請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/71976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 | Guan-Wei Chen | en |
| dc.contributor.author | 陳冠瑋 | zh_TW |
| dc.date.accessioned | 2021-06-17T06:17:25Z | - |
| dc.date.available | 2018-09-03 | |
| dc.date.copyright | 2018-09-03 | |
| dc.date.issued | 2018 | |
| dc.date.submitted | 2018-08-20 | |
| dc.identifier.citation | [1] A. Klarbring, On discrete and discretized non-linear elastic structures in unilateral contact (stability, uniqueness and variational principles), Int. J. Solids Struct. 24 (1988) 459-479.
[2] X. Chateau, Q.S. Nguyen, Buckling of elastic structures in unilateral contact with or without friction, Eur. J. Mech. A-Solid 1 (1991) 71-89. [3] R.S. Manning, G.B. Bulman, Stability of an elastic rod buckling into a soft wall, Proc. R. Soc. A 461 (2005) 2423-2450 [4] J.-S. Chen, C.-J. Lu, C.-Y. Lee, On the use of energy method with element splitting to determine the stability of a constrained elastica, International Journal of Non-Linear Mechanics 76 (2015) 77-86. [5] J.-S. Chen, W.-C. Ro, Deformations and stability of an elastica subjected to an off-axis point constraint, ASME Journal of Applied Mechanics 77 (2010) 031006, 2010. [6] J.-S. Chen, H.-C. Li, W.-C. Ro, Slip-through of a heavy elastica on point supports, International Journal of Solids and Structures 47 (2010) 261–268. [7] W.-C. Ro, J.-S. Chen, S.-Y. Hung, Vibration and stability of a constrained elastica with variable length, Int. J. Solids Struct. 47 (2010) 2143-2154. [8] J.-S. Chen, H.-H. Wu, Response of a buckled beam constrained by a tensionless elastic foundation, ASCE Journal of Engineering Mechanics 137 (2011) 383-389. [9] J.-S. Chen, S.-Y. Hung, Deformation and stability of an elastica constrained by curved surfaces, International Journal of Mechanical Sciences 82 (2014) 1-12. [10] S. Katz, S. Givli, The post-buckling behavior of a beam constrained by springy walls, Journal of the Mechanics and Physics of Solids 78 (2015) 443–466. [11] S. Katz, S. Givli, The postbuckling behavior of planar elastica constrained by a deformable wall, ASME, J. Appl. Mech. 84 (2015) 051001. [12] J.-S. Chen, C.-S. Wen, Deformation and vibration of a buckled beam constrained by springy walls. [13] J.-S. Chen and H.-H. Wu, Deformation and stability of an elastica under a point force and constrained by a flat surface, International Journal of Mechanical Sciences 53 (2011) 42-50. [14] M. Hetenyi, Beams on Elastic Foundation. The University of Michigan Press, Ann Arbor, 1946. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/71976 | - |
| dc.description.abstract | 在本文中，我們研究了兩端銷接並受對稱橫向拘束的彈性板條(elastica)變形及穩定性分析。其中的橫向拘束包含剛性壁與彈簧壁，這是一個高度非線性的力學問題在一個固定負載下可能會存在數個平衡位置。文中使用shooting method做靜態分析，做出所有的變形軌跡(load-deflection curves)，構成橫軸為負載、縱軸為端點位移的變形地圖(Deformation map)，並比較剛性壁與撓性壁拘束下變形軌跡的差異，以及在不同的彈簧常數對其變形軌跡的影響。在振動分析中，本文以振動法去檢驗各式變形的穩定性，以靜態結果為基礎，分別用負載控制與位移控制檢視各變形的穩定性。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-17T06:17:25Z (GMT). No. of bitstreams: 1 ntu-107-R05522538-1.pdf: 1543127 bytes, checksum: 085546b1c1af307b37236622bbdab9bf (MD5) Previous issue date: 2018 | en |
| dc.description.tableofcontents | 目錄
摘要 1 目錄 2 圖目錄 4 第一章 導論 6 第二章 剛性壁拘束之理論模型與平衡方程式 8 2.1 理論模型 8 2.2 受剛性壁拘束下的靜態變形 9 2.2.1 一點接觸 11 2.2.2 線接觸 12 2.2.3 上兩點接觸 13 2.2.4 上下兩點接觸 14 2.3 靜態求解方法 15 第三章 振動與穩定性分析 19 3.1 Lagranian 和 Eulerian描述式 19 3.2 邊界條件與轉換方程式 24 3.3 動態求解方法 26 第四章彈簧壁拘束之理論模型與平衡方程式 31 4.1 理論模型 31 4.2 靜態變形分析 32 4.2.1一線接觸 33 4.2.1兩線接觸 35 4.2.3上下兩線接觸 36 4.3 求解方法 37 第五章 振動與穩定性分析 42 5.1 Lagranian和Eulerian描述式 42 5.2 邊界條件與轉換方程式 47 5.3 動態求解方法 49 第六章 結論 51 參考文獻 52 附錄一 55 附錄二 65 附錄三 68 附錄四 71 附錄五 73 附錄七 79 附錄八 82 | |
| dc.language.iso | zh-TW | |
| dc.title | 受側向拘束大變形銷接樑的變形地圖 | zh_TW |
| dc.title | Deformation map of pinned-pinned constrained elastica | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 106-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 盧中仁(Lu, Chung-Jen),莊嘉揚(Jia-Yang Juang) | |
| dc.subject.keyword | 挫曲樑,面拘束,彈簧牆,穩定性, | zh_TW |
| dc.subject.keyword | line constrained,elastica,stability,winkler, | en |
| dc.relation.page | 81 | |
| dc.identifier.doi | 10.6342/NTU201804066 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2018-08-20 | |
| 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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