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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳振山(Jen-San Chen) | |
dc.contributor.author | Hong-Chi Li | en |
dc.contributor.author | 李弘基 | zh_TW |
dc.date.accessioned | 2021-06-15T05:28:34Z | - |
dc.date.available | 2015-07-20 | |
dc.date.copyright | 2010-07-20 | |
dc.date.issued | 2010 | |
dc.date.submitted | 2010-07-14 | |
dc.identifier.citation | [1] Love, A.E., 1944. A Treatise on the Mathematical Theory of Elasticity. Dover Publications, New York.
[2] Champneys, A. R., van der Heijden, G. H. M., Thompson, J. M. T, 1997. Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature. Phil. Trans. R. Soc. Lond. A, 355, 2151–2174. [3] Lubinski, A., Althouse, W.S., Logan, J.L., 1962. Helical buckling of tubing sealed in packers. Journal of Petroleum Technology, 225, 650-670. [4] Mitchell, R. F., 1982. Buckling behavior of well tubing: the packer effect. Society of Petroleum Engineers Journal, October, 616–624. [5] Cheatham, J.B., Pattillo, P.D., 1984. Helical postbuckling configuration of a weightless column under the action of an axial load. Society of Petroleum Engineers Journal, 24, 467-472. [6] Tan, X. C. , Digby, P. J., 1993. Buckling of drill string under the action of gravity and axial thrust. International Journal of Solids and Structures, 30, 2675-2691. [7] Wu, J., Juvkam-Wold, H.C., 1993. Helical buckling of pipes in extended reach and horizontal wells. Part 2. Frictional drag analysis. ASME Journal of Energy Resources Technology, 115, 196-201. [8] Wu, J., Juvkam-Wold, H.C., Lu, R., 1993. Helical buckling of pipes in extended reach and horizontal wells. Part 1. Preventing helical buckling. ASME Journal of Energy Resources Technology, 115, 191–195. [9] Tan, X.C., Forsman, B., 1995. Buckling of slender string in cylindrical tube under axial load: experiments and theoretical analysis. Experimental Mechanics, March, 55–60. [10] Martinez, A., Miska, S., Kuru, E., Sorem, J., 2000. Experimental evaluation of the lateral contact force in horizontal wells. Journal of Energy Resources Technology, 122, 123-128. [11] Huang, N.C., Pattillo, P.D., 2000. Helical buckling of a tube in an inclined wellbore. International Journal of Non-Linear Mechanics, 35, 911-923. [12] Cunha, J.C., 2003. Buckling of tubulars inside wellbores: Review on recent theoretical and experimental works. SPE Drilling and Completion, 19, 13-19. [13] McCourt, I., Truslove, T., Kubie, J., 2002. Penetration of tubulars drill pipes in horizontal oil wells. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 216, 1237-1245. [14] McCourt, I., Truslove, T., Kubie, J., 2004. On the penetration of tubular drill pipes in horizontal oil wells. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 218, 1063-1081. [15] McCourt, I., Kubie, J., 2005. Limits on the penetration of coiled tubing in horizontal oil wells: effect of the pipe geometry. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 219, 1191-1197. [16] Wu, J., Juvkam-Wold, H.C., 1995. The effect of wellbore curvature on tubular buckling and lockup. ASME Journal of Energy Resources Technology, 117, 214-218. [17] Kuru, E., Martinez, A., Miska, S., Qiu, W., 2000. The buckling behavior of pipes and its influence on the axial force transfer in directional wells. ASME Journal of Energy Resources Technology, 122, 129-135. [18] Feodosyev, V.I., 1977. Selected Problems and Questions in Strength of Materials. Mir, Moscow. Translated from the Russian by M. Konyaeva. [19] Sorenson, K.G., Cheatham, Jr., J.B., 1986. Post-buckling behavior of a circular rod constrained within a circular cylinder. ASME Journal of Applied Mechanics, 53, 929-934. [20] Schneider, P.A., 2003. Endovascular skills: guidewire and catheter skills for endovascular surgery. Marcel Dekker, Inc., New York. [21] Paslay, P.R., Bogy, D.B., 1966. The stability of a circular rod laterally constrained to be in contact with an inclined circular cylinder. ASME Journal of Applied Mechanics, 31, 605-610. [22] Miska, S., Cunha, J. C., 1995. An analysis of helical buckling of tubulars subjected to axial and torsional loading in inclined wellbore. Proc., SPE Production and Operations Symposium, SPE 29460, Oklahoma City, OK, April 2–4. [23] van der Heijden, G. H. M., Thompson, J. M. T., 2000. Heical and Localised Buckling inTwisted Rods: A Unified Analysis of the Symmetric Case. Nonlinear Dynamics, 21, 71-99. [24] van der Heijden, G. H. M., Champneys, A. R., Thompson, J. M. T., 2002. Spatially complex localisation in twisted elastic rods constrained to a cylinder, International Journal of Solids and Structures, 39, 1863–1883. [25] van der Heijden, G. H. M., Champneys, A. R., Thompson, J. M. T., 1999. Spatially complex localisation in twisted elastic rods constrained to lie in the plane. Mechanics and Physics of Solids, 47, 59–79. [26] van der Heijden, G. H. M., 2003. Helical collapse of a whirling elastic rod forced to lie on a cylinder. ASME Journal of Applied Mechanics, 70, 771-774. [27] Ziegler, H., 1968. Principles of Structural Stability. Blaisdell Publishing Co., Waltham, Massachusetts. