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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 陳振山(Jen-San Chen) | |
dc.contributor.author | Ming-Yen Tsai | en |
dc.contributor.author | 蔡明延 | zh_TW |
dc.date.accessioned | 2021-06-15T11:13:10Z | - |
dc.date.available | 2019-09-13 | |
dc.date.copyright | 2016-09-13 | |
dc.date.issued | 2016 | |
dc.date.submitted | 2016-08-21 | |
dc.identifier.citation | [1] Goriely, A., 2006. Twisted elastic rings and the rediscoveries of Michell’s Instability. J. Elasticity 84, 281-299.
[2] Thomson, W.T. and Tait, P.G., 1867. Treatise on natural philosophy. Cambridge. [3] Zajac, E. E., 1962. Stability of two planar loop elasticas. Transactions of the ASME, 136-142. [4] Michell, J.H., 1990. On the stabillity if a bent and twist wire. Messenger of Math 11, 181-184. [5] Benham, C.J.,1977. Elastic model of supercoiling. Proc. Nat. Acad. Sci. USA 74, 2397-2401. [6] Benham, C.J., 1979. An elastic model of the large structure of duplex DNA. Bioploymers 18, 609–623. [7] LeBret, M., 1979. Catastrophic variations of twist and writhing of circular DNA with constraint? Bioploymers 23, 1709-1725. [8] Yang, Y., Tobias, I. and Olson, W. K., 1993. Finite element analysis of DNA supercoiling. Chem. Phys. 98, 1673-1686. [9] Tobias, I., Colman, B.D. and Olson, W. K., 1994. The dependence of tertiary structure on end condition: Theory and implications for topological transitions. Chem. Phys. 101, 10990-10996. [10] Tobias, I. ,Swigon, D. and Coleman, B.D., 2000. Elastic stability of DNA configurations. I. General theory. Phys. Rev E. 61, 741-758. [11] Coleman, B.D., Swigon, D. and Tobias, I., 2000. Elastic stability of DNA configurations. II. Supercoiled plasmids with self-contact. Phys. Rev E. 61, 759-770. [12] Coleman, B.D. and Swigon, D., 2000. Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids, J. Elasticity 60: 173–221. [13] Coleman, B.D. and Swigon, D., 2004. Theory of self-contact in Kirchhoff rods with applications to supercoiling of knotted and unknotted DNA plasmids. Roy. Soc. Lond. A, 362, 1281-1299. [14] Li, S.-Y. and Chen, J.-S., 2014. A twisted elastica constrained Inside a tube. J. Mech. 44, 61-74. [15] Fafrad, M. and Massicotte, B., 1993. Geometrical interpretation of arc-length method. Computers & Structures. 46, 4, 603-615. [16] Goss, V.G.A., van der Heijden, G.H.M., Thompson, J.M.T. and Neukirch, S., Gere, J.M., 2005. Experiments on snap buckling, hysteresis and loop. Exp. Mech. 45, 101-111. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48992 | - |
dc.description.abstract | 考慮一圓形截面的直桿彎成圓環,讓兩端截面面對面無限靠近。本文將藉由理論模型與實驗操作探討當兩端截面相對夾一轉角差時的現象。我們以兩端截面轉角差及其所對應的扭矩為主要變數。數值模型方面採用elastica模型來模擬圓環並搭配shooting method求解。以半徑長度比為0.001的圓環進行數值模擬發現,當轉角差達到15.24 (rad)時,原來的圓形型態將跳躍成空間的兩點接觸。若繼續增加轉角差,圓環將從兩點接觸漸漸的轉變成三點接觸直到點線點接觸為止。 實驗方面,我們設計了一個簡單的裝置,控制兩端截面轉角差並量測扭矩。我們比較實驗結果與理論預測大致上吻合,尤其在分歧點時之跳躍行為。但在高轉角差時誤差加劇。估計這些實驗與理論之間的誤差主要產生於實驗安裝時的誤差及高轉角時試件產生塑性變形所導致。 | zh_TW |
dc.description.abstract | Consider an initially straight rod of circular cross section bent into a circular ring so that the cross sections of the two ends meet face to face. In this paper we study, both theoretically and experimentally, the behavior of the ring as the relative rotation between the two end cross sections increases quasi-statically. The variables of interest are the relative rotation angle and the corresponding twisting moment. In theoretical aspect the ring is modeled as elastica and its deformation is calculated by shooting method. It is found that a ring with dimensionless rod radius 0.001 jumps to a two-point self-contact deformation when the relative rotation angle increases to a critical value. As the rotation angle continues to increase, the deformation evolves smoothly to three-point contact and finally to point-line-point contact. In the experiment we build a simple device to control the relative rotation angle between the two end cross sections. Measumements of twisting moment and relative rotation angle are recorded and compared with theoretical prediction. Reasonable agreement between experiment and theory is observed. Installation misalighment and plastic deformation of the rod are the main causes of discrepancy between theory and experiment. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T11:13:10Z (GMT). No. of bitstreams: 1 ntu-105-R03522524-1.pdf: 1820102 bytes, checksum: 4feff0df01d00bb053e074cf4b629542 (MD5) Previous issue date: 2016 | en |
dc.description.tableofcontents | 目錄
摘要 i Abstract ii 目錄 iii 附圖目錄 iv 第一章 導論 1 第二章 理論模型 3 2.1無接觸 6 2.2多點接觸 8 2.3線接觸 9 第三章 數值方法 15 3.1猜值預測 15 3.2 Fix Point法、Pseudo法及Crisfield法 17 3.3 極點處理 19 第四章 數值結果分析 21 4.1 特性分析 21 4.2 扭矩分析 24 第五章 實驗方法與結果分析 26 第六章 結論 29 參考文獻 30 附錄 56 附表 61 | |
dc.language.iso | zh-TW | |
dc.title | 圓環受扭矩作用下的理論與實驗 | zh_TW |
dc.title | Experiment and theory on a twisted ring under quasi-static loading | en |
dc.type | Thesis | |
dc.date.schoolyear | 104-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 單秋成(Chow-Shing Shin),莊嘉揚(Jia-Yang Juang) | |
dc.subject.keyword | 受扭矩圓環,自我接觸,shooting method, | zh_TW |
dc.subject.keyword | twisted ring,self-contact,shooting method, | en |
dc.relation.page | 61 | |
dc.identifier.doi | 10.6342/NTU201603327 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2016-08-22 | |
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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