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研究生:翁誠甫
研究生(外文):Chen-Fu-Wong
論文名稱:分佈載重純壓拱之穩定特性分析
論文名稱(外文):Stability characteristics of arches under pure compression due to distributed load
指導教授:呂秋水
學位類別:碩士
校院名稱:國立臺灣海洋大學
系所名稱:河海工程學系
學門:工程學門
學類:河海工程學類
論文種類:學術論文
論文出版年:2005
畢業學年度:94
語文別:中文
論文頁數:64
中文關鍵詞:
外文關鍵詞:arch
相關次數:
  • 被引用被引用:1
  • 點閱點閱:233
  • 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
拱結構應用於許多工程結構中,而其中的一種應用類型就是在拱結構上方承受回填土,在此本文稱之為背填土拱。本文並在維持無彎矩拱形的條件下來作分析。由於背填土拱在沿著跨度的方向上,其覆土壓力隨著覆土的深度而變化,因此造成不同的無彎矩拱型。由於現有的文獻中對於拱結構穩定性的討論大部分在於橋樑,很少提到背填土拱的穩定行為。因此本文針對其穩定行為,分別採用線性與非線性的方法來作挫屈分析。本文採用KG法及N1法作為線性挫屈分析方法,而以牛頓法來作為非線性挫屈分析方法。結果顯示在拱高較小的情況下,三種方法皆能得到非常接近的答案。並以攝動法來針對挫屈後的穩定性作一探討,結果顯示可將拱高可劃分成幾個範圍以界定其穩定型態,以作為工程師設計時的依據。
Abstract

Arches apply to many engineering structures, and one of these application types is to bear the backfill soil above the arch structure, we call it backfillarch in this paper. This article analyses it under the condition of momentless arch shape. Along the direction of the span it cause different momentless arch shapes because of changing of the soil pressure with the depth of the covered soil. Because there are many part of discussion with stability of the arch structure in existing documents in the bridge, but it mostly seldom mention seldom stability of backfillarch. So the article use the linear and non-linear method to analyse its behavior of stability. This article use KG method and N1 method as linear buckling analysis method,and use Newton method as non-linear buckling analysis method.The result shows that under the situation of smaller rise of span three methods can all get very close answer. And make a discussion with stability of postbuckling behavior in perturbation method. The result shows that we can divide rise of arch into several ranges in order to define its stability type attitude as the basis of engineer's design.
目  錄
謝誌 I
摘要 II
Abstract III
目錄 IV
圖目錄 V
表目錄 VII


第一章 緒論 1
1.1 研究動機與文獻回顧 1
1.2 研究內容 3

第二章 拱構造之應用與內力分析 5
2.1 拱構造之應用與其力學特性 5
2.1.1 拱結構於橋樑之應用 5
2.1.2 承受不同載重型式之拱構造的應用 11
2.2 拱軸線之決定 14
2.3 線性分析 22
2.4 挫屈分析 28

第三章 後挫屈分析 31
3.1 主路徑分析 32
3.2 次路徑分析 34
3.3 實例分析 37

第四章 結論與建議 43

附錄A 附圖 56
附錄B 主次路徑圖 61
附錄C 挫屈參數表 79
參考文獻  81
參考文獻

[1] Bradford, M. A., Uy, B., and Pi, Y.-L. (2002). “In-plane stability of arches under a central concentrated load.” J. Eng. Mech., 128(7), 710-719

[2] Calhoun, P. R., and Dadeppo, D. A. (1983). “Nonlinear finite element analysis of clamped arches. “ J. Struct. Eng., 109(3), 599-612.

[3] Chang, S. C. and Chen, J. J. (1986). “Effectiveness of linear bifurcation analysis for predicting the non-linear stability limits of structures.” Int. J. Num. Eng., 23, 831-846.

[4]Casagrande,A.,"Classification and Identification of Soils",Transaction,ASCE, Vol.113,901-930(1948).

[5] Dadeppo, D. A. and Schmidt, R. (1969). “Sidesway buckling of deep circular arches under a concentrated load.” J. Appl. Mech., 36(6), 325-327.

[6] Elias, Z. M., and Chen, K. L. (1988). “Nonlinear shallow curved-beam finite element.” J. Eng. Mech., 114(6), 1076-1087.

[7] Fernando, G. F. and Luis, A. G. (1992). “Elastic post-buckling analysis via finite element and perturbation techniques. Part 1: Formulation.” Int. J. Num. Eng., 33, 1775-1794.

[8] Gallagher, R. H., (1975). Perturbation procedures in nonlinear finite element structural analysis, Lecture notes in mathematics, 461: Computational mechanics, Springer-Verlag, pp. 75-90.

[9] K. Huseyin, (1975). Nonlinear theory of elastic stability, A. W. Sijthoff, Inc., Netherlands.

[10] Leontovich. "Frames And Arches" ,Condensed Solutions For Structural Analysis, W. A. FAIRHURST (1959).

[11]M.A. Crisfield,Non-Linear Finite Element Analysis of Solids and Structures, John Wiley,New York(1991).

[12] Petros, P. Xanthakos., (1994). Theory and design of bridges, John Wiley & Sons, Inc., New York, N.Y.

[13] Pi, Y.-L., and Bradford, M. A. (2002). “In- plane stability of arches.” Int. J. Solids Struct., 39(1), 105-125.

[14] Pi, Y.-L., and Trahair, N. S. (1998). “Non-linear buckling and postbuckling of elastic arches.” Eng. Struct., 20(7), 571-579

[15] Poulos,G.H. and Davis,E.H., Elastic Solutions for soil Mechanics,Wiley,New York(1974).

[16] Schreyer, H. L., and Masur, E. F. (1966). “Buckling of shallow arches.” J. Eng. Mech. Div., 92(EM4), 1-17.

[17] Thompson, J. M. T., and Hunt, G. W. (1969), “Comparative perturbation studies of the elastic.” Int. J. Mech., 114, 999-1014.

[18] Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill Book Co., Inc., New York, N.Y.

[19] Wen, R. K., and Suhendor, B. (1991). “Nonlinear curved-beam element for arch structures.” J. Struct. Eng., 117(11), 3496-3515.

[20] W. T. Koiter, (1967) “On the stability of elastic equilibrium.”, Dissertation, Delft, Holland(1945), English translation, NASA, TT, F10, pp.883.

[21] Yang, T. Y. (1986). Finite element structural analysis, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.

[22] 項海帆, 劉光棟. (1991). 拱結構的穩定與振動, 1st Ed., 人民交通
出版社.
[23] 王如鈺、王雲程,拱橋,憬藝公司,民國八十五年十月。
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