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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 林輝政(Huei-Jeng Lin) | |
dc.contributor.author | Yu-Hsuan Liu | en |
dc.contributor.author | 劉羽軒 | zh_TW |
dc.date.accessioned | 2021-06-15T03:02:16Z | - |
dc.date.available | 2019-12-31 | |
dc.date.copyright | 2009-08-18 | |
dc.date.issued | 2009 | |
dc.date.submitted | 2009-07-30 | |
dc.identifier.citation | 1. Cornell W.D, Cieplak P, Bayly C.I, et al., 1995, A second generation force-field for the simulation of proteins, nucleic-acids, and organic molecules. Journal of American Chemical Society, 117(19), 5179–5197.
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/44514 | - |
dc.description.abstract | 本文以碳-碳鍵的能量曲線為出發點,配合結構力學對奈米碳管的基本力學性質,包括楊氏係數、剪力模數及自然振頻等做探討。本文簡述奈米碳管結構外觀,包函了扶手倚奈米碳管、鋸齒奈米碳管和對掌奈米碳管,並以石墨平面晶格向量捲曲成奈米碳管,計算晶格向量與奈米碳管半徑之相對關係,進一步利用碳-碳鑑結向量關係,計算不同半徑奈米碳管鍵角與鍵長,經計算發現半徑越大,鍵角與鍵長會趨近於石墨平面。而搭配Tersoff能量公式,以計算不同半徑奈米碳管之鍵結參數,再以能量函數相等關係,可把分子力學與結構力學連接起來,本文利用套裝軟體ANSYS進行有限元素法數值模擬計算奈米碳管之楊氏係數與剪力模數,本文發現奈米碳管半徑越大,楊氏係數與剪力模數則趨近於一定值。本文同時也計算奈米碳管前八個模態自然振頻,並發現奈米碳管在微小的變形量下,奈米碳管自然振頻有明顯的改變。 | zh_TW |
dc.description.abstract | In the study, the energy curve of carbon-carbon bonding is expressed. Then, the mechanical properties such as Young’s modulus, shear modulus and nature frequencies of nano-tubes are investigated by structural mechanics. Further, the nano-tubes including armchair, zigzag and chiral are described in the study. The nano-tube is shaped from rolling graphite lattice. The relation between lattice vectors and radius of nano-tube had been calculated. Thus, the bonding angles and length of nano-tube with various radiuses could be estimated by the relation. In the results, if the radius of nano-tube is large, the bonding angles and length of nano-tube is very close to those of graphite sheet. Moreover, the bonding parameters of nano-tube with various radiuses are also evaluated by Tersoff’s potential energy Equations. Therefore, the molecule mechanics and structural mechanics can be cooperated from the energy function. Furthermore, the FEM software, ANSYS, is used in simulation. In the numerical results, if the radius of a nano-tube is large, the Young’s modulus and shear modulus will tend to constants. Further, the nature frequencies of nano-tube, from the first mode to the eighth, had been also calculated in the study. In the results, the nature frequencies of nano-tube could vary with the change of the radius of nano-tube. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T03:02:16Z (GMT). No. of bitstreams: 1 ntu-98-R96525049-1.pdf: 5890194 bytes, checksum: bb0503cd392f865f36e48eac0842e4cf (MD5) Previous issue date: 2009 | en |
dc.description.tableofcontents | 摘要……………………………………………………………………Ⅰ
