由於箱型鋼梁為封閉型，可能因為箱型梁內部共振問題將噪音放大，為探討箱型鋼梁振動所產生的低頻噪音問題，本研究使用有限元素套裝軟體ABAQUS進行數值模擬分析，探討箱型鋼梁振動行為。
本論文分為三個部分，第一部分，先對於一維梁穩態動力響應分析，分別以集中載重與移動載重之理論分析，透過與ABAQUS分析結果驗證，瞭解只考慮梁的撓曲變形時的振動行為。經由頻率響應函數頻譜方法，得到不同速度的移動載重作用在一維梁上，轉換為固定點的激振力頻譜。第二部分採用三維模型探討箱型鋼梁四周鋼板之振動行為。將箱型鋼梁拆解成四塊鋼板，對單獨的鋼板與箱型鋼梁兩者進行振動分析，再對於兩者的自然頻率與模態結果進行比對，瞭解箱型鋼梁的振動行為。再將箱型鋼梁內部加入小梁，增加其勁度，透過集中載重的作用，討論其振動行為的影響。第三部分，將箱型鋼梁內部加入空氣腔體或是岩棉，透過模擬分析其自然頻率與模態，將結果進行比對，透過此方式可以瞭解到結構與空氣或是岩棉耦合時，兩者之間交互影響的振動行為。最後施以固定點集中載重，將結果與內部為中空的箱型鋼梁進行比較，瞭解其結構耦合的影響。

Since the steel box beams is closed, the noise may be amplified due to the internal resonance of the box beam. To investigate the low-frequency noise is caused by the vibration of the steel box beams, so this study uses the finite element ABAQUS for numerical simulation analysis to investigate the vibration behavior of the steel box beams. This paper is divided into three parts, the first part. One-dimensional beams analyze the steady-state dynamic response of concentrated and moving loads. Understand the vibration behavior when only considering the deflection of the beam. Through the frequency response function spectrum method, at different speeds, the moving load acts on the one-dimensional beam and converts to the excitation force of the fixed point. In the second part, due to the three-dimensional model, the vibration behavior of the steel plate around the box steel beam cannot be ignored. Therefore, the box steel beam is dismantled into four steel plates, and the vibration analysis was performed on the individual steel plates and the box steel beams. By comparing the natural frequencies and mode of the simulation results, we can understand the vibration behavior of the box steel beam. The inside of the box steel beam is added to the joists to increase its stiffness. Through the action of the concentrated load, we discuss the influence of the vibration behavior. In the third part, the inside of the box steel beam is added the air cavity or rockwool. We compare the natural frequencies and mode of the simulation results. In this way, we can know the vibration behavior of the interaction between structural couplings. Finally, the fixed point concentrated load is applied, and compare with the hollow box steel beam to know the effects of structural coupling.

[1]余忠和、郭宏亮,“低頻噪音源管制措施及防制方法之建立”,歐怡科技股份有限公司、行政院環境保護署, 2005。
[2]陳俊宏、于中原, “捷運內湖線Ｕ型梁之規劃與設計” ,捷運技術半年刊，第40 期, 2009。
[3]陳思元,“高架軌道橋梁之減振防噪研究”,國立台灣海洋大學系統工程暨造船學系碩士論文, 2006。
[4]張國偉, “捷運系統高架橋行車振動分析” ,國立成功大學土木工程研究所碩士論文, 2002。
[5]蔡建秋, “車輛系統引發箱型橋梁振動及低頻噪音之相關參數研究” ,國立台灣海洋大學系統工程暨造船學系碩士論文, 2012。
[6]Frank J. Fahy, Paolo Gardonio, “Sound and Structural Vibration”, Academic Press, United States, pp.90-96, 1987.
[7]Timoshenko, D. H. Young, W. Jr. Weaver, “Vibration problems in engineering”, Wiley-Interscience, United States, 1990.
[8]Law, S.S., Chan, T.H.T. and Zeng, Q.H. “Moving force identification: A frequency and time domains analysis’’, Journal of Dynamic Systems, Measurement and Control ASME, pp.394-401, 1999.
[9]Siu-Seong Law, Xin-Qun Zhu, “Moving Loads - Dynamic Analysis and Identification Techniques”, CRC Press, United States, pp.91-93, 2011.
[10]D. J. Gorman, “Free vibration analysis of rectangular plates”, The Journal of the Acoustical Society of America, vol.72, 1982.
[11]Frank J. Fahy, Paolo Gardonio, “Sound and Structural Vibration”, Academic Press, United States, pp.489-504, 1987.
[12]Yusuke Mochida ,“Bounded Eigenvalues of Fully Clamped and Completely Free Rectangular Plates”, The University of Waikato Hamilton, New Zealand, 2007.
[13]A. W. LEISSA, “The Free Vibration of rectangular plates”, Journal of Sound and Vibration, vol.31, pp.257-293, 1973.
[14]曾吉笙,“大眾捷運系統噪音與振動之量測與分析”,國立台灣海洋大學系統工程暨造船學系碩士論文, 2008。
[15]游培堯,“公路鐵路高架結構系統振動與噪音分析”,國立台灣海洋大學系統工程暨造船學系碩士論文, 2011。
[16]張羽茹,“高速鐵路高架結構系統振動噪音調查與分析”,國立台灣海洋大學系統工程暨造船學系碩士論文, 2010。
[17]陳仕欣,“高雄捷運環境振動特性之研究”,國立成功大學土木工程研究所碩士論文, 2010。