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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 盧中仁 | |
dc.contributor.author | Hao-Wei Chen | en |
dc.contributor.author | 陳浩瑋 | zh_TW |
dc.date.accessioned | 2021-06-16T10:25:10Z | - |
dc.date.available | 2015-08-20 | |
dc.date.copyright | 2013-08-20 | |
dc.date.issued | 2013 | |
dc.date.submitted | 2013-08-15 | |
dc.identifier.citation | [1] Thearele, E.L., 1950, 'Automatic Dynamic Balancer (Part 1-Leblanc Balancer),' Machine Design, 22(Sep.), pp. 119-124.
[2] Thearele, E.L., 1950, 'Automatic Dynamic Balancer (Part 2-Ring, Pendulum, Ball Balancer),' Machine Design, 22(Oct.), pp. 103-106. [3] Alexander, J.D., 1964, 'An Automatic Dynamic Balancer,' Proceedings for the Second Southeastern Conference, pp. 415-426. [4] Cade, J.W., 1965, 'Self-Compensating Balancing in Rotating Mechanism,' Design News, pp. 234-239. [5] Bovik, P. and Hogfors, C., 1986, 'Autobalancing of Rotors,' Journal of Sound and Vibration, 111(3), pp. 429-440. [6] Tadeusz, M., 1988, 'Position Error Occurrence in Self Balancers Used on Rigid Rotors of Rotating Machinery,' Mechanism and Machine Theory, 23(1), pp. 71-78. [7] Lee, J. and Moorham, W.K.V., 1996, 'Analytical and Experimental Analysis of a Self-Compensating Dynamic Balancer in a Rotating Mechanism,' ASME Journal of Dynamic Systems, Measurement and Control, 118, pp. 468-475. [8] Chung, J. and Ro, D.S., 1999, 'Dynamic Analysis of an Automatic Dynamic Balancer for Rotating Mechanisms,' Journal of Sound and Vibration, 228(5), pp. 1035-1056. [9] Hwang, C.-H. and Chung, J., 1999, 'Dynamic Analysis of an Automatic Ball Balancer with Double Races,' JSME International Journal, Series C, 42(2), pp. 265-272. [10] Lu, C.J. and Hung, C.H., 2008, 'Stability Analysis of a Three-Ball Automatic Balancer,' ASME Journal of Vibration and Acoustics, 130(5), pp. 051008-1- 051008-7. [11] Lu, C.J., 2006, 'Stability Analysis of a Single-Ball Automatic Balancer,' ASME Journal of Vibration and Acoustics, 128(1), pp. 122-125. [12] Lu, C.J., Wang, M.C., and Huang, S.H., 2009, 'Analytical Study of the Stability of a Two-Ball Automatic Balancer,' Mechanical Systems and Signal Processing, 23(3), pp. 884-896. [13] Wang, M.-C. and Lu, C.-J., 2007, 'Dynamic Characteristics of a One-Unit Ball-Rod-Spring Balancer,' ASME Journal of Vibration and Acoustics, 129(4), pp. 520-524. [14] Green, K., Champneys, A.R., and Friswell, M.I., 2006, 'Analysis of the Transient Response of an Automatic Dynamic Balancer for Eccentric Rotors,' International Journal of Mechanical Sciences, 48(3), pp. 274-293. [15] Green, K., Champneys, A.R., and Lieven, N.J., 2006, 'Bifurcation Analysis of an Automatic Dynamic Balancing Mechanism for Eccentric Rotors,' Journal of Sound and Vibration, 291(3-5), pp. 861-881. [16] C.-J. Lu and Y.