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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 應用力學研究所
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/24342
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???org.dspace.app.webui.jsptag.ItemTag.dcfield???ValueLanguage
dc.contributor.advisor張建成(Chien-Cheng Chang)
dc.contributor.authorI-Chieh Changen
dc.contributor.author張奕傑zh_TW
dc.date.accessioned2021-06-08T05:22:34Z-
dc.date.copyright2011-08-08
dc.date.issued2011
dc.date.submitted2011-07-29
dc.identifier.citation[1]World Wind Energy Report 2010. World Wind Energy Association WWEA 2011.
[2]Global Wind 2010 Report. Global Wind Energy Council GWEC 2011.
[3]H. F. Bauer. Vibration of a Rotating Uniform Beam, Part I: Orientation in the Axis of Rotation. Journal of Sound and Vibration 1980; 72(2): 177-189.
[4]J. W. Z. Zu, R. P. S. Han. Natural Frequencies and Normal Modes of a Spinning Timoshenko Beam with General Boundary Conditions. Journal of Applied Mechanics 1992; 59: 197-204.
[5]O. Song, L. Librescu. Free Vibration of Anisotropic Composite Thin-walled Beams of Closed Cross-section Contour. Journal of Sound and Vibration 1993; 167(1): 129-147.
[6]M. L. Chen, Y. S. Liao. Vibrations of Pretwisted Spinning Beams Under Axial Compressive Loads with Elastic Constraints. Journal of Sound and Vibration 1991; 147(3): 497-513.
[7]J. R. Banerjee. Free Vibration Analysis of a Twisted Beam Using the Dynamic Stiffness Method. International Journal of Solids and Structures 2001; 38: 6703-6722.
 
[8]M. A. Shubov. Mathematical Modeling and Analysis of Flutter in Bending-torsion Coupled Beams, Rotating Blades, and Hard Disk Drives. Journal of Aerospace Engineering 2004; 56: 893-1321.
[9]S. J. Savonius. The S-Rotor and Its Applications. Mech Eng 1931; 53(5): 333-8.
[10]B. K. Kirke. Evaluation of Self-starting Vertical Axis Wind Turbines for Stand-alone Applications. PhD thesis, Griffith University, Australia, 1998.
[11]M. Islam, D. S.-K. Ting, A. Fartaj. Aerodynamic Models for Darrieus-type Straight-bladed Vertical Axis Wind Turbines. Renewable and Sustainable Energy Reviews 2008; 12: 1087-1109.
[12]G. J. M. Darrieus. Turbine Having Its Rotating Shaft Transverse to the Flow of the Current. US Patent No. 1835081, 1931.
[13]D. E. Berg. Vertical-Axis Wind Turbines-The Current Status of an Old Technology. Sandia National Laboratories.
[14]Y. C. Fung. An Introduction to the Theory of Aeroelasticity, First edition, Dover, 1969.
[15]J. R. Banerjee, H. Su. Development of a Dynamic Stiffness Matrix for Free Vibration Analysis of Spinning Beams. Journal of Computers and Structures 2004;82:2189-2197. 
[16]S. V. Hoa. Vibration of a Rotating Beam with Tip Mass. Journal of Sound and Vibration 1979; 67(3): 369-381.
[17]J. F. Manwell, J. G. McGowan, A. L. Rogers. Wind Energy Explained: Theory, Design and Application, Second edition, Wiley, 2009.
[18]S. H. R. Eslimy-Isfahany, J. R. Banerjee, A. J. Sobey. Response of a Bending-Torsion Coupled Beam to Deterministic and Random Loads. Journal of Sound and Vibration 1996; 195(2): 267-283.
[19]P. O. Friberg. Coupled Vibrations of beams- An Exact Dynamic Element Stiffness Matrix. International Journal for Numerical Methods in Engineering 1983; 19: 479-493.
[20]R. E. D. Bishop, S. M. Cannon, S. Miao. On Coupled Bending and Torsional Vibration of Uniform Beams. Journal of Sound and Vibration 1989; 131(3): 457-464.
[21]E. Dokumaci. An Exact Solution for Coupled Bending and Torsion Vibrations of Uniform Beams Having Single Cross-sectional Symmetry. Journal of Sound and Vibration 1987; 119(3): 443-449.
[22]W. Soedel. Vibrations of Shells and Plates, Second edition, Revised and Expanded, Dekker, 1993.
[23]J. M. Gere. Mechanics of Materials, Sixth edition, Thomson, 2006.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/24342-
dc.description.abstract風能被喻為最具有發展潛力的再生能源,風力發電機主要分為水平軸風力發電機(HAWT)和垂直軸風力發電機(VAWT),垂直軸風力發電機因為不受風向變化的影響、架設容易且運轉時噪音比水平軸風力發電機小,較適合安裝於市區,非常具有發展的潛力。不過由於垂直軸風力發電機的效率僅能達到約百分之三十,水平軸風力發電機則能達到約百分之四十,因為效率較低,使得垂直軸風力發電機的相關技術需要提升,才能在現有主流的水平軸風力發電機市場占有一席之地,如何使葉片有效的運作,不會因為旋轉時振動的關係而造成破壞,維持良好的性能是很重要的問題。
葉片在運轉的過程中承受複雜的風力負載,過去的許多文獻在探討這個問題時,對於葉片的變形僅以徑向位移和切向位移來表示,且是以力平衡的方法來推導。本文獨特的貢獻在於藉由能量法漢彌爾頓定理來推導,使得適用範圍較為廣泛,並特別將旋轉速度加入考慮,這是在旋轉時相當重要的參數,推導出葉片旋轉時自由振動的控制方程式,以解析的方式算出葉片運動時的自然頻率和振動模態。再使用工程軟體ANSYS Workbench來做模擬,對葉片做模態分析,計算出各個旋轉速度下的自然頻率,並與理論值相比較。因為本文所使用的方法,較貼近實際風力發電機運轉時的情形,使得解析解與數值模擬的結果,在低自然頻率時,也就是風力發電機實際可能運轉的頻率下,預測結果相當一致,以此解析的方法可以快速且準確的預測葉片會發生共振時的自然頻率,能夠早在設計的階段,經由變更結構的設計,來預防實際運轉時可能產生的破壞,達到提高垂直軸風力發電機效能的目的。
zh_TW
dc.description.abstractWind power is the most potential source of renewable energy. There are two categories of modern wind turbines, namely horizontal axis wind turbines (HAWT) and vertical axis wind turbines (VAWT). Vertical axis wind turbines have the major benefit of operation that is independent of the wind direction. Other benefits include easier installation and lower noise radiation than the horizontal axis wind turbines. Therefore they have great potential for applications in the urban area. Nevertheless, higher efficiency is offered by a horizontal wind turbine as it has blades in perpendicular to direction of wind and hence receives more power for rotation. To ensure that the blades operate effectively, it is important that that their structure is dynamically safe when in rotation.
