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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 吳賴雲 | |
dc.contributor.author | Chun-Wei Chou | en |
dc.contributor.author | 周君蔚 | zh_TW |
dc.date.accessioned | 2021-06-15T03:55:54Z | - |
dc.date.available | 2015-06-28 | |
dc.date.copyright | 2010-06-28 | |
dc.date.issued | 2010 | |
dc.date.submitted | 2010-06-23 | |
dc.identifier.citation | 1. Bellman,R.E.and Casti,J., “Differential Quadrature and
Long-term Integration,”Journal of Mathematical Analysis and Applications, Vol. 34, pp. 235-238 (1971). 2. Jang,S.K., “Application of Differential Quadrature to Static Analysis of Structural Components,” PhD dissertation, The Univ. of Oklahoma, Norman, Okla. (1987). 3. Jang S.K. ,Bert, C.W. and Striz, A.G., “Application of Differential Quadrature to Static Analysis of Structural Components,” Int. J. Numerical Methods in Engrg., 28, pp. 561-577 (1989). 4. Wang,X. and Bert,C.W., “A New Approach in Applying Differential Quadrature to Static and Free Vibrational Analysis of Beams and Plates,” J. Sound and Vibration,162(3), pp. 566-573 (1993). 5. Chen,C.N.,“Vibration of Prismatic Beam on an Elastic Foundation by the Differential Quadrature Element Method,” Computers and Structures, 77, pp. 1-9 (2000). 6. Prenter, P.M., “Splines and Variational Methods,” John Wiley & Sons, Inc., New York, N. Y. (1975). 7. Bert,C.W. and Sheu, Youngkwang, “Static Analyses of Beams and Plates by Spline Collocation Method,” Journal of Engineering Mechanics, 122(4), pp. 375-378 (1996). 8. S.P. Timoshenko and J.M. Gere,”Theory of Elastic Stability,”2nd ed, N.Y:McGraw-Hill Book Company.(1961). 9. L.Prandtl,”Kipperscheinungen(Dissertation,Munich,1899). 10.A.G.M.Michell,”Elastic Stability of Long /beams Under Transverse Forces, ”Philosophic Magazine,Vol.48. (1899). 11.S.Timoshenko,”Einige Stability-problem der Elastical- theory,”Zeitschrift fur Mathmatical and Physical,Vol.58.(1910). 12.Chen,W.F. and Lui,E.M. “Structural Stability:Theory and Implementation ,”Amsterdam,London. (1987). 13.Irving,H.Shames and Clive,L.Dym, “Energy and Finite Element Methods in Structural Mechanics,” McGraw-Hill, New York, . (1985). 14.Warburton,G.B. “The Dynamical Behaviour of Structures (Second Edition) ,”Oxford, New York, (1976). 15.Alexander Chajes,” Principles of structural stability theory,” Prentice-Hall, (1974). 16.江柏青〝應用SCM於彈性柱之分析研究〞, 國立台灣大學土木工 程學研究所碩士論文,吳賴雲教授指導,民國九十二年六月。 17.楊耀昇〝應用SCM於Timoshenko梁之分析研究〞, 國立台灣大學 土木工程學研究所碩士論文,吳賴雲教授指導,民國九十二年六 月。 18.溫谷琳〝應用SCM於圓板之分析〞, 國立台灣大學土木工程學研 究所碩士論文,吳賴雲教授指導,民國九十二年六月。 19.林明賢〝應用SCM於剪變形梁柱之自由振動分析〞, 國立台灣大 學土木工程學研究所碩士論文,吳賴雲教授指導,民國九十七年 六月。 20.陳宣汶〝應用SCM於厚板分析〞, 國立台灣大學土木工程學研究 所碩士論文,吳賴雲教授指導,民國九十八年六月。 21.藍志達〝應用DQEM分析受軸向分佈力的尤拉樑挫曲問題〞,國立 成功大學系統及船舶機電工程學研究所碩士論文,陳長鈕教授指 導,民國九十六年七月。 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/44828 | - |
dc.description.abstract | 本文以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SCM(Spline Collocation Method);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。