Abstract………………………………………………………………Ⅱ 目錄……………………………………………………………………Ⅲ 表目錄…………………………………………………………………Ⅴ 圖目錄…………………………………………………………………Ⅵ 第一章 緒論……………………………………………………….1 1-1 前言……………………………………………………………1 1-2 論文架構……………………...………………………………2 1-3 奈米碳管基構………………………………...………………4 1-4 石墨片和奈米碳管的映關係…………………………………5 第二章 奈米碳管碳-碳鍵力場常數的理論推導…………………8 2-1 奈米碳管的軸向彈性模數和浦松比…………………………9 2-2 扶手椅型奈米碳管……………………………………………10 2-3 碳-碳鍵應變能函數的計算…………………………………14 2-4 Tersoff potential應變能函數……………………………16 第三章 鑽石、石墨和奈米碳管的應變能曲線……………………25 3-1 鑽石……………………………………………………………25 3-2 石墨……………………………………………………………26 3-3 奈米碳管………………………………………………………27 3-4 以應變能函數來模擬分析奈米碳管的力場常數……………28 3-4-1 Kr值的計算…………………………………………29 3-4-2 Kθ、Kτ值的計算……………………………………29 3-4-3 Kθ、Kτ值的計算結果………………………………30 3-5 力場常數結果討論與比較……………………………………31 第四章 奈米碳管的力學性質分析………………………………44 4-1 三度空間梁元素的結構參數………………………………44 4-2 空間梁元素…………………………………………………44 4-3-1 分子力學的能量函數……………………………46 4-3-2 結構力學的能量函數……………………………47 4-4-1 石墨片的彈性係數………………………………………49 4-4-2 石墨片的分析結果………………………………………50 4-5 奈米碳管的彈性模數……………………………………50 4-5-1 奈米碳管彈性模數計算結果……………………………52 4-5-2 奈米碳管的剪力模數……………………………………52 4-5-3 奈米碳管剪力模數計算結果與討論……………………53 4-6 奈米碳管的動態分析………………………………………54 4-6-1 奈米碳管的自然振頻…………………………………54 第五章 結論與展望………………………………………………70 參考文獻…………………………………………………………72 表2-1 碳元素的數值……………………………………20 表3-1 奈米碳管的碳-碳鍵性質…………………………32 表3-2 奈米碳管的Kr值…………………………………32 表3-3 碳-碳鍵的Kθ、Kτ值……………………………33 表3-4 力場常數的比較…………………………………34 表4-1 石墨片彈性係數分析值…………………………56 表4-2 石墨片彈性模數比較值…………………………56 表4-3 3-D梁剖面參數…………………………………57 表4-4 奈米碳管彈性係數分析值………………………58 表4-5 奈米碳管彈性模數比較值………………………58 表4-6 3-D梁剖面參數…………………………………59 表4-7 奈米碳管受扭時在管壁的切向合力……………60 表4-8 奈米碳管剪力模數分析值………………………60 表4-9 奈米碳管剪力模數比較值………………………61 表4-10 碳管的自然振頻………………………………61 圖1.1 2-D石墨片示意圖………………………………6 圖1.2 奈米碳管結構示意圖…………………………7 圖1.3 奈米碳管電性示意圖…………………………7 圖2.1 石墨片的鍵結結構示意圖……………………21 圖2.2 奈米碳管受軸向力示意圖……………………21 圖2.3 扶手椅型奈米碳管具有代表性截距的前視圖22 圖2.4 扶手椅型奈米碳管具有代表性截距的等視圖22 圖2.5 (3,3)扶手椅型奈米碳管橫斷面示意圖……23 圖2.6 多層奈米碳管的分子結構圖…………………23 圖2.7 碳原子鍵結型態的示意圖……………………24 圖3.1 鑽石的四面體結構……………………………35 圖3.2 鑽石碳-碳鍵的應變能………………………35 圖3.3 石墨的六方排列結構…………………………36 圖3.4 石墨碳-碳鍵結的應變能……………………36 圖3.5 奈米碳管的六角排列結構……………………37 圖3.6 奈米碳管碳-碳鍵角示意圖的前視圖………37 圖3.7 奈米碳管碳-碳鍵角示意圖…………………38 圖3.8 Krb和直徑的關係圖…………………………38 圖3.9 Kra和直徑的關係圖…………………………39 圖3.10 鍵角撓曲的示意圖…………………………39 圖3.11 石墨片到碳管的變形圖……………………40 圖3.12 碳-碳鍵受扭曲時的變形圖…………………40 圖3.13 碳-碳鍵受扭曲時的變形圖…………………41 圖3.14 碳-碳鍵鍵角力場常數………………………41 圖3.15 2-D的石墨平面結構…………………………42 圖3.16 3-D的奈米碳管立體結構……………………42 圖3.17 Kθ和奈米碳管直徑關係圖…………………43 圖3.18 Kτ和奈米碳管直徑關係圖…………………43 圖4.1 三度空間梁元素………………………………62 圖4.2分子相互作用的示意圖(【3】)………………62 圖 4.3 梁元素受純軸力、撓曲和扭轉……………62 圖4.4 石墨片受力示意圖……………………………63 圖4.5各型石墨片示意圖……………………………63 圖4.6 石墨片受力後在X方向的變形圖……………64 圖4.7 石墨片受力後在Y方向的變形圖……………64 圖4.8 石墨片的彈性係數分佈圖……………………65 圖4.9 奈米碳管受軸向力示意圖……………………65 圖4.10 奈米碳管的變形圖…………………………66 圖4.11 各類型奈米碳管示意圖……………………66 圖4.12 奈米碳管彈性模數和直徑的關係圖………67 圖4.13 奈米碳管受扭曲力矩示意圖………………67 圖4.14 奈米碳管受扭變形圖………………………68 圖4.15 圖奈米碳管剪力模數和直徑的關係圖……68 圖4.16 奈米碳管振態圖……………………………69 圖5.1 奈米碳管參數計算流程圖…………………71 | |
dc.language.iso | zh-TW | |
dc.title | 有限元素法計算奈米碳管力學性質 | zh_TW |
dc.title | Mechanical Properties of the Carbon Nano-Tube with Finite Element Method | en |
dc.type | Thesis | |
dc.date.schoolyear | 97-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 李雅榮(Ya-Jung Lee),宋家驥(Chia-Chi Sung),郭彥閔(Yan-Min Kuo) | |
dc.subject.keyword | 楊氏係數,剪力模數,分子力學,有限元素,奈米碳管, | zh_TW |
dc.subject.keyword | shear modulus,molecule mechanics,structural mechanics,carbon nanotube, | en |
dc.relation.page | 74 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2009-07-30 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 工程科學及海洋工程學研究所 | zh_TW |
顯示於系所單位: | 工程科學及海洋工程學系 |
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