-M. Lin, 2011, “A Modified Incremental Harmonic Balance Method for Rotary Periodic Motions,” Nonlinear Dynamics, 66, pp. 781-788. [17] S. L. Lau, and S. W. Yuen, 1993, “Solution Diagram of Non-Linear Dynamic Systems by the IHB method,” Journal of Sound and Vibration, Vol. 167(2), pp. 303-316. [18] 田孟軒, 2011, “滾珠平衡系統週期解的數值分析和實驗驗證, ” 台灣大學碩士論文. [19] Hedaya, M.T. and Sharp, R.S., 1977, 'Analysis of a New Type of Automatic Balancer,' Journal of Mechanical Engineering Science, 19(5), pp. 221-226. [20] Sperling, L., Merten, F., and Duckstein, H., 2000, 'Self-Synchronization and Automatic Balancing in Rotors Dynamics,' International Journal of Rotating Machinery, 6(4), pp. 275-285. [21] Sperling, L., Ryzhik, B., Linz, C., and Duckstein, H., 2002, 'Simulation of Two-Plane Automatic Balancing of a Rigid Rotor,' Mathematics and Computers in Simulation, 58(4-6), pp. 351-365. [22] Rodrigues, D.J., Champneys, A.R., Friswell, M.I., and Wilson, R.E., 2008, 'Automatic Two-Plane Balancing for Rigid Rotors,' International Journal of Non-Linear Mechanics, 43(6), pp. 527-541. [23] Ehyaei, J., Moghaddam M. M., 2009, 'Dynamic Response and Stability Analysis of an Unbalanced Flexible Rotating Shaft Equipped with n Automatic Ball-balancers ,' Journal of Sound and Vibration, 321, pp. 554-571. [24] 王明正, 2010, “ 滾珠自動平衡機構應用於二維與三維系統偏心制振之研究,” 台灣大學博士論文. [25] 徐穎, 2012, “長轉子雙滾珠自動平衡裝置週期解的參數分析, ” 台灣大學碩士論文. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60662 | - |
dc.description.abstract | 在各式機具轉速日益提升的現今,為了避免旋轉時產生的偏心振動,需要精確的動態平衡校正。然而隨著工作情況的不同,轉子的偏心量也可能產生差異,此時可以減少偏心振動的自動平衡裝置是極有益處的。其中滾珠型自動平衡裝置在適當條件下對平面或長轉子系統皆可有效的達到制振效果。在抵銷轉子偏心量時,滾珠會定位於特定位置,稱為完全平衡位置。除了完全平衡位置,滾珠自動平衡裝置也可能引發滾珠相對於轉子振盪或持續旋轉的週期性運動,並伴隨有劇烈的振動。為了確保系統能夠進入完全平衡位置,必需深入了解週期性運動的特性。這一方面的研究一般使用修正漸近諧和平衡法(modified incremental harmonic balance method,MIHB法)求取週期解。但MIHB法計算上需要長時間迭代運算,同時在某些條件下會無法收斂,本論文即探討如何利用諧和平衡法(harmonic balance method,HB法)更有效率的求取平面以及長轉子系統旋轉週期解的近似解。首先建立系統的理論模型,利用Lagrange方程式推導系統的統御方程式。觀察旋轉週期解的特性以提出適當的假設並得到近似解的形式,接著利用諧和平衡法求取週期解,週期解的穩定性則由Floquet理論判別。將結果與MIHB法比較,了解HB法所得結果準確性與適用範圍。最後架設實驗裝置,驗證HB法所得的結果。 | zh_TW |
dc.description.abstract | Nowadays the speed of rotary machinery is keeping increasing to meet the demand for higher efficiency. To avoid imbalance vibrations at high rotational speeds, precision dynamic balancing of the rotor is required. However, the imbalance of the rotor may change during the working process. In this case, it is beneficial to have an auto-balance instrument that can counterbalance the varying imbalance. Ball-type automatic balancers have been employed successfully in planar and long rigid rotor system for suppressing the imbalance vibration. When the rotor is completely counterbalanced, the balls will position themselves at specific locations. The corresponding equilibrium configuration of the system is referred to as the perfect balancing position. Instead of the perfect balancing position, the system may settle to a periodic motion and suffers from large vibrations. To ensure the system settles to the perfect balancing position, it is essential to