同時吾人將SCM (Spline Collocation Method)所延伸發展之MSCM(Modified Spline Collocation Method)應用於彈性梁之側向扭轉挫屈(Lateral Torsional Buckling)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、中點撓度與其收斂情況、雙向挫屈形狀以及單向撓曲變形曲線,並導入不同之主要剛度比,再將各項數值解與精確解作比較,觀察其準確性及收斂性。 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,I use 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,I use MSCM(Modified Spline Collocation Method) inferred from SCM to solve some eigenvalue problems about lateral torsional buckling of elastic beams,and analysis its every model buckling load and convergence, displacement of middle point and convergence,double direction buckling shapes,and one direction deflection curve.And then,I use different primary stiffiness ratio to solve the numerical analyses solutions,and make a study of the accuracy and astringency by comparing the numerical analyses solutions with exact solutions. The purpose of this article is used for proving that the advantages of SCM is exellent,and it is a numerical analyses method which has accuracy ,convenience,and applications.Therefore,SCM is worthy to reserch in structral analyses in depth. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T03:55:54Z (GMT). No. of bitstreams: 1 ntu-99-R96521234-1.pdf: 2380124 bytes, checksum: 5ebf5226ea1b2f5f99a3df1157c5bb99 (MD5) Previous issue date: 2010 | en |
dc.description.tableofcontents | 論文口試委員審定書
誌謝I 中文摘要III AbstractIV 第一章 導論9 1-1 前言9 1-2 文獻回顧及研究方法12 1-3 研究目的14 1-4 研究內容15 第二章 SCM基礎理論介紹16 2-1 SCM理論介紹16 2-2 SCM理論推導18 2-3 Modified Spline Collocation Method (MSCM)理論推導26 2-4 SCM的符號規定31 2-5 SCM之誤差說明33 2-6 SCM求解流程介紹 35 第三章 彈性I型梁的側向扭轉挫屈問題之SCM近似分析36 3-1 結構桿件發生不均勻扭曲之扭性載重與變位特徵36 3-2 梁之側向扭轉挫屈(Lateral Torsional Buckling of Beams )41 3-3 彈性I型梁在純彎曲下之側向扭轉挫屈分析42 3-4 以SCM分析彈性I型梁在純彎曲下之側向扭轉挫屈問題 50 3-4-1 以SCM求解簡支I型梁在純彎曲下發生側向扭轉挫屈時,其各模態的臨界負載(M 0,cr)以及所對應於x-y平面上之扭轉挫屈形狀(γ)50 3-4-2 以SCM求解簡支I型梁在純彎曲下發生側向扭轉挫屈時,其於x-z平面上之各模態的側向挫屈形狀(μ) 57 3-4-3 以SCM求解簡支I型梁在純彎曲下發生側向扭轉挫屈時,其於y-z平面上之第一模態的各節點撓度值(v) 64 第四章 彈性矩形梁的側向扭轉挫屈問題之SCM近似分析69 4-1 彈性矩形梁在純彎曲下之側向扭轉挫屈分析69 4-2 以SCM分析彈性矩形梁在純彎曲下之側向扭轉挫屈問題77 4-2-1以SCM求解簡支矩型梁在純彎曲下發生側向扭轉挫屈時,其各模態的臨界負載(M 0,cr)以及所對應於x-y平面上之扭轉挫屈形狀(γ)77 4-2-2以SCM求解簡支矩型梁在純彎曲下發生側向扭轉挫屈時,其於x-z平面上之各模態的側向挫屈形狀(μ) 84 4-2-3 以SCM求解簡支I型梁在純彎曲下發生側向扭轉挫屈時,其於平面上之第一模態的各節點撓度值(v) 90 第五章 實際案例分析95 5-1 以SCM分析彈性I型梁之側向扭轉挫屈問題之實際案例95 5-2 以SCM分析彈性矩形梁之側向扭轉挫屈問題之實際案例111 第六章 結論與未來展望133 6-1 結論133 6-2 未來展望138 參考文獻139 附錄141 | |
dc.language.iso | zh-TW | |
dc.title | 應用SCM於彈性梁之側向扭轉挫屈之分析 | zh_TW |
dc.title | Analysis of Lateral Torsional Buckling of Elastic Beams
by Using Spline Collocation Method | en |
dc.type | Thesis | |
dc.date.schoolyear | 98-2 | |
dc.description.degree | 碩士 | |
dc.contributor.coadvisor | 鍾立來 | |
dc.contributor.oralexamcommittee | 徐德修,王仁佐,陳永祥 | |
dc.subject.keyword | 節點佈置,側向扭轉挫屈,特徵現象,主要剛度比, | zh_TW |
dc.subject.keyword | SCM,MSCM,Eigenvalue Problems,Lateral Torsional Buckling, | en |
dc.relation.page | 145 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2010-06-24 | |
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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