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研究生:莊偉凱
研究生(外文):Wei-Kai Juang
論文名稱:移動載重在無限長樑上對地表振動之影響
論文名稱(外文):The Ground Vibration of a Moving Load On The Infinite Length Beam
指導教授:張江南張江南引用關係
指導教授(外文):Chiang-Nan Chang
學位類別:碩士
校院名稱:國立中央大學
系所名稱:機械工程研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:55
中文關鍵詞:地表振動無限長樑移動載重彈性基礎
外文關鍵詞:ground vibrationinfinite length beammoving loadelastic foundation
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現今科技日益進步,製造技術亦趨於精密,振動問題顯然成為良率高低的重要一環。日前發展連接台北-高雄間的高速鐵路亦開始動工,其已規劃貫穿台南科學園區,在高速鐵路的貫穿下,南科的可用土地面積勢必減少,所以我們有必要在這股巨大能量的波傳振動問題上做一番評估及研究。
本文將鋼軌假設為一無限長樑、土壤為一彈性基礎、高速列車則視為一移動載重,並使用脈衝函數來描述此移動載重,討論載重在不同的移動速度下,地表上不同量測點的振動情形,並探討在不同的載重大小等情況下,對地面振動的影響。


At present the technology progresses day by day, and the manufacture technique is more and more accurate. The vibrational problem obvious plays an important role on the yield of height. A few days ago, the high speed railway which connects Taipei to Kaohsiung has started to work. It has planned to pass through Tainan Science-based Industrial Park.
The study assumes the rail as an infinite length beam, the soil as an elastic foundation, and the high speed railway as a moving load. We use Dirac delta function to describe the moving load, and discuss the vibration response on the different measurement point of the ground when the load on different moving velocity. And probe into the ground vibration on different load.


摘 要I
ABSTRACTII
誌 謝III
目 錄IV
圖目錄VI
表目錄IX
第一章 緒論1
1.1 研究動機1
1.2 相關文獻回顧2
1.3 本文架構3
第二章 相關理論背景及推導4
2.1 問題描述4
2.2 樑運動方程式推導5
2.3 半無限域之波傳性質9
第三章 研究方法16
3.1 無限長樑的振動16
3.2 地表波傳20
3.3 參數設定21
第四章 模擬結果與比較24
4.1 量測點距離對地表振幅的影響24
4.2 移動速度對地表波傳的影響24
4.3 載重大小對地表振幅的影響25
4.4 剪力波速的大小對地表振幅的影響25
第五章 結論與未來發展51
5.1 結論51
5.2 未來發展與展望51
參考文獻53


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