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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 吳賴雲 | |
| dc.contributor.author | Yi-Jui Huang | en |
| dc.contributor.author | 黃奕叡 | zh_TW |
| dc.date.accessioned | 2021-06-13T03:21:29Z | - |
| dc.date.available | 2016-08-09 | |
| dc.date.copyright | 2011-08-09 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-07-29 | |
| dc.identifier.citation | 參考文獻
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/31829 | - |
| dc.description.abstract | 本文以前進差分法(Forward Difference Method)所推導出之Spline function為出發點，並配合節點佈置(Collocation)的方式，發展出一種數值分析方法，即為楔型函數結點布置法(Spline Collocation Method ,SCM)；再利用先前所得之各階Spline function，經由反覆迭代之過程，整理製作出完整的B Spline Value Table，以便於使用簡單的查表方式求得相關數值。
同時將楔形函數結點布置法(Spline Collocation Method ,SCM)所延伸發展之MSCM(Modified Spline Collocation Method)應用於奈米管之挫屈，此種帶有特徵現象之問題，分析其各模態之臨界負載與其收斂情況，觀察其準確性及收斂性。且考慮奈米管承受軸向及橫向力求解中點撓度、兩端轉角及中點彎矩，並繪其變形曲線、內力曲線並導入不同之邊界條件。 本文的宗旨為證明SCM確有其優勢所在，為一種具有高準確性、便捷性與可應用性的數值方法，值得作進一步之結構分析研究。 | zh_TW |
| dc.description.abstract | In this article, I use spline function inferred from Forward Difference Method as a starting point, and it is coordinated with collocation to develop a numerical analyses method, called SCM(Spline Collocation Method).Then, using any order spline function solved early and make a complete B spline value table by calculating repeatedly and it will also be advantageous to our use.
In the same time, using MSCM(Modified Spline Collocation Method) inferred from SCM to solve some eigenvalue problems about buckling of nanotube and analysis its every model buckling load and convergence. make a study of the accuracy and astringency by comparing the numerical analyses solutions with exact solutions. And consider a nanotube under axis load and transvers load to solve displacement of middle point, rotation of end point, shear of middle point and draft a deformation diagram and internal force diagram , substitute different boundary condition to solve the numerical analyses solutions. The purpose of this article is used for proving that the advantages of SCM is excellent and it is a numerical analyses method which has accuracy ,convenience and applications. Therefore, SCM is worthy to research in structural analyses in depth. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T03:21:29Z (GMT). No. of bitstreams: 1 ntu-100-R98521233-1.pdf: 39526145 bytes, checksum: fd92525c6a904db6fda9aab3d1e73004 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | 目錄
口試委員審定書 i 致謝 ii 摘要 iii Abstract iv 第一章 導論 1 1-1 前言 1 1-2 文獻回顧及研究方法 3 1-3 研究目的 6 1-4 研究內容 6 第二章 SCM基礎理論介紹 7 2-1 SCM理論介紹 7 2-2 SCM理論推導 8 2-3 Modified Spline Collocation Method (MSCM) 理論推導 16 2-4 SCM的符號規定 20 2-6 SCM求解流程介紹 24 第三章 推導奈米管挫屈問題之解析解 25 3-1 奈米管基本性質介紹 25 3-2 變分學原理及能量密度之非局域理論 27 3-3 高階控制方程式及邊界條件 30 3-4 在不同邊界條件下的奈米管挫屈 32 3-4-1 簡支奈米管(Simply Supported Nanotube) 32 3-4-2 懸臂奈米管(Cantilever Nanotube) 33 3-4-3 兩端固定奈米管(Fully Clamped Nanotube) 34 3-4-4 一端固定一端簡支奈米管(Simply Supported Nanotube) 35 3-5 奈米管在介入橫向分布載重之控制方程式 36 第四章 彈性奈米管挫屈問題之SCM近似分析 38 4-1 以SCM求解簡支奈米管軸力作用下發生挫屈時，矩陣的建立 38 4-2 以SCM求解奈米管發生挫屈時之邊界條件 42 4-3 以SCM求解奈米管受軸力橫向力發生挫屈時，載重矩陣之模擬 45 4-4 以SCM求解奈米管發生挫屈之求解流程 47 4-4-1 僅有軸力作用下 47 4-4-2 橫向載重介入下 49 第五章 實際案例分析 51 實例一 簡支奈米管受軸力作用之挫屈分析實例 51 實例二 懸臂奈米管受軸力作用之挫屈分析實例 56 實例三 兩端固定奈米管受軸力作用之挫屈分析實例 61 實例四 一端固定一端簡支奈米管受軸力作用之挫屈分析實例 65 實例五 一端固定一導向支承奈米管受軸力作用之挫屈分析實例 70 實例六 一端簡支一導向支承奈米管受軸力作用之挫屈分析實例 74 實例七 簡支奈米管受中點集中載重及軸向負載之分析實例 78 實例八 簡支奈米管受偏心軸向負載之分析實例 81 實例九 簡支奈米管受端彎矩及軸向負載之分析實例 84 實例十 簡支奈米管受均布載重及軸向負載之分析實例 87 實例十一 簡支奈米管受分布載重及軸向負載之分析實例 90 第六章 結論與未來展望 93 6-1 結論 93 6-2 未來展望 95 參考文獻 96 附錄 99 簡 歷 104 | |
| dc.language.iso | zh-TW | |
| dc.subject | 挫屈 | zh_TW |
| dc.subject | 楔型函數結點布置法 | zh_TW |
| dc.subject | 前進差分法 | zh_TW |
| dc.subject | 節點布置 | zh_TW |
| dc.subject | 奈米管 | zh_TW |
| dc.subject | Nanotube | en |
| dc.subject | buckling | en |
| dc.subject | Spline Collocation Method (SCM) | en |
| dc.subject | Forward Difference Method | en |
| dc.subject | Collocation | en |
| dc.title | 應用SCM於奈米管之挫屈分析 | zh_TW |
| dc.title | Buckling Analysis of Nanotube
by Using Spline Collocation Method | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 鍾立來,陳永祥,徐德修,王仁佐 | |
| dc.subject.keyword | 楔型函數結點布置法,前進差分法,節點布置,奈米管,挫屈, | zh_TW |
| dc.subject.keyword | Spline Collocation Method (SCM),Forward Difference Method,Collocation,Nanotube,buckling, | en |
| dc.relation.page | 104 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2011-07-29 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
| 顯示於系所單位： | 土木工程學系 | |
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