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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 吳賴雲(Lai -Yun Wu) | |
dc.contributor.author | Shih-Hong Yang | en |
dc.contributor.author | 楊士弘 | zh_TW |
dc.date.accessioned | 2021-06-15T06:45:14Z | - |
dc.date.available | 2016-08-09 | |
dc.date.copyright | 2011-08-09 | |
dc.date.issued | 2011 | |
dc.date.submitted | 2011-06-28 | |
dc.identifier.citation | 1.TIMOSHENKO, S., and WOINOWSKY-KRIEGER, S., Theory of Plates and Shells, 2nd ed.,McGraw-Hill Book Company, New York, 1959.
2.陳昇元,“新結點佈置法之SCM於薄板分析”,碩士論文,吳賴雲、鍾立來教授指導,國立台灣大學土木工程學研究所,2008。 3.Selvadurai A P S. Elastic Analysis of Soil-Foundation Interaction. Amsterdam: Elsevier,1979 4.Pickett G,McCormick F J. Circular and rectangular plates under lateral load and supported by an elastic solid foundation. Proceeding of the 1st US Natural Congress of Applied Mechanics,1951:331-338 5.Janes R L.Digital computer solution for pavement deflections.Journal of Portland Cement Association,1962,4(3):30-36 6.Bosakov S V. Calculation of a plate of finite stiffness in an elastic half space.Soil Mechanics and Foundation Engineering,1992,28(5):229-232 7.Chattopadhyay R, Ghosh A. Analysis of circular plates on semi-infinite elastic subgrade.Indian Jounral of Technology,1969,7:312-319 8.Chakravorty A K, Ghosh A. Finite difference solution for circular plates on elastic foundations. International Jounral for Numerical Methods in Engineering,1975,9:73-84 9.Melerski E S. Simple computer analysis of circular rafts under various axsymmetric loading and elastic foundation conditions.Proceedings of Institute of Civil Engineers,Part2:Research and Theory,1990,89:407-431 10.Zienkiewicz O C, Cheung Y K. The Finite Element Method in Structural and Continuum Mechanics. Lodon:McGraw-Hill,1967 11.Desai C S,Christian J T. Numerical Methods in Geotechnical Engineering. New York:McGraw-Hill,1977 12.Gudehns G. Finite Elements in Geomechanics.London:John Wiley,1977 13.Hinton E, Owen D R J. Finite Element Programming. London: Academic Press,1977 14.Brebbia C A. The Boundary Element Method for Engineers. London:Pertech Press,1978 15.Mackerle J, Brebbia C A. The Boundary Element Reference Book. New York: Computational Mechanics Publications,1988 16.吳賴雲、鐘立來、李文豪 基礎上彈性板之邊界元素法分析 八十六年電子計算機於土木水利工程應用論文研討會論文集(1997) 17.Jang, S. K., “Application of Differential Quadrature to Static Analysis of Structural Components”, PhD dissertation, The Univ. of Oklahoma, Norman, Okla. 1987. 18.Bellman, R., Kashef, B., and Casti, J., “Differential Quadrature, a Technique for the Rapid Solution of Nonlinear Partial Deifferential Equations.”, J. Computational Phys., Vol. 10, 1972, pp.40-52. 19.Prenter, P. M., “Spline and Variational Methods”, John Wiley & Sons, Inc., New York, N.Y.,1975. 20.Bert, C. W. & Youngkwang Sheu, “Static Analyses of Beams and Plates by Spline Collocation Method”, Journal of Engrg. Mevhanics, 1996, pp.375-378. 21.Gu, D. G., “Calculation in The Unsymmetric Bending Problems of Thin Plates by Spline Boundary Layer Method.”, Comp. And Struct., Vol.34, No. 4, 1997, pp.663-668. 22.FLUGGE , W. (Ed.), Handbook of Engineering Mechanics, McGraw-Hill Book Company, New York, 1962 23.Navier , L.M.H.,first lecture notes publish,Paris(1820) 24.曲慶章, “彈性板理論”,人民交通出版社(1999) 25.Lord Rayleigh. On the free vibrations of an infinite plate of homogeneous isotropic elastic matter. Proceedings of the London Mathematical Society,1889,10:225-234 26.Lamb H. On waves in an elastic plate. Proceedings of the Royal Society of London, 1917, 93:114-128 27.Leissa A W. The free vibration of rectangular plates. Jounral of Sound and Vibration, 1973, 31(3):363-377 28.CAO ZHI-YUAN,“VIBRATION THEORY OF PLATES AND SHELLS,中國鐵道出版社,1987 29.Theories and Applications of Plate Analysis: Classical, Numerical and Engineering Methods. R. Szilard Copyright c 2004 John Wiley & Sons, Inc. 30.GORMAN D J. Free Vibration Analysis of Rectangular Plates [M]. New York :ASCE1982 31.李善傾、袁鴻、王紅, “準格林函數數值方法在Winkler地基上簡支多邊形薄板震動問題中的應用”, 暨南大學學報。 32.謝洪陽 ,“彈性地基板動力問題的數值分析”,博士論文,華中科技大學,2006。 33.潘慶澤 ,“應用SCM於無阻尼薄板或梁結構之動力反應分析”,碩士論文,吳賴雲、鍾立來教授指導,國立台灣大學土木工程學研究所,2009。 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48054 | - |
dc.description.abstract | Winkler彈性基礎應用在薄板上已經非常普遍,由於其廣泛地運用在各類結構物中,所以對於其受荷載後的力學行為有探討研究之必要,以往有許多學者對於Winkler彈性基礎薄板受載重問題進行了研究,本文提出另一種分析問題的數值方法SCM(Spline Collocation Method),對於各種型式的問題諸如靜力問題、自由振動、動力反應進行了模擬分析。
SCM是以Spline function為基礎,配合結點佈置(Collocation)的方式,只需取得欲分析構件之控制方程式,變可將系統離散化得到解答的數值方法,利用建立之B spline table,配合邊界條件的運用,即能求得令人滿意之近似解。 本文將利用所推導之Winkler彈性基礎薄板之控制方程式,並將其應用於各Winkler彈性基礎薄板力學問題上,結合SCM求解的過程,利用編寫出的程式進行分析,最後也利用其他工程數值軟體來與SCM數值方法進行比較,以確認SCM為一種具有高準確性、便利性與可發展性的數值方法。 | zh_TW |
dc.description.abstract | The application of winkler elastic foundation plate is very general, because of its widely used in various types of structures, the research of its mechanical behavior under loading is essential, in the past, many Scholars just studied this problem, in this paper, we just presented an alternative numerical method to analyze issues which called SCM (Spline Collocation Method), applied it into various types of problems such as static problems, free vibration and dynamic response.
