterials have been presented in many journals. In this thesis, we studied the wave propagation of a frame-like host beam with membrane-mass structures which can be used as local resonators. The band gap location of the metamaterial beam can be determined by the local resonant frequency of the membrane-type resonator. By altering the membrane tension, the mass magnitude, and the mass location, the local resonance frequency of the membrane-mass structure can be easily tuned. The finite element software (COMSOL Multiphysics) is used to simulate the propagation behavior of the metamaterial beam. Multiple kinds of resonators are also used for widening the band gap width.

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