地震超材料是一種新型的材料，藉由其獨特的微結構，使其擁有不同於自然材料的特殊物理性質，能夠引導和控制地震波在特定方向上傳播，將地震波轉化為無害的能量，以減輕對結構物和基礎設施造成的損害。本論文的核心概念為兩相超材料的探討，不同於過往由最外層的基材(matrix)、包覆層(cladding)和核心(core)所組成的三相超材料，兩相超材料沒有包覆層，只由基材和核心所組成。當地震波經過超材料時，基材和內核物之間會發生反向運動，產生局部共振現象，進而達成消能效果。本文藉由改變兩相超材料的材料性質，如基材和內核物的密度、體積、楊氏係數及柏松比，經由有限元素軟體的分析，找出能夠在較低頻率發生共振，並且產生較寬帶隙(band gap)範圍的材料尺寸模型，而本文除了利用有限元素軟體分析二維和三維模型在不同模態下的共振頻率和帶隙外，也有針對不同的內核物顆數及間距進行討論，最後利用半全域模擬，成功找出P波和SH波所對應的消能模態。而從初步的分析中發現，隨著內核物顆數的提高，雖然第一共振頻率會上升，但帶隙寬度會增加，因此可以獲得更大的消能範圍，然而隨著內核物彼此間的間距擴大，則會導致帶隙範圍縮小，不利於阻隔地震波的傳遞。

Seismic metamaterials are innovative materials with unique microstructures that can guide and control seismic waves, converting them into harmless energy. This paper focuses on two-phase metamaterials, which are composed of the matrix and core. When seismic waves pass through the metamaterial, reverse motion occurs between the matrix and core, creating local resonance and resulting in energy dissipation. This thesis uses finite element method to analyze the model. We modify material properties such as the density, volume, Young's modulus and Poisson's ratio of the matrix and core to identify suitable material properties and model sizes that can achieve lower resonant frequency and wider band gap. Furthermore, this thesis explores the effect of core number and spacing between the cores. It reveals that increasing the number of cores widens the bandwidth, while increasing the spacing between the cores narrows the bandwidth. Finally, this thesis successfully uncovers the reasons for the decay of P-wave and SH-wave energy.

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