SCM is based on spline function, combined with knots collocation. After we getting system’s govern equation, withing B spline table and system’s boundary condition, this method can discrete system to receive approximation solutions. This article will use winkler elastic foundation plate’s G.E. and apply it into all kinds of mechanics problems. Combined with the process of solving the SCM, using program to analysis questions. Finally, this paper just used another engineering software analysis results compared with SCM. We can obtain and confirm SCM is a high-accuracy, convenience and can be developed numerical method. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T06:45:14Z (GMT). No. of bitstreams: 1 ntu-100-R98521247-1.pdf: 13359057 bytes, checksum: 89593123891b2585b514a5a8c72bb65c (MD5) Previous issue date: 2011 | en |
dc.description.tableofcontents | 目錄
口試委員審定書 i 誌謝 ii 摘要 iii 目錄 v 圖目錄 viii 表目錄 xvii 第一章 緒論 1 1-1薄板概念 1 1-2彈性基礎薄版概念 1 1-3彈性基礎模型 1 1-4研究動機與方法 2 1-5文獻回顧 2 1-6研究流程與內容 5 1-7論文架構 6 第二章 SCM理論基礎 7 2-1 Spline Collocation Method理論介紹 7 2-2 SCM在邊界條件的概念 9 2-3 SCM在時間方面的概念 9 2-4 SCM B Spline function 建立與表格化 10 2-5 表格化 16 2-6 SCM相關之運算說明 19 2-6-1 符號規定 19 2-6-2 載重模擬 19 2-7求解流程介紹 21 2-8誤差說明 22 第三章 應用SCM於Winkler彈性基礎薄板靜力分析 24 3-1薄板之基本假設 24 3-2薄板理論與控制方程式 25 3-3彈性基礎薄板理論與控制方程式 29 3-4 Winkler彈性基礎薄板邊界條件之分析探討 30 3-5應用新結點佈置法於Winkler彈性基礎薄板 37 3-6 SCM分析方法與Winkler彈性基礎薄板分析之結合 39 3-7應用SCM分析Winkler彈性基礎薄板流程 39 3-8 SCM分析Winkler彈性基礎薄板靜力問題 43 第四章 應用SCM於Winkler彈性基礎薄板動力分析 74 4-1彈性板的自由振動 74 4-2 Winkler彈性基礎上彈性板 74 4-3以SCM求解薄板之自由振動理論推導 75 4-4以SCM求解Winkler彈性基礎薄板自由振動理論推導 77 4-5 Winkler彈性基礎薄板邊界條件之分析探討 79 4-6利用SCM分析Winker彈性基礎薄板自由振動流程 80 4-7 SCM分析Winker彈性基礎薄板自由振動實例 82 4-8應用SCM於Winkler彈性基礎薄板之動力分析 159 4-9 SCM空間離散方式 159 4-10 SCM時間離散方式 162 4-11利用SCM分析Winkler彈性基礎薄板動力計算流程 163 4-12 SCM分析Winkler彈性基礎薄板實例 166 第五章 結論與未來展望 189 5-1 結論 189 5-2 未來展望 191 參考文獻 192 附錄A [ Forward Difference Method] 195 附錄B Winkler彈性基礎薄板SCM動力分析 198 附錄C* Winkler彈性基礎薄板結點佈置原理 205 附錄D 210 使用SAP2000求解Winkler薄板靜力問題 210 使用SAP2000求解Winkler薄板自由振動頻率問題 210 使用SAP2000 求解Winkler薄板動力問題 211 | |
dc.language.iso | zh-TW | |
dc.title | 應用SCM於Winkler彈性基礎薄板受載重分析 | zh_TW |
dc.title | Dynamic Analysis of Thin Plates on Winkler Elastic Foundation by Using SCM | en |
dc.type | Thesis | |
dc.date.schoolyear | 99-2 | |
dc.description.degree | 碩士 | |
dc.contributor.coadvisor | 鍾立來(Li-Lai Chung) | |
dc.contributor.oralexamcommittee | 陳永祥(Yung-Hsiang Chen),徐德修(Te-Hsiu Hsu),王仁佐(Jen-Tso Wang) | |
dc.subject.keyword | 楔型函數結點佈置法,Winkler彈性基礎,靜力分析,自由振動,動力反應, | zh_TW |
dc.subject.keyword | Spline Collocation Method,Winkler elastic foundation,static problems,free vibration,dynamic response, | en |
dc.relation.page | 211 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2011-06-28 | |
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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