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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 吳光鐘(Kuang-Chong Wu) | |
| dc.contributor.author | Chin-Ming Chang | en |
| dc.contributor.author | 張之珉 | zh_TW |
| dc.date.accessioned | 2021-06-15T04:22:42Z | - |
| dc.date.available | 2011-10-13 | |
| dc.date.copyright | 2009-10-13 | |
| dc.date.issued | 2009 | |
| dc.date.submitted | 2009-10-05 | |
| dc.identifier.citation | [1] K.-C. Wu ,2000, ‘‘Nonsingular Boundary Integral Equations for Two-Dimension Anisotropic Elasticity’’ ASME J.Appl. Mech. Sep, Vol 67, pp.618-620
[2] K.-C. Wu ., Y-T. Chiu, and, Z.-H Hwu,1992‘‘A New Boundary Integral Equation Formulation for Linear Elastic Solids,’’ ASME J. Appl. Mech, June., Vol 59, pp. 344-348. [3] S.P. Timoshenko and J.N.Goodier., 1970, Theory of Elasticity/ third edition McGraw-Hill, New York. [4] K.-C. Wu and Chiun-Tsan Chen, 1996, ‘‘Stress Analysis of Anisotropic Elastic V-Notched Bodies’’ Int.J.Sloids Sructures, Vol 33, No. 17, pp.2403-2416. [5] K.-C. Wu and Yu-Tsung Chin, 1998, ‘‘Analysis for Elastic Strips Under Concentrated Loads’’ J. Appl. Mech. Sep,65 pp.626-635 [6] T.C.T, Ting ., 1996, Anisotropic Elasticity-Theory and Application, Oxford University Press,New York. [7] George Lindfield,John Penny,黃俊銘 編譯, 2003, 數值方法-使用Matlab程式 語言/第二版, 全華科技圖書股份有限公司,台北市 [8] 陳蓉珊, 2006, ‘‘The Static and Dynamic Analysis of a Piezoelectric Composite Plate 壓電層板之靜態與動態分析’’,碩士論文,國立台灣大學應用力學研究所, [9] D.Hull and D.J.Bacon, 1985, Introduction to Dislocation /Third Edition, Oxford [Oxfordshire] , New York, Pergamon Press,. [10] 陳正宗,洪宏基合著, 1992, 邊界元素法 第二版, 新世界出版社,台北市 [11] 洪維恩, 2005, MATLAB7程式設計 ,旗標出版公司,台北市 [12] Arthur P. Boresi and Ken P. Chong., 2000, Elasticity in Engineering Mechanics/Second Edition, New York ,Wiley [13] Marcelo Elgueta, 2002, ‘‘Evaluation of Weibull’s Parameters Considering The Seewald-Karman Effect’’ ,(http://cabierta.uchile.cl/revista/20/articulos/pdf/paper4.doc) [14] L. N. G. Filon, 1903, ‘‘On an approximate solution for bending of a beam of rectangular cross-section under any system of load , with special reference to point of concentrated or discontinuous loading’’, Transactions of the Royal Society of London, Vol. A201, pp.63-155. [15] R.C.J. Howland, 1929, ‘‘Stress Systems in an Infinite Strip’’ , Proc. Roy. Soc.(London), Vol.124 , pp.89-119. [16] T.D. Gerhardt., and J.Y. Liu., 1983, ‘‘Orthotropic Beams Under Normal and Shear Loading,’’ ASCE Journal of Engineering Mechanics, Vol. 109, No. 2, pp.394-410. [17] G. Baker., M.N. Pavlovic., and N. Tahan., 1993, ‘‘An exact solution to the two-diemensional elasticity problem with rectangular boundaries under arbitrary edge forces,’’ Philosophical Transactions of the Royal Society of London, Vol 343, pp.307-336. [18] V.T. Buchwald., 1964, ‘‘Eigenfunctions of plane elastostatics,’’ Proceedings of the Royal Society of London., Vol 227, pp.385-400. [19] J. Fadle., 1941, ‘‘Die Selbstspannungs-Eigenwerfuncktionen der quadratischen Scheibe,’’ Ingenieur-Arch., Vol 11, pp.125-148. [20] M.Z. Wang., T.C.T. Ting., and G. Yan., 1993, ‘‘The anisotropic elastic semi-infinite strip,’’ Quarterly of Applied Mathematics, Vol 46, pp. 109-120. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45483 | - |
| dc.description.abstract | 本文的目的在於探討二維正向性無限平板受到集中力作用所產生應力情形。其內容有無限板受到 方向集中力作用，無限板受到 方向集中力作用，無限板受到兩點集中力模擬純彎矩，無限板受到三點集中力模擬彎曲四種不同情形。其中無限板受到 方向集中力作用，無限板受到 方向集中力作用為基本解，且無限板受到兩點集中力模擬純彎矩，無限板受到三點集中力模擬彎曲可由基本解疊加後得到結果。
本文將上面四種模型的應力分成兩部份，第一個部份為材料力學部份產生支應力，第二個部份為在集中力附近所產生的應力分佈，稱之為西華德-逢卡門修正項(Seewald-von Karman correction)，本文稱其為局部區域效應(Local effect)。此兩部分的應力相加為無限板受集中力作用之完整解。材料力學解的部份有使用到尤拉-伯努利樑理論以及受到 方向集中力作用的理論。局部區域效應部份的應力使用到非奇異性的二維異向性材料之邊界積分方程式來計算。 | zh_TW |
| dc.description.abstract | The objective of this thesis is to discuss the stress distribution of concentrated forces acting on a two-dimensional infinite plate made of an elastic orthotropic material. The loading cases considered include: (a.) a horizontal concentrated force at the center of the plate; (b.) a vertical concentrated force on the plate surface; (c.) two non-collinear concentrated forces on the top and bottom plate surfaces simulating pure bending; and (d.) three concentrated forces on the plate surfaces simulating three-point bending.
