本研究建立含筏基群樁基礎受軸向動態載重行為之波動方程分析模式。群樁結構體可簡化為等值單一筏墩基礎，以有限差分法進行分析。基樁週遭土層支承以t-z、Q-z理論曲線模式之土壤彈簧、轉換阻尼係數，以及Novak動力阻抗函數提供之土壤彈簧與阻尼係數值模擬之。另參考前期研究(林光宗,1998)中根據Dobry and Gazatas(1988)建議之動力互制因子所推導之群樁基礎中單樁互制分析模式，並納入樁帽影響，以求取基樁反應。本研究分別針對等值墩基分析模式與群樁基礎中單樁互制分析模式進行程式模擬，並且探討群樁間距、土層勁度以及樁長與樁徑比值等參數改變對於基礎反應造成之影響，比較兩種模式的分析結果。
經由觀察分析所得可知：1.整體基礎反應將隨樁-土層勁度比值(Ep/Es)降低而減少，亦即土層勁度值愈高則基礎垂直受力所產生之位移量愈小；2.增加樁間距和樁直徑比值(S/d)將使筏基規模增大，基礎垂直受力反應將明顯地減少；3.改變樁長與樁半徑比值(l/r)，亦即改變基樁長度，則對基礎垂直受力反應影響甚微；4.等值墩基模式分析與群樁基礎之單樁受力反應分析模式所得相似但略為保守。本研究探討群樁基礎之軸向動態反應，關於側向受力反應分析則有待進一步研究，以建立更完整的分析架構。

This study establishes the wave equation analytical model for piled raft foundation which is subjected to a vertical exciting force. In order to simplify the analysis, this study takes the group-pile as a single equivalent pier, and the corresponding wave equation is derived with the FD method. Soil spring constants and damping coefficients were founded by theoretic t-z and Q-z equations and a time dependent radiation damping model derived from Novak''s dynamic impedance functions (1974). Moreover, this study refers to the research of interactive single pile model, and estimates the response of the pile foundation with the cap.
From this study, following results were observed for piled raft foundation response: 1. The piled raft foundation response amplitude becomes smaller as the pile-soil stiffness contrast decreases. 2. The response amplitude decreases with the increase of the ratio of pile spacing and pile diameter. 3. There is less influence on the pile raft foundation response by variating the pile slenderness ratio. 4. Similar results were obtainable from the equivalent pier model and the interactive single pile model while the former yields more conservative solutions. The piled raft foundation response under the dynamic axially loads has been analyzed in this study. A more complete approach including the lateral loaded response needs to be further investigated.

目 錄
中文摘要一
英文摘要二
本文目錄Ⅰ
表目錄Ⅳ
圖目錄Ⅳ
第一章 緒論1
1-1 研究動機與目的1
1-2 研究方法與內容2
第二章 文獻回顧5
2-1 前言5
2-2 垂直基樁反應常用分析方法6
2-2-1 Winkler基礎模式7
2-2-2 有限元素法8
2-2-3 邊界元素法9
2-2-4 混合模式法10
2-3 群樁分析相關研究12
2-3-1 有限元素法13
2-3-2 混合模式法15
2-3-3 波傳分析法17
2-3-4 群樁效率19
2-4 動力阻抗函數20
2-5 土壤阻尼模式29
2-6 土壤彈簧模式33
2-7 數值分析程式介紹39
第三章 理論與推導43
3-1 前言43
3-2 等值墩基分析模式43
3-2-1 等值墩基模式44
3-2-2 波動方程式46
3-2-3 土壤參數選取51
3-3 群樁互制影響之單樁分析模式52
3-3-1 波動方程式52
3-3-2 互制土壤阻尼58
3-3-3 互制土壤彈簧60
3-3-4 土壤參數選取65
第四章 垂直載重群樁基礎行為研究67
4-1 前言67
4-2 動力荷重型態67
4-3 基本參數選擇69
4-4 群樁基礎等值墩基模式行為研究71
4-5 群樁基礎中單樁行為研究76
4-6 參數研究98
4-6-1樁距與樁徑比值影響98
4-6-2土壤-基礎勁度比值影響112
4-6-3樁細長比影響125
4-7 理論設計曲線138
4-8 討論143
第五章 結論與建議145
5-1 結論145
5-2 展望與建議146
參考文獻147

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