There has been a growing interest in the investigation of free vibration characteristics of rotating beams because the topic plays an important role in the design of shafts, turbine blades, propellers and many other rotating structures. In this present paper, we use Hamilton’s principal to derive the dynamic governing equations for the rotational slender blade. We especially take rotational velocity which is a very important parameter when rotating into consideration. Theoretical natural frequencies and mode shapes for some illustrative examples are calculated and compared with the simulation of ANSYS Workbench. These results are discussed and compared with published ones, and we can predict the first few lower natural frequencies quite accurately. Vertical axis wind turbine is verified that the theoretical model can provide mechanical insight into the design of the blades. The vertical axis wind turbine blades are flexible, highly dynamic structure, with many natural modes of vibration that must be carefully analyzed to ensure the blades are dynamically stable under all operating conditions.
en
dc.description.provenanceMade available in DSpace on 2021-06-08T05:22:34Z (GMT). No. of bitstreams: 1
ntu-100-R98543071-1.pdf: 7695255 bytes, checksum: 0592be011b2b07f38f50ba65ee72b99c (MD5)
Previous issue date: 2011
en
dc.description.tableofcontents誌謝...................................i
摘要..................................ii
Abstract.............................iii
目錄...................................v
圖目錄..............................viii
表目錄...............................xii
第一章 緒論............................1
1.1 前言...............................1
1.2 全世界風力發電發展現況.............2
1.3 臺灣風力發電發展現況...............4
1.4 文獻回顧..........................12
1.5 研究目的..........................13
第二章 風力發電機簡介.................14
2.1 現代風力發電機概況................14
2.2 水平軸風力發電機種類及特性........15
2.3 垂直軸風力發電機種類及特性........16
2.3.1 Savonius型風力發電機............17
2.3.2 Darrieus型風力發電機............19
2.3.3 H-Rotor型風力發電機.............21
2.4 垂直軸風機與水平軸風機之比較......23
第三章 控制方程式.....................26
3.1 基本假設..........................26
3.2 漢彌爾頓定理......................27
3.3 系統模型..........................27
3.4 控制方程式之推導..................31
3.4.1 動能之推導......................31
3.4.2 位能之推導......................34
3.5 控制方程式........................39
3.6 葉片剖面分析......................40
第四章 有限元素分析...................45
4.1 ANSYS Workbench介紹...............45
4.2 ANSYS Workbench處理基本過程.......47
4.3 靜力結構分析......................56
4.4 模態分析..........................57
第五章 結果與討論.....................59
5.1 自然模態分析......................59
5.1.1 簡支撐..........................60
5.1.2 固定支撐........................62
5.2 簡支撐結果........................67
5.2.1 小尺度葉片......................67
5.2.2 大尺度葉片......................69
5.2.3 簡支撐之葉片模態................71
5.3 固定支撐..........................72
5.3.1 小尺度葉片......................72
5.3.2 大尺度葉片......................74
5.3.3 固定支撐之葉片模態..............76
5.4 ANSYS Workbench模態分析...........78
5.4.1 簡支撐..........................78
5.4.2 固定支撐........................81
5.5 彎曲葉片..........................85
5.6 有Xc之葉片分析....................90
5.7 討論..............................94
第六章 結論與展望.....................96
6.1 結論..............................96
6.2 未來展望..........................99
參考文獻.............................100
dc.language.isozh-TW
dc.subject模態分析zh_TW
dc.subject葉片振動zh_TW
dc.subject自然頻率zh_TW
dc.subjectNatural frequenciesen
dc.subjectModal analysisen
dc.subjectBlade vibrationen
dc.title旋轉垂直軸風力發電機葉片之振動分析zh_TW
dc.titleVibration Analysis of Rotating Vertical Axis Wind Turbine Bladesen
dc.typeThesis
dc.date.schoolyear99-2
dc.description.degree碩士
dc.contributor.coadvisor郭志禹(Chih-Yu Kuo)
dc.contributor.oralexamcommittee朱錦洲(Chin-Chou Chu),蘇正瑜,宮春斐
dc.subject.keyword葉片振動,自然頻率,模態分析,zh_TW
dc.subject.keywordBlade vibration,Natural frequencies,Modal analysis,en
dc.relation.page102
dc.rights.note未授權
dc.date.accepted2011-07-29
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept應用力學研究所zh_TW
Appears in Collections:應用力學研究所

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