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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 | Zhi-Hao Lu | en |
dc.contributor.author | 盧志豪 | zh_TW |
dc.date.accessioned | 2021-06-13T01:29:20Z | - |
dc.date.available | 2007-07-24 | |
dc.date.copyright | 2007-07-24 | |
dc.date.issued | 2007 | |
dc.date.submitted | 2007-07-13 | |
dc.identifier.citation | [1] Chai, H., 2002. On the post-buckling behavior of bilaterally constrained plates. International Journal of Solids and Structures, 39, 2911-2926.
[2] Chai, H., 2006. On the crush worthiness of a laterally confined bar under axial compression. Journal of Applied Mechanics, 73, 834-841. [3] Chen, J.-S., Li C.-W., 2007. Planar elastica inside a curved tube with clearance. International Journal of Solids and Structures, (in press). [4] Cunha, J.C., 2004. Buckling of tubulars inside wellbores: Review on recent theoretical and experimental works. SPE Drilling and Completion, 19, 13-19. [5] Domokos, G.., Holmes, P., Royce, B., 1997. Constrained Euler buckling. Journal of Nonlinear Science, 7, 281-314. [6] Holmes, P., Domokos, G., Schmitt, J., Szeberenyi, I., 1999. Constrained Euler buckling: an interplay of computation and analysis. Computer Methods in Applied Mechanics and Engineering, 170, 175-207. [7] 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. [8] Kimball, C., Tsai, L.-W., 2002. Modeling of flexural beams subjected to arbitrary end loads. Journal of Mechanical Design, 124, 223-235. [9] 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. Journal of Energy Resources Technology, 122, 129-135. [10] Leung, A.Y.T., Kunag, J.L., Lim C.W., Zhu, B., 2005. Spatial chaos of buckled elastica by the Kirchhoff analogy of a gyrostat. Computers and Structures, 83, 2395-2413. [11] Love, A.E., 1944. A Treatise on the Mathematical Theory of Elasticity. Dover Publications, New York. [12] Paslay, P.R., Bogy D.B., 1964. The stability of a circular rod laterally constrained to be in contact with an inclined circular cylinder. Journal of Applied Mechanics, 31, 605-610. [13] Plaut, R.H., Suherman, S., Dillard, D.A., Williams, B.E., Watson, L.T., 1999. Deflections and buckling of a bent elastica in contact with a flat surface. International Journal of Solids and Structures, 36, 1209-1229. [14] Plaut, R.H., Taylor, R.P., Dillard, D.A., 2004. Postbuckling and vibration of a flexible strip clamped at its ends to a hinged substrate. International Journal of Solids and Structures, 41, 859-870. [15] Pocheau A., Roman., B., 2004. Uniqueness of solutions for constrained elastica. Physica D, 192, 161-186. [16] Roman, B., Pocheau, A., 2002. Postbuckling of bilaterally constrained rectangular thin plates. Journal of the Mechanics and Physics of Solids, 50, 2379-2401. [17] Schneider, P.A., 2003. Endovascular skills: guidewire and catheter skills for endovascular surgery. Marcel Dekker, Inc., New York. [18] Thompson, J.M.T., Champneys, A.R., 1996. From helix to localized writhing in the torsional post-buckling of elastic rods. Proc. Roy. Soc. Lond. A, 452, 117-138. [19] Timoshenko, S.P., Gere, J.M., 1961. Theory of Elastic Stability. McGraw Hill, New York. [20] Venanzi, S., Giesen, P., Parenti-Castelli, V., 2005. A novel technique for position analysis of planar compliant mechanisms. Mechanism and Machine Theory, 40, 1224-1239. [21] Wu, J., Juvkam-Wold, H.C., 1995. The effect of wellbore curvature on tubular buckling and lockup. Journal of Energy Resources Technology, 117, 214-218. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29992 | - |