have a full understanding of the periodic motions. The modified incremental harmonic balance (MIHB) method has been successfully applied to the determination of the periodic motions of auto-balance systems. However, a lot of iteration calculations are required for the MIHB method and the iteration process may diverge sometimes. This thesis studies the feasibility of using the harmonic balance (HB) method for an efficient determination of the periodic solution of an auto-balancer system. First, Lagrange’s equations are employed to derive the governing equations for the mathematical model of the auto-balancer system. Then, the MIHB method is used to determine periodic solutions under different sets of parameter values. On the basis of the essential characteristics of the periodic solution, mathematic forms for the approximate solution for the periodic solution are proposed and the HB method is used to determine the unknown coefficients. The stability of the periodic solutions is determined by the Floquet theory. The results of the HB method are compared with those of the MIHB method. Finally, experiments are conducted to verify the results of the HB method. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T10:25:10Z (GMT). No. of bitstreams: 1 ntu-102-R00522522-1.pdf: 7018472 bytes, checksum: 5f7d2184cfd7d10841a254c54f1c9262 (MD5) Previous issue date: 2013 | en |
dc.description.tableofcontents | 目錄
口試委員會審定書…………………………………………………………… i 中文摘要……………………………………………………………………… ii 英文摘要………………………………………………………………………. iii 圖目錄…………………………………………………………………………. vii 表目錄…………………………………………………………………………. x 1 第一章 緒論 1 1.1 研究動機 1 1.2 參考文獻 2 1.3 論文架構 4 2 第二章 平面滾珠平衡系統 5 2.1 理論模型 5 2.2 運動方程式 7 2.3 Modified Incremental Harmonic Balance method (MIHB) 8 2.4 Harmonic Balance Method 12 2.4.1 旋轉週期解的特性 12 2.4.2 旋轉週期解分析 16 2.5 穩定性分析 17 2.6 數值結果討論 18 2.6.1 MIHB法與HB法結果比較 18 2.6.2 旋轉週期解臨界轉速 21 2.6.3 穩定區域分析 25 2.6.4 計算效率比較 27 2.7 實驗驗證 28 2.7.1 實驗設備 28 2.7.2 支承阻尼的影響 31 2.7.3 制振比的影響 33 2.7.4 軌道阻尼的影響 34 3 第三章 三維長轉子滾珠平衡系統 36 3.1 理論模型 36 3.2 運動方程式 38 3.3 旋轉週期解的種類與特性 42 3.3.1 靜態不平衡(圓柱型) 44 3.3.2 力偶不平衡(圓錐型) 46 3.3.3 動態不平衡 48 3.4 Harmonic Balance Method(HB) 52 3.4.1 圓柱型旋轉週期解分析 52 3.4.2 圓錐型旋轉週期解分析 53 3.4.3 類圓柱及類圓錐旋轉週期解 54 3.5 數值結果分析 58 3.5.1 MIHB法與HB法結果比較 58 3.5.2 旋轉週期解臨界轉速 63 3.5.3 穩定區域分析 64 第四章 結論 70 4 參考文獻 71 5 附錄 74 | |
dc.language.iso | zh-TW | |
dc.title | 利用諧和平衡法分析滾珠自動平衡裝置的旋轉週期解 | zh_TW |
dc.title | Pure-Rotary Periodic Motions of Auto-Balancer Systems by Harmonic Balance Method | en |
dc.type | Thesis | |
dc.date.schoolyear | 101-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 伍次寅,蘇春? | |
dc.subject.keyword | 自動平衡裝置,轉子,旋轉週期解,偏心振動, | zh_TW |
dc.subject.keyword | auto-balancer,rotor,rotary periodic motion, | en |
dc.relation.page | 75 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2013-08-15 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
顯示於系所單位: | 機械工程學系 |
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