跳到主要內容

臺灣博碩士論文加值系統

(54.224.133.198) 您好!臺灣時間:2022/01/29 21:29
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

我願授權國圖
: 
twitterline
研究生:游才銘
研究生(外文):Tsai-Ming Yu
論文名稱:Gibson壓密理論速算公式的研究
論文名稱(外文):The reseach of handy formula of Gibson's consolidation theory
指導教授:李顯智李顯智引用關係
指導教授(外文):Hin-Chi Lei
學位類別:碩士
校院名稱:國立中央大學
系所名稱:土木工程研究所
學門:工程學門
學類:土木工程學類
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:90
中文關鍵詞:速算公式
外文關鍵詞:Handy formula
相關次數:
  • 被引用被引用:1
  • 點閱點閱:187
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:0

摘 要
Terzaghi於1925年所提出的單向度壓密理論其優點是解析解易求得;缺點則是低估了超額孔隙水壓,Gibson等人便根據Terzaghi理論的缺失來進行修正,於1967年提出飽和黏土的壓密方程式,為一非線性的偏微分方程式。其優點為假設條件較符合土壤壓密的實際情況;缺點則是解析解不容易求得。不過由最近發表的文獻中,可知已能將Gibson理論的薄黏土層的單向度壓密方程式予以線性化,進而求出其近似解。
本研究主要是利用差分法來求出Gibson薄、厚土層壓密方程式的近似解,並且跟Terzaghi壓密理論與速算公式的結果作一比較,以提供作為工程設計時的一個參考。


Abstract
Gibson and his co-workers proposed a nonlinear theory of consolidation in 1967, which was derived by conditions more realistic than those applied in the Terzaghi’s theory. Even if the analytic solutions to the nonlinear theory are difficult to obtained, some progress has been made recently using a special type of linearization. A handy formula has thus derived which can calculate the settlement quickly.
This research try to compare this handy formula with the Gibson’s theory as well as the Terzaghi’s theory. And some positive results has been obtained.


目錄
頁次
摘要I
英文摘要II
目錄III
圖目錄VI
第一章 緒論1
1-1 研究動機與目的1
1-2 研究方法2
1-3 論文內容3
第二章Gibson-England-Hussy單向度壓密理論簡介4
2-1 前言4
2-2 控制方程式的推導4
2-3 Gibson-England-Hussy薄土層的控制方程式推導7
2-4 Gibson-England-Hussy方程式中材料函數的選取9
第三章 Gibson-England-Hussy方程式的線性化12
3-1 變數轉換12
3-2 變數角色轉換14
3-3 新自變數q的物理意義16
第四章 薄土層GEH壓密方程式的求解18
4-1 移動邊界問題描述18
4-2 GEH壓密方程式的近似解法21
4-3 GEH壓密方程速算公式的推導24
4-4 速算公式與其他壓密理論之比較31
4-4-1 Terzaghi壓密方程式32
4-4-2 Gibson 厚土層壓密方程式32
4-4-3 Gibson薄土層壓密方程式33
第五章 實例分析與討論35
5-1 不同載重之比較35
第六章 各種壓密條件下的結果比較45
6-1 不同載重之比較45
6-2 不同土體高度之比較54
6-3 不同初始孔隙比之比較62
6-4 不同載重下GEH薄厚土層方程之比較67
第七章 結論與建議76
7-1 結論76
7-2 建議76
附錄78
參考文獻88


