橋梁為國家交通之動脈，在受災害等緊急危難時扮演者重要角色。民國88年921的強烈地震，為台灣近五十年來災情最為慘重的地震災害，並造成中部地區眾多公路橋梁嚴重損壞，影響災區救援，由此可見橋梁耐震能力評估之重要。因此對於橋樑結構設計須將地質條件與受震反應等因素納入考量，做基本結構設計；惟結構物受地震力作用時須透過精確模擬，避免結構受外力時達共振反應，因此後續將分析橋梁結構之自然振動頻率。
本研究採以ABAQUS有限元素軟體進行樁土互制高度非線性行為分析，橋梁結構之自然振動頻率。藉由美國石油協會(API)所建議之土壤反力及位移關係轉換為土壤彈簧進行簡易模擬，藉此求得之自然振動頻率。為驗證土壤彈簧之可行性，本研究將驗證已知沙箱試驗，進行有限元素模型、土壤彈簧模型與試驗之自然振動頻率進行比較，確保ABAQUS求解自然振動頻率可靠性。

Bridges play an important role in multi-hazard situations. In 1989, the San Francisco earthquake significantly damaged the San Francisco–Oakland Bay Bridge and caused a serious disaster situation. The earthquake also damaged many other bridges and affected rescue operations. Hence, it is important to evaluate the performance of bridges during earthquakes. In addition, it is necessary to consider soil and structure interaction when designing a bridge that will be subjected to dynamic loading.
The dynamic behavior of a bridge structure is one of the important factors in seismic design. The most important of the dynamic characteristics of a bridge is its fundamental frequency and fundamental vibration mode. In this study, we use the ABAQUS finite element program to analyze the performance of a bridge pier under soil and structure interaction. First, finite element soil models including a soil spring model built upon empirical equations from the API (American Petroleum Institute) are used to calculate the natural frequencies of the bridge pier. Then, the numerical results are compared with the natural frequencies obtained using the experimental data from a shaking table test. In addition, a dynamic load is applied to the finite element bridge pier model to observe whether the displacement response exhibited the resonance phenomenon and to make sure that the natural frequency obtained using the ABAQUS solver was accurate and logical. Finally, parameter analyses are performed to study the influence of piles exposed to the fundamental frequency of the bridge pier.

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