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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 | Shin-Chao Tseng | en |
dc.contributor.author | 曾信超 | zh_TW |
dc.date.accessioned | 2021-06-15T03:56:15Z | - |
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] C.W. Bert, Youngkwang Sheu, 1996, 〝Static Analyses of Beams and Plates by Spline Collocation Method〞, Journal of Engineering Mevhanics (April), 375-378.
[2] P.M. Prenter, 1975,〝Spline and Variational Methods〞, John Wiley & Sons, Inc., New York, N.Y. [3] S.K. Jang, 1987,〝Application of Differential Quadrature to Static Analysis of Structural Components〞, PhD dissertation, The Univ. of Oklahoma, Norman, Okla [4] C.W. Bert, A.G. Striz and W. Chen, 1994,〝Static analysis of structures by the quadrature element method〞, Int.J. Solids Structures, Vol. 31, No. 20, 2807-2818. [5] C.W. Bert and A.G. Striz, 1989〝Application of differential quadrature to static analysis of structural components〞Int. J. Numerical Methods in Engrg, 28, 561-577. [6] Prenter, P. M., “Splines and Variational Methods,” John Wiley & Sons, Inc., New York, N. Y. (1975). [7] Ray W.Clough and Joseph Penzien, “Dynamics of Structures ,” McGraw-Hill,Inc.Second Edition,(1993) [8] Anil K.Chopha, “Dynamics of Structures Theory And Applications To Earthquake Engineering,” Second Edition,(2001) [9] 楊耀昇“SCM於Timoshenko梁之分析硏究”,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,2005。 [10] 戴薏燈“SCM 於彈性基礎上樑柱之分析研究”,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,2005。 [11] 吳兆民“SCM 於梁振動之分析”,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,2006。 [12] 林永盛“基礎結構動力(下) ”,文笙書局,(1997) [13] 林俊良〝應用 SCM與 SCEM於彈性基礎梁之分析研究〞, 國立台灣大學土木工程學研究所碩士論文,吳賴雲、鍾立來教授指導,民國九十一年六月。 [14] 林俊良〝應用 SCM與 SCEM於彈性基礎梁之分析研究〞, 國立台灣大學土木工程學研究所碩士論文,吳賴雲、鍾立來教授指導,民國九十一年六月。 [15] 陳彥宗〝SCM應用於結構分析之研究〞,國立台灣大學土木工程學研究所碩士論文,吳賴雲、鍾立來教授指導,民國九十年六月。 [16] 陳彥樺〝移動質量與荷載作用下之剛架結構動力行為分析〞,國立中央大學土木工程學研究所碩士論文,王仲宇教授指導,民國九十六年七月。 [17] Akin J. E., and Mofid M., “Numerical Solution for Response of Beams with Moving Mass,” Journal of Structure Engineering, Vol. 115, No. 1, pp. 120-131,(1989). [18] Yang Y. B., and Wu Y. S., “A Versatile Element for AnalyzingVehicle–Bridge Interaction Response,” Engineering Structures, Vol. 23, pp. 452-469, (2001). [19] Dugush, Y. A., and Eisenberger, M., “Vibrations of Non-Uniform ContinuousBeams under Moving Loads,” Journal of Sound and Vibration, Vol. 254, pp.911-926, (2005). [20] Yang, Y. B., and Lin, B. H., “Vehicle-Bridge Interaction Analysis by DynamicCondensation Method,” Journal of Structural Engineering, Vol. 121, pp.1636-1643, (1995). [21] Henchi, K., Fafard, M., Dhatt G., and Talbot, M., “Dynamic Behavior of Multi-Span Beams under Moving Loads,” Journal of Sound and Vibrations, Vol. 199, pp. 33-50, (1997). [22] Clough, R. W., and Penzien, J., Dynamics of Structures, New York,McGraw-Hill; (1993). [23] Lin, Y. H., Trethewey, M. W., Reed, H. M., Shawley, J. D., and Sager, S. J., “Dynamic Modeling and Analysis of a High-Speed Precision DrillingMachine,” Journal of Vibration and Acoustics, Vol. 112, pp 355-365, (1990). [24] 陳志偉〝以有限元素法分析軌道結構於輪-軌互制作用下之反應〞,國立成功大學土木工程學研究所碩士論文,郭振銘教授指導,民國九十二年六月。 [25] Ayre, R. S., and Jacobsen, L. S., “Transverse Vibration of a Two-Span BeamUnder Action of s Moving Alternating Force,” Applied Mechanics Division,Vol. 50, pp. 283-290, (1950). [26] Ayre, R. S., Ford, G.., and Jacobsen, L. S., “Transverse Vibration of a Two-Span Beam Under Action of a Moving Constant Force,” Applied Mechanics Division, No. 49, pp. 1-12, (1950). [27] Ting, E. C., Genin J., and Ginsberg J. H., “A General Algorithm for Moving Mass Problems,” Journal of Sound and Vibration, Vol. 33, pp. 49-58, (1974). [28] Richardson, H. H., and Wormley, D. N., “Transportation Vehicle Beam -Elevated Guieway Dynamic Interactions - a State-of-the-Art Review,” Journal of Dynamic Systems, Measurement, and Control, Vol. 96, pp. 169-179,(1974). [29] Sridharan, N., and Mallik, A. K., “Numerical Anlysis of Vibration of Beams Subjected to Moving Loads,” Journal of Sound and Vibration, Vol. 65, pp.147-150, (1979). [30] Zibdeh, H. S., “Stochastic Vibration of an Elastic Beam due to Random Moving Loads and Deterministic Axial Forces,” Engineering Structures, Vol.17, pp. 530-535, (1995). [31] Yang, Y. B., and Lin, B. H., “Vehicle-Bridge Interaction Analysis by Dynamic Condensation Method,” Journal of Structural Engineering, Vol. 121, pp.1636-1643, (1995). | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/44843 | - |