參考文獻[1] Lee,K.,“Discussion on Terzaghi’s Concept of Consoli- dation,” Geotechnique, Vol.34,No.1,pp. 131-132(1984).[2] Richart, F.E.,“A Review of the Theories for Sand Dr- ains,” Proc.Am.Soc.civ.Engrs,SM3,No.1301,(1957).[3] Lo,K.Y.,“Discussion on Rowe, Measurement of the Coe- fficient of Consolidation of Lacustrine Clay,” Geote- chnique, Vol 10,No 1,pp. 36-39(1960).[4] Janbu, N.,“Consolidation of Clay Layers Basedon Non- Linear Stress-Strain,”Proc.6th Int. Conf.Soil Mech.Vol. 2,pp. 83-87(1965).[5] Barden,L. and Berry,P.L.,“Consolidation of Normally Consolidated Clay,” Pro.Am.Soc.Civ Engrs, SM5 ,No.4481, pp.15-35(1965)[6] Davis,E.H.and Raymond,G.P.,“A Non-Linear Theory of Consolidation,” Geotechnique,Vol 15,No.2,pp.161-173 (1965).[7] Gibson,R.E.,England,G.L.and Hussey,M.J.L.,“The Theory of One Dimensional Consolidation of Saturated Clay: I. Finite Non-Linear Consolidation of Thin Homogeneous Layers,” Geotechnique,Vol 17,pp.261-273(1967).[8] Gibson, R.E., Schiffman,R.L.and Cargill,K.W.,“The The -ory of One Dimensional Consolidation of Saturated Clay: Finite Non Linear Consolidation of Thick Homogeneous Layers,” Can.Geotech.J﹒,Vol 18,pp.280-293(1981).[9] Lei,H.C. and Chang,H.W.,“A List of Hodograph Trans -formations and Exactly Linearizable Systems,”The Ch -inese Journal of Mechanics,Vol 12,No.3,September 1996.[10] Poskitt, T.J.,“The Consolidation of Saturated Clay with Variable Permeability and Compressibility,” Geo -technique,Vol 19,No 2, pp. 234-252 (1969).[11] Feldkamp,J.R.,“Permeability Measurement of Clay Pas -tes by a Non-Linear Analysis of Transient Seepage Co -nsolidation Tests,” Geotechnique,Vol. 39,No.1,pp.141 -145(1989).[12] Znidarcic,D.,Schiffman,R.L.,Pane,V.,Croce,P.,Ko,H.Y. and Olsen,H.W.,“ The Theory of One Dimensional Con -solidation of Saturated Clays: Constant Rate of Deformation Testing and Analysis,” Geotechnique,Vol 36,No 2,pp.227-237(1986).[13] Feldkamp,J.R.,Swartzendruber,D.and Shainberg,I.,“U -se of an Automated Tension Cell to Measure Physical Properties of Consolidation System,” Colloid Polymer Sci., Vol 261,pp. 277-285(1983).[14] Croce,P.,Pane,V.,Znidarcic, D.,Ko, H.Y.,Olsen,H.W. and Schiffman,R.L.,“Evaluation of Consolidation Theories by Centrifugal Modelling,” Proc. Conf.Applications of Centrifugal Modelling to Geotechnical Design, Manchest -er University, pp. 380-401(1984).[15] Mikasa,M.and Takada, N.,“Selfweight Consolidation of Very Soft Clay by Centrifuge,” In Sedimentation /Conso -lidation Models ,pp.121-140(eds R.N.Yong and F.C. Tow -nsend).New York :American Society of Civil Engineers (1984).[16] Schiffman,R.L.,Pane,V. and Gibson ,R.E.,“The Theory of One-Dimensional Consolidation of Saturated Clays: an Overview of Nonlinear Finite Strain Sedimentation and Consolidation,”In Sedimentation / Consolidation Mode- ls,pp 1-29(eds R.N.Yong and F.C. Townsend).New York: Am -erican Society of Civil Engineers(1984).[17] Chakarbarty, J.,“Theory of Plasticity,”McGraw-Hill, New York(1987).[18] Hill,R.,“The Mathematical Theory of Plasticity,”Oxfo -rd University Press,London(1950).[19] Whiteam,G.B.,“Linear and Nonlinear Waves,” Wiley,New York(1974).[20] Courant,R. and Friedrich,K.O.,“Supersonic Flow and Shock Waves,” Springer-Verlag, New York(1948).[21] Courant,R.and Hibbert,D.,“Methods of Mathemmatical Physics(Vol. 2),” Inter-science Publishers, New York (1962).[22] Garabedian,P.R.,“Partial Differential Equation,”Che -lsea Publishing Company,New York(1986).[23] M.R.Spiegel,p252,formula 128

QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top