地震引致之山崩為災害性之危害。一個可以減輕山崩危害，使我們對地震引致之位移的方法是十分關鍵的。以能量為基礎的愛氏震度Arias Intensity被認為是地震引致之邊坡穩定分析中十分可靠的方法。有限元素分析被視為實用以及有效的工具來研究邊坡的動態過程。本研究使用一系列的地震加速度紀錄，並透過數值模擬來研究愛氏震度與地震引致之位移的關係。動態過程中的位移被檢驗，愛氏震度與邊坡位移的關係透過考慮不同角度的邊坡(20 o，30 o， 及 45o)呈現。草嶺山崩模型以及阿蘇橋山崩模型在本研究中被當作應用模型。
本研究結果顯示，愛氏震度的範圍大小以及塑性流動法則對於愛氏震度以及地震引致之邊坡位移的關係有所影響，而邊坡的角度則沒有明顯影響。愛氏震度的範圍在使用任何已發表的經驗關係式時，是需要被考慮的。而在進行相關數值模擬時，塑性流動法則的影響也是需要注意的。
本研究希望提供愛氏震度與地震引致之位移之關係式使用上更進一步的了解，也希望提供在未來使用這些經驗關係式時有更深入的見解。

Earthquake-induced landslides are damaging hazards. A way to mitigate landslide damage, having a better understanding of slope movements induced by earthquakes is pivotal. The energy-based Arias Intensity has been recognized as a useful measure in earthquake-induced slope stability. Finite element analysis has been a practical and effective tool to analyze the dynamic process of landslides. The study utilized a series of seismic records and performed numerical simulations to study the relationship between Arias Intensity and earthquake-induced slope displacement. The displacements in the dynamic process were examined and the relationships between Arias Intensity and displacements of slopes, considering different angles of slopes (20 o, 30 o, and 45o), are presented. The Tsaoling model and Aso-bridge model were utilized as verification models. The results indicated that the range of the Arias Intensity and the plastic flow rule have influences on the relationships between Arias Intensity and normalized earthquake-induced slope displacement, while the angles of slopes show little effect. The range of the Arias Intensity should be considered in any usage of published empirical relationships. The plastic flow rule should be taken into account when conducting simulations. This study aims to provide better understanding in the relationships between Arias Intensity and earthquake-induced slope displacement and hopes to provide insight for any further usages of empirical relationships.

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