dc.description.abstract | SCM(Spline Collocation Method)是由forward difference 所推導之Spline function ,並配合結點佈置(Collocation)的方式,所發展出的一種數值方法;再由各階之Spline function 整理製作出完整的B Spline Value Table。
本文應用SCM直接模擬動力控制方程式,並以查表的方式取代原本複雜之積分過程,進而轉為求解聯立代數式而得出結構物各項數值解的方法,可從中看到其求解過程的便利性。且其能不侷限於任何形式的載重或邊界條件,僅需結構之控制方程式,即能求得令人滿意之近似解,並由於其計算過程方便於電子運算,將其有系統的編寫電腦程式,以方便求解。 最後,本文亦舉若干實例進行SCM的數值分析,將分析結果與數學上的解析解相互比較,以顯示出本文所建議的SCM 方法確有其優勢所在,為一種具有高準確性、便捷性與可應用性的數值方法,值得作進一步之應用分析研究。 | zh_TW |
dc.description.provenance | Made available in DSpace on 2021-06-15T03:56:15Z (GMT). No. of bitstreams: 1 ntu-99-R97521232-1.pdf: 4191259 bytes, checksum: 68206742cf5ae9a4f56f7e53b1cc0b1a (MD5) Previous issue date: 2010 | en |
dc.description.tableofcontents | 第一章 緒論............................................... 1
1-1前言................................................ 1 1-2文獻回顧與研究方法.................................... 2 1-2-1 SCM與SCEM之文獻回顧................................. 2 1-2-2 移動荷載問題之文獻回顧.............................. 3 1-2-3 研究方法............................................ 5 1-3本文大綱.............................................. 5 第二章 SCM與SCEM基礎理論介紹.............................. 7 2-1 Spline Collocation Method(SCM)理論介紹............... 7 2-1-1 Spline Collocation Method(SCM)理論推導.............. 9 2-1-2 Bi(x)表格化........................................... 17 2-1-3 SCM相關之運算說明..................................20 2-1-4載重之模擬..........................................20 2-1-5 SCM求解過程介紹....................................22 2-1-6誤差說明............................................23 2-2 Spline Collocation Element Method(SCEM)理論........25 2-2-1 SCEM直接法模擬性梁.................................26 2-2-2 SCEM的矩陣形式.....................................33 2-2-3 SCEM求解過程介紹...................................34 第三章 彈性基礎梁上移動荷載之SCM動力分析..................35 3-1彈性基礎梁之控制方程式推導.............................35 3-1-1 Winkler Model動力方程式理論推導…..................35 3-1-2 Pasternak Model 動力方程式理論推導….........38 3-2 梁之SCM動力分析推導................................38 3-2-1空間離散方式..................................38 3-2-2時間離散方式........................................39 3-2-3計算流程............................................39 3-2-4邊界條件............................................42 3-3移動荷載基本理論.......................................45 3-3-1移動荷載模擬方法.................................45 3-3-2單移動荷載模擬方法...............................45 3-3-3序列移動荷載模擬方法.............................47 3-4梁於彈性基礎上移動荷載之SCM動力分析................48 3-4-1 Winkler Model 之SCM動力分析........................48 3-4-2 Pasternak Model 之SCM動力分析......................51 3-4-3 實例分析: Winkler基礎簡支梁受移動荷載..............53 第四章SCEM之動力分析......................................57 4-1梁於SCEM動力分析.......................................57 4-2 實例分析:簡支梁受移動荷載.............................63 第五章 實例分析...........................................65 5-1單移動荷載動力分析.................................65 5-1-1懸臂梁之單移動荷載動力分析...................65 5-1-2簡支梁之單移動荷載動力分析...................71 5-1-3 fixed-hinge梁之單移動荷載動力分析...........76 5-1-4 hinge-fixed梁之單移動荷載動力分析...........81 5-1-5 fixed-fixed梁之單移動荷載動力分析...........86 5-1-6三跨連續梁之單移動荷載動力分析.............. 90 5-2多移動荷載動力分析.................................96 5-2-1懸臂梁之多移動荷載動力分析...................96 5-2-2簡支梁之多移動荷載動力分析..................106 5-2-3 fixed-hinge梁之多移動荷載動力分析..........113 5-2-4 hinge-fixed梁之多移動荷載動力分析..........119 5-2-5 fixed-fixed梁之多移動荷載動力分析..........124 5-2-6三跨連續梁之多移動荷載動力分析..............130 第六章 結論與未來展望....................................138 6-1結論..................................................138 6-2未來展望..............................................139 參考文獻.................................................140 附錄A FORWARD DIFEFERENCE METHOD 介紹...................143 | |
dc.language.iso | zh-TW | |
dc.title | 應用SCEM於彈性基礎梁承受移動荷載之動力分析研究 | zh_TW |
dc.title | Dynamic Response of Beam on Elastic Foundation under Moving Loads by SCEM | en |
dc.type | Thesis | |
dc.date.schoolyear | 98-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 徐德修,鍾立來,王仁佐,陳永祥 | |
dc.subject.keyword | 移動荷載, | zh_TW |
dc.subject.keyword | Moving Loads,SCEM, | en |
dc.relation.page | 146 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2010-06-23 | |
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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