dc.description.abstract | 本文主要探討兩端夾持固定之長度不受限制彈性體於圓形通道內的變形。在實驗觀測中,我們利用薄長的彈性體做實驗並稱它為「板條」,將板條放入圓形通道裡兩端夾持固定,其中一端,板條可以在夾持處自由滑移改變在通道內之長度,接著觀察它的變形,我們發現對稱與不對稱的變形皆會存在,本文尤其著重於板條與圓形通道因接觸而產生的變形部分。理論分析上,我們利用elastica理論去求解變形曲線,將整段的變形以接觸點為分界,分成數個基本變形(sub-domains)來討論,並將板條變形歸納為14種變形patterns形態。最後的數值結果,我們呈現各個patterns的變形模擬結果,並求得patterns之間的臨界值(critical point)及分支點值(branching point),最後將不同板條長度內可能出現的變形情況列出來,並圖示板條長度改變量與施力的關係。 | zh_TW |
dc.description.abstract | In this paper we study the planar deformations of an elastica inside a circular channel with clearance. One end of the elastica is fully clamped, while the other end is partially clamped in the lateral direction and is subject to a pushing force in the longitudinal direction. In the experiment, we observe various deformation patterns after pushing the elastica through the partial clamp. Both symmetric and asymmetric deformations are recorded. Special attention is focused on the contact conditions between the elastica and the circular channel. In order to analyze the elastica deformation theoretically, we first divide the elastica into several elementary sub-domains depending on the contact condition between the elastica and the circular channel. In each sub-domain the elastica is either only loaded at the ends or in full contact with the outer wall. Armed with these basic equilibrium analyses, we proceed to calculate and classify the loaded elastica into several different deformation patterns. Finally, we present the load-deflection curves which relate the external pushing force to the elastica length increase inside the channel. The branching phenomena exhibited by these load-deflection curves agree qualitatively with the experimental observations. | en |
dc.description.provenance | Made available in DSpace on 2021-06-13T01:29:20Z (GMT). No. of bitstreams: 1 ntu-96-R94522528-1.pdf: 2080335 bytes, checksum: c8624493bcd5dd265c10965c65256694 (MD5) Previous issue date: 2007 | en |
dc.description.tableofcontents | 口試委員會審定書 i
誌謝 ii 中文摘要 iii 英文摘要 iv 表 目 錄 viii 圖 目 錄 ix 第一章 導論 1 第二章 理論分析 3 2.1 平衡方程式 3 2.2 各種邊界情況及基本變形 5 2.2.1 簡支端邊界 7 2.2.2 夾持端邊界 7 2.2.3 簡支-接觸端邊界 8 2.2.4 夾持-接觸端邊界 9 2.2.5 接觸-接觸端邊界 10 第三章 兩端夾持固定之對稱變形 15 3.1 Pattern 1~3 中心點抬升並接觸通道外端 16 3.1.1 Pattern 1 變形求解 17 3.1.2 Pattern 2 變形求解 19 3.1.3 Pattern 3 變形求解 20 3.2 Pattern 4~7 中心處產生挫曲曲線 24 3.2.1 Pattern 4 變形求解 26 3.2.2 Pattern 5 變形求解29 3.2.3 Pattern 6 變形求解 33 3.2.4 Pattern 7 變形求解 34 3.3 Pattern 8~11 中間處產生兩個挫曲曲線 37 3.3.1 Pattern 8 變形求解 38 3.3.2 Pattern 9 變形求解 41 3.3.3 Pattern 10 變形求解 44 3.3.4 Pattern 11 變形求解 47 3.4 Pattern 12 端點處產生挫曲曲線 50 第四章 兩端夾持固定之不對稱變形 55 4.1 Pattern 4’、7’、8’、11’ 不對稱變形 56 4.1.1 Pattern 4’ 變形求解 56 4.1.2 Pattern 7’ 變形求解 58 4.1.3 Pattern 8’ 變形求解 59 4.1.4 Pattern 11’ 變形求解 61 4.2 Pattern 12’ 不對稱變形 62 4.3 Pattern 3+12 不對稱變形 63 4.4 Pattern 11+12 不對稱變形 67 第五章 數值模擬結果 74 5.1 變形模擬 74 5.2 值 74 5.3 臨界點及分支點 77 5.3.1 臨界條件 77 5.3.2 臨界點及分支點數值解 81 第六章 實驗觀察 85 6.1 實驗裝置 85 6.2 不同板條長度的變形 86 6.3 實驗結果討論 92 第七章 結論與展望 94 參考文獻 96 | |
dc.language.iso | zh-TW | |
dc.title | 兩端夾持固定之長度不受限制彈性體
於圓形通道內的變形 | zh_TW |
dc.title | Deformations of a Clamped-Clamped Elastica inside
a Circular Channel with Clearance | en |
dc.type | Thesis | |
dc.date.schoolyear | 95-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 周元昉(Yuan-Fang Chou),盧中仁(Chung-Jen Lu) | |
dc.subject.keyword | 夾持固定,板條,圓形通道,彈性理論,變形曲線, | zh_TW |
dc.subject.keyword | parially clamped,elastica,circular channel,sub-domains,deformation patterns, | en |
dc.relation.page | 138 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2007-07-17 | |
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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