In this study the elasticity solutions are separated into two parts. The first part is the solution obtained by the mechanics-of-materials approach, while the second part is a correction term called Seewald-von Karman correction. The Seewald-von Karman correction is calculated using nonsingular boundary integral equations. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T04:22:42Z (GMT). No. of bitstreams: 1 ntu-98-R96543072-1.pdf: 6616462 bytes, checksum: 3bbd62d0f05765c40fd8f2b4968c3472 (MD5) Previous issue date: 2009 | 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 目錄…………………………………………………………………………………....v 圖目錄………………………………………………………………………..…….vii 表目錄………………………………………………………………………………x 第一章 序論…..……………………………………………………………………1 1.1序論………………………………….……………………………………...1 1.2文獻回顧……..…………………………….……………………………….2 1.3 研究動機…………………………………………………………………...3 1.4 論文架構…………………………………………………………….……..3 第二章 基本方程式和組成律………………..………………………………………4 2.1彈性力學基本方程式……………………………………............................4 2.2 組成律……………………………………………………………………...4 2.3 Stroh’s Formulation…………………………………………………………6 2.4無限域格林函數(Green’s Function)的解…………………………………..8 2.5 非奇異性之對偶積分方程式……………………………………………...10 第三章 無限板受集中力之影響…………………………………………………....13 3.1無限板受x1方向單點集中力及徹體力影響…….……………………….13 3.2無限板受x2方向單點集中力及徹體力影響……………………………..17 3.3無限板受兩點集中力模擬板受到純彎矩影響……………….………….24 3.4無限板受三點集中力模擬板受彎曲影響……..……………………...….29 第四章 數值分析及結果……………………………………………………………36 4.1 材料常數以及板之尺寸………………………………………………….36 4.2無限板受x1方向單點集中力作用之結果……………..…………………38 4.3無限板受x2方向單點集中力作用之結果………………………..……......41 4.3.1 材料為正規化之等向性材料……………………………………41 4.3.2 材料為纖維方向在x1方向和x2方向的乙烯基酯樹脂…………48 4.4無限平板受兩點集中力作用模擬板受純彎矩之結果…………………..55 4.5無限平板受三點集中力作用模擬板受彎曲之結果……………………..62 第五章 結論…………………………………………………………………………67 參考文獻……………………………………………………………………………..69 | |
| dc.language.iso | zh-TW | |
| dc.subject | 異向性材料 | zh_TW |
| dc.subject | 西華德-逢卡門修正項 | zh_TW |
| dc.subject | 非奇異性邊界積分方程式 | zh_TW |
| dc.subject | 無限板 | zh_TW |
| dc.subject | 集中力 | zh_TW |
| dc.subject | Infinite plate | en |
| dc.subject | Orthotropic Material | en |
| dc.subject | concentrated force | en |
| dc.subject | Seewald-von Karman correction | en |
| dc.subject | Boundary Integral Equation | en |
| dc.title | 彈性板受集中載重之分析 | zh_TW |
| dc.title | Analysis of Elastic Strips under Concentrated Loads | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 馬劍清,陳東陽,張正憲 | |
| dc.subject.keyword | 西華德-逢卡門修正項,非奇異性邊界積分方程式,無限板,集中力,異向性材料, | zh_TW |
| dc.subject.keyword | Seewald-von Karman correction,Boundary Integral Equation,Infinite plate,concentrated force,Orthotropic Material, | en |
| dc.relation.page | 70 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2009-10-06 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| 顯示於系所單位： | 應用力學研究所 | |
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|---|---|---|---|
| ntu-98-1.pdf 未授權公開取用 | 6.46 MB | Adobe PDF |
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