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46768 | - |
dc.description.abstract | 在本文中,我們研究一圓管內的細長彈性圓桿於端點施加扭矩作用下的變形分析。圓桿的端點位於圓管的中心點並於側向受到夾持。在前人的研究中,他們考慮整段的圓桿與管壁間均為線接觸變形。與前人不同的地方在於我們將無因次扭矩Mx由0開始增加,並針對圓桿的變形作完整的分析。我們發現初始形狀為直線的圓桿在Mx達到8.987 時發生挫曲並形成螺旋狀的變形,此時圓桿中點與管壁接觸,為一點接觸變形。當Mx增至11.472時接觸點由中點一分為二,圓桿的中點與管壁分離,形成兩點接觸變形。當Mx增至13.022,圓桿中點再次與管壁接觸,其變形發展為三點接觸變形。從Mx=13.098開始,圓桿中點的接觸型態由點接觸發展為線接觸。隨著Mx繼續增加,圓桿變形均以點-線-點接觸分佈,同時線接觸部分的長度隨著Mx增加而增加。在線接觸變形模型中,當線接觸部分夠長時,我們可以預測其變形的解析解。我們發現數值結果與解析解十分符合。最後,我們建立一套實驗設備觀察圓管內的圓桿於端點受扭矩作用下的變形發展。 | zh_TW |
dc.description.abstract | In this paper we study the deformation of a thin elastic rod constrained inside a cylindrical tube and under the action of an end twisting moment. The ends of the rod are clamped in the lateral direction at the centers of the tube. Unlike the previous works of others, in which only the fully-developed line-contact spiral was considered, we present a complete analysis on the deformation when the dimensionless twisting moment Mx is increases from zero. It is found that the straight rod buckles into a spiral shape and touches the inner wall of the tube at the midpoint when Mx reaches 8.987. As Mx increases to 11.472 the contact point in the middle splits into two, leaving the midpoint floating in the air. As Mx increases to 13.022, the midpoint returns to touch the tube wall and the two-point-contact deformation evolves to a three-point-contact deformation. Starting from Mx=13.098, the point contact in the middle evolves to a line contact, and the deformation becomes a point-line-point contact configuration and remains so thereafter. In the case when the line-contact pattern is fully developed, it is possible to predict the spiral shape analytically. The numerical results are found to agree very well with those predicted analytically. Finally, an experimental set-up is constructed to observe the deformation evolution of the constrained rod under end twist. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T05:28:34Z (GMT). No. of bitstreams: 1 ntu-99-R97522525-1.pdf: 3793131 bytes, checksum: ed407f67c93f1def9c70d8716593dae9 (MD5) Previous issue date: 2010 | en |
dc.description.tableofcontents | 口試委員審定書...................i
致謝.............................ii 中文摘要.........................iii 英文摘要.........................iv 目錄.............................v 附圖目錄.........................vii 附表目錄.........................ix 符號表...........................x 第一章 導論....................1 第二章 變形模型................5 2.1 線接觸變形...................5 2.1.1 平衡方程式..............5 2.1.2 邊界條件與連續條件......8 2.1.3 求解方法................11 2.2 三點接觸變形.................13 2.3 二點接觸變形.................15 2.4 一點接觸變形.................15 第三章 數值結果分析............17 第四章 能量法..................20 第五章 實驗....................23 5.1 圓桿機械性質量測........23 5.2 實驗設備................25 5.3 滑動夾持端移動距離量測..27 5.4 第一接觸點位置量測......28 5.5 螺旋角之量測............29 5.6 圓桿各變形之定性觀察....30 第六章 結論....................31 參考文獻.........................33 附錄 I 彈性圓稈的統御方程式說明........................55 附錄 II 圓稈於A點之三次微分連續條件推導........................57 附錄 III 圓稈中點的邊界條件推導........................59 附錄 IV 圓稈與管壁的點接觸力之推導........................61 附錄 V 螺旋變形之相關參數推導........................63 附錄 VI 以平衡法推導滑動端移動距離........................65 | |
dc.language.iso | zh-TW | |
dc.title | 圓管內的彈性圓桿於端點受扭矩作用下之研究 | zh_TW |
dc.title | On an Elastic Rod inside a Tube under End Twisting Moment | en |
dc.type | Thesis | |
dc.date.schoolyear | 98-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 周元昉,盧中仁 | |
dc.subject.keyword | 彈性圓桿,圓管,挫曲,扭矩,夾持,變形, | zh_TW |
dc.subject.keyword | elastic rod,tube,buckle,torque,clamp,deformation, | en |
dc.relation.page | 67 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2010-07-15 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
顯示於系所單位: | 機械工程學系 |
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